node Isoparametric Element of Hamilton Canonical Equation

Xing Ruishan; Qing Guanghui

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node Isoparametric Element of Hamilton Canonical Equation

更新时间：2026-05-27

- node Isoparametric Element of Hamilton Canonical Equation
- Vol. 29, Issue 1, Pages: 27-31(2012)
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- Online First：25 March 2012，
  
  Published：2012
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邢瑞山, 卿光辉. 九节点Hamilton等参元列式[J]. 广东工业大学学报, 2012, 29(1): 27-31.

Xing Ruishan, Qing Guanghui. node Isoparametric Element of Hamilton Canonical Equation[J]. 2012, 29(1): 27-31.
邢瑞山, 卿光辉. 九节点Hamilton等参元列式[J]. 广东工业大学学报, 2012, 29(1): 27-31. DOI：

Xing Ruishan, Qing Guanghui. node Isoparametric Element of Hamilton Canonical Equation[J]. 2012, 29(1): 27-31. DOI：

摘要

结合弹性材料修正后的H-R变分原理和九节点四边形等参元二次插值函数，建立了九节点Hamilton等参元列式的正则方程.简要地介绍了弹性材料修正后的H-R变分原理.基于变分原理使用3×3的高斯积分详细地推导了Hamilton正则方程的九节点等参元列式，使得九节点等参元在有限元法中的优越性与弹性力学Hamilton正则方程的半解析法得到了有机的结合.数值实例的结果证明了本文九节点Hamilton等参元列式的正确性.

Abstract

The 9-node isoparametric element of Hamiltonian canonical equation has been established by combining the modified Hellinger-Reissner (H-R) variational principle of elastic material and quadratic interpolation function of 9-node quadrilateral isoparametric element. Firstly

the modified H-R variational principle for the elastic material was briefly presented. Then

based on the variational principle and the 3×3 Guass integration

the Hamilton canonical equation of 9-node isoparametric element was derived in detail. The advantages of 9-node isoparametric element in finite element were combined with the semi-analytical method of elasticity Hamilton canoncial equation organically. The results of numerical examples prove the correctness of the 9-node isoparametric element formulation.

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references

饶寿期.有限元法和边界元法基础[M]. 北京:北京航空航天大学出版社,1989:90-110.

钟万勰. 弹性力学求解新体系[M]. 大连:大连理工大学出版社，1995.

Qing Guang-hui, Liu Yan-hong, Guo Qing, et al. Dynamic analysis for three-dimensional laminated plates and panels with damping[J]. International Journal of Mechanical Sciences,2008, 50(1):83-91.

范家让.强厚度叠层板壳的精确理论[M]. 北京:科学出版社,1996.

Qing Guang-hui, Qiu Jiau-jun, Liu Yan-hong. Free vibration analysis of stiffened laminated plates[J]. International Journal of Solids and Structure, 2006,43(6):1357-1371.

徐建新,蔡宇,卿光辉.Hamilton正则方程半解析法的收敛和对称分析[J].中国民航大学学报,2007,25(4):12-15.

卿光辉,邱家俊,塔娜.压电材料修正后的H-R混合变分原理及其层合板的精确法[J].工程力学, 2005,22(5):43-47.

钟万勰. 应用力学对偶体系[M].北京:科学出版社，2003.

王勖成. 有限单元法[M].北京:清华大学出版社,2003:145-149.

卿光辉,张领,贾立斌.热弹性复合材料层合板的响应分析[J].中国民航大学学报,2008,26(3):20-25.

段梅,宫本裕,周本宽,等.四节点元和八节点元H-收敛的比较[J].应用数学和力学,1996,17（1）:9-14.

吴永礼.九节点四边形等参数单元[J].中国电子学术期刊,1982(2):36-40.

陈浩然, 杨正林, 唐立民.复合材料层合板固化过程的数值模拟[J]. 应用力学学报,1998,15(3):30-36.

冷纪桐,赵军,张娅.有限元技术基础[M].北京：化学工业出版社,2007:90.

卿光辉,邢瑞山,崔甲子.八节点Hamitonian等参元列式[J].中国民航大学学报,2010，28(1):22-25.

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