PROCEEDINGS OF THE
OFFSHORE MECHANICS
AND
ARCTIC ENGINEERING
- ^ 9 9 1 ^
VOLUME I - PART B
E D I T E D B Y ^S . K. C H A K R A B A R T ]
H. M A E D A
A. N. W I L L I A M S
D. G . M O R R I S O N
M. H E N D R I C K S E N
l i T r U i K H i f i l i i lPROCEEDINGS OF THE
10TH INTERNATIONAL CONFERENCE ON
OFFSHORE MECHANICS AND
ARCTIC ENGINEERING
-
1991
-TECHNISCHE UNIVERSITEIT
Laboratoiium voor
Scheepshydromechartica
Archief
Mekelweg 2. 2628 CD Delft
TtU 015 - 786873 - Fax: 015 • 781836 PRESENTED AT T H E 10TH INTERNATIONAL C O N F E R E N C E ONOFFSHORE MECHANICS AND ARCTIC ENGINEERING
Stavanger, Norway
June 23-28, 1991
ORGANIZED BY
The Offshore Mechanics and Arctic Engineering
Division, ASME
The Norwegian Society of Chartered Engineers
SPONSORED BY
The American Society of Mechanical Engineers, USA
The Norwegian Society of Chartered Engineers, Norway
Dansk Ingeniorforening, Denmark
American Concrete Institute, USA
Energy Rubber Group, A.C.S., USA
American Society of Civil Engineers, USA
Conseil de üaison des Assoc. de Recherche sur les
Ouvrages en Mer, France
Chinese Society of Ocean Engineers, China
Deutsches Komittee fur Meeresforschung und
Meerestechnik, e.V., Germany
Institution of Mechanical Engineers, UK
Institution of Engineers of Ireland, Ireland
Korean Institute of Metals, Korea
Royal Flemish Engineers Association, Belgium
National Association of Corrosion Engineers, USA
Office of Science and Technology, Australia
The Welding Institute, UK
The Japan Society of Mechanical Engineers, Japan
The Society of Naval Architects of Japan, Japan
European Safety and Reliability Association
VOLUME I - PART B
OFFSHORE TECHNOLOGY
Case Histories — Offshore Structures
Offshore Structure Concepts
Fluid Structure Interaction
Risers, Moorings, and Cables
Structural Mechanics
Geotechnical Engineering
Motions of Floating Structures
EDITED BY
SUBRATA K. CHAKRABART!
CHICAGO BRIDGE & IRON TECHNICAL
SERVICES CO.
HISAAKI MAEDA
UNIVERSITY OF TOKYO
GRANT E. HEARN
UNIVERSITY OF NEWCASTLE-UPON-TYNE
A. NEIL WILLIAMS
UNIVERSIW OF HOUSTON
DENBY G. MORRISON
SHELL OIL COMPANY
MOGEN HENDRICKSEN
UNIVERSITi' OF NORTH DAKOTA
THE AMERICAN SOCIETY OF M E C H A N I C A L ENGINEERS
United Engineering Center • • 345 East 47th Street • • New York, N.Y. 10017
Statement from By-Laws; The Society shall not be responsible for statements or opinions advanced In papers . . . or printed in its publications (7.1.3)
ISBN No. 0-7918-0717-7
Library of Congress Catalog Number 82-70515
Copyright© 1991 by
THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS All Rights Reserved
TECHNISCHE UNIVERSITEIT
Laboratorium voor
Scheepshydromechanica
Archief
Mekerweg 2, 2628 CD DeHl
TeL: 015 - 786873 - Fax: 015 - 781836FOREWORD
The annual International Conference on Offshore Mechanics and Arctic Engineering (OMAE)
continues to serve as a major international forum for the presentation of research and engineering
works on interdisciplinary offshore mechanics and arctic engineering. This is the tenth anniversary
ofthe OMAE Conference, held in Stavanger, Norway. The Offshore Technology Symposium within
the 1991 OMAE Conference consists of 20 technical paper sessions and one Industry panel session
on Offshore Outlook. This volume contains 93 papers from more than 18 countries, all of which
have been reviewed and revised prior to acceptance for publication.
