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Optimization Design of Structures with Discrete Variables Based on Non-probabilistic Reliability |
Received:March 15, 2017 Revised:July 15, 2017 |
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DOI:10.7643/ issn.1672-9242.2017.07.012 |
KeyWord:non-probability discrete variables structural optimization reliability |
Author | Institution |
ZHANG Si-cai |
Institute of Systems Engineering, CAEP, Mianyang , China |
ZHANG Fang-xiao |
Institute of Systems Engineering, CAEP, Mianyang , China |
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Abstract: |
Objective To explore application of non-probability reliability in optimization design of structure with the discrete variables to solve issues such as failure of continues valuing in design variables due to limit of material supply specification, fluctuation of material performance, deviation of external load, etc. Methods The nondeterminacy of material’s ultimate strength and external load was considered with cross-sectional diameter of trusswork rod pieces as design variable, with minimizing structural weight as target to establish a reliable optimization model for discrete variable structure of non-probability reliability index constrain. The genetic algorithm was used to solve the problems of truss optimization design with the discrete variables. Results Optimal combination of cross-sectional diameters of three-rod and ten-rod indeterminate truss rod pieces was obtained. The optimization result obtained was more robust than that of the deterministic optimization. Conclusion Non probabilistic reliability model is feasible for solving discreteness and non-probability in optimization design of structures with discrete variables and the uncertainty. |
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