Topology design of multi-material soundproof structures including poroelastic media to minimize sound pressure levels

Computer Methods in Applied Mechanics and Engineering

Volumn 198, Issue 17-20, 2009, Pages 1439-1455

  Yamamoto, T ^a   Maruyama, S ^a   Nishiwaki, S ^b   Yoshimura, M ^b  

^a NISSAN MOTOR CO   (Japan)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

Poroelastic material; Sound pressure; Topology optimization

Indexed keywords

ACOUSTIC FIELDS; ACOUSTIC VARIABLES MEASUREMENT; ACOUSTIC WAVE TRANSMISSION; ELASTICITY; MATERIALS; SHAPE OPTIMIZATION; STRUCTURAL OPTIMIZATION; TOPOLOGY; ULTRASONICS;

ACOUSTIC CAVITIES; BIOT'S THEORIES; DAMPING MATERIALS; EIGEN-FREQUENCIES; ELASTIC MATERIALS; ELASTIC STRUCTURES; EXCITATION FREQUENCIES; FREQUENCY RANGES; INTERPOLATION SCHEMES; NEW MATERIALS; OPTIMIZATION METHODS; OPTIMIZATION PROBLEMS; PORO-ELASTIC MEDIAS; POROELASTIC MATERIAL; RADIATION EFFICIENCIES; SOUND PRESSURE; SOUND PRESSURE LEVELS; TARGET FREQUENCIES; TOPOLOGY DESIGNS; TOPOLOGY OPTIMIZATION; TOPOLOGY OPTIMIZATION METHODS; TWO-DIMENSIONAL;

STRUCTURAL DESIGN;

EID: 62249184459     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.12.008     Document Type: Article

References (35)

