An iterative state-space component modal synthesis approach for damped systems

Abstract Efficiently calculating the high precision modal parameters and/or reduce-order model of large-scale and/or complicated damped structures are important in engineering applications such as optimal design, model modification and updating tasks. In this paper, an iterative procedure based state-space component modal synthesis method is developed to address the problem. The Kron’s substructuring method is modified into a state-space form first to include damping effects and the defectiveness of components and global system. Then an iterative scheme is developed to seek all desired complex eigen-pairs simultaneously in one round of iterations without complex operations. The consistency of the proposed method is proved and the convergency is briefly discussed for integrity. A detailed implementation is given for reference. Compared with other methods for solving modal parameters and/or model order reduction, the proposed method has such merits as high computational efficiency and still in a substructuring scheme. Numerical examples show that the proposed method can provide highly accurate results with low computational cost.