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TECHNICAL PAPERS

Optimal Stiffener Design for Interior Sound Reduction Using a Topology Optimization Based Approach

[+] Author and Article Information
Jianhui Luo, Hae Chang Gea

Department of Mechanical and Aerospace Engineering, Rutgers, The State University of New Jersey, Piscataway, NJ 08855

J. Vib. Acoust 125(3), 267-273 (Jun 18, 2003) (7 pages) doi:10.1115/1.1569512 History: Received June 01, 1997; Revised October 01, 2002; Online June 18, 2003
Copyright © 2003 by ASME
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References

Hagiwara,  W., Kozukue,  W., and Ma,  Z. D., 1993, “The Development of Eigenmode Sensitivity Analysis Methods for Coupled Acoustic-Structural Systems and Their Application to Reduction of Vehicle Interior Noise,” Finite Elem. Anal. Design, 14, pp. 235–248.
Huff, J. E., Jr., and Bernhard, R. J., 1995, “Acoustic Shape Optimization Using Parametric Finite Elements,” ASME 1995 Design Engineering Technical Conferences, DE-Vol. 84-2, pp. 577–584.
Wodtke, H. W., and Koopmann, G. H., 1995, “Quieting Plate Modes with Optimally sized Point Masses—A Volume Velocity Approach,” ASME 1995 Design Engineering Technical Conferences, DE-Vol. 84-2, pp. 647–654.
Constans, E., and Belegundu, A., 1996, “Minimizing Radiated Sound Power from Vibrating Shells,” The 6th AIAA/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Bellevue, WA, Paper 96-4111, pp. 1106–1116.
Luo,  J. H., and Gea,  H. C., 1997, “Modal Sensitivity Analysis of Coupled Acoustic-Structural Systems,” J. Sound Vib., 119, pp. 545–550.
Gea,  H., 1996, “Topology Optimization: A New Micro-Structure Based Design Domain Method,” Comput. Struct., 61(5), pp. 781–788.
Chickermane,  H., and Gea,  H. C., 1996, “A New Local Function Approximation Method for Structural Optimization Problems,” Int. J. Numer. Methods Eng., 39, pp. 829–846.
Craggs,  A., 1971, “The Transient Response of a Coupled Plate-Acoustic System Using Plate and Acoustic Finite Elements,” J. Sound Vib., 15, pp. 509–528.
Diaz,  A. R., and Kikuchi,  N., 1992, “Solutions to Shape and Topology Eigenvalue Optimization Problems Using a Homogenization Method,” Int. J. Numer. Methods Eng., 35, pp. 1487–1502.
Bendsøe,  M. P., and Kikuchi,  N., 1988, “Generating Optimal Topologies in Structural Design Using A Homogenization Method,” Comput. Methods Appl. Mech. Eng., 71, pp. 197–224.

Figures

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A coupled acoustic-structural system
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A box under an excitation loading at the center of the top plate
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Iteration history of the objective function in case 1
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Optimal configuration of the stiffeners placement in case 1
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A box under an excitation loading at the center of the flank plate
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Iteration history of the objective function in case 2
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Optimal configuration of the stiffeners placement in case 2
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Iteration history of the objective function in case 3
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Optimal configuration of the stiffeners placement in case 3
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Interior SPL comparison between the initial design and the final design

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