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. Experi- ments using specimens made of silicone rubber closely verify the theoretical results.
%0 Journal Article
%1 wang-ert
%A Wang, A.S.D.
%A Ertepinar, A.
%D 1972
%J International Journal of Non-Linear Mechanics
%K stability
%N 5
%P 539 - 555
%R 10.1016/0020-7462(72)90043-1
%T Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure
%U http://www.sciencedirect.com/science/article/pii/0020746272900431
%V 7
%X 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. Experi- ments using specimens made of silicone rubber closely verify the theoretical results.
@article{wang-ert,
abstract = {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. Experi- ments using specimens made of silicone rubber closely verify the theoretical results.},
added-at = {2013-01-07T15:26:46.000+0100},
author = {Wang, A.S.D. and Ertepinar, A.},
biburl = {https://www.bibsonomy.org/bibtex/2f68bd797870a4ce907555bc7847934d3/jehiorns},
doi = {10.1016/0020-7462(72)90043-1},
interhash = {25331d29266a7ac0d9cb828b279bb47e},
intrahash = {f68bd797870a4ce907555bc7847934d3},
issn = {0020-7462},
journal = {International Journal of Non-Linear Mechanics},
keywords = {stability},
number = 5,
pages = {539 - 555},
timestamp = {2013-01-07T15:26:46.000+0100},
title = {Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure},
url = {http://www.sciencedirect.com/science/article/pii/0020746272900431},
volume = 7,
year = 1972
}