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Proceedings Paper

Exact analysis of longitudinal vibration of a nonuniform piezoelectric rod
Author(s): W. Q. Chen; C. L. Zhang
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Paper Abstract

Piezoelectric rods are frequently used as transformer, known as Rosen transformer. This paper shows that the equations of motion governing the free longitudinal vibration of a nonuniform piezoelectric rod, for two special variations of crosssectional area, can be reduced to those that can be solved analytically by using suitable variable substitutions. Exact analytical solutions to determine the longitudinal natural frequencies and mode shapes for the nonuniform rod are derived. Numerical examples are given to show the effect of geometric non-uniformity on the dynamic characteristics of the rod.

Paper Details

Date Published: 20 October 2009
PDF: 7 pages
Proc. SPIE 7493, Second International Conference on Smart Materials and Nanotechnology in Engineering, 749307 (20 October 2009); doi: 10.1117/12.840398
Show Author Affiliations
W. Q. Chen, Zhejiang Univ. (China)
C. L. Zhang, Zhejiang Univ. (China)


Published in SPIE Proceedings Vol. 7493:
Second International Conference on Smart Materials and Nanotechnology in Engineering
Jinsong Leng; Anand K. Asundi; Wolfgang Ecke, Editor(s)

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