Abstract
Stability and small vibrations of long, thick-walled, circular cylindrical tubes subjected to finite twist and external pressure are investigated using the theory of finite elastic deformations in conjunction with the theory of small deformations superposed on large elastic deformations. The material of the tube is assumed to be isotropic, elastic, homogeneous and incompressible. A numerical scheme is adopted to solve the system of partial differential equations and the associated boundary conditions governing the problem. The effect of finite twist on the frequencies and the loss of stability due to uniform external pressure is displayed by various curves relating the frequencies to initial radial deformation parameter.
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