Affiliation:
1. Department of Civil Engineering, University of Manitoba, Winnipeg, Manitoba, Canada
Abstract
The problem of wave propagation in elastic shells within the framework of a linear theory of a Cosserat surface is treated using the method of singular wave curves. The equations for determining the speeds of propagation and their associated wave mode shapes are obtained in a form involving the speeds of propagation in Cosserat plates and the curvature of the shell. A number of special cases in which the speeds and mode shapes simplify are considered. In particular, these special cases are shown to include as examples, certain systems of waves in elastic shells whose middle surfaces are the surface of revolution, the circular cylinder, the sphere, and the right helicoid.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On the derivation of the acoustic matrix for isotropic linearly elastic shells;Meccanica;1991
2. Transient waves in inhomogeneous anisotropic elastic shells;Acta Mechanica;1989-04
3. Wave Propagation in Thin Elastic Bodies;Elastic Wave Propagation - Proceedings of the Second I.U.T.A.M. - I.U.P.A.P. Symposium on Elastic Wave Propagation, Galway, Ireland, March 20–25, 1988;1989
4. Acceleration waves in isotropic elastic membranes;Archive for Rational Mechanics and Analysis;1981
5. Transients in cylindrical shells;Earthquake Engineering & Structural Dynamics;1980