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提出了一种修正有限元模型的方法。将模型修正分为两步,首先用矩阵型方法求出系统质量、刚度矩阵的误差矩阵,通过定义的误差百分比确定建模误差位置;然后针对建模误差比较大的单元(子结构)依据特征方程和固有振型对质量矩阵的加权正交条件建立参数修正方程组,方程求解采用奇异值分解法。算例表明它能有效地避免先前方法中参数修正的盲目性,修改结果物理意义明确,精度较好。
A method to correct the finite element model is proposed. The model correction is divided into two steps. Firstly, the error matrix of system quality and stiffness matrix is obtained by matrix method, and the position of modeling error is determined by the defined percentage of error. Then, according to the feature (substructure) The equation and the eigenvalue are used to establish the parameter correction equations for the weighted orthogonal conditions of the mass matrix. The singular value decomposition method is used to solve the equation. The example shows that it can effectively avoid the blindness of the parameter correction in the previous method, the physical meaning of the modified result is clear and the accuracy is good.