The Offshore Technology Symposium covers the following subjects:
• ocean waves and current
• hydrodynamic forces
• nonlinear hydrodynamics
• second-order effects
• fluid structure interaction
• motions of floating structures
• computational methods
• risers/moorings/cables
• vortex shedding and vibration
• structural mechanics
• case histories - offshore structures
• offshore structure concepts
• geotechnical engineering
The session on ocean waves and current includes numerical simulation, irregular and shallow
water waves, as well as offshore field data on tides. There are numerous papers on hydrodynamics
and nonlinear hydrodynamics. They include analytical, numerical, and experimental research on
fixed and moving offshore structures. Two sessions deal with the second-order effects of
hydro-dynamics. The sessions on the fluid structure interaction and motions of floating structures mainly
deal with the dynamics of floating offshore structures. These papers are followed by risers, cables,
and mooring lines. There is one session on structural mechanics dealing with structural member
loading effect, and two sessions on geotechnical engineering covering structure/soil interaction
problems. Case histories of offshore structures describe the performance of past and future
struc-tures for the offshore application.
Numerous session organizers devoted their valuable time in making these proceedings and
deserve heartfelt thanks from the OMAE Executive Committee. We appreciate the great cooperation
we have received from authors and reviewers in meeting deadlines. On behalf of all the individual
session organizers and members ofthe OMAE Conference Committee, we would like to thank the
individual reviewers (listed in this volume) for their help in maintaining the technical quality ofthe
papers.
S. K. Chakrabarti
D. G. Morrison
M. Hendricksen
iiiOFFSHORE TECHNOLOGY SYMPOSIUM COMMITTEE
Subrata K. Chakrabarti, Chairman, Chicago Bridge & Iron Technical Services Company, Plainfield Illinois Christian Aage. Technical University of Denmark, Lyngby, Denmark
Sunder H. Advani, Ohio State University, Columbus, Ohio
Desikan Bharathan, Solar Energy Research Institute, Golden, Colorado James N. Brekke, Exxon Production Research Company, Houston, Texas
Dennis C. Cotter, Chicago Bridge & Iron Technical Services Company. Plainfield, Illinois R. Cengiz Ertekin, University of Hawaii at Manoa, Honolulu, Hawaii
Ove T. Gudmestad. STATOIL, Stavanger, Norway
Grant E. Hearn, University of Newcastle Upon Tyne, Newcastle Upon Tyne, United Kingdom Mogen Hendricksen. University of North Dakota, Grand Forks, North Dakota
Michael E. Isaacson. University of British Columbia, Vancouver, British Columbia, Canada Sridhar Jagannathan. The Glosten Associates Inc.. Seattle, Washington
HisaakI Maeda. University of Tokyo, Tokyo, Japan Denby G. Morrison, Shell Oil Company, Houston, Texas
Dag Myrhaug, Norwegian Institute of Technology, Trondheim, Norway Finn G. Nielson. Norsk Hydro Research Centre, Bergen, Nonway H. Ronald Riggs. University of Hawaii at Manoa, Honolulu, Hawaii Thomas E. Schellln, Germanischer Lloyd, Hamburg, Gemany
Paul Schofield, WS Atkins Engrg. Sciences Ltd., Bristol, United Kingdom Charles Sparks, Institut Francais du Petrole, Rueil Malmaison, France William Stewart, Stewart Technology Associates, Houston, Texas Henry T. Wang, Naval Research Laboratory, Washington. D.C. A. Neil Williams, University of Houston, Houston, Texas
OFFSHORE TECHNOLOGY SYMPOSIUM
SESSION ORGANIZERS
Christian Aage, Technical University of Denmark, Lyngby, Denmark Sunder H. Advani. Ohio State University, Columbus, Ohio
