复合材料选层板的非线性动力稳定性理论

本文用Hamilton原理建立了复合材料迭层板动力稳定性的一般方程.用此方程可以考虑横向剪切变形、板的初始几何不完善性、纵向惯性力和转动惯性力、以及纤维的铺设角度等各种因素对于迭层板的动力稳定性的影响.所求得的基本方程的解表明迭层板的一些重要的动力失稳特征只有通过对这些因素的考虑和分析才能够得出.

Theory of Nonlinear Dynamic Stability for Composite Laminated Plates

In this paper, the general equations of dynamic stability for composite laminated plates are derived by Hamilton principle. These general equations can be used to consider those different factors that affect the dynamic stability of laminated plates. The factors are transverse shear deformation, initial imperfections, longitudinal and rotational inertia, and ply-angle of the fiber, etc. The solutions of the fundamental equations show that some important characteristics of the dynamic instability can only be got by the consideration and analysis of those factors.