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Application of FRF-Based Inverse Substructuring Analysis to Vehicle NVH Problems
ISSN: 0148-7191, e-ISSN: 2688-3627
Published May 05, 2003 by SAE International in United States
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A multi-coordinate FRF-based inverse substructuring approach is proposed to partition a vehicle system into two or more substructures, which are coupled at discrete interface points. The joint and free substructure dynamic characteristics are then extracted from the coupled system response spectra. Depending on the actual form of the structural coupling terms, three forms of the coupling matrix are assumed here. The most general one constitutes the non-diagonal form, and the other two simpler cases are the block-diagonal and purely diagonal representations that can be used to simplify testing process and overcome computational problems. The paper is focused on the investigation of the durability of these three formulations when the input FRFs are noise contaminated. A finite element model of a simplified vehicle system is used as the case study. In general, simulation results show that the non-diagonal and block-diagonal formulations are very sensitive to the input noise, while the purely diagonal formulation is much less noise sensitive. This is because the matrix inversion process involved in the non-diagonal and block-diagonal formulations cause the magnification of the input error. The singular value decomposition technique is then applied to address this problem. It turns out the performance of the non-diagonal and block-diagonal formulations can still be improved significantly when the input FRFs are heavily noise contaminated.
CitationLiu, L. and Lim, T., "Application of FRF-Based Inverse Substructuring Analysis to Vehicle NVH Problems," SAE Technical Paper 2003-01-1607, 2003, https://doi.org/10.4271/2003-01-1607.
SAE 2003 Transactions Journal of Passenger Cars - Mechanical Systems
Number: V112-6 ; Published: 2004-09-15
Number: V112-6 ; Published: 2004-09-15
- TSAI J. S. and CHOU Y. F. 1988 Journal of Sound and Vibration 125(3), 487-502. The identification of dynamic characteristics of a single bolt joint.
- WANG J. H. and LIOU C. M. 1990 Journal of Sound and Vibration 142(2), 261-277. Identification of parameters of structural joints by use of noise-contaminated FRFs.
- WANG J. H. and LIOU C. M. 1991 Journal of Vibration and acoustics 113, 28-36. Identification of parameters of structural joints by use of noise-contaminated FRFs.
- REN Y. and BEARDS C. F. 1995 Journal of Sound and Vibration 186(4), 567-587. Identification of joint properties of a structure using FRF data.
- RATCLIFFE M. J. and LIEVEN N. A. J. 2000 Mechanical System and Signal Processing 14(1), 3-28. A generic element-based method for joint identification.
- HONG S. W. and LEE C. W. 1991 Mechanical System and Signal Processing 5(4), 267-277. Identification of linearised joint structural parameters by combined use of measured and computed frequency responses.
- ZHEN J. 2000 Development Of A Spectral-Based Substructuring Technique For Modeling Vibratory Response Of Complex Vehicle Structures. Ph.D. Dissertation, University of Alabama.
- MacNeal-Schwendler Corp. 2000 MSC/NASTRAN User's Manual.
- EWINS D. J. 1984 Modal Testing: Theory and Practice. New York: Research Studies Press Ltd.
- JUANG J. N. and WRIGHT J. R. 1989 Proceeding of 9th International Modal Analysis Conference, Florence, Italy, 317-323. A multi-Point force appropriation method based upon a singular value decomposition approach.
- IBRAHIM S. R. 1989 Proceeding of 9th International Modal Analysis Conference, Florence, Italy, 307-312. The Condition of matrix inversion in modal analysis.
- LIM T. C. and STEYER G. C. 1992 Journal of Passenger Cars 101, 585-591. Hybrid experimental-analytical simulation of structure-borne noise and vibration problems in automotive systems.
- LIM T. C. and STEYER G. C. 1991 Proceedings of the 9th International Modal Analysis Conference, 902-908. An improved numerical procedure for the coupling of dynamic components using frequency response functions.
- LIM T. C. and STEYER G. C. 1992 Proceedings of the 10th International Modal Analysis Conference, San Diego, California, 1153-1158. System dynamics simulation based on structural modification analysis using response techniques.
- LIM T. C. and STEYER G. C. 1992 Proceedings of the SAE International Congress, Paper No. 920408, Detroit, Michigan. Hybrid experimental-analytical simulation of structure-borne noise and vibration problems in automotive systems.