Simultaneous optimization of topology and geometry of a regular plane truss
作者： Makoto Ohsaki
DOI: 10.1016/S0045-7949(97)00050-3
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摘要: Abstract An algorithm is presented for simultaneous optimization of geometry and topology a regular plane truss with uniform cross-sectional area. Difficulties arising from singularity discontinuity in eliminating unnecessary members nodes the ground structure are discussed detail by using cantilever-type truss. Note that problem becomes more complicated limiting feasible designs to trusses areas. In proposed method, pin-jointed first modeled as rigidly jointed frame. A sigmoid function used modeling continuous transition between frames different topologies. this manner, coalescent successfully removed initial structure. examples, optimal solutions found rectangular which consists units, effect nodal cost on discussed.
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sci-hub.se 参考文章(22)
B. H. V. Topping, Mathematical Programming Techniques for Shape Optimization of Skeletal Structures Springer Vienna. pp. 349- 375 ,(1992) , 10.1007/978-3-7091-2788-9_17
Shape and layout optimization of structural systems and optimality criteria methods NASA STI/Recon Technical Report A. ,vol. 93, pp. 10250- ,(1992) , 10.1007/978-3-7091-2788-9
Lucien A. Schmit, Kanji Imai, Configuration Optimization of Trusses Journal of the Structural Division. ,vol. 107, pp. 745- 756 ,(1981) , 10.1061/JSDEAG.0005702
J.H. Lin, W.Y. Che, Y.S. Yu, Structural optimization on geometrical configuration and element sizing with statical and dynamical constraints Computers & Structures. ,vol. 15, pp. 507- 515 ,(1982) , 10.1016/0045-7949(82)90002-5
Uri Kirsch, Optimal topologies of truss structures Applied Mechanics and Engineering. ,vol. 72, pp. 15- 28 ,(1989) , 10.1016/0045-7825(89)90119-9
Uri Kirsch, Optimal Topologies of Structures Applied Mechanics Reviews. ,vol. 42, pp. 223- 239 ,(1989) , 10.1115/1.3152429
U. Kirsch, Integration of reduction and expansion processes in layout optimization Structural Optimization. ,vol. 11, pp. 13- 18 ,(1996) , 10.1007/BF01279649
ULF TORBJÖRN RINGERTZ, A BRANCH AND BOUND ALGORITHM FOR TOPOLOGY OPTIMIZATION OF TRUSS STRUCTURES Engineering Optimization. ,vol. 10, pp. 111- 124 ,(1986) , 10.1080/03052158608902532
Tsuneyoshi Nakamura, Makoto Ohsaki, A natural generator of optimum topology of plane trusses for specified fundamental frequency Applied Mechanics and Engineering. ,vol. 94, pp. 113- 129 ,(1992) , 10.1016/0045-7825(92)90159-H
M. P. Bendsøe, A. Ben-Tal, J. Zowe, Optimization methods for truss geometry and topology design Structural Optimization. ,vol. 7, pp. 141- 159 ,(1994) , 10.1007/BF01742459