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地磁场作用半平面铁磁结构广义Flamant问题的弹性变形扰动静磁场解
引用本文:时朋朋.地磁场作用半平面铁磁结构广义Flamant问题的弹性变形扰动静磁场解[J].固体力学学报,2014,35(6):517-526.
作者姓名:时朋朋
作者单位:西安电子科技大学
基金项目:国家自然科学基金资助项目(11362018,41204041);中央高校基本科研业务费专项资金(JB142001-2);兰州大学西部灾害与环境力学教育部重点实验室开放基金项目(Klmwde201406)资助
摘    要:采用Fourier变换方法对广义Flamant载荷作用半平面铁磁结构弹性变形诱导的静磁场分布进行求解,得到的表达式经退化与集中力作用情形的扰动静磁场分布表达式相同。数值结果表明, 载荷分布形式通过影响结构的弹性变形进而影响扰动磁场分布的形貌和大小,扰动静磁场分布的形貌与载荷极大值的分布区域有直接关联,扰动静磁场分布的最值与作用力的大小正相关;扰动静磁场强度的法向分量的最值随着与结构表面的距离的减小而增大,随载荷分布尺寸的增大而增大。

关 键 词:地磁场  铁磁材料  广义Flamant问题  扰动静磁场  Fourier变换  
收稿时间:2014-04-10

Elastic Deformation Perturbed Magnetostatic Fields of the Generalized Flamant Problem for a Half-Plane Ferromagnetic Structure in Earth Magnetic field
Abstract:The magnetostatic field perturbed by elastic deformation of the generalized Flamant problem for the half-plane ferromagnetic structure in earth magnetic field is solved analytically by the Fourier transform method. The results of a concentrated force problem degenerated from this problem is derived from the present expressions. The numerical results show that the distribution of the generalized Flamant load can affects the elastic deformation of the structure, and then affects the distributions and the values of the magnetostatic field perturbed by elastic deformation; the distributions of magnetostatic field are directly related to the distributions of the maximum load area, and the values of magnetostatic field are positively associated with the values of the forces; in addition, the magnetostatic field perturbed by elastic deformation increases with the decreasing distance away from the structure surface, and it increases as the size of the load distribution increases.
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