Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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: 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.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/1359509
Article copyright: © Copyright 1995 American Mathematical Society

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