几何初缺陷铁磁梁式板磁弹塑性屈曲失稳的摄动分析  

Magneto-plastic buckling and snapping of ferromagnetic beam-plate with geometrical imperfections

作　　者：高原文[1] 周又和[1] 郑晓静[1] 

机构地区：[1]兰州大学物理科学与技术学院力学系,甘肃兰州730000

出　　处：《兰州大学学报（自然科学版）》2004年第5期21-25,共5页Journal of Lanzhou University(Natural Sciences)

基　　金：国家杰出青年基金(10025208);国家自然科学青年基金(10302009);兰州大学首届交叉学科青年基金(Lzu200305)资助项目

摘　　要：基于广义变分原理得到的磁力公式,采用磁场摄动技术,给出了横向磁场作用下铁磁梁式板的磁力摄动表达式。在此基础上研究了横向均匀磁场下,具有几何初缺陷铁磁梁式板的磁弹塑性静力屈曲失稳特征,探讨了塑性变形对铁磁梁式板的失稳临界磁场值等力学特征的影响。分析结果表明:塑性变形对铁磁梁式板屈曲失稳临界磁场是敏感的,几何初缺陷对结构的变形特征具有很大影响。Magneto-plastic buckling bending and snapping behavior for simple ferromagnetic supported beam-plates with geometrical initial imperfection are considered in this paper and the perturbation technique has been employed to derive the expressions of magnetic force of the ferromagnetic beam-plates located in the uniform transverse magnetic fields. Based on this, some analytical results of the magneto-elastic-plastic buckling in static status axe deduced of the ferromagnetic beam-plate with geometrical initial imperfections. The effects of plastic deformation and geometrical initial imperfection of the beam-plate are investigated. The results indicate that plastic deformation is sensitive to the critical value of buckling/snapping of the ferromagnetic beam-plate, i. e., the critical magnetic field value of the beam-plate with plastic deformation is lower than those with elastic deformation. And the geometrical initial imperfections is also an important factor affecting the deformation and the mode of instability and so on of the ferromagnetic beam-plate. The mode of instability is bending snapping of the ferromagnetic beam-plate with geometrical initial imperfection, rather than buckling snapping, which is the mode of instability of ferromagnetic without geometrical initial imperfection.

关 键 词：磁场摄动 几何初缺陷 铁磁梁式板 弹塑性屈曲失稳 

分 类 号：O344.3[理学—固体力学]