初始缺陷和拉-弯耦合对于叠层板的振动、屈曲和非线性动力稳定性的影响  

Influence of Initial Imperfection and Coupling Between Bending and Extension on Vibration, Buckling and Nonlinear Dynamic Stability of Laminated Plates

作　　者：王列东[1] 刘正宁[1] 周承倜[1] 

机构地区：[1]大连大学

出　　处：《应用数学和力学》1999年第5期477-485,共9页Applied Mathematics and Mechanics

基　　金：辽宁省科学技术基金

摘　　要：研究了复合材料叠层板的初始缺陷和拉伸＿弯曲耦合对于其振动、屈曲和非线性动力稳定性的影响·推导了控制方程·这是一个修正的非线性Ｍａｔｈｉｅｕ方程·进行了５种典型复合材料的数值计算，它们是玻璃环氧Ｓｃｏｔｃｈ＿１００２，芳纶环氧Ｋｅｖｌａｒ＿４９，硼环氧Ｂ４／５５０５，石墨环氧Ｔ３００／５２０８，和ＡＳ／３５０１·结果表明：由于初始缺陷耦合效应的存在，使叠层板对于进入参数共振更加敏感，并且其振幅大于无初始缺陷或者无耦合效应的叠层板·对于不同复合材料的叠层板，尤其是层数较少的板，耦合效应是不相同的·在板结构的屈曲和动力稳定性设计中，如果忽略了耦合效应的影响。In this paper, the influence of initial imperfection and coupling between bending and extension on vibration, buckling and nonlinear dynamic stability of laminated plates is studied. The governing equation is derived. It is a nonlinear modified Mathieu Equation. Numerical solutions of 5 typical composite materials namely, Scotch_1002, Kevlar_49,B4/5505,T300/5208 and AS/3501 are computed. Results reveal that the existence of initial imperfection and coupling effect,make plates much more sensitive to entering parametric resonance with amplitude greater than that of perfect plates. Coupling effect for different laminates, especially, for that with few layers, is different. If coupling effect is neglected, design of plate structures for buckling and dynamic stability would be unconservative for more than 10%.

关 键 词：初始缺陷 非线性 动力稳定性 叠层板 振动 屈曲 

分 类 号：O327[理学—一般力学与力学基础] O343.9[理学—力学]