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Alternative TitleThe Buckling of a Rectangular Thin Current-Carrying Plate in an Alternating Magnetic Field
王平; 王知人; 白象忠; 王继利
Source Publication力学季刊
Other AbstractA rectangular thin current-carrying plate is simply supported at each edge.Based on deriving the magnetic-elasticity dynamical buckling equation of the plate applied mechanical load in a magnet field,the equation was changed into the standard form of the Mathieu equation by using the Galerkin’s method.The magnetic-elasticity buckling problem of the plate applied mechanical load in an alternating magnet field was studied by using the solution’s stability of the Mathieu equation.As an example,a current carrying rectangular plate is simply supported at each edge in an alternating magnet field,and the curves of the relations among the relative parameters when the plate is in the situation of critical buckling are shown and compared with in an uniform magnetic field here.The conclusions show that the electro-magnetic forces may be controlled by changing the parameters of the current and the magnetic field to get the aim for controlling the buckling of the current carrying plate.
Keyword交变磁场 薄板 屈曲 马丢方程
Subject Area力学
Indexed ByCSCD
Funding Organization国家自然科学基金资助项目(50875230);非线性力学国家重点实验室(LNM)开放基金资助项目(20101005)
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Document Type期刊论文
Corresponding Author王平
Recommended Citation
GB/T 7714
王平,王知人,白象忠,等. 载流矩形薄板在交变磁场中的屈曲分析[J]. 力学季刊,2011,32(4):539-546.
APA 王平,王知人,白象忠,&王继利.(2011).载流矩形薄板在交变磁场中的屈曲分析.力学季刊,32(4),539-546.
MLA 王平,et al."载流矩形薄板在交变磁场中的屈曲分析".力学季刊 32.4(2011):539-546.
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