摘要
应用 L ove的壳体理论得到了非轴对称变形的复合材料圆柱壳的控制方程。对扰动状态的非轴对称变形 ,位移函数采用复 Fourier级数形式 ,得到了 Mathieu形的扰动方程 ,由此给出了静态临界载荷和固有频率。本文中对层合壳在轴向冲击载荷下的动态稳定性研究考虑了几何非线性 ,这是以往在该问题的研究中所未涉及的问题。研究表明 ,考虑几何非线性得到的临界载荷较线性几何关系计算结果要高 5 %左右。因此 。
Following Loves shell theory, the governing equations of the composite cylindrical shell associated with asymmetric deformation perturbance were obtained. By taking the displacement functions as complex Fourier series at the perturbed state, the perturbed motion equations were deduced to a set of Mathieu equations. Then the critical load and natural frequencies were calculated. Previous studies on dynamic stability of laminated shells had not taken into account the geometric nonlinearity which was considered in the present work. Numerical results showed that the critical load yielded by geometric nonlinearity was about 5 % higher than that given by geometric linearity.
出处
《复合材料学报》
EI
CAS
CSCD
北大核心
2001年第4期82-86,共5页
Acta Materiae Compositae Sinica
基金
哈尔滨市基金资助项目 ( 99712 180 0 4)
