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多孔功能梯度压电纳米壳中波传播特性OA北大核心CSTPCD

Wave Propagation in Functionally Graded Piezoelectric Nanoshells

中文摘要英文摘要

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 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.

王鑫特;刘娟;胡彪;张波;沈火明

西南交通大学 力学与航空航天学院,成都 611756

压电纳米壳波动特性非局部应变梯度理论功能梯度

piezoelectric nanoshellwave propagationnonlocal strain gradient theoryfunctionally graded

《应用数学和力学》 2024 (002)

扭动微动磨损损伤力学机理研究

197-207 / 11

国家自然科学基金(11502218)

10.21656/1000-0887.440057

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