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王省哲, 郑晓静. 铁磁梁式板磁弹性初始后屈曲及缺陷敏感性分析[J]. 力学学报, 2006, 38(1): 33-40. DOI:10.6052/0459-1879-2006-1-2004-468
引用本文: 王省哲, 郑晓静. 铁磁梁式板磁弹性初始后屈曲及缺陷敏感性分析[J]. 力学学报, 2006, 38(1): 33-40.DOI:10.6052/0459-1879-2006-1-2004-468
Analyses on Magnetoelastic Initial Post-buckling and Sensitivity to Imperfection for Ferromagnetic Beam-Plates[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(1): 33-40. DOI:10.6052/0459-1879-2006-1-2004-468
Citation: Analyses on Magnetoelastic Initial Post-buckling and Sensitivity to Imperfection for Ferromagnetic Beam-Plates[J].Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(1): 33-40.DOI:10.6052/0459-1879-2006-1-2004-468

铁磁梁式板磁弹性初始后屈曲及缺陷敏感性分析

Analyses on Magnetoelastic Initial Post-buckling and Sensitivity to Imperfection for Ferromagnetic Beam-Plates

  • 摘要:从铁磁板的磁弹性广义变分原理出发,通过对铁磁板内外的磁场和板变形场的摄动技术以及采用经典Koiter理论,对横向磁场中铁磁悬臂、简支、固支梁式薄板磁弹性稳定性的初始后屈曲行为及缺陷敏感性进行了定性研究. 解析地给出了悬臂板对初始缺陷敏感,简支和固支板对初始缺陷不敏感等结果,对悬臂梁式板理论预测的临界磁场值往往大于实验观测结果的现象从定性上给予了合理解释.

    Abstract:Based on a generalized variational principle ofmagnetoelasticity for soft ferromagnetic plates, the magnetoelasticstability and post-buckling as well as sensitivity to imperfection areanalytically investigated in the present paper to the ferromagnetic beam-plateswith cantilevered, simply-supported, clamp-supported boundary conditions.The analyses are carried out by means of perturbation technique for theouter and inner fields of ferromagnetic beam-plate and classical Koitertheory. The results achieved show that the stability of cantileveredbeam-plates is sensitive to initial imperfection but is not sensitive toinitial imperfection for simply-supported and clamped beam-plates. Thereasonable explanation is suggested qualitatively for the phenomenon thatthe predicted critical magnetic field of magnetoelastic buckling are alwayslarger than the measured values from experiments.

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