摘要
结合弹性材料修正后的H-R(Hellinger-Reissner)变分原理和二次插值函数,建立了平面坐标系下Hamilton正则方程推导了八节点等参元列式.考虑到脱层板的连接界面上应力和位移的连续性,将脱层板离散成上下两层,采用"分离合并"技术,建立脱层情况下板的控制方程.本文具体研究了脱层结构的固有频率问题,数值实例证明了本文方法的正确性.八节点等参元的使用不仅减少了节点数,同时也大大提高了计算效率.
By combining the modified H-R variational principle for elastic material with the quadratic interpolation functions,the formulation of isoparametric element with 8-node for Hamilton canonical equation in the plane-coordinate was derived.The continuity of stresses and displacements on the interface between layers was applied to separate into top/bottom layers.By using the separating-combiaing method,the state equation with delamination situation was established.The natural frequencies of delaminated plate were studied and the numerical examples show that the method presented is correct.The method of using isoparametric element with 8-node for Hamilton canonical equation reduces the number of nodes,and improves the efficiency.
出处
《动力学与控制学报》
2011年第1期7-11,共5页
Journal of Dynamics and Control
关键词
固有频率
HAMILTON正则方程
半解析法
八节点等参元
脱层
natural frequencies
Hamilton canonical equation
semi-analytical solution
parametrical element with 8-node
delaminaton