Desikan Bharathan, Solar Energy Research Institute, Golden, Colorado James N. Brekke, Exxon Production Research Co., Houston, Texas
Subrata K. Chakrabarti, Chicago Bridge & Iron Technical Services Company, Plainfield, Illinois Dennis C. Cotter, Chicago Bridge & Iron Technical Services Company, Plainfield, Illinois R. Cengiz Ertekin, University of Hawaii at Manoa. Honolulu, Hawaii
Ove T. Gudmestad. STATOIL, Stavanger, Norway
Grant E. Hearn. University of Newcastle Upon Tyne, Newcastle Upon Tyne, United Kingdom Mogen Hendricksen, University of North Dakota, Grand Forks, North Dakota
Michael E. Isaacson, University of British Columbia, Vancouver, British Columbia, Canada Sridhar Jagannathan. The Glosten Associates Inc., Seattle, Washington
HIsaaki Maeda, University of Tokyo, Tokyo, Japan Denby G. Morrison, Shell Oil Company, Houston, Texas
Dag Myrhaug, Norwegian Institute of Technology, Trondheim, Norway Finn G. Nielson, Norsk Hydro Research Centre, Bergen, Norway H. Ronald Riggs, University of Hawaii at Manoa, Honolulu, Hawaii Thomas E. Schellln, Germanischer Lloyd, Hamburg, Germany
Paul Schofield. WS Atkins Engrg. Sciences Ltd., Bristol, United Kingdom Charles Sparks, Institut Francais du Petrole, Rueil Malmaison, France William Stewart, Stewart Technology Associates, Houston, Texas Henry T. Wang, Naval Research Laboratory, Washington, D.C. A. Neil Williams, University of Houston, Houston, Texas
PARTIAL LIST OF REVIEWERS
C. Aage S. H. Advani L. Baer K. J. Bai J. Baldwin R. G. Bea P. W. Bearman W. Blendermann J. N. Brekke F. Bruen H. Brunk K. F. Clieung A. S. Chitrapu G. F. Clauss R. Cointe I. Collins A. Cornett D. C. Cotter M. D. Earle R. C. Ertekin E. W. Foley I. J. Fylling 0. M. Griffin 0. T. Gudmestad K. J. Han N. Haritos G . E . Hearn M. Hendricksen K. Herfjord S. B. Hodges T. E. Horton C. S. Hsu R. Hudspeth E. Huse K. Ikegami Y. Inoue IVI. B. Irani M. E. Isaacson H. Ishitani S. Jagannathan T. Jiang T. Kinoshita K. Koterayama Y. Kyozuka E. Lehmann H. Maeda T. Mathal T. Matsui G. Moe D. G. Morrison H. Moshagen D. Myrhaug J. N. Newman F. G. Nielsen G. Nihous R. P. Nordgren J. O'Dea S. Ohmatsu O. Ohkusa P. Oltmann A. Papaniko J. Pawlowski J. Pinkster K. S. R. Prasad H. R. Riggs G. Rodenbusch T. Sarpkaya T. E. Schellin W. W. Schultz L. H. SeidI G. Shark S. T. Slocum H. Soding B. Sortland C. Sparks M. St. Denis R. G. Standing W. Stewart K. Subbiah B. M. Sumer Y. Takaishi T. Takayama M. Triantafyllou A. Troesch G. Tryggvason T. Vinje H. T. Wang A. N. Williams H. Yamato C. Yang K. Yoshida D. K. Yue viiPROCEEDINGS OF THE 10TH INTERNATIONAL CONFERENCE ON
OFFSHORE MECHANICS AND ARCTIC ENGINEERING
1991 OMAE
-VOLUME I - OFFSHORE TECHNOLOGY, PART A Hydrodynamics - Special Topics
Hydrodynamic Forces Second-Order Effects
Vortex Stiedding and Vibration Ocean Waves and Current Computational Methods
VOLUME I - OFFSHORE TECHNOLOGY, PART B Case Histories - Offshore Structures
Offshore Structure Concepts Fluid Structure Interaction Risers, Moonngs, and Cables Structural Mechanics
Geotechnical Engineering Motions of Floating Structures
VOLUME II - SAFETY AND RELIABILITY Probabilistic Modeling of Wave Environment Probabilistic Load and Response Modeling
Probabilistic Fracture Mechanics and Fatigue Reliability Structural Reliability Theory
Reliability of Offshore Structures Reliability of Ship Structure
Reliability-Based Inspection and Maintenance Risk Analysis
VOLUME III - MATERIALS ENGINEERING, PART A Residual Stress and Distortion in Welds
