Topology optimization of vibrating bi-material structures with respect to sound radiation

Solid Mechanics and its Applications

Volumn 137, Issue , 2006, Pages 43-52

  Olhoff, Niels ^a   Du, Jianbin ^a  

^a AALBORG UNIVERSITY   (Denmark)

Author keywords

Bi material structures; Sound power radiation; Structural acoustical analysis; Time harmonic loading; Topology design

Indexed keywords

BOUNDARY CONDITIONS; COUPLINGS; INTEGRAL EQUATIONS; SHAPE OPTIMIZATION; STRUCTURAL DYNAMICS; TOPOLOGY; VIBRATIONS (MECHANICAL);

ACOUSTICAL ANALYSIS; BI-MATERIAL STRUCTURES; SOUND POWER RADIATIONS; TIME-HARMONIC LOADINGS; TOPOLOGY DESIGN;

STRUCTURAL OPTIMIZATION;

EID: 56449124843     PISSN: 18753507     EISSN: None     Source Type: Book Series    
DOI: 10.1007/1-4020-4752-5_5     Document Type: Conference Paper

References (21)

1. Bendsøe, M.P. and Kikuchi, N., Generating optimal topologies in structural design using a homogenization method, Comput.Methods Appl.Mech. Engrg., 71(2), 197-224 (1988).
2. Bendsøe, M.P., Optimal shape design as a material distribution problem, Struct. Optim., 1, 193-202 (1989).
3. Bendsøe, M.P. and Sigmund, O., Topology Optimization: Theory, Methods and Applications, Springer, Berlin (2003).
4. Eschenauer, H. and Olhoff, N., Topology optimization of continuum structures: A review, Appl. Mech. Rev., 54(4), 331-389 (2001). (Pubitemid 33715638)
5. Diaz, A.R. and Kikuchi, N., Solutions to shape and topology eigenvalue of optimization problems using a homogenization method, Int. J. Num. Mech. Engrg., 25, 1487-1502 (1992).
6. Krog, L.A. and Olhoff, N., Optimum topology and reinforcement design of disk and plate structures with multiple stiffness and eigenfrequency objectives, Computers &Structures, 72, 535-563 (1999).
7. Sigmund, O. and Jensen, J.S., Systematic design of phononic band-gap materials and structures by topology optimization, Philosophical Transactions of the Royal Society London, Series A (Mathematical, Physical and Engineering Sciences), 361, 1001-1019 (2003). (Pubitemid 37260952)
8. Jensen, J.S. and Pedersen, N.L., On maximal eigenfrequency separation in two-material structures: The 1D and 2D scalar cases, J. Sound and Vibration, 289, 967-986 (2006).
9. Olhoff, N. and Du, J., Topology optimization of structures against vibration and noise, in Proceedings of the 12th International Congress on Sound and Vibration ICSV12, Lisbon, Portugal 20 pp. (2005).
10. Ma, Z.D., Kikuchi, N. and Cheng, H.C., Topological design for vibrating structures, Comput. Methods Appl. Mech. Engrg., 121, 259-280 (1995).
11. Min, S., Kikuchi, N., Park, Y.C., Kim, S. and Chang, S., Optimal topology design of structures under dynamic loads, Struct. Optim., 17, 208-218 (1999).
12. Jog, C.S., Topology design of structures subjected to periodic loading, J. Sound and Vibration, 253(3), 687-709 (2002). (Pubitemid 35262934)
13. Jensen, J.S., Phononic band gaps and vibrations in one- and two-dimensional mass-spring structures, J. Sound and Vibration, 266, 1053-1078 (2003).
14. Christensen, S.T., Sorokin, S.V. and Olhoff, N., On analysis and optimization in structural acoustics - Part I: Problem formulation and solution techniques, Struct. Optim., 16, 83-95 (1998). (Pubitemid 128647654)
15. Herrin, D.W.,Martinus, F.,Wu, T.W. and Seybert, A.F., A new look at the high frequency boundary element and Rayleigh integral approximations, Society of Automotive Engineers, Inc. (2003).
16. Lax, M. and Feshbach, H., On the radiation problem at high frequencies, Journal of the Acoustical Society of America, 19, 682-690 (1947).
17. Sorokin, S.V., Private communication (2005).
18. Svanberg, K., The method of moving asymptotes - A new method for structural optimization, Int. J. Numer. Meth. Engrg., 24, 359-373 (1987). (Pubitemid 17525942)
19. Bendsøe, M.P. and Sigmund, O., Material interpolation schemes in topology optimization, Arch. Appl. Mech., 69, 635-654 (1999). (Pubitemid 129588526)
20. Rozvany, G., Zhou, M. and Birker, T., Generalized shape optimization without homogenization, Struct. Optim., 4, 250-252 (1992).
21. Pedersen, N.L., Maximization of eigenvalues using topology optimization, Struct. Multidisc Optim., 20, 2-11 (2000).