P1985-3
TRANSACTIONS
1985
SECTIE VOCR
2
TABLE OF CONTENTS
H.J. \Nesters
"PREFACE"
A. Morrall
"Ships in breaking waves"
G.H. Elsley, D.J. Hardy
and M. Stevens
"Hovercraft - towards the second
quarter century"
C.A. Carlsen
"Offshore accidents and their impact
on Rules and Regulations"
Rink
(MARIN)
and W. BetikeIrnan
(TH Delft)
"The SOS systematic series high
speed hull forms"
Jaarverslag
- S.S.T. 1984
Financieel jaarverslag 1984
Lecienlijst
- S.S.T. volgens
september 1985
(chairman K.I.V.I. -S.S.T.)
(N.M.I. - i_td)
(Britisch Hovercraft Corp.
Ltd)
//
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SECTIE
VOOR
KONINKLIJK INSTITUUT VAN INGENIEURS
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Jr. H.J. Westers voorzitter SST
SHIPS IN BREAKING WAVES
by
A. Morrall, NMI Ltd.
kivi
SHIPS IN BREAKING WAVES by A. Morral, NMI Ltd.
1. Introduction
The safety at sea for smaller vessels has always been at a level where inprovements are desirable. In the period 1970-1977, 11 vessels were lost in British waters and many were considered to have capsized. During the same period some 41 vessels were lost in Norwegian waters. Although it was not possible to explain all of these losses many of them were lost in bad weather and loss due to capsizing in extreme seas is probable in many cases.
In a number of the Norwegian losses where there were survivors, it has been confirmed that these particular vessels capsized in extreme sea conditions.
Many navigators have experienced extreme sea states in areas where waves and current interact. When these events have resulted in a vessel capsizing the survivors have graphically described the moments before disaster struck: "a wall of water was run-ning towards us and collapsed over us".
In 1978 the Norwegians initiated a new project "SHIPS IN ROUGH SEAS" (SIS) to improve the safety of smaller vessels. The aim was to use theoretical and experimental work and experience to improve the under-standing of manoeuvring, rolling and cap-sizing, i.e. the response of ships to severe conditions in the form of extreme movements. It was also within the scope of this project to try to establish new criteria for the stability of vessels on the basis of know-ledge of extreme environmental conditions and the motion properties of the vessel. This would be an improvement compared to the established stability citeria (i.e. IMO Intact Stability Criterion Resolutions A167 and A168) which considers the ship in calm water.
Nummerical Simulation of Breaking Waves
Recent accidents with fishing vessels in
breaking waves have focussed the attention
of naval architects on the dynamics of
extreme waves. For example, there has been a
lack of knowledge of the velocities and
accelerations in the structure of the breaking wave which are needed for
calcu-lating resulting forces on the vessel.
A number of theories for steady, finite
amplitude surface waves are available.
How-ever, in general they are only valid for
sym-metrical, progressive waves. Longuet-Higgins
and Cokelet (1) 1976 and Cokelet (2) 1978 have developed a numerical technique for
sol-ving the periodic, two-dimensional, deep water breaking wave problem. This method is based
on potential theory and a conformal mapping
of the physical plane inside a closed contour
in the mapped plane, and the equations of
mo-tions are solved in this plane. The wave form
in the physical plane is then found by an
in-version of the mapping.
In 1980 Vinje and Brevig (3) presented a
simi-lar method to that mentioned above, but with the exception that the problem is solved in the
physical plane and finite depth is introduced.
The advantage of this method is that certain
other effects can be included.
For example a floating cylinder can be
introdu-ced to represent the ship motion problem in
two-dimensional breaking waves.
The numerical simulation was carried out for
an initial wave which cannot remain steady
and where initially a sinusoidal wave was
given a large amplitude (steepness D/ =
0.13) and allowed to run freely in deep
water. As the wave progressed it became
asymmetric and the wave front steepened. A
smooth jet of fluid was ejected from the
wave crest and hit the forward face of the
wave. This describes the formation of a
plunging breaker. In shallow-water the wave
would develop much faster and with a larger
jet ejected than the deep-water wave. The
development of plunging breakers from
initial sinusoidal waves is illustrated in
figure 1. Figures 2a and 2b show the velocity
and acceleration fields when the wave front
has become vertical. The reference velocities
given on the figures are the phase velocities
according to linear theory and the reference
acceleration is the acceleration of gravity,
g. The horizontal velocities at the wave
crest are slightly larger than the phase
velocities, as should be expected. The
acceleration along the wave crest is smaller
than g/2. At the face of the wave the
acceleration of the deep water wave has a
magnitude of about 1.59.
The velocity and acceleration fields for the
deep water wave at 0.15T later (T is the wave
period according to linear theory) are shown
in figures 3a and lb. The maximum velocity at
the wave crest is about 1.5 times the phase
velocity and the maximum acceleration is about
3g at the vertical wave front. Notice that the forward part of the fluid jet has an
acceler-ation of about g, in the vertical direction.
This means that the jet is falling freely
under the influence of gravity, as should be
expected for a thin layer of fluid with the
same constant pressure acting on both sides.
Figure 4 illustrates a close-up of the wave
crest of the deep-water wave at different
stages. Figure 9 shows the development of a
plunging breaker generated in a wave flume,
ref. (4). It can be observed that there is
good agreement between the wave generated in the laboratory and the nummerically simulated
wave.
Fig. 5 shows the variation with time of the
total energy of the deep water wave and of its
components. The horizontal momentum of the
fluid is also shown. It should be noted that
both the total energy and horizontal momentum
are practically constant with time.
Breaking waves
Definition:
Breaking waves are in general highly asymmetric
unsteady waves.
The description of a breaking wave, especially
in a random sea, has been rather arbitrary
and unclear. In a random sea breaking waves
will often occur when waves with different
dispersion directions interact. Kheldsen and
Mynhang (4) made recommendations for a
pre-cise definition of certain wave parameters
which can be used to give a more complete
description of the properties of asymmetric
unsteady waves for the two dimensional case;
this definition of wave parameters is given
in fig. (6). In this definition for each
wave the wave height is defined as the
vertical distance from the wave trough to
the following wave crest. With this defini-tion of wave height a parameter is obtained
that is very relevant to the analysis of
capsizing of fishing vessels and other small
vessels.
Criteria for Initation of Breaking Waves
In deep water the most common type of breaking
wave is the spilling breaker. These waves are
quite common and are often observed even when
the wave heights are reltively small, 1-2m.
In some cases they break for a relatively
long time, while others suddenly stop a
fraction of a second after breaking.
