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出 处:《中国民航大学学报》2010年第1期22-25,共4页Journal of Civil Aviation University of China
摘 要:为了使平面八节点等参元的优越性在弹性力学Hamilton正则方程的半解析法得到应用,结合弹性材料修正后的Hellinger-Reissner(H-R)变分原理和二次插值函数表达平面外应力和位移函数,建立了Hamilton正则方程的八节点等参元列式。首先简要地介绍了弹性材料修正后的H-R变分原理,然后用二次插值函数表示平面外应力和位移变量,并详细地推导了Hamilton正则方程的八节点等参元列式。数值实例结果证明了本文等参元列式的正确性。In order to combine the advantages of 8-node isoparametric elements with a semi-analytical solution of Hamilton canonical equation, the formulation of isoparametric element with 8-node for Hamilton canonical equation was presented in this paper by combining the modified Hellinger-Reissner (H-R) variational principle for elastic material and out-plane stress & displacement variables in quadratic interpolation functions forms. Firstly, the modified H-R variational principle for elastic material was briefly presented, then the quadratic interpolation functions were used to express the out-plane stresses and displacements variables, consequently the formulation of 8-node isoparametric element for Hamilton canonical equation was derived in detail. The results of numerical examples show the correctness of present formulation of isoparametrie elements.
关 键 词:HAMILTON正则方程 八节点等参元 半解析法
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