计及磁致伸缩各向异性与应力的磁-机械直接耦合有限元计算方法与实验验证

李岱岩; 张艳丽; 王振; 张殿海; 任自艳; 闫秀恪; 谢德馨

doi:10.13334/j.0258-8013.pcsee.240461

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计及磁致伸缩各向异性与应力的磁-机械直接耦合有限元计算方法与实验验证

电气基础与前沿交叉 | 更新时间：2026-01-17

- 计及磁致伸缩各向异性与应力的磁-机械直接耦合有限元计算方法与实验验证
- Magneto-mechanical Direct Coupling Finite Element Calculation Method and Experimental Verification Considering Magnetostrictive Anisotropy and Stress
- 中国电机工程学报 2025年45卷第19期页码：7810-7818
- 作者机构：
  
  教育部特种电机与高压电器重点实验室(沈阳工业大学),辽宁省,沈阳市,110870
- 作者简介：
- 基金信息：
- DOI：10.13334/j.0258-8013.pcsee.240461
  中图分类号：
- 纸质出版：2025
- 稿件说明：
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李岱岩, 张艳丽, 王振, 等. 计及磁致伸缩各向异性与应力的磁-机械直接耦合有限元计算方法与实验验证[J]. 中国电机工程学报, 2025,45(19):7810-7818.

LI Daiyan, ZHANG Yanli, WANG Zhen, et al. Magneto-mechanical Direct Coupling Finite Element Calculation Method and Experimental Verification Considering Magnetostrictive Anisotropy and Stress[J]. 2025, 45(19): 7810-7818.
李岱岩, 张艳丽, 王振, 等. 计及磁致伸缩各向异性与应力的磁-机械直接耦合有限元计算方法与实验验证[J]. 中国电机工程学报, 2025,45(19):7810-7818. DOI： 10.13334/j.0258-8013.pcsee.240461.

LI Daiyan, ZHANG Yanli, WANG Zhen, et al. Magneto-mechanical Direct Coupling Finite Element Calculation Method and Experimental Verification Considering Magnetostrictive Anisotropy and Stress[J]. 2025, 45(19): 7810-7818. DOI： 10.13334/j.0258-8013.pcsee.240461.

摘要

为了提高材料磁致伸缩特性影响下电气产品铁心振动形变计算的可靠性，该文提出考虑磁致伸缩各向异性和应力影响的磁-机械直接耦合计算方法。计及材料磁致伸缩特性以及磁场能与应变能之间耦合能量关系的影响，推导磁-机械直接耦合的总能量方程；针对软磁材料的磁-机械耦合求解区域，构建材料的非线性正交各向异性磁致伸缩应变偏张量模型；基于牛顿-拉夫逊迭代法，推导磁-机械耦合计算的非线性迭代求解过程，同时也考虑应力对磁致伸缩的影响；最后，编写有限元计算程序，并通过对铁心实物模型的实验，验证计算程序的有效性和计算精度。

Abstract

To improve the reliability of iron core vibration deformation calculation in electrical products arising from the magnetostrictive property in material

this paper conducts research on the magneto-mechanical direct coupling calculation method considering magnetostrictive anisotropy and stress. The total energy equation for direct magneto-mechanical coupling is derived

in which the magnetostrictive properties and coupling relationship between magnetic field energy and strain energy are considered. A nonlinear orthogonal anisotropic magnetostrictive strain tensor model is established for the magneto-mechanical coupling solution domain of soft magnetic materials. Based on the Newton-Raphson's iterative method

the nonlinear iterative solution process of magneto-mechanical coupling calculation is derived

considering the influence of stress on magnetostriction. Finally

the finite element calculation program is compiled

and the effectiveness and accuracy of calculation program are verified through experiments on the physical model of the iron core.

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