基于高阶剪切变形理论的磁电弹性梁的非线性静力分析  

Nonlinear Static Analysis of Magneto-electro-elastic Beams Based on Higher Order Shear Deformation Theory

作　　者：许亮亮 郑玉芳[1] 陈昌萍 XU Liangliang;ZHENG Yufang;CHEN Changping(College of Civil Engineering,Fuzhou University,Fuzhou 350116,China;School of Civil Engineering and Architecture,Xiamen University of Technology,Xiamen 361024,China)

机构地区：[1]福州大学土木工程学院,福建福州350116 [2]厦门理工学院土木工程与建筑学院,福建厦门361024

出　　处：《贵州大学学报（自然科学版）》2019年第6期17-21,共5页Journal of Guizhou University:Natural Sciences

基　　金：国家自然科学基金项目资助(51778551)

摘　　要：基于高阶剪切变形理论和Von Karman非线性理论建立磁电弹性梁的非线性模型,采用Hamilton原理推导磁电弹性梁的非线性平衡微分方程,利用伽辽金方法对该非线性偏微分方程组进行求解。数值计算中,具体讨论了外部荷载、跨高比、磁场及电场等因素对磁电弹性梁非线性静力响应的影响。Based on the higher order shear deformation theory and Von Karman nonlinear theory,the nonlinear model of magneto-electro-elastic beams was established.The nonlinear equational differential equations of magneto-electro-elastic beams were derived by using Hamilton principle,and the nonlinear partial differential equations were solved through applying the Galerkin method.In the numerical calculations,the influences of the external load,span ratio,magnetic field and electric field on the nonlinear static response of magneto-electro-elastic beams were discussed.

关 键 词：Reddy三阶剪切理论 Von Karman非线性理论 磁电弹性梁 伽辽金法 

分 类 号：O343.5[理学—固体力学]