Weld Metal and HAZ Properties Undenwater and Hyperbaric Welding Steel Development
Materials Application and Inspection Titanium for Offshore Applications
VOLUME III - MATERIALS ENGINEERING, PART B Thickness Effect
Fatigue Life Prediction Tubular Joints Fracture Control Composite Materials Concrete Technology
VOLUME IV - ARCTIC/POLAR TECHNOLOGY Arctic Structures, Operations, and Analysis Applied Ice Mechanics
Properties, Mechanics, and Analysis of Frozen Soil Ice Environment/Statistics
Ice-Structure Interaction Ice Properties
Soil-Structure Interaction
VOLUME V - PIPELINE TECHNOLOGY
Pipeline Design/Hydrodynamic Forces/On-Bottom Behavior Pipeline Materials and Welding
Pipeline Safety/Reliability
Pipeline Installation/Operation/lnspection/Maintenance Pipeline Mechanics
CONTENTS
SPECIAL SESSION - HYDRODYNAMICS
) Uncertainty of Design Parameters From Viewpoint of Extreme Statistics
Yoshimi Goda 1 PART A
Separation Points on a Cylinder in Oscillating Flow
T. Sarpkaya and W. Butterworth 9
Wave Diffraction: Some Developments in Linear and Non-Linear Tiieory
R. Eatock Taylor and F. P. Chau 19
HYDRODYNAMIC FORCES
A Numerical Comparison of Monson Equation Coefficients for Oscillatory Flows: Sinusoidal and Nonsinusoidal
J. Zhang, C. Dalton, and X. Wang 29
Frequency Domain Analysis of Inline Forces on Circular Cylinders in Random Oscillatory Flow
R. G. Longoria, R. W. Miksad, and J. J. Beaman 39
Hydrodynamic Loads on Typical Jacket Joints in Steady Flow
P. Velk and M. J. Sterndorff 4 7
The Cnoidal Wave Force on Pier Group in Shallow Water
D. H. Qiu, Y. H. Zhou, and Y. Jia 5 5
Second-Order Wave Forces on a Cone Shaped Floating Structure
K. Masuda, T. Nagai, Y. Fujisawa, and T. Shibayama 63
Simulated High Reynolds Number Flow and Forces on Cylinder Groups
Lars Yde and Erik Asp Hansen 71
Wave Force and Flow Interference Effect on Vertical Cylinders
Nicholas Haritos and Ying Q. He 81
Three Dimensional Nonlinear Dynamic Analysis Method of Underwater Line Structure and Its Validation
Hideyuki Suzuki and Koichiro Yoshida 87
The Calculation of In-Llne Force on a Vertical Circular Cylinder and Analysis of Hydrodynamic Coefficients Cd, Cm in Wave-Current Co-Existing Field
H. G. Kang, Y. C. Li, and H. R. Wang 9 5
Numerical Simulation of Nonlinear Wave Diffraction by a Vertical Cylinder
Chi Yang and R. Cengiz Ertekin 105
SECOND-ORDER EFFECTS
The Computation of Second-Order Wave Loads
C.-H. Lee, J. N. Newman. M.-H. Kim, and D. K. P. Yue 113
Nonlinear Diffraction of Random Waves by a Vertical Cylinder
C. C. Hsieh, A. Kareem, and A. N. Williams I 2 5
Mean Drift Forces on a Pair of Cylinders in a Narrow Tank
A. N. Williams and J. H. Vazquez , I 3 5
Hydrodynamic Analysis of SPM Motions and Cable Forces
Paul Kaplan 141 P A R T A
High Frequency Hydrodynamic Damping of a TLP Leg
S. K. Chakrabarti and S. Y. Hanna 147 p Low Frequency Responses of a Moored Tanker: A Comparison of Results
K. L. Mitchell and R. Eatock Taylor 153
_, Numencal Prediction of Low-Frequency Surge of Two Moored Floating Production Platforms
r. E. Schellin, T. Jiang, and S. D. Sharma 165 Uncertainties in Estimating Second-Order Low-Frequency Wave Forces and Responses
R. G. Standing 175
VORTEX SHEDDING AND VIBRATION
Two-Dimensional Response of a Flexibly Mounted Cylinder in Oscillatory Flow
A. W. Lipsettand I. D. Williamson 187
Measurements of Fluid-Dynamic Damping of Stranded Cable Models at Low Oscillation Amplitude
C.B.Rawlins 195
The Flow-Induced Vibration of Undersea Cables in Non-Uniform Flows
Pefer Capozucca, James J. Burgess, and J. Kim Vandiver 203 OCEAN WAVES AND CURRENT
