Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Sensitivity Analysis of Engine Mount System using FRF-based Substructuring Method

전달함수합성법을 이용한 엔진마운트계의 민감도 해석

  • Published : 2001.01.01
Download PDF
⟨ Previous Next ⟩

Abstract

A general procedure for the design sensitivity analysis of structural dynamic problems has been presented in frame of the FRF-based substructuring formulation. For a system response function, the proposed method gives a parametric design sensitivity formula in terms of the partial derivatives of the connection element properties and the transfer matrix of the subsystems. The derived design sensitivity formula is applied to an engine mount system. An interior noise problem in the passenger car is analyzed using the FRF-based substructuring method and the proposed formulation is adopted to study the response variations with respect to the dynamic characteristics of the engine mounts and the bushes. To obtain the FRFs, a finite element model is built for the engine mount structures, and test data is used for the trimmed body including cabin cavity. The comparison of sensitivities derived by the proposed method and the finite difference method shows that the proposed method is efficient and accurate. The proposed sensitivity analysis method indicates effectively the most sensitive location to the interior noise among the engine mounts and the bushes.

Keywords

References

  1. 長松昭男, 大態政明, 1991, 部分構造合成法, 培風館
  2. Huizinga, A. T. M. J. M., Campen, D. H. and Kraker, A., 1997, 'Application of Hybrid Frequency Domain Substructuring for Modeling and Automotive Engine Suspension,' J. of Vibration and Acoustics, Vol. 119, pp. 304-310
  3. Wyckaert, K., Brughmans, M., Zhang, C. and Dupont, R., 1997, 'Hybrid Substructuring for Vibro-Acoustical Optimisation: Application to Suspension Car Body Interaction,' SAE Paper No. 971-944
  4. Haug, E.J, Choi, K.K. and Komkov, V., 1986, Design Sensitivity Analysis of Structural Systems, Academic Press, New York
  5. Fox, R.L. and Kapoor, M.P., 1968, 'Rate of Change of Eigenvalues and Eigenvectors,' AIAA Journal, Vol.6, No. 12, pp. 2426-2429
  6. Nelson, R.B, 1976, 'Simplified Calculation of Eigenvector Derivatives,' AIAA Journal, Vol. 14, No. 9, pp. 1201-1205
  7. Akiyama, A., Asai, M., Sugita, H. and Hirsaka, N., 1993, 'Road Noise Reduction Using Transfer Function Synthesis Method,' SAE Paper No. 931325
  8. Lin, R.M. and Lim, M.K., 1997, 'Derivation of Structural Design Sensitivities from Vibration Test Data,' Journal of Sound and Vibration, 201(5), pp. 613-631 https://doi.org/10.1006/jsvi.1996.0836
  9. Santos, J.M.C. and Arruda, J.R.F., 1990, 'Finite Element Model Updating Using Frequency Response Functions and Component Mode Synthesis,' Proceedings of the International Modal Analysis Conference, pp. 1195-1201
  10. Heo, J.H. and Ehmann, K.F., 1991, 'A Method for Substructural Sensitivity Synthesis,' Journal of Vibration and Acoustics, Vol. 113, 201-208
  11. Lallemand, B., Level, P., Duveau, H. and Mahieux, B., 1999, 'Eigensolutions Sensitivity Analysis Using a Substructuring Method,' Computer & Structures, Vol. 71, pp. 257-265 https://doi.org/10.1016/S0045-7949(98)00231-4
  12. 지태한, 박영필, 1996, '부분구조 응답함수 감도법을 이용한 동적구조변경,' 대한기계학회논문집(A), 제 20 권 제 12 호, pp. 3782-3791
  13. Chang, K.-J., and Park, Y.-P., 1998, 'Substructural Dynamic Modification Using Component Receptance Sensitivity,' Mechanical Systems and Signal Processing, Vol. 12, No.4, pp. 525-541 https://doi.org/10.1006/mssp.1998.0184
  14. He, Jimin, 1993, 'Sensitivity Analysis and Error Matrix Method Using Measured Frequency Response Function (FRF) Data,' Proceedings of the International Modal Analysis Conference, pp. 1079-1082
  15. Ting, T., 1993, 'Design Sensitivity Analysis of Structural Frequency Response,' AIAA Journal, Vol. 31, No. 10, pp. 1965-1967
  16. Girard, A., Roy, N.A. and Bugeat, L.P., 1989, 'Sensitivity Analysis of Structural Frequency Response Functions,' Proceedings of the International Modal Analysis Conference, pp. 765-771
  17. Hagiwara, I. and Nagabuchi, K., 1986, 'Sensitivity Analysis for Structural Frequency Response Characteristics,' JSME Transactions(C), Vol. 54, No. 497
  18. Park, Y.H. and Park, Y., 1997, 'Vehicle Interior Noise and Vibration Reduction Using Experimental Structural Dynamics Modification,' SAE Paper No. 971915
  19. 황우석, 이두호, 2000, '전달함수를 이용한 차실 소음의 부분구조 해석,' 한국소음진동공학회지, 제 10 권 제 3 호, pp. 480-485