Simultaneous shape and topology optimization of truss under local and global stability constraints

Acta Mechanica Solida Sinica

Volumn 16, Issue 2, 2003, Pages 95-101

  Guo, Xu ^a   Liu, Wei ^a   Li, Hongyan ^b  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b Hebei Construction Group Co Ltd   (China)

Author keywords

Shape optimization; Singular optimum; Topology optimization

Indexed keywords

BUCKLING; CONSTRAINT THEORY; STIFFNESS MATRIX; STRESSES; STRUCTURAL DESIGN; STRUCTURAL OPTIMIZATION;

GLOBAL STABILITY CONSTRAINTS;

TRUSSES;

EID: 0038334122     PISSN: 08949166     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. Cheng, G.D. and Jiang, Z., Study on topology optimization with stress constraint, Engineering Optimization, Vol.20, 1992, 129-148.
2. Cheng, G.D., Some aspects on truss topology optimization, Structural Optimization, Vol.10, 1995, 173-179.
3. Cheng, G.D. and Guo, X., Epsilon-relaxed approach in structural topology optimization, Structural Optimization, Vol.13, 1997, 258-266.
4. Duysinx, P. and Bendsoe, M.P., Topology optimization of continuum structures with local stress constraints, International Journal for Numerical Methods in Engineering, Vol. 43, 1998, 1453-1478.
5. Petersson, J., On the continuity of the design-to state mappings for trusses with variable topology, International Journal of Engineering Science, Vol.39, 2001, 1119-1141.
6. Cai, S., Shi, L.S. and Sun, H.C., Topology optimization of truss structures with discrete variables including two kinds of variables, Acta Mechanica Sinica, Vol.31, 1999, 574-584 (in Chinese).
7. Yang, D.Q., Liu, Z.X. and Xuan, Z.C., Some results on optimal topology design of truss with unilateral contact constraints, Acta Mechnica Solida Sinica, Vol.22, 2001, 37-46 (in Chinese).
8. Sui, Y.K., Yu, X., and Ye, B.R., The uniform model based on the exist-null combination for the truss and membrane topological optimization with stress constraint, Acta Mechnica Solida Sinica, Vol.22, 2001, 15-22 (in Chinese).
9. Rozvany, G.I.N., On design-dependent constraints and singular topologies, Structural and Multidisciplinary Optimization, Vol. 21, 2001, 164-172.
10. Rozvany, G.I.N., Difficulties in truss topology optimization with local buckling and system stability constraints, Structural Optimization, Vol.11, 1996, 213-221.
11. Zhou, M., Difficulties in truss topology optimization with stress and local buckling constraints, Structural Optimization, Vol.11, 1996, 134-136.
12. Achtziger, W., Local stability of trusses in the context of topology optimization, Part I: exact modeling, Structural Optimization, Vol.17, 1999, 235-246.
13. Achtziger, W., Local stability of trusses in the context of topology optimization, Part II: a numerical approach, Structural Optimization, Vol.17, 1999, 247-258.
14. Achtziger, W., Optimization with variable sets of constraints and an application to truss design, Computational Optimization and Applications, Vol.15, 2000, 69-96.
15. Guo, X., Cheng, G.D. and Yamazaki, K., A new approach for the solution of singular optima in truss topology optimization with stress and local buckling constraints, Structural and Multidisciplinary Optimization, Vol.22, 2001, 364-373.
16. Cheng, G,D., Guo, X. and Olhoff, N., New formulation for truss topology optimization problems under buckling constraints, in: Rozvany, G.I.N. and Olhoff, N.(eds), Proceedings of Topology Optimization of Structures and Composites Continua, Budapest, 2000, 115-129.
17. Ohsaki, M., Simultaneous optimization of topology and geometry of a regular plane truss, Computers and Structures, Vol.66, 1998, 69-77.
18. Guo, X. and Cheng, G.D., Epsilon-continuation approach for truss topology optimization, in: Humle, K. and Winer, E.(eds), Proceedings of Third World Congress of Structural and Multidisciplinary Optimization Keneth English, Buffalo, 1999, 437-439.