In reference (4) the initation of breaking
waves was defined as the physical state
where the very first air entrainment is
visible on the water surface. This
defi-nition is in good agreement with
observa-tions from aireal photographs of breaking
waves.
It is of interest to note Longuet-Higgins'
theoretical breaking criteria for gravity
water waves, namely, that the downward
accel-eration in the wave crest exceeds1/2g.
At least four types of breakers are known to
exist in deep water and these are illustrated
in fig. (9). A Spilling Breaker
The spilling breaker is the most common breaker form both in deep water and on the
beaches. It is characterised as a nearly
symmetric steep wave that breaks at the crest where air is entrained. This entrapped
air forms an air-current jet that runs down
the forward face of the wave. Fig. (9), shows
a typical spilling breaker in deep water.
A Plunging breaker
The plunging breaker is a very steep
asym-metric wave that is well known on beaches
and from time to time also occurs in deep
water. It is characterised by the phenomenon
that the steepening of the wave suddenly
leads to the shooting of a very thin sheet
of water from the wave crest, and this water
forms under the influence of gravity the
well known overhanging crests until the
water plunges down as a jet on the front of
the wave near the mean water level. Air
entrainment can occur at an early stage when
the jet is found, or at a later stage when
A typical plunging breaker is shown in fig (9).
The Capsizing of MiS Helland-Hansen
Dahle, ref (5) investigated the capsize of
the MS Helland-Hansen using model
experi-ments in breaking waves. The capsizing of
the vessel took place in deep water in the
ballast condition and was caused by a
breaking wave which hit the vessel
broad-side.
The accident took place when the wind force
was about Beaufort Force 8 and the wind
direction corresponded tot the wave direction.
A current of varying strength was running in
the opposite direction. The significant wave
height was about 3.5m. The survivors recalled
that while underway at 6 knots the skipper
observed the breaking wave with a height of
about 5m approaching the vessel from the port
side. The vessel was then hit by the wave and the slamming impact was felt but not heard by
the survivors. Within seconds the vessel listed
to about 60' and soon afterwards listed at a
stable position of about 80' until it sank 20
minutes later.
Righting moment and righting arm curves of the
MS Helland-Hansen used in the investigation
are illustrated in figure 10.
As part of Dahle's investigation into the
cap-sizing of the Holland-Hansen he examined the
equation for a vessel being hit by a breaking
wave given by Kholodolin and Tovstikh (6). viz.
( 14 + A44 )) +
= 0
Where C = phase velocity of wave
CD = drag coefficient of superstructure
A = area of wave impact
a = moment arm = density of water Where 14 144 M1 M,7 M3 N,
= mass moment of inertia
added mass moment of inertia = moment of damping
= moment due to wave (except impact)
= moment caused by wave impact
= righting moment
0, 0, 0
= heeling angle and its derivativesIn ref. (6) the energy transfer during the
impact period t only is regarded as im-portant. M1 and M2 are therefore neglected
because they are regarded as much smaller than
M3.
Throught simple energy considerations, the
fol-lowing expression for energy transfer from the
breaking wave to the vessel during the impact
period t is derived
1.2
[.[gt3M3dt )2t3
*(I
+ A-44 )W0 = 2 ( I4+A44 )Oa = angular velocity after wave impact (the
increase of angular velocity is assumed
lineair during the interval
0
t3 = duration of wave impact. It is assumed
that initially 0 = 0 and 0 = 0
E3 can also be expressed as follows:
[,./gt3 ip
CDAc2a dt ]2
E3
2 14 + A44)
The integral of equation (3) is difficult to
evaluate because A, a and possibly CD are
functions of time and C also varies vertically.
Furthermore, 6t3 cannot be calculated. Therefore
to use equation (3) Dahle employed the results
from model experiments, using Froude scaling.
The energy content of the impact pulse can be
presented in a simple way by a triangle with
height M3 and duration i t3. Equation (3) then gives:
i.
[M3 At3)
2
El =
g IT
4A44)
At2 = duration of exposure
E2 can also be expressed as follows:
[igt2m2 dt ] 2
p0
E2 = A ja Gzd, =
2( 14 + A44)
a
= surface inclination of wave
at time of impact
The total energy transfer during the time of
exposure for a steep, breaking wave is as
follows: ET = E2 + E3
= E1 + E4
Where E, = energy from steep wave
E3 = energy from wave impact
El = energy dissipated by damping
E4 = engergy content of heeled vessel
By assuming that E3 is independent of
stabili-ty, and using the data obtained from the
experi-ments, the relative importance of E, and E3
can be indicated.
Due to the dominating influence of C in equation
(3) E3 for the waves below 6.5m are only a
fraction of E3 for the 6.5m wave. Moreover, as
14 is linearly dependent on the displacement,
E3 must be relatively smaller for the loaded
condition. An indication of the energy from the
wave impact, E3 is given in table 1.
Because 14, A44 and the integral
should be almost independent of the stability
for the same loading condition, ET should be of the same order of magnitude, regardless of
the stability of the vessel. This is not the
case, as ET is strongly dependent on the
stability.
The explanation is that a steep breaking wave
also exposes the vessel to a turning moment of
a quasi-static nature, i.e. that the moment M,
in equation (1) and consequently E2 of
equa-tion (4) is of importance. Although smaller
than M3' M2 acts over a longer period of
time. This is evident from fig. 11 which
illu-strates the capsizing.
For the breaking waves below 6.5m the impact
energy (E3) was negligible and the energy
transfer can be regarded as having been
caused by the steep wave action only.
Thus the energy content of the wave impact
alone was not large enough to capsize the
Helland-Hansen in the ballast condition in
the 5m breaking wave.
This results can only be approximinate
because the energy transfer is undetermined
when the vessel capsizes and experiences a
considerable damping for the large heeling
Wave Height
Phase Velocity
Ballast
Table 1
Energy from Wave Impact (E3)
It can be concluded that the high energy
con-tent in breaking waves is due to their large
particle velocities as well as their steepness.
The relative importance of the two components
E2 and E3 is summarised in table 2 where the
difference between the energy content for two
stability condtions are given.
Capsizing of Small Trawlers
In ref (7) results were presented of an
investigation into the behaviour in rough water and breaking waves of two inshore
fishing vessels having almost identical
principal dimensions and displacement, but with different statical stability.
GZ300
E2
E3
(m)
(tm)
(tm)
ET=E2t4E3
(tm)
Two models were used in the experiments and
their principal particulars are given in table 3. Models A and B had hulls
represen-tative of vessels built in the late 1960's
and early 1970's which are still in service
today. Model A represents an inshore trawler
built of steel with a transom stern whereas
model B represents an inshore trawler built
of steel with a cruiser-type of round stern.
