高速船复合材料层合板非线性动力失稳分析

对高速船复合材料层合板在轴向线性增长载荷作用下的非线性动力失稳进行了研究。基于极的大挠度基本假设，导出四边简支矩形层合板的非线性动力方程及变形及协调方程；用级数展开把非线性偏微分方程组化为易于求解的Kronecker内积形式的二阶常微分方程组，并由四阶Runge-kutta法数值求解，讨论了加载速率对复合材料层合板动力失稳的影响。由于本文在方程求解中采用了Kronecker内积，故提高了解的精度及效率。

Nonlinear Dynamic Buckling of Composite Laminate in High-speed Ship

The nonlinear dynamic buckling of composite laminate in high speed ship under linearly increasing loading was researched. On the basis of large deflection hypotheses of plate, the equilibrium and compatibility equations of composite laminate under simply support are obtained. The nonlinear partial differential equations are transformed into ordinary differential equations including kronecker sign by series expansion and solved numerically by fourth order Runge Kutta method. The effects of loading increasing speed on the dynamic buckling of antisymmetric cross ply composite laminate are discussed. Because the kronecker sign was applied in the differential equations, the solution of the equations will be more precise, and the time for computations will be saved a lot.