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BRIEF NOTES

On Eigenfrequencies of an Anisotropic Sphere

[+] Author and Article Information
W. Q. Chen, J. B. Cai, G. R. Ye, H. J. Ding

Department of Civil Engineering, Zhenjiang University, Hangzhou 310027, P. R. China

J. Appl. Mech 67(2), 422-424 (Feb 17, 2000) (3 pages) doi:10.1115/1.1303803 History: Received March 17, 1998; Revised February 17, 2000
Copyright © 2000 by ASME
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References

Maiti,  M., 1975, “Stress in Anisotropic Nonhomogeneous Sphere,” J. Eng. Mech., 101, pp. 101–108.
Montagner,  J. P., and Anderson,  D. L., 1989, “Constrained Reference Mantle Model,” Phys. Earth Planet. Inter., 54, pp. 205–227.
Chen, W. Q., 1996, Coupled Free Vibrations of Spherically Isotropic Hollow Spheres, Ph.D. dissertation, Zhejiang University, Hangzhou, China (in Chinese).
Hu,  H. C., 1954, “On the General Theory of Elasticity for a Spherically Isotropic Medium,” Acta Sci. Sin., 3, pp. 247–260.
Chen,  W. T., 1966, “On Some Problems in Spherically Isotropic Elastic Materials,” ASME J. Appl. Mech., 33, pp. 539–546.
Cohen,  H., Shah,  A. H., and Ramakrishnan,  C. V., 1972, “Free Vibrations of a Spherically Isotropic Hollow Sphere,” Acustica, 26, pp. 329–333.
Ding,  H. J., and Chen,  W. Q., 1996, “Nonaxisymmetric Free Vibrations of a Spherically Isotropic Spherical Shell Embedded in an Elastic Medium,” Int. J. Solids Struct., 33, pp. 2575–2590.
Schafbuch,  P. J., Rizzo,  F. J., and Thompson,  R. B., 1992, “Eigenfrequencies of an Elastic Sphere With Fixed Boundary Conditions,” ASME J. Appl. Mech., 59, pp. 458–459.
Ding,  H. J., Chen,  W. Q., and Liu,  Z., 1995, “Solutions to Equations of Vibrations of Spherical and Cylindrical Shells,” Appl. Math. Mech., 16, pp. 1–15.
Silbiger,  A., 1962, “Non-axisymmetric Modes of Vibrations of Thin Spherical Shell,” J. Acoust. Soc. Am., 34, p. 862.

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