Both models were used as free-running radio
controlled models; the scale of each model
was 1:15.
Loaded
E3
(tm)
Table 2
Energy components from steep wave (E2) and wave input
(E3)
for 5m breaking wave.
ET=E2+E3
(tm)
110.10
60
6 6681
2 830.20
83 689
113
2115
0.26
92 6108
0.30
145
2147
(m)
(m/s)
6.5
12.0
50
30
5.0
8.4
6 23.5
8.3
4 13.0
8.1
3 1Ballast Condition
Loaded Condition
Table 3 Principal particulars of two British
trawlers corresponding to models A and B used in the experiments
Fig. 12 gives the stability curve for design
A and a comparison between calculated and
measured GZ values. A close comparison cannot
be expected at angles beyond which the deck
edge becomes immersed and for design A this occurs at about 16°. Fig. 13 gives the
stabi-lity curve for design B. The minimum stabistabi-lity
required by the current IMCO criteria is also
indicated in Figs. 12 and 13.
Model tests were carried out in breaking
waves; these were generated from waves which
corresponded to full-scale significant
heights of 3.2m with their wave length
shortened. The maximum wave height produced
by the resulting breaking waves in any given
example corresponded to 4.9m full-scale.
These waves were most realistic. A photograph of model A under test in breaking waves is
shown in Fig. 14.
Once circuling manoeuvers were attempted
model A was immediately at risk. Model A
capsized on a number of occasions, usually
when it was caught in a beam to sea position.
There were two distinct types of capsize: the
classic one in wich the hull, when balanced on
the crest of a wave, and without water on deck,
immediately lost waterplane interia and hence
stability, and the second one, where a wave
overwhelmed the bulwarks and produced a rolling
moment greater than the restoring moment
natu-rally present in the hull.
It is significant to note that the elapsed
time for each capsize was 10 to 20 seconds only
(full-scale) or about the time of two to three
roll cycles and this was occasionally shorter
when the model was kept stationary in beam seas.
Fig. 15a shows a record of the roll motion
and capsize of model A without water on deck
whereas Fig. 15b records the capsize of
model A after being overwhelmed by a breaking
wave.
All the above records were for the model
cap-sizing to leeward, when the roll angle exceeded
40°.
In contrast, model B survives circular
manoeuv-res in the breaking waves with comparative ease.
The motions were however, severe and considerable
quantities of water were shipped. On several
occasions the model survived a test period
equi-valent to about 1 hour full-size. Every attempt
Model A
Length (LOA) metres 25.91 24.36
Length (L) metres
PP 22.09 21.44
Breadth mid metres 6.86 6.71
Depth mid metres 3.35 3.35
Draught amidships metres 2.48 2.49
Draught forward metres 1.83 1.79
Draught aft metres 3.13 3.19
Trim by stern metres
(relative to datum line) 0.69 0.33
Rake of keel metres 0.61 1.07
Sheer forward metres 0.99 1.57
Sheer aft metres 0.46 0.54
Freeboard at bow metres 2.15 2.76
Displacement tonnes 167.6 160.0
Transverse GM metres 0.732 0.908
Vertical centre of gravity
VCG metres 3.153 2.58
Free surface correction
was made to bring about a capsize, but the extra
roll stiffness inherent in the hull due to the
large GM clearly contributed to its survival.
These model experiments indicated that model A,
with a metacentric height, CM, corresponding to
0.732m full-size capsized in breaking waves of
modest severity, of a height and length which
the vessel could conceivably encounter in
service. The sequence of events during capsize
occurred very rapidly. The reason for capsize
suggested by the results of the model
experi-ments is: lack of sufficient roll stiffness.
Subsequent experiments in which either
dis-placement or GM was increased suggested that
the fault lay not so much in the hull shape
but rather in the CG position which led to a
simple deficiency in GM.
Both models experienced capsize when their
stability at rest was close to the IMCO
mi-nimum. The survival condition for model B
was obtained with the maximum righting
lever, GZ, fractionally above the IMCO value
but greater overall stability was present
due to a higher angle of vanishing stability.
Conclusions
Investigations into the effects of breaking
waves on small vessels (6,7) indicates that the stability requirements of the
Torremo-linos Conference in 1977 do not always ensure
adequate safety in beam seas, especially in
the ballast conditions in particularly steep
breaking waves of moderate height.
Large heeling angles in breaking waves have
been reported by vessels that have survived.
The investigation indicates that a limiting
heeling angle of only 400, which has been
adopted by stability regulations for larger
vessels, is far too small.
To improve the safety of smaller vessels the requirements of the GZ curve could be
strengthened ,y requiring positive GZ values
up to much larger heeling angles.
Moreover, openings where water can enter
the vessel during heeling to large angles
must alse be closed watertight.
Bulwarks are dangerous in breaking waves
as they increase the wave moment and trap
water on the deck.
The behaviour of small vessels in steep,
breaking waves has only been studied to a
limited extent. The problem is complex due
to the non-linear behaviour of the wave and
the vessels due to uncertainties of scaling.
The investigations have shown that substential
improvement in initial stability has only a
slight influence on the heeling angle.
Any improvements in initial stability might
be of limited value if positive righting
moments are not extended to large angles and
watertight integrity maintained at these
angles.
REFERENCES
Longuet-Higgins M S and Cokelet E D:
"The Deformation of Steep Surface Waves
on water: A Numerical Method of Computation".
Proc. R. Soc. London, A350, 1-26 1976.
Cokelet E D: "Breaking Waves - The Plunging
Jet and Interior Flow-Field". Proc. of the
Symposium on Mechanics of Wave-Introduced
Forces on Cylinders, University of Bristol,
1978.
Vinje T and Brevig P "Numerical Simulation
of Breaking Waves". 3rd Int. Conf. on FEM
in Water Resources, Univ. of Miss., 1980.
Kjeldsen S P and Myrhaag D: "Kinematics and
Dynamics of Breaking Waves". Norwegian VHL
Report No. STF 60A 78100.
Dahle E A and Kjaerland 0: "The Capsizing
of M/S Helland-Hansen", Trans. RINA vol.
122. 1980.
Kholodilin A N and Tovstikh E V. "The Model
Experiments for the Stability of Small Ships
on Erupting Waves" ITTC 1969.
Morrall A: "Capsizing of Small Trawlers".
t=0.31T
Deep-water wave.
Fig 1.
Development of plunging breakers from
initial sinusoidal waves (1)
t=0.51T
=0.611
t=066T
t=0 697
.4
.6
.8
1 .0 kx 1 .2
1.4
Deep-water wave (t = 0.49T)
Deep-water wave (t = 0.49T).
