The vibration of an elastic dielectric with piezoelectromagnetism

Authors:
J. S. Yang and X. Y. Wu

Journal:
Quart. Appl. Math. **53** (1995), 753-760

MSC:
Primary 73R05; Secondary 73D30

DOI:
https://doi.org/10.1090/qam/1359509

MathSciNet review:
MR1359509

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Abstract | References | Similar Articles | Additional Information

Abstract: This paper presents a few results on the free vibration of a finite elastic dielectric with linear piezoelectromagnetism. Following the proof of selfadjointness, the orthogonality of modes corresponding to different frequencies is proved. A variational principle is given in Rayleigh quotient form for the natural frequency. The variational principle is mixed in the sense that all field variables can be varied independently, and it can be used to generate other variational principles.

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DOI:
https://doi.org/10.1090/qam/1359509

Article copyright:
© Copyright 1995
American Mathematical Society