Topology optimization of trusses with stress and local constraints on nodal stability and member intersection

Structural and Multidisciplinary Optimization

Volumn 29, Issue 3, 2005, Pages 190-197

  Ohsaki, M ^a   Katoh, N ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Branch and bound method; Local constraints; Mixed integer programming; Stress constraints; Topology optimization; Truss

Indexed keywords

INTEGER PROGRAMMING; LINEAR PROGRAMMING; NONLINEAR PROGRAMMING; PROBLEM SOLVING; STABILITY; STRESS ANALYSIS; STRUCTURAL OPTIMIZATION; TOPOLOGY;

BRANCH-AND-BOUND METHOD; LOCAL CONSTRAINTS; MIXED INTEGER PROGRAMMING (MIP); STRESS CONSTRAINTS; TOPOLOGY OPTIMIZATION;

TRUSSES;

EID: 16244422700     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-004-0480-2     Document Type: Article

References (20)

1. Arora J, Tseng C (1987) Idesign User's Manual, Ver. 3.5. Technical report, Optimal Design Laboratory, University of Iowa
2. Cheng G (1995) Some aspects of truss topology optimization. Struct Optim 10:173-179
3. Cheng G, Guo X (1997) ε-relaxed approach in structural topology optimization. Struct Optim 13:258-266
4. Dobbs W, Felton LP (1969) Optimization of truss geometry. Proc ASCE 95(ST10):2105-2119
5. Dorn W, Gomory R, Greenberg H (1964) Automatic design of optimal structures. J Mecanique 3:25-52
6. Gondzio J (1995) Hopdm - a fast lp solver based on a primal-dual interior point method. Eur J Oper Res 85:221-225
7. Guo X, Cheng G (2000) An extrapolation approach for the solution of singular optima. Struct Optim 19:255-262
8. Haug EJ, Choi KK, Komkov V (1986) Design Sensitivity Analysis of Structural Systems. Academic, Amsterdam
9. Kirsch U (1989) Optimal topologies of truss structures. Appl Mech Rev 42:223-239
10. Kirsch U (1990) On singular topologies in optimum structural design. Struct Optim 2:133-142
11. Kravanja S, Kravanja Z, Bedenik BS (1998) The minlp optimization approach to structural optimization, part i: general view on simultaneous topology and parameter optimization. Int J Numer Methods Eng 43:263-292
12. Nakamura T, Ohsaki M (1992) A natural generator of optimum topology of plane trusses for specified fundamental frequency. Comput Methods Appl Mech Eng 94(1):113-129
13. Ohsaki M, Nakamura T (1996) Minimum constraint perturbation method for topology optimization of systems. Eng Optim 26:171-186
14. Ringertz UT (1985) On topology optimization of trusses. Eng Optim 9:209-218
15. Ringertz UT (1986) A branch and bound algorithm for topology optimization of truss structures. Eng Optim 10:111-124
16. Sheu CY, Schmit LA (1972) Minimum weight design of elastic redundant trusses under multiple static loading conditions. AIAA J 10(2): 155-162
17. Stolpe M, Svanberg K (2001) On the trajectories of the epsilon-relaxation approach for stress-constrained truss topology optimization. Struct Optim 21:140-151
18. Stolpe M, Svanberg K (2003) A note on stress-constrained truss topology optimization. Struct Optim 25:62-64
19. Sved G, Ginos Z (1968) Structural optimization under multiple loading. Int J Mech Sci 10:803-805
20. Visual Numerics (1997) IMSL Math/Library Ver. 4.01