含初缺陷复合材料圆柱曲板的动力屈曲分析

基于修正的一阶剪切变形理论，利用Ｈａｍｉｌｔｏｎ原理导出包含横向剪切变形和转动惯量的复合材料长圆柱曲板的非线性动力方程，通过将位移和载荷展开为Ｆｏｕｒｉｅｒ级数，把非线性偏微分方程组转化为二阶常微分方程组，并可由四阶Ｒｕｎｇｅ－Ｋｕｔｔａ方法数值求解，通过算例，讨论了有关因素对迭层复合材料圆柱曲板动力屈曲的影响。

DYNAMIC BUCKLING ANALYSIS OF LAMINATED COMPOSITE IMPERFECT CYLINDRICAL PANELS

In this paper, basing on the revised first order theory of transverse shear deformation and having considered the rotational inertia and initial geometric imperfections, the nonlinear dynamic equations of the long composite cylindrical panels have been derived by the use of the Hamilton s principle . The nonlinear partial differential equations obtained are transformed into ordinary differential equations by expansion into Fourier series and then solved numerically by the Runge-Kutta method of the fourth order. In the paper, it also discussed the effects of some parameters on the dynamic buckh'ng of laminated composite cylindrical panels.