A simple and effective inverse projection scheme for void distribution control in topology optimization

Structural and Multidisciplinary Optimization

Volumn 39, Issue 4, 2009, Pages 359-371

  Almeida, S R M ^a   Paulino, G H ^b   Silva, E C N ^c  

^a FEDERAL UNIVERSITY OF GOIÁS   (Brazil)

^b University of Illinois at Urbana Champaign   (United States)

^c UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Combined projection; Direct projection; Inverse projection; Projection functions; Topology optimization; Two phase optimization

Indexed keywords

COMBINED PROJECTION; DIRECT PROJECTION; INVERSE PROJECTION; PROJECTION FUNCTIONS; TOPOLOGY OPTIMIZATION; TWO-PHASE OPTIMIZATION;

STRUCTURAL FRAMES; STRUCTURAL MEMBERS; STRUCTURAL OPTIMIZATION;

TOPOLOGY;

EID: 69949126091     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-008-0332-6     Document Type: Article

References (22)

1. MP Bendsøe 1989 Optimal shape design as a material distribution problem Struct Optim 1 4 193 202
2. Bendsøe MP, Sigmund O (2003) Topology optimization: theory, methods and applications. Springer, New York
3. T Borrvall J Petersson 2001 Topology optimization using regularized intermediate density control Comput Methods Appl Mech Eng 190 37 4911 4928
4. B Bourdin 2001 Filters in topology optimization Int J Numer Methods Eng 50 9 2143 2158
5. RC Carbonari ECN Silva GH Paulino 2007 Topology optimization design of functionally graded bimorph-type piezoeletric actuators Smart Mater Struc 16 6 2605 2620
6. Carbonari RC, Silva ECN, Paulino GH (2009) Multi-actuated functionally graded piezoelectric micro-tools design: a multiphysics topology optimization approach. Int J Numer Methods Eng. doi: 10.1002/nme.2403
7. K-H Chang P-S Tang 2001 Integration of design and manufacturing for structural shape optimization Adv Eng Softw 32 7 555 567
8. Guest JK (2009) Imposing maximum length scale in topology optimization. Struct Multidisc Optim. doi: 10.1007/s00158-008-0250-7
9. JK Guest JH Prévost T Belytschko 2004 Achieving minimum length scale in topology optimization using nodal design variables and projection functions Int J Numer Methods Eng 61 2 238 254
10. X Guo YX Gu 2004 A new density-stiffness interpolation scheme for topology optimization of continuum structures Eng Comput 21 1 9 22
11. K Ishii S Aomura 2004 Topology optimization for the extruded three dimensional structure with constant cross section JSME Int J, Series A 47 2 198 206
12. K Matsui K Terada 2004 Continuous approximation for material distribution for topology optimization Int J Numer Methods Eng 59 14 1925 1944
13. Nitsopoulos I, Lauber B (2007) Overview on optimization methods, FE-DESIGN GmbH, TOSCA Structure. ANSA and META International Congress, June 14-15,2002. http://www.fe-design.com
14. GIN Rozvany 2001 Topology optimization in structural mechanics. Editorial Struct Multidisc Optim 21 2 89
15. GIN Rozvany 2001 Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics Struct Multidisc Optim 21 2 90 108
16. O Sigmund 1997 On the design of compliant mechanisms using topology optimization Mechan Struct Mach 25 4 493 524
17. O Sigmund 2001 Design of multiphysics actuators using topology optimization-part II: two-material structures Comput Methods Appl Mech Eng 190 49-50 6605 6627 (Pubitemid 33033624)
18. O Sigmund 2007 Morphology-based black and white filters for topology optimization Struct Multidisc Optim 33 4-5 401 424
19. MY Wang S Wang 2005 Bilateral filtering for structural topology optimization Int J Numer Methods Eng 63 13 1911 1938
20. M Zhou GIN Rozvany 1991 The COC algorithm, part II: topological, geometry and generalized shape optimization Comput Methods Appl Mech Eng 89 1 197 224
21. M Zhou YK Shyy HL Thomas 2001 Checkerboard and minimum member size control in topology optimization Struct Multidisc Optim 21 2 152 158
22. K-T Zuo L-P Chen Y-Q Zhang J Yang 2006 Manufacturing- and machining-based topology optimization Int J Adv Manuf Technol 27 5-6 531 536