Figs
iind ?h.Velocity ;Ind Jcceleration fields
under plunging breakers when the
wave Ironts 11;ive become
vertical.
k
is the wave number and
.6
kj
.4
.2
0 . 0
1.4
1.6
1.8
2.0 kx2.2
2.4
t=
17
1.4
1.6
1.8
20k><22
2.4
t = 0.64T
Figs 3a and 3b.
Velocity and acceleration fields
under deep water wave 0.15T after
.4
ky
.2
0 .0
-.2
Fig 4.
Closeup of the wave crests
of the
deepwater wave (1).
1.5
Total
energy
Horizontal momentum
Kinetic energy
Potential energy
0.25T
0..5T
Time
Fig 5.
Variation of the energy and horizontal
momentum (1).
2.0-1.0
1.0
ASYMMETRIC WAVE OF FINITE
HEIGHT
SL
w .
Ah
/IA
w
T
T
C=
1'6
=1',
X =
L"
=
L'
BOTTOM
Fig 6.
Definition of wave parameters (4).
= 0
MEL
21t
,MWI.
A. SPILLING BREAKER
PLUNGING BREAKER
C. PYRAMIDAL BREAKER
INTERACTIONS OF WAVES WITH DIFFERENT
DISPERSION DIRECTIONS D. REAR BREAKER
4---mWL mwL lAWL MW1 MWLFig 7.
Classification of breaking waves in
Fig 8.
Spilling breaker in deep water generated
by wave-wave interactions (4)
Fig 9.
Plunging breaker in deep water created
by wave-wave interactions
(4)CZ (w)
GZ
(in) 10Ballast condition
20Loaded condition
3n 40C-Z30° - 0.40
0° = 0.26
50300 - 0.20
7080
90
CZ300 -
0.10
70 80Fig 10.
Righting Moment and GZ curves for the
test
conditions of M.S. HELLAND- HANSEN
(5)GZA (trr)
90GZA (tit)
150
100 50- 250
50 10 20 30 40(metre)
Fig 11.
Capsizing
equipment
of M.S. HELLAND- HANSEN
(Ballast condition GZ30 o = 0.20m; H = 5m) (5).
,.-0 75stc 0 7S sec t .1 SO sec23
CO 2,S) 2p 1750.7 FOP WAVE CURVE, TPOCHOIDAL WAVE
(H 4,, L
70T) HAS BEEN ASSUMED
WITH CREST AMID SHIPS
0 0 4.--0 3 2 0 0 7
06
,t 0 s 0 4I
0 3 7 0vol WvE CuvI.
/ 00C NO. Ds 3744, (34-,L .704 )
1145 SEEN SSus.t0 6. s, 20 30 40 SO 444011 or NEEL (DEG) 1 60 60Fig 13.
Stability Curves for Design B (7).
10 20 30 40 50 60
ANGLE OF HEEL (DEG)
Fig 14.
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Sequence of capsize for Model A
without water on deck (7).
Fig 15h.
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being overwhelmed by breaking wave (7).
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HOVERCRAFT - TOWARDS THE SECOND
QUARTER CENTURY
by
G.H. Elsley, D.J. Hardy and M. Stevens
kivi
HOVERCRAFT - TOWARDS THE SECOND
QUARTER CENTURY
by
G. H. ELSLEY and D. J. HARDY
Synopsis
The paper begins with a survey of the currert scene with particular reference to B.H.C. built Hovercraft. It continues with an
inves-tigation of the power requirements of amphi-bious hovercraft and the diesel vs. gas tur-bine question.
Subsequent sections cover "future-design" and "construction". The paper concludes with some thoughts as to how hovercraft may be used and some illustrations of possible future craft.
Large Extruded I-beam
Integrally Stiffened Deck Panel
Comparison of Small and Large Deck Panels
Comparison of Fabricated and Extruded Roof
Beams "Jeff" Craft U.S.S.R. "Aist"
SR.N4 Adapted to M.C.M. Role
Outline of 750 ton ASW/Patrol Hovercraft
Bell-Halter Patrol S.E.S.
Bell-Halter Passenger Ferry
Outline of 500 ton Passenger Ferry
reS Contents
1. Cushion Pressures Cushion Length 1. Introduction
2. Typical Main Skirt Sections at Various 2. The current scene
Stages of Development 3. Power reduction on amphibious hovercraft
3. Comparison of C.G. Vertical Accelerations of Ships, Hydrofoils and Hovercraft
4. The engine and structure - a simple minded
theoretical approach
4. Seakeeping in Relation to Displacement 5. Future design
Ships and other High Speed Craft 6. Construction
5. SR.N4, BH.7 and SR.N6 Into-Wind Water Speed 7. Concluding remarks
HOVERCRAFT, TOWARDS THE SECOND QUARTER CENTURY
1. Introduction
The title of the paper was selected in order
to achieve two main objectives. It makes the
point that hovercraft have been around for about twenty-five years and are about to
enter their second quarter of a century and,
perhaps more significantly, it gives the
joint authors a considerable degree of
freedom in the choice of subject material.
The making of technical predictions is a
notoriously dangerous, but nevertheless, an
interesting and necessary activity. This
paper has been restricted to marine hovercraft
above 10 tens A.U.W., light hovercraft,
barges and overland devices being excluded.
It is perhaps of interest that one of the
first studies carried out by the then
Saunders-Roe Division of Westland Helicopters
Ltd. in 1958/59 covered a range of craft up
to 10,000 tons A.U.W. - it is humbling to
realise that in practice it took 20 years
before a craft of even 300 tons A.U.W. was
fully operational.
It should be noted that since this paper was
prepared in 1981, the AP.1-88, an 80/100 seat diesel powered passenger ferry, has
successfully entered service on two routes, one in the United Kingdom and one between
Sweden and Denmark.
The opinions expressed in this paper are
those of the authors and do not necessarily
reflect those of the British Hovercraft
Corporation.
2. The current scene
From the time when the SR.N1 first flew in
July 1959 as an unskirted "flying saucer"
propelled by air jets, two distinct types of
craft have evolved, the skirted hovercraft
which minimises its lift power by means of a
flexible stucture which "contours" the waves
Odell in theory anyway), and the sidewall
hovercraft which has rigid side walls which
cleave the waves, together with a skirt (or
seals as our American cousins call them)
at the bow and the stern. With one notable
exception, all skirted hovercraft have been
treated as amphibious vehicles and have been
propelled by air propulsors while sidewall
craft are, by their very nature, marine craft
and have been propelled by marine propellers
or water jets.
