带压电层圆柱形杆中波的传播  

Wave Propagation in the Layered Piezoelectric Cylindrical Bars

作　　者：罗松南[1] 邓庆田[1] 

机构地区：[1]湖南大学工程力学系,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2006年第2期74-77,共4页Journal of Hunan University:Natural Sciences

基　　金：高等学校博士学科点专项科研基金资助课题(20050532002)

摘　　要：基于Hamilton原理的矩阵形式,得到带压电层圆柱形杆中波传播的基本方程式;采用幂级数的不同幂次近似方法表达杆件中的位移函数;通过变分求得特征方程式;进而求得弹性简谐波在带压电层的圆柱杆件中传播时的频散关系和位移场.通过实例计算,得到了压电圆柱杆件中波传播的频散关系,讨论了压电层对波传播的影响.计算结果表明,这种方法能够得到较好的收敛结果.Based on the matrix formulation of Hamilton＇s principle, the basic equations with elastic wave propagation in the layered piezoelectric cylindrical bars were obtained, The displacement functions were expressed by the polynomials with different degrees. The eigenvalue equations were derived by performing the variational operation. The dispersion relations and displacement fields of wave propagation in the layered piezoelectric cylindrical bars were gained. Numerical results of dispersion relations in the layered piezoelectric cylindrical bars were obtained and the influence of the piezoelectric layer was discussed. The convergence rate was well illustrated with examples.

关 键 词：压电 圆柱形杆 波传播 

分 类 号：O347.41[理学—固体力学]