一种分析层合板大挠度动力响应的有效方法

研究了四边简支复合材料层合板在横向冲击载荷作用下的非线性大挠度动力响应，提出了一种精确的计算方法，该方法基于经典的层合板理论及板的大挠度基本假庙，得到四边简支层合板的非线性运动方程及变形协调方程；用Galerkin法进行离散，将位移和应力函数展开为级数形式，由此获得一组非线性微分方程组；引入Kronecker张量积把非线性微分方程组化为易于求解的Kronecker张量积形式的二阶常微分方程组，由4阶Runge-Kutta法数值求解，文中讨论了不同载荷形式及初始挠度对复合材料层合板动力响应的影响。

An Effective Analytical Tool for Large Deflection Dynamic Response of Composite Laminated Plates

An effective and accurate analytical tool for the nonlinear large deflection response of simply supported composite laminated plates under the action of various types of time dependent lateral loads was presented. On the basis of classical lamination theory and large deflection hypotheses of plate, the equilibrium and compatibility equations of simply supported composite laminated plates are obtained. Based on Galerkin procedure and introducing kronecker tensor product, the nonlinear partial differential equations are transformed into ordinary differential equations including kronecker tensor product by series expansion and solved numerically by fourth order Runge Kutta method. The effects of loading forms and initial geometric imperfections on the dynamic response of simply supported composite laminated plates were discussed.