1. Bendsøe M.P., and Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Comput. Method Appl. Mech. Engrg. 71 (1988) 197-224
2. Bendsøe M.P., and Sigmund O. Topology Optimization - Theory, Methods, and Applications (2003), Springer
3. Eschenauer H.A., and Olhoff N. Topology optimization of continuum structures: a review. Appl. Mech. Rev. 54 (2001) 331-390
4. Díaz A.R., and Kikuchi N. Solutions to shape and topology eigenvalue optimization problems using a homogenization method. Int. J. Numer. Method Engrg. 35 (1992) 1487-1502
5. Ma Z.D., Kikuchi N., and Cheng H.C. Topological design for vibrating structures. Comput. Method Appl. Mech. Engrg. 121 (1995) 259-280
6. Du J., and Olhoff N. Minimization of sound radiation from vibrating bi-material structures using topology optimization. Struct. Multidiscip. Optimiz. 33 (2007) 305-321
7. Yoon G.H., Jensen J.S., and Sigmund O. Topology optimization of acoustic-structure interaction problems using a mixed finite element formulation. Int. J. Numer. Method Engrg. 70 (2006) 1049-1075
8. M.B. Dühring, Topology optimization for acoustic problems, in: IUTAM Symposium on Toplogical Design Optimization of Structures, Machines and Materials, vol. 137, 2006, pp. 375-385.
9. Wadbro E., and Berggren M. Topology optimization of an acoustic horn. Comput. Method Appl. Mech. Engrg. 196 (2006) 420-436
10. Tanneau O., Casimir J.B., and Lamary P. Optimization of multilayered panels with poroelastic components for an acoustical transmission objective. J. Acoust. Soc. Am. 120 (2006) 1227-1238
11. Lee J.S., Kim E.I., Kim Y.Y., Kim J.S., and Kang Y.J. Optimal poroelastic layer sequencing for sound transmission loss maximization by topology optimization method. J. Acoust. Soc. Am. 122 (2007) 2097-2106
12. Lee J.S., Kim Y.Y., Kim J.S., and Kang Y.J. Two-dimensional poroelastic acoustical foam shape design for absorption coefficient maximization by topology optimization method. J. Acoust. Soc. Am. 123 (2008) 2094-2106
13. Biot M.A. Theory of propagation of elastic waves in a fluid-saturated porous solid. I: Low-frequency range. J. Acoust. Soc. Am. 28 (1956) 168-178
14. Johnson D.L., Koplik J., and Dashen R. Theory of dynamic permeability and tortuosity in fluid-saturated porous media. J. Fluid Mech. 176 (1987) 379-402
15. Stinson M.R. The propagation of plane sound wave in narrow and wide circular tubes, and generalization to uniform tubes of arbitrary cross-sectional shape. J. Acoust. Soc. Am. 89 (1991) 550-558
16. Champoux Y., and Allard J.F. Dynamic tortuosity and bulk modulus in air-saturated porous media. J. Appl. Phys. 70 (1991) 1975-1979
17. Kang Y.J., and Bolton J.S. Finite element modeling of isotropic elastic porous materials coupled with acoustical finite elements. J. Acoust. Soc. Am. 98 (1995) 635-643
18. Easwaran V., Lauriks W., and Coyette J.P. Displacement-based finite element method for guided wave propagation problems: application to poroelastic media. J. Acoust. Soc. Am. 100 (1996) 2989-3002
19. Atalla N., Panneton R., and Debergue P. A mixed displacement-pressure formulation for poroelastic materials. J. Acoust. Soc. Am. 104 (1998) 1444-1452
20. Atalla N., Hamdi M.A., and Panneton R. Enhanced weak integral formulation for the mixed (u, p) poroelastic equations. J. Acoust. Soc. Am. 109 (2001) 3065-3068
21. C.Y. Glandier, T. Yamamoto, R. Lehmann, Y. Kamada, Vibro-acoustic FEA modeling of two layer trim systems, SAE Paper 2005-1-2325.
22. Allard J.F. Propagation of Sound in Porous Media (1993), Elsevier Applied Science
23. Biot M.A., and Willis D.G. The elastic coefficients of the theory of consolidation. J. Appl. Mech. 24 (1957) 594-601
24. Hashin Z., and Shtrikman S. A variational approach to the theory of the elastic behaviour of multiphase materials. J. Mech. Phys. Solid 11 (1963) 127-140
25. Bendsøe M.P. Optimal shape design as a material distribution problem. Struct. Optimiz. 1 (1989) 193-202
26. Bendsøe M.P., and Sigmund O. Material interpolation schemes in topology optimization. Arch. Appl. Mech. 69 (1999) 635-654
27. Pedersen N.L. Maximization of eigenvalues using topology optimization. Struct. Multidiscip. Optimiz. 20 (2000) 2-11
28. O. Sigmund, J.S. Jensen, Design of acoustic devices by topology optimization, in: Proceedings of Fifth World Congress on Structural and Multidisciplinary Optimization (WCSMO 5), 2003, pp. 267-268.
29. Borrvall T., and Petersson J. Topology optimization using regularized intermediate density control. Comput. Method Appl. Mech. Engrg. 190 (2001) 4911-4928
30. Sigmund O., and Petersson J. Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Struct. Optimiz. 16 (1998) 68-75
31. Haber R.B., Jog C.S., and Bendsøe M.P. A new approach to variable-topology shape design using a constraint on perimeter. Struct. Optimiz. 11 (1996) 1-12
32. Niordson F. Optimal design of elastic plates with a constraint on the slope of the thickness function. Int. J. Solid Struct. 19 (1983) 141-151
33. Matsui K., and Terada K. Continuous approximation of material distribution for topology optimization. Int. J. Numer. Method Engrg. 59 (2004) 1925-1944
34. Rahmatalla S.F., and Swan C.C. A Q4/Q4 continuum structural topology optimization implementation. Struct. Multidiscip. Optimiz. 27 (2004) 130-135
35. Svanberg K. The method of moving asymptotes - a new method for structural optimization. Int. J. Numer. Method Engrg. 24 (1987) 359-373