Optimal topology and configuration design of trusses with stress and buckling constraints

被引:10
作者
Bojczuk D. [1 ]
Mróz Z. [2 ]
机构
[1] Kielce University of Technology, Kielce
[2] Institute of Fundamental Technological Research, Polish Academy of Sciences, PL-00-049 Warsaw
关键词
Optimality Condition; Cost Function; Civil Engineer; Optimal Design; Design Variable;
D O I
10.1007/BF01197710
中图分类号
学科分类号
摘要
A heuristic algorithm for optimal design of trusses is presented with account for stress and buckling constraints. The design variables are constituted by cross-sectional areas, configuration of nodes and the number of nodes and bars. Similarly to biological growth models, it is postulated that the structure evolves with the characteristic size parameter and the "bifurcation" of topology occurs with the generation of new nodes and bars in order to minimize the cost function. The first-order sensitivity derivatives provide the necessary information on topology variation and the optimality conditions for configuration and cross-sectional parameters. © Springer-Verlag 1999.
引用
收藏
页码:25 / 35
页数:10
相关论文
共 14 条
[1]  
Bendsoe M.P., Optimization of Structural Topology, Shape and Material, (1995)
[2]  
Birker T., New Developments in Structural Optimization Using Optimality Criteria, (1996)
[3]  
Bojczuk D., Mroz Z., Optimal design of trusses with account for topology variation, Mech. Struct. Mach., 26, pp. 21-40, (1998)
[4]  
Gerdes D., Strukturoptimierung Unter Anwendung der Optimalitätskriterien auf Diskretisierte Tragwerke bei Besonderer Berücksichtigung der Stabilität (in German), (1995)
[5]  
Kirsch U., Optimal topologies of structures, Appl. Mech. Rev., 42, pp. 223-239, (1989)
[6]  
Kirsch U., Integration of reduction and expansion processes in layout optimization, Struct. Optim., 11, pp. 13-18, (1996)
[7]  
Oberndorfer J.M., Achtziger W., Hornlein H.R.E.M., Two approaches for truss topology optimization: A comparison for practical use, Struct. Optim., 11, pp. 137-144, (1996)
[8]  
Pedersen P., Topology optimization of three-dimensional trusses, Topology Design of Structures, pp. 19-30, (1992)
[9]  
Rozvany G.I.N., Difficulties in truss topology optimization with stress, local buckling and system buckling constraints, Struct. Optim., 11, pp. 213-217, (1996)
[10]  
Rozvany G.I.N., Birker T., On singular topologies in exact layout optimization, Struct. Optim., 8, pp. 228-235, (1994)