功能梯度压电压磁圆柱轴对称的静力学响应  

THE STATIC RESPONSE OF AN AXISYMMETRIC FUNCTIONLLY GRADED PIEZOELECTRIC/PIEZOMAGNETIC CYLINDER

作　　者：谢军 李星 汪文帅 XIE Jun;LI Xing;WANG Wen-shuai(School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China)

机构地区：[1]宁夏大学数学统计学院,银川750021

出　　处：《工程力学》2021年第11期229-239,共11页Engineering Mechanics

基　　金：国家自然科学基金项目(42064004,11802225)。

摘　　要：针对无限长功能梯度压电压磁空心圆柱,研究轴对称空心圆柱电磁弹耦合静力学问题。在柱坐标系下,假定材料参数沿径向为幂函数分布,推导出在外激励作用下空心圆柱体中位移、应力、电势以及磁势等物理场的解析解。数值讨论中,针对BaTiO_(3)-CoFeO_(4)复合材料空心柱体,在不同边界条件下得到了不同梯度参数及不同厚度下空心圆柱应力、电势和磁势的分布规律。结果表明,对于功能梯度压电压磁空心圆柱,材料的失效主要是由于环向应力引起的,且圆柱厚度对环向应力有着显著影响。此外,梯度参数强烈影响功能梯度压电压磁传感器/制动器的电/磁输出和力学性能。结果对压电压磁圆柱型传感器/制动器的设计和分析具有一定的指导作用。For infinite-length functionally graded piezoelectric/piezomagnetic(FGPEPM)hollow cylinders,the statics of the electro-magnetic-elastic coupling for an axisymmetric hollow cylinder is studied.In the cylindrical coordinate system,assuming that the material parameters are distributed along the radial direction as a power function,analytical solutions of the physical fields such as displacement,stress,electric and magnetic potentials in the hollow cylinder under external excitation are derived.In the numerical discussions,for the BaTiO_(3)-CoFeO_(4) composite material hollow cylinder,the distribution of stress,electric and magnetic potentials for the hollow cylinder with different gradient parameters and different thicknesses are obtained under different boundary conditions.The results show that the material failure is mainly caused by the circumferential stress for the FGPEPM hollow cylinder,and that the cylindrical thickness has a significant influence on the circumferential stress.In addition,the gradient parameters strongly affect the electrical/magnetic output and the mechanical properties for FGPEPM sensors/actuators.The results have a certain guiding effect on the design and analysis for FGPEPM cylindrical sensors/actuators.

关 键 词：功能梯度压电压磁材料 空心圆柱 轴对称问题 解析解 耦合 

分 类 号：O312[理学—一般力学与力学基础]