Historically amphibious craft have generally
come out of an aircraft stable while all
non-amphibious craft have had a boat-building
lineage, with the possible exception of the
SES 100 A and B which were however strongly
influenced by the USN requirements.
The "highlights" of the technical achievement
of these "first generation" craft from which we must advance are shown in Table 1.
One of the interesting features of the table is the relatively high cushion pressure and
power/weight ratio of JEFF
B. This is
lar-gely due to the design constraints imposed
by the need to dock the craft in landing
ships. Figure 1, which plots cushion
pres-sure Pc against cushion length L,
illu-strates how JEFF B virtually fits the side-wall line and appears to be quite divorced
from other large amphibious hovercraft.
Using Froude Scaling, and for a given
geo-metry, one would expect Pc to scale as L
(i.e. as weight to the one third, W1/3).
Figure 1 shows that there is no such
cor-relation and in fact the cushion pressure of
the larger amphibious craft (excluding the
LCAC, a JEFF B derivative) is substantially
constant. This arises from the fact that the
craft were all designed to carry car and
passenger payloads over comparatively short
ranges with, except for the N.500,
accommo-dation all on one deck. In this context, it
is interesting to note that the initial
API-88 tank tests were conducted on an AR.N4
Mk3 model loaded to a scale 600 tons which
arose from tests at scaled weights inter-mediate between 300 and 600 tons aimed at
high enduance variants. Similary high
endurance variants of BH.7 will have higher
cushion pressures.
It is likely that future large civil amphi-bious hovercraft will be double decked over
at least part of their plan area and will
have greater ranges. Thus we can expect that
a 200 ft. cushion length civil craft will
have a cushion pressure in the range 100 to
150 lb/ft2. As will be seen from the points
added to the right hand side of the figure, this implies craft A.U.W.'s of 600 to 900
tons. Military variants are likely to have
even higher cushion pressures.
Sidewall craft can be expected to have
significantly higher cushion pressures at
the larger sizes if current trends continue.
This arises from the philosophy of using
welded marine type structures and diesel
engines coupled to marine propulsion. Thus,
althought the cushion pressures are high,
the resulting disposable load/A.U.W. frac-tions are likely to be less as shown in
Table 1.
Some details of current, i.e. in-servicing,
B.H.C. craft are given in Table 2 which
shows data obtained from the "Worst Intended
Enviromental Conditions" specified in the
craft "Type Operating Manuals" in the form
of wind strengths and wave heights associated
with critical length seas.
It should be noted that these limitations
are applicable to normal fare paying
pas-sengers operation, military hovercraft can,
and have operated safely, well outside them.
For example, the 10-tons SR.N6 stationed in
the Falkland Island in 1967 was operated in
waves of 3.7 metres and swell of 4.5 to 5.5
metres.
During these and other operations, the SR.N6
has also demonstrated a good surf-crossing
capability, having no difficulty in beaching
through a 1 to 2 metres surf.
Similary, the production clearance trials of
the SR.N6 Mk5 military craft included
sorties in gale force conditions in the Solent, including wind speeds of 32-38 knots
gusting to 45 knots with observed wave
heights of up to 3 metres.
Apart from the natural tendency for seakeeping
ability to improve with size (increase of
both skirt depth relative to wave height and cushion length relative to wave length being
advantageous), the skirt characteristics
themselves have a considerable effect. This
has been illustrated by the development of a
more responsive, low pressure ratio, skirt
for SR.N4 Mk3, which has operated very
satisfactorily in 5-7 metres significant
height seas and 40-50 kt. winds during rough
weather trials. Adequate control was
demon-strated even with simulated failures on 1 or
2 engines or pylon, fin and propeller pitch
The combination of improved (deeper bow)
skirt and increased craft length has
resul-ted in reduced pitch motion and notably
better ride comfort. This improved behaviour
is associated with the graded stiffness of a
bag/finger system which provides rapid skirt
response but low craft response in small
waves whilst affording protection from
structural impacts in larger seas. Such
protection is not provided in the simplest
loop/segment skirts. B.H.C. skirt development
over the years is shown in Figure 2.
TABLE 1
TABLE 2
B.H.C. SERIES TABLE ROUGH WEATHER OPERATING LIMITATIONS
As indication of the vertical acceleration
levels (r.m.s. g) measured at the C.G. on
SR.N4 Mk3 is given in Figure 3. At a given
wave height, these measurements range from
about 0.05 to 0.15 r.m.s. g, depending on
wave length/form and craft speed. Also shown
on the diagram are corresponding measures
for similar size hydrofoil craft and D.P.B.'s.
o Clearance to 4.0 metrea in anticipated These are all for paying passenger operation, military limitations can be such higher
31
PARAMETER VALUE CRAFT
a) An.phibious Craft
Max AUW tns 300 Super 4
Max disposable load/
A.U.E. fraction 44% Jeff B, 'Gus' Max speed kts 75 Super 4, Jeff B Max Eig wave height ft 21.5 Super 4 (as civil
craft) Max gradient capability 2.7.5 SR 55 Max cushion pressure psf 220 Jeff B Max pouer/wt ratio shp/tn 150 Jell B Min power/al ratio shp/tn
b) Sidewall Craft
50 Super 4
Max AUW tns 115 Bell Bolter 110 Max disposable load/
A.U.W. fraction 25% 51218 Max speed Its 92 SES 110B
'Jan cushion
pressure psi 105 SES 100B Max power/wt ratio shp/tn 140 SES 100B Min power/wt ratio shp/tn 32 BELL HALTER 5E110
MAXIMUM WEIGHT
tons
WIND (kts) SIGNIFICANT WAVE HEIGHT MEAN GUST METRES % MEAN SKIRT DEPTH
SR.N5 6.7 30 40 1.2 100
SR.N6 (Sing, Prop Craft) 9-14 30 40 1.5 123
SR.N6 (Twin Prop Craft) 17 30 40 1.8 128
BH.7 50-55 40 - 2.0 131
SR.N4 14k.2 200 35 45 2.4 87
It will be noted that the fully submerged incidence-controlled hydrofoil system craft
are expected to give the lowest acceleration
in slight to mederate seas. The hovercraft
of SR.N4 size gives higher accelerations in
the smaller seas, but is better in the largest
seas in which the hydrofoil craft may reach
a limitation associated with water-jet intake
venting, hull cresting or foil broaching (in
relatively short seas) beyond which it has
to operate in a boating mode. The hydrofoil
craft can then become difficult to drive
in-to larger seas and rolling motion can become
large with a consequent drastic worsening of
crew comfort.
