横向磁场中对边简支对边固支矩形薄板的几何非线性因素忽略的条件  

The condition of ignore geometry nonlinear factors about two sides simply supported and two sides fixed thin rectangular plate under transverse electromagnetic fields

作　　者：高永毅[1] 唐果[2] 万文[3] 

机构地区：[1]湖南科技大学物理学院,湘潭411201 [2]湖南科技大学数学与计算科学学院,湘潭411201 [3]湖南科技大学能源与安全工程学院,湘潭411201

出　　处：《应用力学学报》2013年第4期516-519,644-645,共4页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(51175172;51174088);湖南省自然科学基金(10JJ6008)

摘　　要：在横向稳恒磁场和载荷共同作用下,以磁弹性薄板的振动方程为基础,利用谐波平衡法研究了对边简支对边固支矩形薄板的非线性振动特性;推导出了频率响应方程,并分析了其频率响应特性;讨论了矩形薄板的非线性因素的影响,得出了在对横向稳恒磁场和载荷共同作用下的矩形薄板进行设计、计算分析时其几何非线性因素忽略的条件。只有在各参数满足此条件时才可以不考虑横向稳恒磁场和载荷共同作用下该矩形薄板的几何非线性因素的影响。Base on the vibration equations of thin rectangular plate with two sides simply supported and two sides fixed under transverse electromagnetic fields and transverse loads,the nonlinear vibration characteristics are researched by using Harmonic Balance Method.The frequency response equation is derived and corresponding frequency response characteristics are investigated.Influences of nonlinear factors are also analyzed.The condition of geometry ignore nonlinear factors on the thin rectangular plate is acquired under transverse electromagnetic fields and transverse loads.

关 键 词：横向磁场 矩形薄板 振动特性 几何非线性 

分 类 号：O441[理学—电磁学]