多孔功能梯度压电纳米壳中波传播特性  

Wave Propagation in Functionally Graded Piezoelectric Nanoshells

作　　者：王鑫特 刘娟[1] 胡彪 张波[1] 沈火明[1] WANG Xinte;LIU Juan;HU Biao;ZHANG Bo;SHEN Huoming(School of Mechanics and Aerospace Engineering,Southwest Jiaotong University,Chengdu 611756,P.R.China)

机构地区：[1]西南交通大学力学与航空航天学院,成都611756

出　　处：《应用数学和力学》2024年第2期197-207,共11页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11502218)。

摘　　要：基于非局部应变梯度理论,探究了含孔隙的功能梯度压电陶瓷纳米壳中波传播特性.利用Hamilton原理和一阶剪切理论推导了控制方程.结合非局部应变梯度理论和谐波解得到了尺度依赖的特征方程.数值讨论了尺度参数、波数、梯度指数、壳厚、孔隙率及电压对波传播特性的影响.研究表明:非局部参数和应变梯度参数对波传播频率的影响与波数密切相关,在一定范围内波数越大,尺度参数对频率的影响越大;另外,孔隙和梯度指数对频率具有耦合作用.The waves propagation characteristics in porous functionally graded piezoelectric nanoshells were investigated based on the nonlocal strain gradient theory.The governing equations were developed under Hamilton’s principle and the 1st-order shear theory.The scale-dependent characteristic equations were obtained through combination of the nonlocal strain gradient theory and the harmonic solutions.The effects of the scale parameter,the wave number,the gradient index,the thickness,the porosity and the voltage on the wave propagation characteristics were discussed numerically.The results show that,the influences of the nonlocal parameter and the strain gradient parameter on the wave propagation frequency are closely related to the wave number,and the larger the wave number is in a certain range,the greater the influence of scale parameters on the frequency will be.In addition,the porosity and the gradient index have a coupling effect on the frequency.

关 键 词：压电纳米壳 波动特性 非局部应变梯度理论 功能梯度 

分 类 号：TB383[一般工业技术—材料科学与工程] TB34