A method for shape and topology optimization of truss-like structure

Structural and Multidisciplinary Optimization

Volumn 47, Issue 5, 2013, Pages 687-697

  Xia, Qi ^a   Wang, Michael Yu ^b   Shi, Tielin ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Shape optimization; Topology optimization; Truss like structure

Indexed keywords

FINITE ELEMENT MESHES; GEOMETRIC CONSTRAINT; INITIAL DESIGN; INITIAL STRUCTURES; MESH GENERATORS; OPTIMIZATION METHOD; SHAPE AND TOPOLOGY OPTIMIZATION; SIMP METHOD;

TRUSSES;

SHAPE OPTIMIZATION;

EID: 84880573050     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-012-0844-y     Document Type: Article

References (34)

1. Achtziger W (2007) On simultaneous optimization of truss geometry and topology. Struct Multidisc Optim 33:285-304 (Pubitemid 46362311)
2. Ben-Tal A, Kočvara M, Zowe J (1993) Two nonsmooth approaches to simultaneous geometry and topology design of trusses. In: Bendsøe M, Soares CM (eds) Topology optimization of structures. Kluwer Academic, Dordrecht, pp 31-42
3. Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71:197-224
4. Bendsøe MP, Sigmund O (2003) Topology optimization: theory, methods and applications. Springer, Berlin
5. Chiras S, Mumm DR, Evans AG, Wicks N, Hutchinson JW, Dharmasena K, Wadley HNG, Fichter S (2002) The structural performance of near-optimized truss. Int J Solids Struct 39:4093-4115 (Pubitemid 34842364)
6. Coelho PG, Fernandes PR, Guedes JM, Rodrigues HC (2008) A hierarchical model for concurrent material and topology optimisation of three-dimensional structures. Struct Multidisc Optim 35:107-115
7. Dems K, Gatkowski W (1995) Optimal design of a truss configuration under multiloading conditions. Struct Optim 9:262-265
8. Deshpande VS, Fleck NA, Ashby MF (2001) Effective properties of the octet-truss lattice material. J Mech Phys Solids 49:1747-1769 (Pubitemid 32645564)
9. Dorn W, Gomory R, Greenberg H (1964) Automatic design of optimal structures. J Méc 3:25-52
10. Dutta D, Prinz FB, Rosen D, Weiss L (2001) Layered manufacturing: current status and future trends. ASME J Comput Inf Sci Eng 1:60-71
11. Fletcher R (1975) An ideal penalty function for constrained optimization. J Inst Math Appl 15:319-342
12. Imai K, Schmit LA (1982) Configuration optimization of trusses. In: Proc. ASCE, vol 107 (ST5), pp 745-756 (Pubitemid 11467515)
13. Kočvara M, Zowe J (1995) How to optimize mechanical structures simultaneously with respect to geometry and topology. In: Olhoff N, Rozvany GIN (eds) First world congress of structural and multidisciplinary optimization. Pergamon, Oxford, pp 135-140
14. Kwon YW, Bang H (2000) The finite element method using MATLAB. CRC Press, Boca Raton
15. Lin JH, Che WY, Yu YS (1982) Structural optimization on geometrical configuration and element sizing with statical and dynamical constraints. Comput Struct 15(5):507-515 (Pubitemid 12552067)
16. Liu L, Yan J, Cheng GD (2008) Optimum structure with homogeneous optimum truss-like material. Comput Struct 86:1417-1425
17. Mei Y, Wang X (2004) A level set method for structural topology optimization and its applications. Adv Eng Softw 35:415-441
18. Persson P, Strang G (2004) A simple mesh generator in MATLAB. SIAM Rev 46(2):329-345
19. Rodrigues H, Guedes JM, Bendsøe MP (2002) Hierarchical optimization of material and structure. Struct Multidisc Optim 24:1-10 (Pubitemid 35019572)
20. Rozvany GIN (1992) Shape and layout optimization of structural systems and optimality criteria methods. Springer, Berlin
21. Sigmund O (2001) A 99 line topology optimization code written in MATLAB. Struct Multidisc Optim 21(2):120-127 (Pubitemid 32535047)
22. Su W, Liu ST (2010) Size-dependent optimal microstructure design based on couple-stress theory. Struct Multidisc Optim 42:243-254
23. Sypeck DJ, Wadley HNG (2001) Multifunctional microtruss laminates: textile synthesis, and properties. J Mater Res 16(3):890-897 (Pubitemid 34574238)
24. Takano N, Zako M (2000) Integrated design of graded microstructures of heterogeneous materials. Arch Appl Mech 70:585-596
25. Wallach JC, Gibson LJ (2001) Mechanical behavior of a three-dimensional truss material. Int J Solids Struct 38:7181-7196 (Pubitemid 32836312)
26. Wang H (2005) A unit cell approach for lightweight structure and compliant mechnism. PhD thesis, Georgia Institute of Technology, Atlanta, GA
27. Wang B, Cheng GD (2005) Design of cellular structures for optimum efficiency of heat dissipation. Struct Multidisc Optim 30:447-458 (Pubitemid 41720546)
28. Wang XM, Wang MY, Guo DM (2004) Structural shape and topology optimization in a level-set framework of region representation. Struct Multidisc Optim 27:1-19
29. Wang H, Cheng Y, Rosen DW (2005) A hybrid geometric modeling method for large scale conformal cellular structures. In: The ASME international design engineering technical conferences & computers and information in engineering conference, Long Beach, CA. Paper No. DETC2005-85366
30. Wicks N, Hutchinson JW (2001) Optimal truss plates. Int J Solids Struct 38:5165-5183 (Pubitemid 32575724)
31. Yan J, Cheng GD, Liu ST, Liu L (2006) Comparison of prediction on effective elastic property and shape optimization of truss material with periodic microstructure. Int J Mech Sci 48:400-413 (Pubitemid 43145928)
32. Zhang WH, Sun SP (2006) Scale-related topology optimization of cellular materials and structures. Int J Numer Methods Eng 68(9):993-1011 (Pubitemid 44823244)
33. Zhang WH, Domaszewski M, Fleury C (1998) A new mixed convex approximation method with applications for truss configuration optimization. Struct Optim 15:237-241 (Pubitemid 128647638)
34. Zhou M, Rozvany GIN (1991) The coc algorithm, part II: topological, geometry and generalized shape optimization. Comput Methods Appl Mech Eng 89:197-224 Education