Posteriori Error Estimation Method for Flexibility-Based Component Mode Synthesis

The objective of this paper is to develop a simple and robust error estimation method for the flexibility-based component mode synthesis method. The flexibility-based component mode synthesis method is known to provide reliable and improved performance compared to other component mode synthesis methods. However, it is not possible to estimate errors in finite element models reduced by the flexibility-based component mode synthesis method yet. In this study, an a posteriori method is developed to accurately estimate relative errors in individual eigenvalues approximated by the flexibility-based component mode synthesis method without knowing the exact eigenvalues. The excellent performance of this error estimation method is demonstrated through various numerical examples.