Typical waterspeed performances for
displace-ment ships, F.P.B.'s and hydrofoils (with
fully submerged incidence-controlled foils)
are compared in figure 4 with the achievable performance of the SR.N4 Mk2 and Mk3
hover-craft.
Typical Eastern English Channel wave height
occurrence data is indicated and it will be
seen that the hovercraft are almost twice as
fast as the ships in average conditions. A
progressive improvement in rough weather
capability has been achieved by the SR.N4
series craft, the operating limit being 2.4 m for Mk2 and 3.5 m for Mk3 (Super-4) with a
planned increase to 4.0 m. The associated
occurrence of worse conditions (causing
operational cancellation) is reduced from 6%
to 3% as shown in figure 4.
Figure 5 illustrates the expected waterspeed
performance on the most adverse into-wind
and sea heading, for the range of B.H.C.
craft. Performance in beam wind conditions
is significantly better than into wind and
for this reason, in commercial service, operation into wind and sea in the rougher
conditions is usally avoided. In the range
of wave heights considered it will be noted
that the craft speed does not fall very far
below hump speed.
Hence larger craft, with correspondingly
higher hump speeds, will be able to maintain relatively high speeds, 30 knots or so, in
adequate conditions. This is considerably
better than all but the largest ship.
3. Power reduction on amphibious hovercraft
Previous papers have presented figures much
like that shown in figure 6. This shows a
progressive reduction of installed poser per
ton of all up weight with time for Cowes
built amphibious hovercraft. Wrapped up in
this plot are some design improvements but
also some considerable variation in weight
and performance and in fact, the curve is
essentially a series of discrete points.
Clearly to make the hovercraft more competitive
with other forms of transport it is desirable
to reduce the installed power on any given
design to allow a level as possible consistent
with attempting to retain some performance edge. This then reduces both the acquisition
costs and the running costs.
Lift power
The SR.N4 Mk3 operates with a cushion flow
coefficient CQ af about 0.0075 where CQ
is defined as.
c
-Q. 11
IC) Pc
Where Q volume flow per second
= air density
Pc - cushion pressure
S = cushion area
This represents a considerable reduction on
earlier amphibious hovercraft and it is
unlikely to be reduced below about 0.006 in
the near future. Coupling
CQ with an atmosphere to bag
ef-ficiency of 0.65 and a bag to cushion
pres-sure ratio of 1 : 1 leads to lift horse power/
ton values of about 1.2p½ or from 9.6 to 12.0 for cushion pressures of from 64 to 100
Simple sums can show the likely magnitude of
momentum and profile drag terms and with
some effort it is possible to derive
wave-making drag - or at least establish it from
published curves. The major unknown drag
terms are those which we at B.H.C. have attributed to wetting and the natural waves.
Clearly there may be some possibility of
reducing all of these, expect the
wave-making, with some design effort.
If we consider the SR.N4 Mk3 at its design
all up weight the installed power is such
that it can readily negotiate the humps
and achieve over 70 knots in calm conditions
and still maintain speeds of 40-50 knots in
quite adverse conditions. However, its static gradient capability is only about 1
in 16 or 0.06 although higher gradients can
be negotiated if taken at speed. Hence it
appears that irrespective of any drag
reduction which can be made, the installed
propulsive power will be designed around
the requirements for the craft to come
ashore. Thus taking 0.06 as a limit and
assuming propulsors delivering say 6 lbs of
thrust per horsepower, 22.4 horsepower per
ton will be required of the static gradient
requirement. With some allowance for
trans-mission efficiency and control, it is then clear that an installed value of propulsion
horsepower per ton of at least 25 is likely
to be required for all future amphibious
hovercraft.
Total installed power
Summing the simple lift and propulsive power
terms suggests that, depending on cushion
power, the installed power per ton will
always have to be at least 35 and for
"denser" craft perhaps 40. Drag reduction,
particularly through skirt development could
then lead to the interesting anomaly that
more power is required for the landing phase
than for cruise.
IG HP ,
wD = K- 2240 "
WG HP (W-4-fDt
K- k(1- K)
lc 2240
which can also be interpreted as the payload
ratio for craft of equal weight or the power
ratio.
Examination of the equation shows that
neg-lecting any possible structure weight increase
i.e. K = 0, the top will always be greater
than the bottom if W + fdt > f t
Since current values for fp are about 0.36,
fc about 0.5 and w at least 4, it can be
seen that some 28 hours are required for the
diesel to break even.
Assuming K = 0.45, a good value
we then have, assuming = 45 and t = 5
WD
= 1.20 i.e. the diesel powered craft
is about 20% heavier.
WD
Again if k = 0.05w(7.; = 1.31 i.e. the diesel
powered, marine structure craft is about 30%
heavier, and if k = 0.1 ve41 = 1.44.
In this latter case the diesel/marine type
structure craft actually burns more fuel than the gas turbine/aircraft type structure craft.
Clearly as HP/ton values improve towards our
"theoretical" limit of 35, the discrepancy
will lessen as it will if disposable load/all
up weight ratios improve. Conversely,
improve-ments in gas turbine specific fuel consumption
will work the other way.
33
Propulsive power writing
WGD
4. The engine and structure problem - a simple
minded theoretical approach
Much has been written about the relative
merits of the gas turbine engine and the
aircraft type structure vs. the diesel
engine and the marine type structure and as
you are all aware, B.H.C. having long been
wedded tot the first approach have now
designed a craft, currently under
construc-tion, using the second approach. Until the
accountants were consulted there was, and
still is for that matter, some justification
for the first approach.
Assume that the payload of a gas turbine
powered craft can be written
1G HP ViGt
2240
and for the diesel powered craft with a
heavier structure
fD HP
-WDP = WDD
2240 WD
Where W = weight in tons
t = time in hours
f = specific fuel consumption
w = weight penalty in lab/HP of diesel
relative to the gas turbine
k = increase in structure weight as
a decimal suffices
G = Gas turbine D Diesel etc.
GP = Gas turbine payload
GD = Gas turbine disposable load WGP = WGD
J-12 WD k (WD-WDD
2240 ViD
Fortunately for the competitiveness of the amphibious hovercraft, this is not the whole
story. Diesel engines at least, in the lower
horsepower ranges, tend to be very much
cheaper than gas turbines both to buy and to
maintain. Similarly, marine type structures
tend to be more robust and more durable as
well as cheaper. Thus, at least for smaller
hovercraft, perhaps up to 100 tons, it may
be possible to justify the APL-88 approach on economic grounds which is really what
makes a transport vehicle a succes.
5. Future design
5.1 Design phisolophy
In order to make future civil or military
craft viable in an ever more competitive
world, it is clear that we must
significant-ly reduce both first cost and operating
costs, the latter particularly with respect
fo fuel consumption.
