On the model reduction methods with free-interface substructuring for dynamic analysis

Abstract

In response to the large and complex finite element models in practical engineering, the needs for studies on model reduction methods have been highlighted. Since 1960s, the model reduction methods have been actively studied for various problems such as computational efficiency of the reduction process, improvement of the accuracy of the reduction model. In this dissertation, the effective model reduction methods are proposed. The developed methods divide the entire finite element model into several substructures and consider the free-interface between neighboring substructures. In particular, the new component mode synthesis (CMS) method is provided by improving the accuracy of dual Craig-Bampton (DCB) method. The error estimation method for the DCB method is also proposed. For the degree of freedom based reduction method, the new dynamic condensation method with fully decoupled substructuring is proposed. Through the various numerical problems, the solution accuracy and computational efficiency of the present methods are demonstrated.