多孔功能梯度压电纳米壳中波传播特性
Wave Propagation in Functionally Graded Piezoelectric Nanoshells
王鑫特 1刘娟 1胡彪 1张波 1沈火明1
作者信息
- 1. 西南交通大学 力学与航空航天学院,成都 611756
- 折叠
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.
Abstract
The waves propagation characteristics in porous functionally graded piezoelectric nanoshells were in-vestigated based on the nonlocal strain gradient theory.The governing equations were developed under Hamil-ton'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 prop-agation characteristics were discussed numerically.The results show that,the influences of the nonlocal param-eter and the strain gradient parameter on the wave propagation frequency are closely related to the wave num-ber,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Key words
piezoelectric nanoshell/wave propagation/nonlocal strain gradient theory/functionally graded引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据