多层电磁弹性圆柱壳内波的轴向传播  

Wave Propagation along Axis of Magneto-electro-elastic Multilayered Cylinder

作　　者：陈江义[1] 陈花玲[1] 

机构地区：[1]西安交通大学,西安710049

出　　处：《应用力学学报》2007年第2期175-179,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(50575172)

摘　　要：对多层电磁弹性圆柱壳内波的轴向传播进行了分析。根据柱坐标系下电磁弹性多层结构的几何方程、平衡方程和本构方程,推导出了两个层间变量所满足的状态方程。通过状态方程的解和层间变量连续性条件,得到了多层圆柱体内外表面层间变量的传递关系。最后利用边界条件,导出了波在传播时所满足的频散方程,并求得该结构的模态参数。以一个三层的压电/压磁材料组成的柱壳结构作为数值算例,计算出波在其中轴向传播时的频散关系和模态参数,并对计算结果进行了分析。The wave propagation along axis of a magneto-electro-elastic multilayered cylinder is investigated with state space approach. Based on the geometrical,equilibrium and constitution equations under cylinder coordinate system, the two uncoupled state equations of variables out of plane are derived. The global propagation relationship between the variables on inner and outer surfaces is obtained by virtue of solution of the state equation and continuous conditions. Combining the global propagation and boundary conditions leads to dispersion equation of multilayered cylinder, the propagation relationship between variables and the modal parameters are evaluated. To illustrate the approach, the dispersion relation and modal shapes of wave propagation in a multilayered cylinder composed of piezoelectric and/or magnetostrictive materials are investigated.

关 键 词：电磁弹性材料 多层圆柱壳 波传播 

分 类 号：O343.3[理学—固体力学]