Abstract
A general approach for minimizing radiated acoustic power of a baffled plate excited by broad band harmonic excitation is given. The steps involve a finite element discretization for expressing acoustic power and vibration analysis, analytical design sensitivity analysis, and the use of gradient-based optimization algorithms. Acoustic power expressions are derived from the Rayleigh integral for plates. A general methodology is developed for computing design sensitivities using analytical expressions. Results show that analytical sensitivity analysis is important from both computational time and accuracy considerations. Applications of the optimization strategy to rectangular plates and an engine cover plate are presented. Thicknesses are chosen as design variables.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bernhard, R.J. 1985: A finite element method for synthesis of acoustical shapes.J. Sound & Vib. 98, 55–65
Chandrupatla, T.R.; Belegundu, A.D. 1991:Introduction to finite elements in engineering. Englewood Cliffs, NJ: Prentice-Hall
Cunefare, K.A.; Koopmann, G.H. 1992: Acoustic design sensitivity for structural radiators.ASME J. Vibration & Acoustics 114, 178–186
Ewins, D.J. 1984:Modal testing theory and practice. Letchworth, Hertfordshire: Research Studies Press; New York: Wiley
Fox, R.L; Kapoor, M.P. 1968: Rates of change of eigenvalues and eigenvectors.AIAA J. 6, 2426–2429
Hughes, T.J.R. 1987:The finite element method — linear static and dynamic finite element analysis. Englewood Cliffs, NJ: Prentice-Hall
Lalor, N. 1979: Computer optimised design of engine structures for low noise.SAE Paper 790364
Lamancusa, J.S. 1988: Geometric optimization of internal combustion engine induction systems for minimum noise transmission.J. Sound & Vib. 127, 303–318
Lamancusa, J.S. 1993: Numerical optimization techniques for structural-acoustic design of rectangular panels.Comp. & Struct. 48, 661–675
Lang, M.A.; Dym, C.L. 1974: Optimal acoustic design of sandwich panels.J. Acous. Soc. Am. 57, 1481–1487.
Naghshineh, K.; Koopmann, G.H.; Belegundu, A.D. 1992: Material tailoring of structures to achieve a minimum radiation condition.J. Acous. Soc. Am. 92, 841–855
Nelson, R.B. 1976: Simplified calculation of eigenvalue derivatives.AIAA J. 14, 1201–1205
Ojalvo, I.V. 1987: Efficient computation of mode shape derivatives for large dynamic systems.AIAA J. 25, 1386–1390
Rudisill, C.S. 1974: Derivatives of eigenvalues and eigenvectors.AIAA J. 12, 721–722
Salagame, R.; Belegundu, A.D.; Koopmann, G.H. 1994: Analytical sensitivity of acoustic power radiated from plates.J. Vib. & Acoustics, Trans. ASME (to be published)
Sivakumar, J.; Shung, S.H.; Nefske, D.J. 1991: Noise reduction of engine component covers using the finite element method.ASME Structural Vibration & Acoustics, DE-Vol.34, 133–137
Smith, D.C.; Bernhard, R.J. 1989: Computation of acoustic shape design sensitivity using a boundary element method. In: Bernhard, R.J.; Keltie, R.F. (eds.)Numerical techniques in acoustic radiation, NCA-Vol. 6, pp. 109–116. New York: ASME
Wilcox, C.; Lalor, N. 1987: Reducing the noise of an engine by changing its shape.ISATA Paper 87173, 17th Int. Symp. Automotive Technology & Automation
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Belegundu, A.D., Salagame, R.R. & Koopmann, G.H. A general optimization strategy for sound power minimization. Structural Optimization 8, 113–119 (1994). https://doi.org/10.1007/BF01743306
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01743306