交通部西部交通建设科技资助项目(200231800026)
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。
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 highorder cover displacement function. The validity of the proposed approach is approved with case study.
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,2009,32(7):829-833.
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