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Free vibrations of a piezoelectric body

โœ Scribed by J. S. Yang; R. C. Batra

Publisher
Springer Netherlands
Year
1994
Tongue
English
Weight
502 KB
Volume
34
Category
Article
ISSN
0374-3535

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โœฆ Synopsis

We present a systematic analysis of the eigenvalue problem associated with free vibrations of a finite piezoelectric body. The analysis is based on an abstract formulation of the three-dimensional theory of piezoelectricity. A series of fundamental properties of free vibrations of a piezoelectric body are proved concisely. The problem of free vibrations of a piezoelectric plate governed by the two-dimensional plate equations due to Mindlin is treated in a similar manner.

๐Ÿ“œ SIMILAR VOLUMES

ON FREE VIBRATION OF A PIEZOELECTRIC COM
ON FREE VIBRATION OF A PIEZOELECTRIC COMPOSITE RECTANGULAR PLATE
โœ W.-Q. Chen; R.-Q. Xu; H.-J. Ding ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 186 KB

## 1. ๏ฉ๏ฎ๏ด๏ฒ๏ฏ๏ค๏ต๏ฃ๏ด๏ฉ๏ฏ๏ฎ Vibrations of piezoelectric plates have been studied for a long time. In fact, in as early as 1952, Mindlin [1] derived the two-dimensional approximate theory of thickness and bending vibrations for piezoelectric plates. Dokmeci [2] made a review on the main works of vibrations o

Axisymmetric Free Vibrations Of Homogene
Axisymmetric Free Vibrations Of Homogeneous And Laminated Piezoelectric Cylinders
โœ N. Kharouf; P.R. Heyliger ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 679 KB

A numerical method is presented for finding approximate solutions to static and axisymmetric vibration problems for piezoelectric cylinders, including those composed of more than one material. The weak or variational forms of the general equations of piezoelectricity are solved using the Ritz method