Torsional oscillations of an infinite cylindrical elastic tube under large internal and external pressure

Abstract

Abstract This study is concerned with the small amplitude torsional oscillations of a hyperelastic infinite circular cylindrical thick tube made of a rubber-like material subjected to a large static internal and external pressure. The material is represented by a Mooney-type strain energy relation. The governing differential equation is first solved by the Frobenius method then a variational approach, which is more suitable for numerical calculations, is developed. Several values for the natural frequencies are obtained.