| 电磁场中载流薄板的弯曲行为分析 |
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| 引用本文： | 边宇虹,白象忠.电磁场中载流薄板的弯曲行为分析[J].上海力学,2011,32(1):129-136. |
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| 作者姓名： | 边宇虹 白象忠 |
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| 作者单位： | 燕山大学建筑工程与力学学院; |
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| 基金项目： | 国家自然科学基金项目(50275128); 河北省自然科学基金项目(A2006000190) |
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| 摘 要： | 在建立载流薄板的非线性磁弹性运动方程、电动力学方程和Lorentz力表达式的基础上,通过变量代换,将描述薄板的磁弹性状态方程整理成含有10个基本函数的标准Cauchy型.采用差分法及准线性化方法,将标准Cauchy型非线性偏微分方程组,变换成为能够用离散正交法求解的准线性微分方程组.通过算例,得到了电磁场与机械载荷联合...
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| 关 键 词： | 磁固耦合 载流薄板 非线性 应力 变形 |
Analysis of Bending Performances of a Thin Current-carrying Plate in an Electromagnetic Field |
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| BIAN Yu-hong,BAI Xiang-zhong.Analysis of Bending Performances of a Thin Current-carrying Plate in an Electromagnetic Field[J].Chinese Quarterly Mechanics,2011,32(1):129-136. |
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| Authors: | BIAN Yu-hong BAI Xiang-zhong |
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| Affiliation: | BIAN Yu-hong,BAI Xiang-zhong(College of Civil Engineering and Mechanics,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | Based on the nonlinear magnetoelastic kinetic equations,the electrodynamics equations,and the expressions of Lorentz force of thin current-carrying plate,normal Cauchy form nonlinear differential equations,which include ten basic functions in all,were obtained by variable replacement method.Using the difference and quasi-linearization methods,the nonlinear magnetoelastic equations were reduced to a sequence of quasilinear differential equations,which can be solved by discrete-orthogonalization method.The nu... |
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| Keywords: | magnetic-solid interaction thin current-carrying plate nonlinearity stress deformation |
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