Abstract
A simultaneous iterative procedure for the fixed-interface component modal synthesis (CMS) method is developed in this paper toward fast calculating the modal parameters and ROM of a large-scale and/or complicated structure. Different from existing iterative fixed-interface CMS methods, in the proposed iterative scheme, an eigenvalue independent matrix, whose columns’ projections in the exact reduced space are the global eigenvectors of interest, is chosen as the iterative term and then used as a Ritz basis to generate reduced system matrices. Consequently, all the required modes can be solved simultaneously and a ROM can be derived after one round of iterations. For reference, an implementation is given together with computational considerations. Compared with other methods for solving modal parameters and/or model order reduction, the proposed method has such merits as high computational efficiency, especially for reanalysis tasks and parallel programming. A numerical example is provided to illustrate and validate the proposed method.
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Notes
- 1.
Throughout this paper, matrices, column vectors, variables and functions and scripts are denoted by bold, bold and italic, italic and roman letters, respectively.
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This work is sponsored by the National Nature Science Foundation of China (Grant Numbers: 11272172 and 11072121).
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Cui, J., Xing, J., Wang, X., Wang, Y., Zhu, S., Zheng, G. (2017). A Simultaneous Iterative Scheme for the Craig-Bampton Reduction Based Substructuring. In: Allen, M., Mayes, R., Rixen, D. (eds) Dynamics of Coupled Structures, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54930-9_10
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