The options open to the designer in respect
of reducing first cost are:
to greatly simplify the construction to use low cost engines, transmission and
propulsers/fans
to use marine rather than aircraft type
equipment
to increase the density of the craft (i.e.
to use a higher cushion pressure) in order
to reduce the structural size
Similarly, to reduce the direct operating costs
(D.O.C.) we must lower:
fuel consumption per payload ton mile
maintenance costs
crew costs
At present, fuel costs is the dominant
factor with respect to civil craft having a
high utilization, for military craft the
dominant factors are probably depreciation
and crew costs; lower fuel consumption is
important to enhance operational capability
(payload/range). As discussed above, the
specific installed power has been falling
steadily with time for amphibious craft and
will, in the authors view, continue to do so
at least if considered as cruise power.
However, gains in the payload/A.U.W. ratio
or speed in a given sea state for
given-power are also effective in reducing the
fuel consumption per payload ton mile and
these form part of striking the right design
balance.
Reduced specific power is being achieved by
slowly but surely improving the efficiencies
of toe various component parts of the craft.
i.e. propulsive system, lift system and
aerodynamic drag, but by far the biggest
incentive is to reduce the rough water drag
of the craft by skirt and/or sidewall
development and by reducing craft motion
(response).
The design philosophy is also likely to be
affected by size and role. We have already
shown that higher cushion pressures are desirable on larger craft, this will enable
the designer to use two or even three decks,
developing the theme started by the Sedam
N500, and thus make the craft structurally
more efficient, at least with respect to
those carrying low density cargoes such as
passengers and cars.
Operational requirements will, of course, in
many cases dictate the form of the craft and
reduce the choices before the designer.
Assault landing craft will inevitably be
amphibious and may, as with the L.C.A.C.,
have artificial size constraints placed upon
it by other equipment (e.g. the associated
ship). M.C.M. craft are also likely to be
amphibious as their low vulnerability
springs from this feature. On the other
hand, it is possible that a lower speed
sidewall ferry would be more economical for
certain civil roles providing other restraints
such as depth of water en route and at the
terminals permit. As size increases then
this will also affect the way the craft is
constructed and its machinery arrangements
Modular construction may become even more
necessary and the use of high grade materials
demanded, at least for the main load carrying
members, if good payload/weight factors are
to be achieved. The development of flexible
structures to match the growth in size will
demand a sustained effort.
Perhaps the best overall piece of design
philosophy to apply to all future designs
is the old aircraft designers adage:
"Simplicate and add more lightness".
6. Construction
The key action in reducing structural cost
is to reduce the number of components,
es-pecially fastenings. The obvious choices open
to the designer are:
to mould the structure in composites
(g.r.p.) using as few components as
possible
to weld the structure from light alloy sheet and extrusions
At third approach may well be attractive
where high performance craft are demanded
and this is:
(c) pre-fabricate the largest possible
sub-assemblies (modules), probably by
bon-ding, using high grade materials
Both (a) and (b) have been tried and give
cheap but relatively heavy structures. In
addition, the cost of the mould for large
g.r.p. structures can be quite considerable,
making a small production run expensive.
In the rest of this section we would like to
give you some idea of the advantages and
dis-advantages of the type (b) approach and an
indication why the third (type c) approach,
at least in port, may well be used for future
craft.
6.1 Extruded vs. fabricated components
Extrusions have been used in hovercraft from
their inception but they have tended to be
small in cross section and made of high
grade hard to extrude alloys. One of the
more advantageous developments in recent
years is the availability of really large
comparatively thin extrusions in moderate
strenght alloys. Two such extrusions are
shown in figures 7 and 8. The first is a large I-beam 500 mm (19.7"), deep extruded
in an RE30 type alloy which may be suitable
for a floor beam or for a deckhead beam on
very large craft. The second is a stiffened
deck plank 450 mm (17.7) wide having a
minimum thickness of 2.5 mm (0.1"). This is
similar to the deck used on the Sedan N500,
the planks being joined by automatic seam
welding along the mating edges. Prior art
can be detected in the construction of the
hulls of various U.S. hydrofoil craft,
par-ticularly the AG(EH)-1 delivered to the U.S. Navy in 1969 (ref. 1). Note the integral
weld backing gulley in the extrusion shown.
Why are these extrusions so important?
Figure 10 shows a hypothetical comparision
between a 16" deep fabricated roof beam as
used on the SR.N4 compared with a similar
depth and strength extrusion. It will be seen
that the extruded version is only about one
fifth as expensive per unit length but twice
the weight.
With respect to the construction of the deck,
the extrusion shown in figure 8 weights 2.4 lb/ft2 and is almost as light as one can
get for this width of extrusion. Its cost is
less than £3 per sq. ft.
The equivalent sandwich panel design, made in
8 ft x 4 ft. modules, would weigh only 1.2 to
1.8 lb per ft2 depending on the degree of re-finement involved but would cost at least
£10-£15 per ft2, again a factor of up to five in
cost.
It should be noted that the extrusions can
be obtained in long lengths, up to 72 ft.
(22m) if transport permits (B.R. Engineering
take such lengths into the Derby works by
rail). This means that advantage can be
taken of the fully heat treated condition
when loaded axially as the heat affected zone due to the machine welding of the
longitudinal joints is comparatively small.
Transverse joints are, of course, another
matter, these will weaken the structure
un-less suitably reinforced. A very similar but
lighter extrusion can be used to form
bulk-heads.
The third approach, the production of large
bonded subassemblies is an extension of the
B.H.C. current techniques and is well worth
considering where performance is at a premium
as it can save considerable weight over some of the more lightly loaded areas such as the
roof, passenger decks or plenum decks. The
SR.N4 and the BH.7 is an 8' x 4' panel,
al-though we also produced 4' x 16' panels
stiffened with top hat stringers. With the
advent of large autoclaves the size capacity
has already been more than doubled and
panels as large as 8' x 32' may be considered
for the future. Such panels cut down the
number of fasteners required quite
signifi-cantly. For instance an 8' x 32' panel will
require only 50% of the fasteners of 8, 8' and 4' panels even when bolted to an 8' x 4'
grid (fig. 9).
One advantage of the sandwich panel
construc-tion is that it gives a smooth surface on
both sides and by increasing the depth of
panel, allows frame spacing to be increased,
thus on military craft, a deep buoyancy tank
can be used to house equipment and
operatio-nal rooms, making very efficient use of the
structure. On smaller craft, the buoyancy
tank can be used for the carriage of fuel
although this only occupies a comparatively
small area.
