大挠度矩形板的强非线性振动分析  

Analysis of Strongly Nonlinear Vibration of Large Deflection Rectangular Plate

作　　者：郑利锋[1] 张年梅[1] 

机构地区：[1]太原理工大学应用力学与生物医学工程研究所,山西太原030024

出　　处：《太原理工大学学报》2008年第S2期291-294,298,共5页Journal of Taiyuan University of Technology

摘　　要：分析了大挠度矩形板在横向周期激励和面内静载下的强非线性振动,在考虑几何非线性的同时,结合不同面内静载条件,利用能量法求解了矩形板的振动响应模式,并研究了横向动载荷对矩形板周期解的存在区域和稳定性的影响。The strongly nonlinear vibration in large deflection rectangular plate subjected to periodic excitation and forces in plane is studied.Considering geometry nonlinearity,the energy method is used to study the vibration response of rectangular plate.And the effect of the transversely period loads to existence and stability of the periodic motion of rectangular plate are analyzed under different face inner loading.

关 键 词：强非线性振动 周期运动 稳定性 矩形板 

分 类 号：O322[理学—一般力学与力学基础]