Model Order Reduction of Viscously Damped Vibration Systems Using Accelerated Iterative Dynamic Condensation

Abstract

An accelerated iterative dynamic condensation method for the model order reduction of vibration systems with viscous damping is proposed. A group of governing equations for dynamic condensation matrix are derived from the eigenvalue equations defined in the state space. Two iterative schemes for solving these governing equations are provided. Based on different state space formulations, two more groups of governing equations are developed. A comparison of the present method with three iterative approaches proposed recently is provided. The present approach is implemented into two practical vibration systems, a tall building with one tuned mass damper and a floating raft isolation system. The results show that the proposed method has much higher accuracy than the other three approaches while the computational effort is almost the same.