具弱界面粘结磁电弹性层合梁的非线性静力分析  

Nonlinear static analysis of magneto-electro-elastic laminated beam with weak interfacial bonding

作　　者：郑玉芳[1] 康崇春 高杰 陈昌萍 ZHENG Yufang;KONG Chongchun;GAO Jie;CHEN Changping(College of Civil Engineering,Fuzhou University,Fuzhou,Fujian 350108,China;Department of Civil Engineering and Architecture,Xiamen University of Technology,Xiamen,Fujian 361024,China)

机构地区：[1]福州大学土木工程学院,福建福州350108 [2]厦门理工学院土木工程与建筑学院,福建厦门361024

出　　处：《福州大学学报（自然科学版）》2022年第2期214-221,共8页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51778551)。

摘　　要：基于Soldatos精确应力分析的广义五自由度梁理论、von Karman非线性理论和Hamilton原理,通过引入静力平衡方程、静电和磁静力学的Maxwell方程的通解;建立具弱界面粘结磁电弹性层合梁的非线性平衡微分方程组,利用Galerkin方法对该非线性偏微分方程组进行求解.数值计算中,具体讨论了界面粘结强度对具弱界面粘结磁电弹性层合梁的位移、应力、电势和磁势沿梁厚方向分布的影响.Based on the generalized five-degree-of-freedom beam theory for Soldatos’s accurate stress analysis,von Karman nonlinear theory and Hamilton principle,the nonlinear equilibrium differential equations for the magneto-electro-elastic laminated beam with weak interfacial bonding are established by introducing the static balance equation,the general solution of the Maxwell equation of electrostatics and magnetostatics.The nonlinear control equations are solved by the Galerkin method.In the numerical calculations,the influences of the interfacial bonding strength on the displacement,stress,electric potential and magnetic potential along the thickness direction of the magneto-electro-elastic laminated beam with weak interfacial bonding are specifically discussed.

关 键 词：磁电弹性 层合梁 von Karman非线性理论 弱界面粘结 GALERKIN方法 

分 类 号：O342[理学—固体力学]