No Access

STRUCTURAL ACOUSTIC OPTIMIZATION USING THE COMPLEX METHOD

The George W. Woodruff School of Mechanical Engineering, The Georgia Institute of Technology, Atlanta, GA 30332-0405, USA

Search for more papers by this author

and

BRIAN S. DATER

Analysis and Design Applications Co., 60 Broadhollw Road, Melville NY, 11747, USA

Search for more papers by this author

https://doi.org/10.1142/S0218396X03001833Cited by:7 (Source: Crossref)

Abstract

An optimization program based on M. J. Box's Complex Method was implemented in a computational design tool for constrained optimization of acoustic environments produced by vibrating structures. The tool can treat interior and exterior environments, and can consider acoustic and structural excitations. The tool integrates finite element and boundary element methods to perform the requisite structural acoustic analyses. The new optimization component described in this paper contains unique additions to Box's original algorithm. The optimizer executes stand-alone, or can be used as a starting point generator for another optimizer, thus creating a hybrid algorithm. This paper describes the new optimizer's algorithm and the results of an example optimization to reduce the interior noise levels within an unstiffened cylindrical shell. Design variables were selected as the shell thicknesses, subject to upper and lower bounds. All analyses were performed at a single excitation frequency. The results demonstrate effective performance of the optimizer, and the potential to obtain significant noise level reductions though the use of other-than-uniform thickness distributions.

Keywords:

References

M. J. Box, Comp. J. 8(1), 42 (1965). Crossref, Web of Science, Google Scholar
K. A. Cunefare et al. , A tool for design minimization of aircraft interior noise , 2nd AIAA/CEAS Aeroacoustics Conf. ( 1996 ) . Google Scholar
S. P. Engelstadet al., Optimization strategies for minimum interior noise and weight using FEM/BEM, Proc. 1995 Int. Conf. Noise Control Engineering (1995) p. 1205. Google Scholar
S. P. Engelstad et al. , Stiffener shape design to minimize interior noise , 3rd AIAA/CEAS Aeroacoustics Conf. ( 1997 ) . Google Scholar
S. P. Craneet al., AIAA J. of Aircraft 34(2), 236 (1997), DOI: 10.2514/2.2162. Crossref, Web of Science, Google Scholar
S. L. Padula, "Progress in multidisciplinary design optimization at NASA Langley," presented at NASA Langley Research Center, No. NASA TM 107754 (1993) . Google Scholar
S. A. Hambric, "Formulation and methods for robust and efficient optimization of acoustic radiated noise problems," Carderock Division, Naval Surface Warfare Center, No. NSWCCDSSD-95-006 (1995) . Google Scholar
J. S. Lamancusa, Comp. and Struct. 48(4), 661 (1993), DOI: 10.1016/0045-7949(93)90260-K. Crossref, Web of Science, Google Scholar
J. Sobieszczanski-Sobieski, Int. J. Vehicle Design 7(3–4), 242 (1986). Web of Science, Google Scholar
J. Sobieszczanski-Sobieski, Optimization: Methods and Applications, Possibilities and Limitations, ed. H. W. Bergmann (Springer-Verlag, Berlin, Germany, 1989) pp. 42–62. Crossref, Google Scholar
G. N. Vanderplaats and F. Moses, Comp. Structures 3, 739 (1973), DOI: 10.1016/0045-7949(73)90055-2. Crossref, Google Scholar
G. N. Vanderplaats and F. Moses, "CONMIN-A FORTRAN program for constrained function minimization: User's manual," presented at NASA Ames Research Center, No. NASA TMX-62282 (1973) . Google Scholar
S. S. Rao , Engineering Optimization: Theory and Practice ( John Wiley and Sons Inc. , New York , 1996 ) . Google Scholar
S. P. Crane et al. , A comparison of optimization formulations for design minimization of aircraft interior noise , 37th AIAA Structural Dynamics and Mechanics Conf. ( 1996 ) . Google Scholar
G. V. Reklaitis , A. Ravindran and K. M. Ragsdell , Engineering Optimization: Methods and Applications ( John Wiley and Sons Inc. , New York , 1983 ) . Google Scholar
F. W. Grosveldet al., A numerical study of active structural acoustic control in a stiffened, double wall cylinder, Proc. NOISE-CON 94, National Conf. Noise Control Engineering (1994) p. 403. Google Scholar
K. A. Cunefare, V. Biesel and S. Engelstad, J. Acoust. Soc. Am. 97(5), 3339 (A) (1995). Crossref, Google Scholar