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non-linear structural analysis computing devices, non-linear structural analysis calculation method and non-linear structural analysis calculation program

机译:非线性结构分析计算装置,非线性结构分析计算方法和非线性结构分析计算程序

摘要

PROBLEM TO BE SOLVED: To provide a non-linear structure analysis calculation device, a non-linear structure analysis calculation method and a non-linear structure analysis calculation program, for efficiently calculating analysis of a non-linear structure.SOLUTION: A control section 21 of a behavior analysis device 20 executes LU decomposition processing for each of block diagonal matrices obtained by removing edges from block diagonal matrices with edges, on the outside of a loop of a time step to calculate a lower triangular matrix and an upper triangular matrix. The control section 21 executes processing for generating the matrix corresponding to the edge satisfying a contact condition when there is a contact in the loop of the time step. The control section 21 identifies factors land uobtained by the LU decomposition of the generated matrix corresponding to the edge, and combines the factors with the lower triangular matrix and the upper triangular matrix, respectively, to generate the matrices to be processed. The control section 21 repeatedly calculates a velocity correction amount from the matrices to be processed by using forward substitution and backward substitution to update displacement {U}, velocity {V} and acceleration {A}, to thereby calculate displacement {U}, velocity {V} and acceleration {A} of the time step.
机译:解决的问题:提供一种非线性结构分析计算装置,一种非线性结构分析计算方法和一种非线性结构分析计算程序,以有效地计算非线性结构的分析。解决方案:控制部分行为分析装置20的图21中的每个在时间步长的循环外部对通过从具有边缘的块对角矩阵中去除边缘而获得的每个块对角矩阵执行LU分解处理,以计算下三角矩阵和上三角矩阵。当在时间步长的循环中存在接触时,控制部分21执行用于生成与满足接触条件的边缘相对应的矩阵的处理。控制部分21识别由于与边缘相对应的所生成的矩阵的LU分解而产生的因子land,并且将这些因子分别与下三角矩阵和上三角矩阵组合,以生成要处理的矩阵。控制部分21通过使用前向代换和后向代换以更新位移{U},速度{V}和加速度{A},从待处理的矩阵重复计算速度校正量,从而计算位移{U},速度{ V}和加速度{A}的时间步长。

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