On a component mode synthesis on multi-level and its application to dynamics analysis of vehicle system supported with spring-stiffness damper system
- 297 Downloads
- 3 Citations
Abstract
The component mode synthesis (CMS) method on multi-level, called as recursive component mode synthesis (RCMS) method, is implemented for the free vibration analysis of a vehicle system supported on damper-controlled spring-stiffness suspension. The nonproportional damping is considered to describe the suspension system. The focus of the RCMS method is the out-of-core concept that uses disk space rather than memory when computing large scale vehicle FE models. After the eigensolutions are obtained, the mode superposition method is used to compute the dynamic response in the frequency domain. The proposed method can deal with a damped structural system with a general damping system. The performance and accuracy of the proposed method compared to the Lanczos method are demonstrated through an example FE model.
Keywords
NVH Component mode method Non-proportional damping Frequency response Out-of-core conceptPreview
Unable to display preview. Download preview PDF.
References
- [1]MD/MSC Nastran 2010, Numerical methods user’s guide, MSC.software cooperation, USA (2010).Google Scholar
- [2]Louis Komzik the Lanczos method: Evolution and application, SIAM (2003).Google Scholar
- [3]W. C. Hurty, Vibration of structural system by component mode synthesis, ACES Journal of the Engineering Mechanics Division (1960) 86, no. EM4, 51–69.Google Scholar
- [4]R. R. Craig and M. C. Bampton, Coupling of substructures for dynamic analysis, AIAA Journal, 6 (1968) 1313–1319.CrossRefMATHGoogle Scholar
- [5]L. Meirovitch and A. L. Hale, On the substructure synthesis method, AIAA Journal, 19 (1981) 940–947.CrossRefGoogle Scholar
- [6]I. Takewaki and K. Uetani, Inverse component-mode synthesis method for damped large structural systems, Computers & Structures (2000) 78(1–3) 415–423.CrossRefGoogle Scholar
- [7]Y. Aoyama and G. Yagawa, Component mode synthesis for large-scale structural eigenanalysis, Computers & Structures (2001) 79(6) 605–615.CrossRefGoogle Scholar
- [8]J. K. Bennighof, M. F. Kaplan, M. Kim, C. W. Kim and M. B. Muller, Implementing automated multi-level substructuring in nastran vibroacoustic analysis, Proc. of SAE Noise and Vibration Conference, SAE paper (2001) 01–1405.Google Scholar
- [9]K. Elssel and H. Voss, Multilevel extended algorithms in structural dynamics on parallel computers, Proc. of PARCO2003, Dresden, North-Holland (2004).Google Scholar
- [10]U. L. Hetmaniuk and R. B. Lehoucq, Multilevel methods for eigenspace computations in structural dynamics, Proc. of 16 th International Conference, Domain Decomposition Mehtods, New York, January (2005).Google Scholar
- [11]C. Yang, W. G. Gao, Z. Bai, X. Li, L. Lee, P. Husbands and E. G. Ng, An algebraic sub-structuring algorithm for large-scale eigenvalue calculation, SIAM J. Sci. Comp. 27(3) (2005) 873–892.CrossRefMATHMathSciNetGoogle Scholar
- [12]C. W. Kim, Analysis of vibration levels of large structural system with re-cursive component mode synthesis method: Theory and convergence, ProcInstn MEch Engrs Part C: J. of Mechanical Engineering Science, 220(9) (2006) 1339–1345.CrossRefGoogle Scholar
- [13]J. H. Ko, D. Byun and J. S. Han, An efficient numerical solution for frequency response function of micromechanical resonator arrays, The Journal of Mechanical Science and Technology, 23(10) (2009) 2694–2702.CrossRefGoogle Scholar
- [14]D. Choi, H. Kim and M. Cho, Iterative method for dynamic condensation combined with substructuring scheme, Journal of Sound and Vibration (2008) 317(1–2) 199–218.CrossRefGoogle Scholar
- [15]H. Kim and M. Cho, Improvement of reduction method combined with sub-domain scheme in large-scale problem, International Journal for Numerical Methods in Engineering (2006) 72(2) 206–251.Google Scholar
- [16]J. H. Ko and Z. Bai, High frequency response analysis via algebraic sub-structuring, International Journal of Numerical Method in Engineering, 76(3) (2008) 295–313.CrossRefMATHGoogle Scholar
- [17]C. W. Kim, Efficient modal frequency response analysis of large structures with structural Damping, AIAA Journal, Gatlinburg, Tennessee, 44(9) (2006) 2130–2133.CrossRefGoogle Scholar
- [18]L. Meirovitch, Principles and techniques of vibrations, Prentice Hall (1997).Google Scholar
- [19]C. W. Kim, Fast frequency response analysis of large-scale structures with non-proportional damping, International Journal for Numerical Methods in Engineering, 69(5) (2007) 978–992.CrossRefMATHGoogle Scholar
- [20]G. Karypis and V. Kumar, METIS: A software package for partitioning unstructured graph, partitioniing Meshes, and computing fill-reducing orderings of sparse matrices, version 4.0 University of Minnesota, MN, USA (1998).Google Scholar
- [21]MD/MSC Nastran 2010, Release Guide, MSC.software cooperation, USA (2010).Google Scholar