| 覆盖位移函数对数值流形方法刚度矩阵的影响 |
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| 引用本文： | 邓安福,郑冰,周小义.覆盖位移函数对数值流形方法刚度矩阵的影响[J].重庆大学学报(自然科学版),2009,32(7):829-833. |
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| 作者姓名： | 邓安福 郑冰 周小义 |
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| 作者单位： | 重庆大学土木工程学院;四川省地质工程勘察院; |
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| 基金项目： | 交通部西部交通建设科技资助项目(200231800026) |
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| 摘 要： | 基于数值流形方法的覆盖位移函数理论,从覆盖位移函数对刚度矩阵形成关系的角度出发分析了其对刚度矩阵求解的影响。通过分析可知,刚度矩阵中矩阵元素数值递增速度与覆盖位移函数中绝对坐标x、y相关。并提出一种改进的覆盖位移函数来改善在采用高阶覆盖位移函数情况下刚度矩阵的局部刚度过大的问题,以利于矩阵求解计算。最后通过算例验证了该方法是有效的。
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| 关 键 词： | 刚度矩阵 覆盖位移函数 数值流形方法 |
| 收稿时间： | 2009/1/13 0:00:00 |
Effects of cover displacement functions for the stiffness matrixof the numerical manifold method |
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| DENG An fu,ZHENG Bing and ZHOU Xiao yi.Effects of cover displacement functions for the stiffness matrixof the numerical manifold method[J].Journal of Chongqing University(Natural Science Edition),2009,32(7):829-833. |
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| Authors: | DENG An fu ZHENG Bing and ZHOU Xiao yi |
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| Institution: | College of Civil Engineering;Chongqing University;Chongqing 400030;P.R.China;2.Sichuan Institute of Geological Engineering Investigation;Chengdu 610072;P.R.China |
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| Abstract: | Based on basic theory of numerical manifold method,effects of cover displacement functions for the stiffness matrix is analyzed with the relationship between the cover displacement function and the formation of the stiffness matrix.The increasing speed of matrix element value has relation to the values of absolute coordinates in cover displacement function.An improved function is adopted for better solution to solve partial oversize problem of stiffness values in the stiffness matrix with the high-order cov... |
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| Keywords: | stiffness matrix cover displacement function numerical manifold method |
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