Study on magneto–elastic–plastic deformation characteristics of ferromagnetic rectangular plate with simple supports
Study on magneto–elastic–plastic deformation characteristics of ferromagnetic rectangular plate with simple supports
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DOI：
10.1007/s10409-008-0211-9
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发表时间：
2009-02
影响因子：
3.5
通讯作者：
Yuanwen Gao
中科院分区：
文献类型：
--
作者：
Yuanwen Gao
本文研究了简支铁磁板的磁弹塑性变形行为。首先利用微扰技术导出了磁场力的微扰公式，然后将其应用于变形特性的分析，重点分析了变形的模式、对称性以及外加磁场入射角对板变形的影响。理论分析解释了简支铁磁矩形板在斜磁场作用下沿x方向呈沿着波浪形的原因，以及磁场入射角为45°时铁磁矩形板最大变形的原因。基于有限元方法，开发了一个数值程序，对多场非线性耦合问题进行了定量模拟。绘制了磁弹塑性变形的特性曲线，并揭示了磁场入射角对磁弹塑性变形的影响。从数值模拟得到的变形特性与理论分析一致。
In this paper, the magnetic–elastic–plastic deformation behavior is studied for a ferromagnetic plate with simple supports. The perturbation formula of magnetic force is first derived based on the perturbation technique, and is then applied to the analysis of deformation characteristics with emphasis laid on the analyses of modes, symmetry of deformation and influences of incident angle of applied magnetic field on the plate deformation. The theoretical analyses offer explanations why the configuration of ferromagnetic rectangular plate with simple supports under an oblique magnetic field is in-wavy type along thex-direction, and why the largest deformation of the ferromagnetic plate occurs at the incident angle of 45° for the magnetic field. A numerical code based on the finite element method is developed to simulate quantitatively behaviors of the nonlinearly coupled multi-field problem. Some characteristic curves are plotted to illustrate the magneto–elastic–plastic deflections, and to reveal how the deflections can be influenced by the incident angle of applied magnetic field. The deformation characteristics obtained from the numerical simulations are found in good agreement with the theoretical analyses.