Abstract
A spherical elastic shell with radial transverse isotropy is considered. The periods of finite amplitude radial oscillation of the shell have been obtained in two cases, namely (i) when both the surfaces of the shell are free from traction, and (ii) when the shell boundaries are uniformly loaded in such a way that the pressure difference between inner and outer surfaces is constant with respect to time. It is observed that for free oscillation to take place it is necessary to impose a new restriction on the strain energy function in addition to those already obtained for finite amplitude oscillation of an isotropic elastic shell. In the forced oscillation case however the required conditions are of the same form as in the corresponding case for isotropic media.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Guo Zhong-heng, Roman Solecki,Arch. Mech. Stosow. 15 427 (1963).
Huilgol, R. R.,Arch. Mech. Stosow. 19 No. 5 (1967).
Ericksen, J. L. and Rivlin, R. S.,J. Ralt. Mech. Analy. 3 No. 3 1954.
Trusdell, C. and Noll, W.,Handbüch der Physik, Springer-Verlag 1965.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chaudhuri, S.R. Free and forced finite amplitude oscillation of a spherical shell of radially isotropic elastic material. Proc. Indian Acad. Sci. 85, 153–166 (1977). https://doi.org/10.1007/BF03046709
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF03046709