Abstract
A parametric reduced-order model (PROM) was developed by using a free-interface coupling method. For dynamic substructuring, the accuracy of the free-interface assembly is generally higher than that of the fixed interface one in a low frequency range, since it considers free-interface normal modes and rigid-body modes of each substructures. Therefore, by using the free-interface coupling method, we can enhance the accuracy of the PROM developed previously, in particular, the one formulated with a primal assembly. One important characteristic to retain the efficiency of PROM in the free-interface assembly is that the interpolation of substructural modes should be discriminated considering the characteristics of the modes. In the present work, we newly suggest a strategy for interpolating free-interface mode according to the change of parameter values. To verify the accuracy of the proposed PROM, we investigated the accuracy of the eigenvalues with a high-dimensional parametric input space.
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References
A. C. Antoulas, Approximation of large–scale dynamical systems, SIAM, Texas, USA (2005).
T. Bui–Thanh, K. Willcox and O. Ghattas, Model reduction for large–scale systems with high–dimensional parametric in–put space, SIAM Journal on Scientific Computing, 30 (6) (2008) 3270–3288.
D. Amsallem and C. Farhat, Interpolation method for adapting reduced–order models and application to aeroelasticity, AIAA Journal, 46 (7) (2008) 1803–1813.
D. Amsallem, J. Cortial, K. Carlberg and C. Farhat, A method for interpolating on manifolds structural dynamics reduced–order models, International Journal for Numerical Methods in Engineering, 80 (9) (2009) 1241–1258.
D. Amsallem and C. Farhat, An online method for interpolating linear parametric reduced–order models, SIAM Journal on Scientific Computing, 33 (5) (2011) 2169–2198.
D. Amsallem, J. Cortial and C. Farhat, Towards real–time computational–fluid–dynamics–based aeroelastic computations using a database of reduced–order information, AIAA Journal, 48 (9) (2010) 2029–2037.
J. Lee and M. Cho, An interpolation–based parametric reduced order model combined with component mode synthesis, Computer Methods in Applied Mechanics and Engineering, 319 (2017) 258–286.
R. H. MacNeal, A hybrid method of component mode synthesis, Computers & Structures, 1 (4) (1971) 581–601.
S. Rubin, Improved component–mode representation for structural dynamic analysis, AIAA Journal, 13 (8) (1975) 995–1006.
D. J. Rixen, A dual Craig–Bampton method for dynamic substructuring, Journal of Computational and Applied Mathematics, 168 (1) (2004) 383–391.
K. C. Park and Y. H. Park, Partitioned component mode synthesis via a flexibility approach, AIAA Journal, 42 (6) (2004) 1236–1245.
S. Tayebl and D. Givoli, Optimal modal reduction of dynamic subsystems: Extensions and improvements, International Journal for Numerical Methods in Engineering, 85 (2011) 1–30.
S. Lee, H. Mok and C. W. Kim, On a component mode synthesis on multi–level and its application to dynamics analysis of vehicle system supported with spring–stiffness damper system, J. of Mechanical Science and Technology, 25 (12) (2011) 3115–3121.
Z. Cao, Q. Fei, D. Jiang and S. Wu, Substructure–based model updating using residual flexibility mixed–boundary method, J. of Mechanical Science and Technology, 31 (2) (2017) 759–769.
Y. Zuo and J. Wang, A component mode synthesis method for 3–D finite element models of aero–engines, J. of Mechanical Science and Technology, 29 (12) (2015) 5157–5166.
R. Scheepers and P. S. Heyns, A comparative study of finite element methodologies for the prediction of torsional response of bladed rotors, J. of Mechanical Science and Technology, 30 (9) (2016) 4063–4074.
F. M. Gruber, T. L. Bürchner and D. J. Rixen, Dual craigbampton method with reduction of interface coordinates, dynamics of coupled structures, Proceedings of the 35th IMAC, A Conference and Exposition on Structural Dynamics 2017, Springer, 4 (2017) 143–163.
G. H. Golub and C. F. Van Loan, Matrix computations. Fourth Ed., The Johns Hopkins University Press, Baltimore, USA (2012).
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Recommended by Associate Editor Seunghwa Yang
Jaehun Lee is an Assistant Professor at Kyungnam University, Changwon, Korea, since 2015. His Ph.D. in Mechanical and Aerospace Engineering is from Seoul National University in 2015. His major research fields are computational mechanics of solids and structures, in particular, parametric reduced-order modeling for large-scale systems, and analysis and design of laminated composites.
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Lee, J. A dynamic substructuring-based parametric reduced-order model considering the interpolation of free-interface substructural modes. J Mech Sci Technol 32, 5831–5838 (2018). https://doi.org/10.1007/s12206-018-1131-7
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DOI: https://doi.org/10.1007/s12206-018-1131-7