Topology group concept for truss topology optimization with frequency constraints

Journal of Sound and Vibration

Volumn 261, Issue 5, 2003, Pages 911-925

  Xu, Bin ^a   Jiang, Jiesheng ^a   Tong, Weihua ^a   Wu, Kegong ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BUCKLING; INTERPOLATION; NATURAL FREQUENCIES; NONLINEAR EQUATIONS; OPTIMIZATION; STIFFNESS MATRIX; STRESSES; STRUCTURAL LOADS; TOPOLOGY;

COMBINATORIAL ALGORITHM; EULER BUCKLING CONSTRAINT; GROUND STRUCTURE; PARABOLIC INTERPOLATION METHOD; TOPOLOGY OPTIMIZATION;

TRUSSES;

EID: 0037431415     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01021-0     Document Type: Article

References (19)

1. U. Kirsch, Optimal topologies of truss structures, Applied Mechanics Review 42 (1989) 223-239.
2. M.P. Bendose, A. Ben-Tal, J. Zowe, Optimization methods for truss geometry and topology design, Structural Optimization 7 (1994) 141-159.
3. U. Kirsch, Optimal topologies of truss structures, Computer Methods in Applied Mechanics and Engineering 94 (1992) 113-129.
4. U.T. Ringertz, A branch and bound algorithm for topology optimization of truss structures. Engineering Optimization 14 (1989) 159-178.
5. U. Kirsch, On relationship between optimum structural topologies and geometries, Structural Optimization 2 (1990) 39-45.
6. G.I.N. Rozvany, M. Zhou, A note on truss design for stress and displacement constraints by optimality criteria methods, Structural Optimization 3 (1991) 45-50.
7. M.H. Iman, M. Al-Shihri, Optimum topology of structural supports, Computers & Structures 61 (1996) 147-154.
8. P. Hajela, E. Lee, Genetic algorithms in truss topological optimization, International Journal of Solids Structures 22 (1995) 3341-3357.
9. W.X. Cai, G.D. Cheng, Simulated annealing algorithm for the topology optimization of truss, Journal of South China University of Technology 9 (1998) 78-84.
10. W.S. Zou, et al., Truss topology optimization considering structural stability, Journal of Beijing Institute of Technology 1 (1999) 29-33.
11. Y.F. Wang, H.C. Sun, Optimal topology designs of trusses with discrete size variables subjected to multiple constraint and loading cases, Acta Mechanica Sinica 27 (1995) 365-369.
12. M. Ohsaki, Genetic algorithm for topology optimization of trusses, Computers & Structures 57 (1995) 219-225.
13. M.T. Turner, Design of minimum mass structures with specified natural frequencies, American Institute of Aeronautics and Astronautics Journal 5 (1967) 406-412.
14. M.S. Zarghamee, Frequency optimization, American Institute of Aeronautics and Astronautics Journal 6 (1968) 749-750.
15. J.E. Taylor, Optimum design of a vibrating bar with specified minimum cross-section, American Institute of Aeronautics and Astronautics Journal 6 (1968) 1341-1379.
16. T. Nakamura, M. Ohsaki, A natural generator of optimum topology of plane trusses for specified fundamental frequency, Computer Methods in Applied Mechanics and Engineering 94 (1992) 113-129.
17. X. Guo, G. Cheng, K. Kamazaki, A new approach for the solution of singular optima in truss topology optimization with stress and local buckling constraints, Structural and Multidisciplinary Optimization 22 (2001) 364-372.
18. D. Bojczuk, Z. Mroz, Optimal topology and configuration design of trusses with stress and buckling constraints, Structural Optimization 17 (1999) 25-35.
19. G.D. Cheng, On singular optima of structural topology optimization of trusses, Journal of Dalian University of Technology 4 (2000) 379-383.