Delft University of Technology
Faculty Mechanical, Maritime and Materials Engineering Transport Technology
W.D. Shi, Stress Analysis of the Belt on the Pulley, with linear eleastic plain strain and nonlinear friction. Research project, Report 93.3.TT.4185, Transport Engineering and Logistics.
The power of belt conveyor is transmitted from the driving pulley to the belt in terms of the friction between them. In view of strength analysis of the belt and the pulley, especially abrasion analysis of both the bottom rubber cover and the lagged rubber of the driving pulley, the stress and strain states near the contact region and the friction mechanism on the contact surface are so important that all of them should be made as clearly possible. In the meantime, with better understanding of the mechanism of force transfer on the driving pulley, it is helpful for the design and manufacture of the belt and the lagging driving pulley, as well as failure analysis of the belt and the lagged rubber in practical applications.
In this report, first, three stress cqmponents within the belt and the lagged rubber are formulated respectively on the basis of two dimensional linear elasticity. All stress components satisfy the equilibrium and the boundary conditions. The tangential traction and the normal pressure are derived on the basis of the nonlinear friction described by a perfect elastic-plastic behaviour on the contact surface. Then in terms of the variational principle of complementary energy, the compatibility of the strain field is guaranteed, and the governing differential equation is formulated. Consequently, associated with the specified boundary conditions, the solutions are obtained in a closed form.
Three cases of the complementary energy, such as the bare rim steel pulley with and without friction energy lose, and the lagged pulley with friction energy lose are illustrated in this report.
Only the theoretic formulations are elaborated in this report. Programming and experiments which are used to determine the parameters of the friction, and to verify the theoretic analysis, will be done further.
Reports on Transport Engineering and Logistics (in Dutch)
