Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Sensitivity analysis of vibro-acoustic systems in statistical energy analysis framework

Abstract

The main objective of this paper is to present first and second-order sensitivity analysis of vibro-acoustic systems in the statistical energy analysis (SEA) frame work. Equations for computing these sensitivities for a general SEA model are obtained from two different approaches: (1) direct method and (2) adjoint method. The above equations are applied to a simple model of three plates, joined in the form of a ‘Z’, to minimize the total energy of one of the plates. It has been verified that these approaches lead to the same results and the difference between them is only with respect to the computational efficiency. The design sensitivity results calculated from the proposed analytical methods are compared with those obtained from the finite difference method, which show good agreement. The results of this paper can be useful to optimization of vibro-acoustic systems at the drawing board stage in the SEA framework.

This is a preview of subscription content, log in to check access.

References

  1. Borlase GB, Vlahopoulos N (2000) An energy finite element optimization process for reducing high-frequency vibration in large scale structures. Finite Elem Anal Des 36:51–67

  2. Burkewitz B, Cohen L, Baran F (1994) Application of large scale SEA model to s ship noise problem. NOISE-CON ’94:697–701

  3. Campbell B, Abrishan M, Stokes W (1993) Structural acoustic analysis for the prediction of vehicle body acoustic sensitivities. SAE Paper No. 93197

  4. Choi KK, Shim I, Wang S (1997) Design sensitivity analysis of structure-induced noise and vibration. J Vib Acoust 119:173–179

  5. Cremer L, Heckl M, Ungar E (1973) Structure-borne sound. Spring, Berlin

  6. Cunefare KA, Koopman GH (1992) Acoustic design sensitivity for structural radiators. J Vib Acoust 114:179–186

  7. DeJong RG (2002) Optimization of noise control designs using SEA. Proceedings of the Second International AutoSEA Users Conference, Detroit-Troy Marriot-Troy, Michigan, USA

  8. De Langhe K, Sas P (1996) Statistical energy analysis of the power injection method. J Acoust Soc Am 100(1):294–303

  9. Gibbs BM (1986) Mode coupling and energy partitions of sound in a system of plate junctions. J Sound Vib 104(1):127–136

  10. Hambric SA (1995) Approximate techniques for broadband acoustic radiated noise design optimization problems. J Vib Acoust 117:136–144

  11. Hambric SA (1996) Sensitivity calculations for broadband acoustic radiated noise design Optimization Problem. J Vib Acoust 118:529–532

  12. Jensen JO, Janssen JH (1977) Calculation of structure born noise transmission in ships using Statistical Energy Analysis approach. Proceedings in International Symposium on Ship Board Acoustic

  13. Kane JH, Mauo S, Everstine GC (1991) A boundary element formulation for acoustic shape sensitivity analysis. J Acoust Soc Am 90:561–573

  14. Kim NH, Dong J, Choi KK, Vlahopoulos N, Ma Z-D, Castanier M, Pierre C (2003) Design sensitivity analysis for sequential structural-acoustic problems. J Sound Vib 263:569–591

  15. Kim NH, Dong J, Choi KK (2004) Energy flow analysis and design sensitivity of structural problems at high frequencies. J Sound Vib 269:213–250

  16. Koo BU (1997) Shape design sensitivity analysis of acoustic problems using a boundary element method. Comput Struct 65:713–719

  17. Lu LKH (1987) Optimum damping selection by statistical energy analysis. Statistical energy Analysis Winter Annual Meeting, Boston, MA., pp 9–14

  18. Lyon RH, DeJong RG (1995) Theory and applications of statistical energy analysis, 2nd edn. Butterworth-Heinemann, London

  19. Miller VR, Faulkner LL (1983) Prediction of aircraft interior noise using the statistical energy analysis. J Vib Acoust Stress Reliab Des 105:512–518

  20. Qian Y, Vanbuskrik J, Gorzelski T (1999) Sound package weight reduction: an analysis through test and SEA models. Proceedings of the 1999 noise and vibration conference P-342, pp 375–380

  21. Radcliffe CJ, Huang XL (1997) Putting statistics into the statistical energy analysis of automotive vehicles. J Vib Acoust 119:629–634

  22. Rodrigo GA, Klein M, Borello G (1994) Vibro-acoustic analysis of manned spacecraft using SEA. NOISE-CON’94

  23. Salagame RR, Belegundu AD, Koopman GH (1995) Analytical sensitivity of acoustic power radiated from plates. J Vib Acoust 117:43–48

  24. Scarpa F (2000) Parametric sensitivity analysis of coupled acoustic-structural systems. J Vib Acoust 122:109–115

  25. Simmons C (1991) Structure-borne sound transmission through plate junctions and estimates of SEA coupling loss factors using the finite element method. J Sound Vib 144(2):215–227

  26. Smith DC, Bernhard RJ (1992) Computation of acoustic shape design sensitivity using boundary element method. J Vib Acoust 114:127–132

  27. Steel JA (1996) The prediction of structural vibration transmission through a motor vehicle using statistical energy analysis. J Vib Acoust 197:691–703

  28. Walsh SJ, Simpson G, Lalor N (1990) A computer system to predict internal noise in motor cars using statistical energy analysis. Proceedings of Inter-noise 90, Gothenburg, Sweeden, pp 961–964

  29. Wang S, Choi KK, Kulkarni H (1994) Acoustical optimization of vehicle passenger space. SAE Paper No. 941075

Download references

Author information

Correspondence to D. N. Manik.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Chavan, A.T., Manik, D.N. Sensitivity analysis of vibro-acoustic systems in statistical energy analysis framework. Struct Multidisc Optim 40, 283 (2010). https://doi.org/10.1007/s00158-009-0362-8

Download citation

Keywords

  • Statistical energy analysis
  • Optimization
  • First and second-order sensitivity