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

作　　者：王省哲[1] 郑晓静[1] 

机构地区：[1]兰州大学力学系,兰州730000

出　　处：《力学学报》2006年第1期33-40,共8页Chinese Journal of Theoretical and Applied Mechanics

基　　金：教育部留学回国人员科研启动基金国家自然科学基金(90405005)资助项目.~~

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,对横向磁场中铁磁恳臂、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．Based on a generalized variational principle of magnetoelasticity for soft ferromagnetic plates, the magnetoelastic stability and post-buckling as well as sensitivity to imperfection are analytically investigated in the present paper to the ferromagnetic beam-plates with boundary conditions. The analyses are carried out by means cantilevered, simply-supported, clamp-supported of perturbation technique for the outer and inner fields of ferromagnetic beam-plate and classical Koiter theory. The results achieved show that the stability of cantilevered beam-plates is sensitive to initial imperfection but is not sensitive to initial imperfection for simplysupported and clamped beam-plates. The reasonable explanation is suggested qualitatively for the phenomenon that the predicted critical magnetic field of magnetoelastic buckling are always larger than the measured values from experiments.

关 键 词：铁磁梁式板 磁弹性耦合 后屈曲 缺陷敏感性 

分 类 号：O317[理学—一般力学与力学基础]