一种利用子结构综合技术的模型修正方法

摘要

A model updating technique based on improved free-interface component mode synthesis was proposed. By constructing weighted-orthogonal vector sets which have weighted-orthogonal relationship with the lower retained modes,it is easier to obtain the residual flexibility attachment matrix.Each of the components was analyzed by perturbation method.Then the modal equation and the sensitivity equation of whole system were derived by using the component mode synthesis method.The model updating method based on sensitivity analysis proposed in the paper greatly reduces the model scale and improves the computational efficiency.The application of the proposed model updating method in a wing model calculation demonstrates that the presented method is effective.%提出了基于改进自由界面子结构模态综合法的结构模型修正方法。首先给出了一种改进的自由界面子结构模态综合法，该方法通过构造一组与系统低阶模态加权正交的向量集，有效地解决了含有刚体模态时系统剩余柔度矩阵的求解问题。然后利用摄动法对每个子结构进行摄动，并计算灵敏度，通过子结构综合技术得到由摄动量表示的综合系统方程和灵敏度方程，给出了基于灵敏度分析的修正计算方法。该方法仅需对综合方程进行修正，极大的减缩了待修正问题的计算规模，提高了修正效率。最后，以典型数值算例验证了该方法的有效性。