Optimum design of truss topology under buckling constraints

Structural and Multidisciplinary Optimization

Volumn 30, Issue 3, 2005, Pages 169-180

  Guo, X ^a   Cheng, G D ^a   Olhoff, N ^b  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b AALBORG UNIVERSITY   (Denmark)

Author keywords

Buckling constraint; Singular topology; Topology optimization

Indexed keywords

NUMERICAL ANALYSIS; OPTIMAL SYSTEMS; PROBLEM SOLVING; SYSTEM STABILITY; TOPOLOGY;

OPTIMAL TOPOLOGY; OPTIMUM DESIGN; PROBLEM FORMULATION; SINGULAR TOPOLOGY; TOPOLOGY OPTIMIZATION;

BUCKLING;

EID: 23944487221     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-004-0511-z     Document Type: Review

References (19)

1. Achtziger W (1999a) Local stability of trusses in the context of topology optimization. Part I: exact modeling. Struct Optim 17:235-246
2. Achtziger W (1999b) Local stability of trusses in the context of topology optimization. Part II: a numerical approach. Struct Optim 17:247-258
3. Achtziger W (2000) Optimization with variable sets of constraints and an application to truss design. Comput Optim Appl 15:69-96
4. Birker T (1996) New developments in structural optimization using optimality criteria. Ph.D. thesis, University of Essen, Proceedings VDI, Series 18, No. 199. VDI Verlag, Dusseldorf, pp 172
5. Cheng GD, Jiang Z (1992) Study on topology optimization with stress constraint. Eng Optim 20:129-148
6. Cheng GD (1995) Some aspects on truss topology optimization. Struct Optim 10:173-179
7. Cheng GD, Guo X (1997) ε-relaxed approach in structural topology optimization. Struct Optim 13:258-266
8. Cheng GD, Guo X, Olhoff N (2000) New formulation for truss topology optimization problems under buckling constraints. In: Rozvany GIN, Olhoff N. (eds) Topology optimization of structures and composite continua, Kluwer, Dordrecht, pp 115-130
9. Farkas J, Jarmai K (1997) Analysis and optimum design of metal structures. Rotterdam-Brookfield, Balkema
10. Gerdes D (1994) Strukturoptimierung unter Anwendung der Optimalitatskriterien auf diskretisierte Tragwerke bei besonderer Berücksichtigung der Stabilität, Doctoral Dissertation, FB10 Univ Essen (in German)
11. Guo X, Cheng GD (1999) ε-continuation approach for truss topology optimization. In: Keneth E, Kevin H, Eliot W (eds) Proceedings of Third World Congress of Structural and Multidisciplinary Optimization, Vol. 2, Buffalo, pp 437-439
12. Guo X, Cheng GD, Yamazaki K (2001) A new approach for the solution of singular optima in truss topology optimization with stress and local buckling constraints. Struct Multidisc Optim 22:364373
13. Kocvara M (2002) On the modeling and solving of the truss design problem with global stability constraints. Struct Multidisc Optim 23:189-203
14. MOPB (1990) MOPB user's manual, version 1.0. Hua Zhong University of Technology Publisher
15. Pedersen P (1993) Topology optimization of three-dimensional trusses. In: Bendsoe MP, Mota Soares CA. (eds) Topology Optimization of Structures, Kluwer, Dordrecht, pp 19-30
16. Rozvany GIN (1996) Difficulties in truss topology optimization with local buckling and system stability constraints. Struct Optim 11:213-221
17. Rozvany GIN (2001) On design-dependent constraints and singular topologies. Struct Multidisc Optim 21:164-172
18. Stolpe M, Svanberg K (2001) On the trajectories of the epsilon-relaxation approach for stress-constrained truss topology optimization. Struct Multidisc Optim 21:140-151
19. Zhou M (1996) Difficulties in truss topology optimization with stress and local buckling constraints. Struct Optim 11:134-136