Title :
Nonlinear Torsional Vibration of a Circular Cylindrical Piezoelectric Rod with Relatively Large Shear Deformation
Author_Institution :
Xiangtan Univ., Hunan
fDate :
7/1/2007 12:00:00 AM
Abstract :
We show that, in a circular cylindrical rod, torsional modes are coupling to extension when the shear deformation associated with the torsional modes is no longer infinitesimal. A set of a couple equations is derived with which the effect of extension on the torsional frequency is examined. The results are useful to the understanding and design of devices operating with torsional modes.
Keywords :
piezoelectricity; rods (structures); shear deformation; vibrational modes; circular cylindrical piezoelectric rod; device design; nonlinear torsional vibration; relatively large shear deformation; Acoustic transducers; Acoustic waves; Capacitive sensors; Couplings; Frequency; Nonlinear equations; Piezoelectric devices; Resonance; Tensile stress; Vibrations;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2007.410
