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An Enhancement of the Computational Efficiency of Parametric Component Mode Synthesis Within Limited Parameter Domains Using Conventional Interpolations

Abstract

This paper presents the usages of conventional interpolation functions for interpolation-based parametric component mode synthesis (IB-PCMS) method within limited parameter domains. One of the representatives of reduced-order models (ROM) is the one using the offline-online strategy, which constructs multiple ROMs at given sampling points in the offline stage and manipulates them to derive a ROM at the new query point in the online stage efficiently via, for example, using the interpolation of the constructed ROMs. For such a process in the online stage, manifold interpolations, congruence transformations, and the mode exclusion steps are required to guarantee the accuracy and the robustness of the ROM, which complexifies computational procedures in the offline stage. For the cases where the design parameters do not change dramatically due to the limited domain of interest, and as a result, if the ROM does not experience any mode veering phenomena, simple interpolations can guarantee accurate solutions. The validities of using conventional interpolations are investigated for a numerical example providing the assessments of the accuracy for representative interpolation functions.

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Acknowledgements

The work was supported by National Research Foundation of Korea, 2022 (NRF_2020R1C1C1011970).

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Correspondence to Jaehun Lee.

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Lee, J. An Enhancement of the Computational Efficiency of Parametric Component Mode Synthesis Within Limited Parameter Domains Using Conventional Interpolations. Multiscale Sci. Eng. 4, 66–72 (2022). https://doi.org/10.1007/s42493-022-00078-9

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  • DOI: https://doi.org/10.1007/s42493-022-00078-9

Keywords

  • Reduced-order modeling
  • Interpolation
  • Congruence transformation
  • Dynamic substructuring
  • Parametric study