Vibrations of a spherical shell. Comparison of 3-D elasticity and Kirchhoff shell theory results
Abstract
Natural frequencies of a vibrating hollow, elastic sphere are determined using both the 3-D elasticity and Kirchhoff shell theory.
References
[1] M.C. Junger, D. Feit. Sound, Structure and Their Interaction. MIT Press, 1972.
[2] P. Destuynder. A classification of thin shell theory. Acta Applicandae Math., 4, 15-63, 1985.
[3] L. Demkowicz, J .T. Oden. Elastic scattering problems in linear acoustic using an h-p boundary/finite element method. In: Adaptive Finite and Boundary Element Methods, C.A. Brebbia, M.H. Aliabadi (eds.), Computational Mechanics Publications 1993.
[4] A.C. Eringen, E.S. Suhubi. Elastodynamics, Vol. 2. Academic Press, New York, 1975.
[5] C.F. Long. On the completeness of the Lame potentials. Acta. Mech., 3, 371- 375, 1967.
[2] P. Destuynder. A classification of thin shell theory. Acta Applicandae Math., 4, 15-63, 1985.
[3] L. Demkowicz, J .T. Oden. Elastic scattering problems in linear acoustic using an h-p boundary/finite element method. In: Adaptive Finite and Boundary Element Methods, C.A. Brebbia, M.H. Aliabadi (eds.), Computational Mechanics Publications 1993.
[4] A.C. Eringen, E.S. Suhubi. Elastodynamics, Vol. 2. Academic Press, New York, 1975.
[5] C.F. Long. On the completeness of the Lame potentials. Acta. Mech., 3, 371- 375, 1967.
Published
2023-07-17
Issue
pp. 187-206
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Chang, Y.-C., & Demkowicz, L. (2023). Vibrations of a spherical shell. Comparison of 3-D elasticity and Kirchhoff shell theory results. Computer Assisted Methods in Engineering and Science, 2(3), 187-206. https://cames3.ippt.pan.pl/index.php/cames/article/view/1472