An Analytical Study on Transmission and Reflection of Non-Linear Shallow Water Waves on a Two-Dimensional Fixed Floating Body
G. P. Miao andY.Z.Liu 209 Extreme Wave Asymmetry in Full Scale and Model Scale Experimental Wave Trains
C. T. Stansberg 215
Wave Kinematics in Irregular Waves
James E. Skjelbreia, Gene Berek, Zane K. Bolen,
Ove T. Gudmestad, John C. Heideman, Robert D. Ohmart,
Nils Spidsoe, and Alt Torum 223
Numerical Generation of Gravity Waves and Open Boundary Scheme
Y. Tanaka and T. Nakamura • • • 229
The Lowest Astronomical Tide in the Ekofisk Area
M.J.Mes 237
COMPUTATIONAL METHODS
Non-Linear Dynamic Time Domain Simulation of Moored Floating Systems
O. Yilmaz and A. Incecik 247
Wave Loading of Ships and Platforms at a Small Forward Speed
John Grue and Enok Palm 255
Domains of Attraction of a System of Nonlinearly Coupled Ship Motions by Simple Cell Mapping
Won Kyoung Lee • • • • •
Numerical Simulation for Nonlinear Diffraction Problems of Shallow Water Wave by Offshore Structures
F. Ohtsuka, K. Masuda, and T. Nishimura 2 7 3
Numencal Simulation of Transient Nonlinear Free-Surface Flows With Body Interaction
Vincent Saubestre
Hydroelastic Response of Very Large Floating Structures
H. Ronald Riggs, Xiling Che, and R. Cengiz Ertekin 291
Non-Linear Response Characteristics of Compliant Offshore Structural Systems Via the Swept Sine Wave Technique
Nicholas Haritos ••••
Viscosity Effects on the Radiation Hydrodynamics of Two-Dimensional Cylinders
Ronald W. Yeung and Chun-fa Wu
Finite Element Model Correlation for Offshore Structures
Ricky L. Tawekal and Michael M. Bernitsas
Modeling Acoustic Propagation Beneath Ice Using the Finite Element Technique
James H. Clark and Robert Lafreniere
CASE HISTORIES - OFFSHORE STRUCTURES
In Service Experience of Fixed Offshore Structures in Norway
Reidar Hamre, Ame Kvitrud, and Kara Tesdal 331 PART B
Full Scale Measurement and Analysis on a SPM System
M. Dogliani, S. Monti, L. Sebastiani, and R. Tedeschi 337
On the Tensions of Mooring Lines of Floating Platform "Poseidon"
Stiigeo Ohmatsu, Sadao Omata, Shunji Kato, Naoto Yamagishi,
and Kentaro Kobayashi 3 4 5
Monitoring Ekofisk Seabed Subsidence: A Continuing Effort
M. J. Mes 3 5 5
OFFSHORE STRUCTURE CONCEPTS
Deepwater Production: Different Solutions for This Challenge
Roberto Alfradique Vieira de Macedo and Roberto Pessoa Coelho 361
Marlim Field Development: A Challenge in Deepwaters Production
A. Asrilhant 371
Albacora: A Deepwater Field Feasibility Study
Marco Antonio Guimaraes Dias and Ricardo Luis Carneiro Beltrao 385
Gorm F - An Optimized Jacket
Jens Otto Larsen, Jesper Kirchheiner, and Kai B. Olsen 401
Small Concrete Platform Concepts
Severin Lindseth 411
New Ideas for Small Unmanned Platforms
John W. A. Coker and Ove T. Gudmestad 419
Design of Fixed Offshore Platforms to Dynamic Ship Impact Loads
Martin J. Sterndorff, John Waegter, and Christian Eilersen 423
Structural Engineering Aspects of the Star Platform
John Waegter, Kai B. Olsen, and K. A. Sorensen 431
Concrete Tubular Truss Structure
Claude Valenchon, Ove T. Gudmestad, and Helge Skjaeveland 441
Manned Submarines for Offshore Service Duties
Ay res Freitas 4 4 9
FLUID STRUCTURE INTERACTION
An Investigation of Hydrodynamic Damping of Vertical Bottom-Pivoted Cylinders
Nicholas Haritos and Haixi Yang 4 5 7
Hydroelastic Model Study of a Deepwater Tripod Tower Platform: Response to Regular and Random Waves
N. Srinivasan, A. S. J. Swamidas, J. S. Pawlowski, and
a Williams 4 6 5
Numerical Analysis of Wave Induced Porous Fluid Pressure on Three-Dimensional Structure of Arbitrary Shape Resting on Seabed
