20 October 2009 Exact analysis of longitudinal vibration of a nonuniform piezoelectric rod
Author Affiliations +
Proceedings Volume 7493, Second International Conference on Smart Materials and Nanotechnology in Engineering; 749307 (2009) https://doi.org/10.1117/12.840398
Event: Second International Conference on Smart Materials and Nanotechnology in Engineering, 2009, Weihai, China
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.
© (2009) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
W. Q. Chen, C. L. Zhang, "Exact analysis of longitudinal vibration of a nonuniform piezoelectric rod", Proc. SPIE 7493, Second International Conference on Smart Materials and Nanotechnology in Engineering, 749307 (20 October 2009); doi: 10.1117/12.840398; https://doi.org/10.1117/12.840398
PROCEEDINGS
7 PAGES


SHARE
Back to Top