An Analysis of the Deformation and Stresses in an Endless Belt Passing Over Cylindrical Rollers

[+] Author and Article Information
Eric P. Salathe

Center for the Application of Mathematics, Lehigh University, Bethlehem, Pa.

J. Appl. Mech 42(1), 88-92 (Mar 01, 1975) (5 pages) doi:10.1115/1.3423559 History: Received May 01, 1974; Revised September 01, 1974; Online July 12, 2010


The theory of finite elasticity is used to describe the large elastic deformation of a circular cylindrical tube into an endless belt which passes over two cylindrical rollers. A perturbation solution is obtained applicable when the thickness of the tube is small. It is found that the solution breaks down where the belt leaves the rollers, and the method of matched asymptotic expansions is used to obtain the deformation in those regions.

Copyright © 1975 by ASME
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