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| Topology optimization of truss structures for non-probabilistic Reliability |
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| DOI：10.7511/jslx20085113 |
| KeyWord:topology optimization,truss structure,convex model,non-probabilistic reliability |
| KANG Zhan LUO Yang-jun |
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| Abstract: |
| The non-probabilistic reliability-based topology optimization is of great importance for conceptual design of structures under system uncertainties.This subject,however,has been rarely addressed in the literatures.This paper proposes a modified definition of non-probabilistic reliability based on the convex model theory.Such a definition facilitates the seeking of the optima in the design space.Furthermore,the topology optimization of truss structures under constraints on non-probabilistic reliability is mathematically stated as a generalized sizing problem,where the member cross-sectional areas are taken as design variables and the structural weight is considered as the objective function.The present paper reveals that,the optimal structural layout incorporating system uncertainties may differ significantly from those obtained with deterministic formulations.The optimization problem is solved with a mathematical programming method.Numerical results illustrate the applicability and the validity of the present problem settings as well as numerical techniques developed in this study. |
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