| 磁弹性板的精化理论 |
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| 引用本文： | 赵宝生,王敏中.磁弹性板的精化理论[J].工程力学,2006,23(3):82-87,110. |
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| 作者姓名： | 赵宝生 王敏中 |
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| 作者单位： | 1. 鞍山科技大学机械工程与自动化学院,辽宁,鞍山114044;北京大学力学与工程科学系,北京,100871
2. 北京大学力学与工程科学系,北京,100871 |
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| 基金项目： | 中国科学院资助项目;鞍山科技大学校科研和教改项目 |
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| 摘 要： | 将Cheng精化理论推广到磁弹性板的研究中,对磁弹性板进行了精确的分析。从Huang和Wang给出的线性软磁材料的位移通解出发,利用中面上位移及其沿板厚方向的梯度,将板内的位移表示出来,并获得板内应力张量。利用Pao和Yeh给出的线性边界条件和Lur’e算子方法,给出磁弹性板的精化理论。其中挠度方程略去高阶项后,与磁弹性薄板的挠度方程一致。
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| 关 键 词： | 磁力学 精化板理论 Lur'e方法 弹性通解 磁弹性板 |
| 文章编号： | 1000-4750（2006）03-0082-06 |
| 收稿时间： | 2004-04-12 |
| 修稿时间： | 2004-04-122004-06-28 |
A REFINED THEORY OF MAGNETOELASTIC PLATES |
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| ZHAO Bao-sheng,WANG Min-zhong.A REFINED THEORY OF MAGNETOELASTIC PLATES[J].Engineering Mechanics,2006,23(3):82-87,110. |
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| Authors: | ZHAO Bao-sheng WANG Min-zhong |
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| Affiliation: | 1.School of Mechanical Engineering and Automation, Anshan University of Science and Technology, Anshan 114044, China; 2.Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China |
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| Abstract: | Cheng’s refined theory is extended to magnetoelastic plates, and an extension of recent analyses for magnetoelastic plates is given. Expressions are obtained for all displacements and stress components in terms of the mid-plane displacement, and its derivatives. Using Lur’e method, the refined theory of magnetoelastic plates is given from the linear boundary conditions of the magnetoelastic plate. When the high-order terms are omitted, the equation in terms of deflection of the refined theory turns into the classical equation for the deflection curve of a thin magnetoelastic plate. It is derived by utilizing a general solution of the magnetoelasticity developed by Huang and Wang. |
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| Keywords: | magnetomechanics refined theory of plate Lur’e method elastic general solution magnetoelastic plate |
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