| 矩形铁磁板的磁弹性弯曲与稳定性 |
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| 引用本文： | 周又和,王省哲,郑晓静. 矩形铁磁板的磁弹性弯曲与稳定性[J]. 应用数学和力学, 1998, 19(7): 625-630 |
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| 作者姓名： | 周又和 王省哲 郑晓静 |
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| 作者单位： | 兰州大学力学系, 兰州 730000 |
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| 基金项目： | 国家自然科学基金,国家教委优秀年轻教师基金,国家教委留学回国人员科研基金,国家杰出青年科学基金 |
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| 摘 要： | 本文对于在外加磁场中的矩形软铁磁弹性板的磁弹性弯曲现象进行了定量模拟;建立了能反映磁弹性相互耦合作用的数值计算程序;揭示了铁磁板弯曲变形与磁(场)力的非线性特征关系,并据此讨论了磁弹性失稳临界磁场随倾斜角变化的规律.
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| 关 键 词： | 矩形薄板 磁弹性 弯曲与失稳 非线性 数值模拟 |
| 收稿时间： | 1997-01-23 |
Magnetoelastic Bending and Stability of Soft Ferromagnetic Rectangular Plates |
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| Affiliation: | Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China |
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| Abstract: | In this paper,the phenomenon of magnetoelastic bending is theoretically simulated for soft ferromagnetic rectangular thin plates in applied magnetic fields.A numerical program of 3d FEM is established to capture the nonlinear coupling intercationbetween magnetic fields and bending deflection.Afler the nonlinear characteristic of the bending deflection and the magnetic(field) force is quantitatively displayed,wediscuss the critical magnetic field and the effect of the incident angle of obliquely applied magnetic field on the critical field to the phenomenon of magnetoelastic instablitlity. |
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| Keywords: | rectangular ferromagnetic plates magnetoelasticity bending and instability nonlinearity numerical simulation |
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