应用数学和力学2024，Vol.45Issue(2)：197-207,11.DOI:10.21656/1000-0887.440057
多孔功能梯度压电纳米壳中波传播特性
Wave Propagation in Functionally Graded Piezoelectric Nanoshells
摘要
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
王鑫特,刘娟,胡彪,张波,沈火明..多孔功能梯度压电纳米壳中波传播特性[J].应用数学和力学,2024,45(2):197-207,11.基金项目
国家自然科学基金(11502218) （11502218）
