Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure

Albert Wang (1) , Aybar Ertepinar (1)

1 Drexel University

Theoretical and experimental studies of the free vibrations and the loss of stability of thick-walled cylindrical and spherical shells subjected to external pressure are presented. General equations for the oscillations of the shell under pressure are formulated on the basis of a rigorous theory of finite elasticity. Loss of stability is determined when the fundamental natural frequency of the prestressed shell ceases to be real-valued. Numerical solutions are obtained by solving the specialized equations that are applicable to neo-Hookean materials. Experiments using specimens made of silicone rubber closely verify the theoretical results.

Domaines: Sciences de l'ingénieur [physics]

Albert Wang, Aybar Ertepinar. Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure. International Journal of Non-Linear Mechanics, 1972, ⟨10.1016/0020-7462(72)90043-1⟩. ⟨hal-01299632⟩