An efficient transient analysis method for linear time-varying structures based on multi-level substructuring method

摘要

In this paper, the Newmark-beta method for linear time-varying (LTV) structures is firstly derived, then a transient analysis method for LTV structures based on multi-level substructuring method is presented. In theory the proposed method could achieve the same precision as the overall structure analysis method, the computational accuracy is not influenced by substructure partition strategy. The proposed method has higher computational efficiency than overall structure analysis method. Furthermore, the partial substructure tree traversal strategy can further improve the computational efficiency without any loss of accuracy. Some numerical examples are given to illustrate the effectiveness and feasibility of the proposed methods.