柱坐标系下正则方程的八节点等参元列式
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8-node isoparametric element on cylindrical shell for Hamilton canonical equation and its natural frequency
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    摘要:

    本文结合弹性材料修正后的H-R变分原理和二次插值函数,为柱坐标系下Hamilton正则方程建立了八节点等参元列式.首先简要地介绍了弹性材料修正后的H-R变分原理,然后采用二次插值函数表达壳的平面外应力和位移函数,详细地推导了柱坐标系下Hamilton正则方程的八节点等参元列式.数值实例的分析结果证明了本文八节点等参元列式的正确性.

    Abstract:

    By combining the modified HellingerReissner(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 cylindrical coordinate was established in this paper. Firstly, the modified HR variational principle for elastic material was briefly presented. Then the quadratic interpolation functions were used to express the stresses and displacements of shell. The formulation of isoparametric element with 8-node for Hamilton canonical equation in the cylindrical coordinate was derived in detail from the modified H-R variational principle. The results of numerical examples show the correctness of the formulation of isoparametric elements in this paper.

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卿光辉,但敏,郭巧荣.柱坐标系下正则方程的八节点等参元列式[J].动力学与控制学报,2010,8(2):165~169; Qing Guanghui, Dan min, Guo Qiaorong.8-node isoparametric element on cylindrical shell for Hamilton canonical equation and its natural frequency[J]. Journal of Dynamics and Control,2010,8(2):165-169.

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  • 收稿日期:2008-07-04
  • 最后修改日期:2008-08-27
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