To sum up, the construction of future craft
will be undoubtedly be influenced very
strongly by the need to reduce the first
cost of the craft. In this respect, we see a
far greater use of welded construction but
this will be combined to a certain extent, with the use of very large fully heat
treated extrusions and possibly large composite components. Many military craft
will be dense highly powered craft featuring
fully welded construction. On the other
hand, larger turbine powered civil craft,
may make rather greater use of high grade
structure in order to maximise the load
carrying potential for a given power usage
thus minimising fuel consumption.
7. Concluding remarks
After 25 years of development we have seen
that the Hovercraft, both amphibious and
sidewall, have reached the stage of providing
a reliable and safe means of transportation.
In the military field their use in the West
has been confined to small and medium size
but with the forthcoming production of the
L.C.A.C. for the U.S. Navy this is likely to
change. Progress throughout the period, as
with all human endeavours, has been uneven
with some ideas introduced before their time
and others perhaps not soon enough. As the
authors see it, the next period will be one
of consolidation with new, more economic and
versatile craft taking over from the earlier
types, and for this reason we predict that
there will be an upward trend to hovercraft
production in the next decade in military,
pars-military (e.g. "coastguard") and civil
roles.
The amphibious hovercraft is undoubtedly by
far the best vessel for assault landing and
logistic supply work, operating as it does, over shallow water and possible minefields
from and to almost any beach. Instead of
taking several days to ship supplies to the
Continent, as demonstrated by a recent
exercise, all types of equipment could be shipped from the east coast of Britain to
the Continent in a matter of hours, in some
cases to areas well inland if the main river
accesses are employed.
It is considered that European Air Cushion
Landing Craft should be larger and longer
ranged than the American L.C.A.C. and would
operate from shore to shore, rather than
from ship to shore. These craft would be
rugged, of welded construction and highly
powered with a radius of action of at least
500 n.m. and would be significantly bigger
than either the JEFF craft Figure 11, or the
Russian Aist, Figure 12.
Equally unique in its effectiveness is the
M.C.M. hovercraft, being immune to
under-water shock when in the cushoin-borne mode
and having very low magnetic, acoustic and
pressure signatures. With the advent of high
speed search sonars, these craft will be
many times more effective than the best
current surface vessel with the added
advantage of being able to move from one
operational zone to another far more quickly.
Figure 13 shows a version of the SR.N4 Mk2
adapted to the Mine Counter Measures Role.
Large craft, of say 750 tons, could make
excellent ASW vessels capable of outrunning the fastest submarines. The craft shown in
figure 14 would have an overall length of
about 250 ft., a beam of 90 ft. resulting in
a cushion loading of about 125 lb/ft'.
Bell Halter have also looked at the longer
term feasibility of the larger sidewall
craft as a low cost replacement of current frigates. An artists impression of a 1,000
ton patrol craft is shown in Figure 15.
On the civil front, the Bell Halter type of
craft will undoubtedly make a name for
it-self in the passenger ferry and offshore supply vessel roles as well as in the
offshore patrol, search and rescue and other
para-military roles.
However, it will become progressively less
economic as speed is pushed up and will
probably be normally restricted to maximum speeds of between 40 and 50 knots. A
pos-sible passenger ferry of about 200 tons
A.U.W., capable of carrying 400 passengers
at a cruise speed of 35 knots is shown in
Fiat/re 16.
It is extremely difficult to make an
ef-ficient car/passenger ferry due to the low
specific density of the payload. For this
reason the larger and more advanced
amphi-bious ferries will almost certainly be
double or even triple decked, passengers
probably being restricted to the upper
deck if anyting like a reasonable car/
passanger ratio is to be obtained.
Figure 17 shows a hypothetical craft, based
on the Super-4 but stretched by a further 55
ft. and fitted with ducted propellers aft
and bleed air thrusters forward. This craft
would carry 144 cars and 600 passengers. The
variable height mezzanine deck in the centre
not only facilitates easy loading of cars
but also allows coaches or lorries to be
carried in place of cars if the traffic
demands.
Although it would appear that th '1,000' ton
hovercraft will almost certainly make its
debut in the period under review, the authors
have refrained from speculating on the
multi-thousand ton "Merchantman" or naval S.E.S.,
since the immense productivity of even a 1,000
ton craft will produce marketing and
operatio-nal problems which we have hardly started to
grasp. Route lengths of between 100 and 1,000
n.m. will become a reality in the civil field
while military craft will be capable of
mis-sions extending over several days.
Other advances such as the use of very thin
sidewalls, artificial stabilisation and more responsive skirts will undoubtedly develop
which together with even more efficient
marine propulsion units and power plants,
will ensure a continuous improvement in
effectiveness. Whatever these developments are, we feel sure that the next 25 years
will be a interesting and rewarding period
when the hovercraft will challenge the supremacy of the ship on an increasing
number of ferry routes and for very many
naval and military roles.
Ref. 1 - AIAA Paper no. 74-330
"The outlook for lighter structures
39
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100 150 200
CRAFT CUSHION LENGTH. L
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FULLY SUBMERGED HYDROFOILS
- SUGGESTED BAND - PJ MANTLE 7976
2
ASSUMED WIND SPEED WAVE HEIGHT (COASTAL CODE VARIATION)
SIG. WAVE HEIGHT (ml
WIND SPEED Ikt)
ACHIEVED RE AM WIN
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PERFORMANCE
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ACHIEVED INTO WIND PERFORMANCE
f'ff
SIGNIFICANT WAVE HEIGHT m
FIG. 4 SEAKEEPING IN RELATION TO DISPLACEMENT SHIPS AND OTHER HIGH
SPEED CRAFT
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FIG.3 COMPARISON OF C.G. VERTICAL ACCELERATIONS OF SHIPS. HYDROFOILS AND HOVERCRAFT
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31
FIG.6 IMPROVEMENT IN SPECIFIC HORSEPOWER
3
SIGNIFICANT WAVE HEIGHT
FIG.5 SR.N4, BH.7 AND SR.N6 INTO-WIND WATER SPEED
41
CRAFT HUMP SPEED
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WIND SPEED/WAVE idi COASTAL CODE ASSUME° RE LATIONSHIP HEIGHT VARIATION SR N6 SRA. PA.1 B11.7 4 s R 771555EIS A 0 SR N4 Mk 2 SR N4 ME 3 PREDICTED LEVEL I , I I I 1 . 1965 1970 1975 1980 /055 50 t 40 30 2050 rim
1450 rim 83 nril
F1G.7 LARGE EXTRUDED 'I' BEAMI
FIG. 8 INTEGRALLY STIFFENED DECK PANEL