A simplified error estimator for the CB method and its application to error control. (February 2016)

• Record Type: Journal Article
• Authors: Boo, Seung-Hwan; Kim, Jin-Gyun; Lee, Phill-Seung
• Is Part Of: Computers & structures. Volume 164(2016)
• Page Start: 53
• Page End: 62
• Publication Date: 2016-02
• Subjects: Structural dynamics -- Finite element method -- Model reduction -- Component mode synthesis -- Craig–Bampton method -- Error estimation; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2015.11.003
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: We propose a simplified error estimator for the Craig–Bampton method. Computational cost is significantly reduced with negligible accuracy loss. The contribution of a specific substructure to an eigenvalue error can be estimated. The computational efficiency and an error control strategy are demonstrated. Abstract: In this paper, we simplify the error estimation technique developed for the Craig–Bampton (CB) method (Kim et al., 2014). The original formulation is simplified by neglecting insignificant terms, a new error estimator is obtained, and thus computational cost is significantly reduced with negligible accuracy loss. In addition, the contribution of a specific substructure to a relative eigenvalue error can be estimated using the new formulation, in which the estimated relative eigenvalue error is represented by a simple summation of the substructural errors estimated. Therefore, the new formulation can be employed for error control by using the detailed errors estimated for a certain substructure. Through various numerical examples, we verify the accuracy and computational efficiency of the new formulation, and demonstrate an error control strategy.