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关于无网格法节点布置方案的研究和探讨 被引量：1

Discussion on Nodal Arranging Scheme of Meshless Method
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摘要 无网格法是一种新的数值计算方法,节点的布置方案和节点的性态特点则是无网格法的重点,也是难点.根据敏感性分析在有限元方法和形状优化设计中的应用以及节点敏感性这一概念,利用敏感性分析理论来分析无网格法中的节点布置方案,选择相应的响应变量,计算节点的敏感性系数,得出节点敏感性系数和节点布置方案之间的关系,并且指出相应的解决办法. Meshless method is a new sort of numerical calculation method; nodal arranging scheme and character of nodes are emphasis and difficulty of meshless method. Based on nodal sensitivities and application of sensitivity analysis in finite element and shape optimization, the sensitivity analysis is used to study nodal arranging scheme in meshless method, choose relevant responsive variable, calculate nodal sensitivity modulus, find out relation between sensitivity modulus and nodal arranging scheme, then point out relevant solutions.
作者 张钧强 罗先启
机构地区 三峡大学土木水电学院
出处 《三峡大学学报（自然科学版）》 CAS 2005年第3期237-240,共4页 Journal of China Three Gorges University：Natural Sciences
关键词 建筑结构 无网格法 节点布置 敏感性分析 有限元方法 响应变量 sensitivity analysis sensitivity modulus meshless method responsive variable
分类号 TU356 [建筑科学—结构工程]
  • 相关文献

参考文献9

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共引文献5

同被引文献10

  • 1张选兵.[D].武汉:中科院武汉岩土力学研究所,1997.
  • 2张雄,刘岩.无网格法[M].北京:清华大学出版社,2005 1-94.
  • 3CHUNG Heungjin.Adaptive nodal generation with element-free galerkin method[J].Structural Engineering and Mechanics,2000,10 (6):635-650.
  • 4LIU W K.Moving least square reproduce kernel method (Part Ⅰ):methodology and convergence[J].Computer Methods in Applied Mechanics Engineering,1997,143(10):422-433.
  • 5THEODORE Sussman,BATHE K J.The gradient of the finite element variational indicator with respect to nodal point coordinates:an explicit calculation and applications in fracture mechanics and mesh optimization[J].International Journal for Numerical Methods in Engineering,1985,21 (6):763-774.
  • 6HENNEBERGER G.Sensitivity analysis of nodal position in adaptive refinement of finite element mesh[J].IEEE:Trans Magn,1990,26 (8):787-790.
  • 7WANG Shu-yu,SUN Yan-bing,GALLAGHER R H.Sensitivity analysis in shape optimization of continuum structure[J].Computer and Structures,1985,20 (2):855-867.
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  • 9娄路亮,曾攀.双材料界面裂纹应力强度因子的无网格分析[J].航空材料学报,2002,22(4):31-35. 被引量：37
  • 10江兴贤,陈红全.Euler方程无网格算法及布点技术[J].南京航空航天大学学报,2004,36(2):174-178. 被引量：10

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三峡大学学报（自然科学版）
2005年 第3期

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