%0 Journal Article
%T Wave propagation in the piezoelectric hollow cylinder<br>压电空心圆柱中波的传播
%A Wei Jianping
%A <br>魏建萍
%A 苏先樾
%J 力学学报
%D 2004
%I 
%X In this article, the wave propagation in the piezoelectric hollow cylinder is investigated by applying 3-D piezoelectric elastic axial symmetric model. While the cylinder has piezoelectric property, its guided wave very differs with the non-piezoelectric cylinder. When the wavelength tends to zero, the velocity of simulation-P wave (sim-P wave) in the piezoelectric cylinder asymptotically tends to the quasi-P wave velocity of transverse isotropic elastic body, but the velocity of sim-P wave in the non-piezoelectric cylinder asymptotically tends to the P wave velocity of 1-D bar model. The sim-SV wave in the piezoelectric cylinder has the standing wave phenomenon. The SH wave is independent of electric field, so the piezoelectric and non-piezoelectric cylinders have the same frequency dispersion curves about SH wave. In this paper, using Integral Transform Method to combine the boundary condition and the governing equations together, a group of dynamics equations, which are about the displacements and electric potential, is derived. To the assured boundary condition, the guided-wave condition and the frequency dispersion equations are obtained. Above such solution, the transient responses under a stress pulse at the end are simulated. At last the effect to the wave propagation about the radius' ratios of the hollow cylinders is discussed.
%K piezoelectric hollow cylinder
%K guided-wave conditions
%K dispersion relations<br>压电空心圆柱
%K 波导条件
%K 频散关系
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=E417AC6A425A31F1&yid=D0E58B75BFD8E51C&vid=933658645952ED9F&iid=E158A972A605785F&sid=D8B37A0210DB6B9D&eid=D397660E39E3E461&journal_id=0459-1879&journal_name=力学学报&referenced_num=5&reference_num=11