Dahong Qiu and Jun Zang , 4 7 5
Gravity Waves and Their Interaction With Floating Twin Bodies
S. Chen, O. Mahrenholtz, and T. Zhu 48i RISERS, MOORINGS. AND CABLES
Effects of Internal Friction and Torque Stiffness on the Global Behavior of Flexible Risers and Umbilicals
Ivar Fylling and Arild Bech 4 3 9
An Experimentally Based Model for Prediction of Lock-in Riser Motions
Geir Moe ^gy
Dynamics of Tension Leg Platform Tethers at Low Tension: Part 1 - Mathieu Stability at Large Parameters
M. H. Patel and H. I. Park 5Q7
Computational Tools for the Time and Frequency Domain Analysis of TLP Tethers and Risers
J. F. McNamara and M. Lane 51 g
Modeling Jacking Forces on TLP Column Tops
H. M. Thompson 527 PART B
An Efficient Linearization Scheme for the Non-Linear Dynamic Equations of Flexible Robotic Manipulators
Anand M. Sharan and Praveen Kaira 533
Measurement of Cable Support Point Motions: Experiments in a Power Plant Cooling Canal
J. J. Burgess and P. Capozucca 541
On the Dynamic Tension of Towline in Ocean Towing
Yoshiyuki Inoue, Takesi Nakamura, and Hiroaki Miyabe 547
A Non-Uniformly Loaded Catenary Element
A. Back-Pedersen and K. K. Andreasen 555
On the Influence of Internal Slip Between Component Layers on the Dynamic Response of Unbonded Flexible Pipe
Z. Tan, J. A. WiU, G. J. Lyons, J. Fang, and M. H. Patel 563 STRUCTURAL MECHANICS
Earthquake Response of Offshore Structures
/. Bai and P. T. Pedersen 571
Dynamics of Tubular Semi-Rigid Joints
R. Kohoutek and I. Hoshyari 579
Effects of Mass Distribution on Free-Fail Lifeboat Behavior
J. K. Nelson, D. J. Fallon, J. Verhoef, and T. J. Hirsch 587
Dynamic Characteristics and Analysis of Steel Jacket Structures With Nonlinear Flexible Joints
A. S. EInashai and B. A. Izzuddin 595
GEOTECHNICAL ENGINEERING
Soil Structure Interaction Model for a Suction Pile Platform
J. Lorin Rasmussen, N. H. Christensen, and F. Haahr
Full Scale Offshore Pile Tests in Calcareous Sands
Joao Alcino de Andrade Martins
Breakout Resistance of Large Suction Piles
N. H. Christensen, F. Haahr, and J. Lorin Rasmussen
Geomechanical Model of Seabed Profile
Masaharu Fukue and Takaaki Nakamura
MOTIONS OF FLOATING STRUCTURES
Motion Response of Floating Production Units: Results From a Comparative Study on Computer Programs
Kjell Herfjord and Finn Gunnar Nielsen
^ Motions of Rectangular Barges
J. M. J. Jaurnée
Study of the Hydrodynamic Forces and the Wave Exciting Forces on Cone Type Structure With a Constant Forward Speed in Waves
Yasuo Fujisawa, Koichi Masuda, and Hisaaki Maeda
Added Mass Analysis of Elastic Axisymmetrical Rotational Shell in Water
Osamu Saijo and Nobukiyo Nishiwaki
Researches on Eliminating the Fluctuating of Fluid in Oil-Gas Separators on Offshore Floating Production Platforms
Hua-can Fang and Xing-ping Xu
Some Aspects of Deepwater Jacket On-Bottom Installation Dynamics
Denby G. Morrison, Thyl E. Kint, and Carlos Llorente
Dynamic Positioning of Horizontal Motion of a Drilling Vessel During Heading Changes 3 Celso Kazuyuki Morooka, Wagner Caradori do Amaral, and
Clovis Antonio Lopes •
Analysis of Mooring Lines and Risers Effects on the Stability of Semisubmersibles
Kazuo Nishimoto, Paulo Fernando Brunozi, and Jorge Luiz Babadopulos
601 611 617 623 629 641 651 659 667 673 679 687 xli
Mathematical Modeling of Free-Fail Lifeboat Launch Behavior
J. K. Nelson, D. J. Fallon, and T. J. Hirsch 695 PART B
A Study on the Stability Criteria of Semisubmersibles
Y. Takaishi, S. Ando, Y. Isozaki, K. Matsumoto, H. Okada,
and R. Takai 703
Author Index 709
