An iterative scheme of flexibility-based component mode synthesis with higher-order residual modal compensation

An Iterative Flexibility-based Component Mode Synthesis (IF-CMS) is presented for the model reduction of partitioned structural dynamic systems via localized Lagrange multipliers. A distinct IF-CMS feature is the inclusion of hierarchical residual flexibility at each iteration, resulting in considerably improved accuracy compared with the classical Craig–Bampton (CB) CMS method. The present IF-CMS method does not increase the number of substructural modes during the hierarchical iteration process. In particular, to alleviate ill-conditioning during the iteration steps, the proposed IF-CMS method adopts the so-called (q_d, (Formula presented.), u_b)-formulation by condensing Lagrange multipliers from the original F-CMS method. The performance of the proposed method is evaluated through numerical examples, which illustrates improved accuracy over existing CMS methods.