Vibrations of a spherical shell. Comparison of 3-D elasticity and Kirchhoff shell theory results

  • Yao-Chang Chang The University of Texas at Austin
  • Leszek Demkowicz The University of Texas at Austin

Abstract

Natural frequencies of a vibrating hollow, elastic sphere are determined using both the 3-D elasticity and Kirchhoff shell theory.

Keywords

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.
Published
Jul 17, 2023
How to Cite
CHANG, Yao-Chang; DEMKOWICZ, Leszek. Vibrations of a spherical shell. Comparison of 3-D elasticity and Kirchhoff shell theory results. Computer Assisted Methods in Engineering and Science, [S.l.], v. 2, n. 3, p. 187-206, july 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1472>. Date accessed: 14 nov. 2024.
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Issue
Vol 2 No 3 (1995)
Section
Articles
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