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On the Low Frequency Elastic Response of a Spherical Particle
並列摘要
This article reconsiders the vibration of a freely suspended elastic sphere. For the first time, equations determining general vibration eigen-modes are obtained in the closed forms. The previously published results are also re-derived, and examined in detail. In the procedure, validity conditions are explicitly inspected, and necessary approximations are elucidated. It is found that although tempting, the previous formulas for the eigen-frequencies of various vibrations are only valid for a limited number of multipole oscillations.
並列關鍵字
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