分数阶热弹理论下重力对压电介质中波传播的影响  

Effect of gravity on wave propagation in piezoelectric medium based on fractional thermoelastic theory

作　　者：马永斌[1] 张建敏 MA Yong-bin;ZHANG Jian-min(School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2022年第2期163-172,共10页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(12062011,11972176)。

摘　　要：基于分数阶热弹理论,研究了半空间无限大压电介质受周期载荷作用时重力对波传播影响.给出分数阶广义热弹性理论下的控制方程,运用正则模态法对控制方程进行求解,得到了半空间无限大压电介质中的无量纲温度、位移、应力和电位移等物理量的分布规律.重点研究了分数阶参数及重力对各物理量的影响效应.结果表明:半空间无限大压电介质中由于周期载荷作用而出现了热弹耦合效应,分数阶参数及重力显著地影响各物理量的分布规律.Based on the fractional thermoelastic theory,the effect of gravity on wave propagation in half space under periodic loading is studied.The governing equations under the fractional generalized thermoelastic theory are given,and the normal mode analysis is used to solve the governing equations.The distribution laws of dimensionless physical quantities such as temperature,displacement,stress and electric displacement in the half space infinite piezoelectric medium are obtained.The effects of fractional order parameters and gravity on the physical quantities are mainly studied.The results show that the thermoelastic coupling effect appears in the half space infinite piezoelectric medium due to the periodic load,and the fractional order parameters and gravity significantly affect the distribution of physical quantities.

关 键 词：波传播 重力 分数阶理论 压电热弹性 正则模态分析 

分 类 号：O343.6[理学—固体力学]