基于非概率集合可靠性的结构优化设计

Structrual optimization design based on non-probabilistic set-theoretic reliability

在结构非概率集合可靠性模型的基础上,考虑结构系统中的参数不确定性,提出了基于非概率可靠性的结构优化方法。该方法将不确定量看作是区间数,通过区间运算得到结构的非概率可靠性,并以结构的非概率可靠性小于指定可靠性指标为约束条件,利用乘子法对结构的优化问题进行求解。最后应用本文方法对一桁架结构进行总质量优化,优化结果验证了本文方法的可行性和有效性。

Considering the uncertainties in structural syste method for structures is proposed based on the non-proba m,the bilistic non-probabilistic reliability optimization set-theoretic model for structural reliability. In this method,the uncertainties are considered as interval numbers,and the non-probabilistie reliability of structures can be calculated by interval mathematics. Then the structural optimization problem, in which the non-probabilistic reliability index is taken as the constraint condition,can be solved through Lagrange multiplier method. The mass optimization for a truss structure is performed using the proposed method,and the optimization results illustrate its feasibility and effectiveness.