均匀磁场作用下弹性板的屈曲(英文)  

Buckling of an elastic plate in a uniform magnetic field

作　　者：熊二刚[1] 王社良[1] 张倩[1] 丁怡洁[1] 

机构地区：[1]西安建筑科技大学土木工程学院,陕西西安710055

出　　处：《西安建筑科技大学学报（自然科学版）》2006年第4期533-537,共5页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(50278077);陕西省自然科学基金项目(2004E230);陕西省教育厅自然科学基金项目(05JK244)~~

摘　　要：研究了铁磁弹性板在均匀磁场中的屈曲问题.当外磁场垂直作用于板面时,在线磁弹性理论的框架上,建立了板的平衡方程,结合相应的边界条件,求解了平衡微分方程.接着讨论了板发生两种变形(反对称和对称变形)时的屈曲,并得到了屈曲时的临界磁场值.比较两种变形的临界磁场值,其结果表明对称变形时的屈曲磁感应强度高于反对称变形的磁感应强度.The problem of buckling of a ferromagnetic elastic plate is investigated in a uniform magnetic field within the framework of linear magnetoelasticity. The magnetic field is perpendicular to the plate plane. The equilibrium equations are established in this paper. Combined with the corresponding boundaries, these differential equations are solved. Then the critical values, at which the plate buckles, are obtained and discussed for the two kinds of deformations, antisymmetric and symmetric, of this plate. It is indicated that the buckling magnetic induction for the symmetric mode is much higher than that for the antisymmetric mode.

关 键 词：屈曲 磁场 铁磁弹性板 临界值 线磁弹性 

分 类 号：TU317.9[建筑科学—结构工程] TU313