Topology optimization of structures against vibration and noise

12th International Congress on Sound and Vibration 2005, ICSV 2005

Volumn 1, Issue , 2005, Pages 81-100

  Olhoff, Niels ^a   Du, Jianbin ^a  

^a AALBORG UNIVERSITY   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EIGEN FREQUENCIES; EXCITATION FREQUENCY; EXTERNAL EXCITATION; EXTERNAL EXCITATION FREQUENCY; MATHEMATICAL FORMULATION; RESONANCE PHENOMENA; STRUCTURAL SURFACES; TOPOLOGICAL DESIGN;

OPTIMIZATION;

ACOUSTIC NOISE;

EID: 84881576832     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (30)

1. M.P. Bendsøe and N. Kikuchi, "Generating optimal topologies in structural design using a homogenization method", Comp. Meths. Appl. Mech. Eng., 71, 197-224 (1988)
2. M.P. Bendsøe, "Optimal shape design as a material distribution problem", Struct. Optim., 1, 193-202 (1989)
3. N. Olhoff, M.P. Bendsøe and J. Rasmussen, "On CAD-intergrated structural topology and design optimization", Comput. Meth. Appl. Mech. Engng., 89, 259-279 (1991)
4. M. P. Bendsee and O. Sigmund. Topology Optimization: Theory, Methods and Applications, (Springer, 2003)
5. H. Eschenauer and N. Olhoff, "Topology optimization of continuum structures: A review", Appl. Mech. Rev., 54, 4, 331-389 (2001)
6. N. Olhoff, "Optimization of vibrating beams with respect to higher order natural frequencies", J. Struct. Mech., 4, 87-122 (1976)
7. N. Olhoff, "Maximizing higher order eigenfrequencies of beams with constraints on the design geometry", J. Struct. Mech., 5, 107-134 (1977)
8. M.P. Bendsøe and N. Olhoff, "A method of design against vibration resonance of beams and shafts", Optim. Control Appl. Meth., 6, 191-200 (1985)
9. A.R. Diaz and N. Kikuchi, "Solutions to shape and topology eigenvalue optimization problems using a homogenization method", Int. J. Num. Meth. Engng. 35, 1487-1502 (1992)
10. Z.D. Ma, H.C. Cheng and N. Kikuchi, "Structural design for obtaining desired eigenfrequencies by using the topology and shape optimization method", Comput. Systems Engng. 5, (1), 77-89, (1994)
11. A.R. Diaz, R. Lipton and C.A. Soto, "A new formulation of the problem of optimum reinforcement of Reissner-Midlin plates", Comp. Meth. Appl. Mechs. Eng., 123, 121-139 (1994)
12. I. Kosaka and C.C. Swan, "A symmetry reduction method for continuum structural topology optimization", Computers & Structures, 70, 47-61 (1999)
13. L.A. Krog and N. Olhoff, "Optimum topology and reinforcement design of disk and plate structures with multiple stiffness and eigenfrequency objectives", Computers & Structures, 72, 535-563 (1999)
14. J.S. Jensen and N.L. Pedersen, "On maximal eigenfrequency separation in two-material structures: the ID and 2D scalar cases", J. Sound and Vibration (to appear), (2005)
15. N.L. Pedersen, "Maximization of eigenvalues using topology optimization", Struct. Multidisc. Optim., 20, 2-11(2000)
16. Z.D. Ma, N. Kikuchi and H.C. Cheng, "Topological design for vibrating structures. Comput. Methods" Appl. Mech. Engrg. 121, 259-280 (1995)
17. S. Min, N. Kikuchi, Y.C. Park, S. Kim and S. Chang, "Optimal topology design of structures under dynamic loads", Struct. Optim., 17, 208-218 (1999)
18. CS. Jog, "Topology design of structures subjected to periodic loading", J. Sound and Vibration, 253 (3), 687-709 (2002)
19. O. Sigmund, "Microstructural design of elastic band gap structures", in: G.D. Cheng, et al., editors, Proceedings of the Fourth World Congress of Structrual and Multidisciplinary Optimization WCSM04, Dalian, China, Liaoning Electronic Press, 6 pp. (2001)
20. O. Sigmund and J.S. Jensen, "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)
21. G. Rozvany, M. Zhou and T. Birker, "Generalized shape optimization without homogenization", Struct. Optim. 4, 250-252 (1992)
22. M.P. Bendsøe and O. Sigmund, "Material interpolation schemes in topology optimization", Arch. Appl. Mech., 69, 635-654 (1999)
23. O. Sigmund, "Materials with prescribed constitutive parameters: an inverse homogenization problem", Int. J. Solids and Struct., 31, 2313-2329 (1994)
24. D. Tcherniak, "Topology optimization of resonating structures using SIMP method", Int. J. Numer. Meth. Engng. 54, 1605-1622 (2002)
25. G. Cheng and N. Olhoff, "Regularized formulation for optimal design of axisymmetric plates", Int. J. Solids Struct. 18, 153-169 (1982)
26. K. Svanberg, "The method of moving asymptotes - a new method for structural optimization", Int. J. Numer. Meth. Engng. 24, 359-373 (1987)
27. J.E. Taylor and M.P. Bendsøe, "An interpretation of min-max structural design problems including a method for relaxing constraints", Int. J. Solids Struct., 20, 301-314 (1984)
28. M.P. Bendsøe, N. Olhoff and J.E. Taylor, "A variational formulation for multicriteria structural optimization", J. Struct. Mech., 11, 523-544 (1983)
29. A.P. Seyranian, E., Lund and N. Olhoff, "Multiple eigenvalues in structural optimization problems", Struct. Optim. 8, 4, 207-227 (1994)
30. J. Du and N. Olhoff, "Topological Optimization of Continuum Structures with Design-dependent Surface Loading - Part I: New Computational Approach for 2D Problems; Part II: Algorithm and Examples for 3D Problems", Struct. Multidisc. Optim., 27, 151-177 (2004)