| 王晓军,杨海峰,邱志平,覃梓轩.基于非概率集合可靠性的结构优化设计[J].计算力学学报,2011,28(6):827~832 |
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| 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 |
| 投稿时间：2009-06-30 修订日期：2010-10-15 |
| DOI：10.7511/jslx20116003 |
| 中文关键词: 结构可靠性优化 非概率集合可靠性 应力-强度非概率集合干涉模型 不确定性 |
| 英文关键词:structural reliability optimization non-probabilistic set-theoretic reliability non-probabilistic set-theoretic stress-strength interference model uncertainties |
| 基金项目:国家自然科学基金(10872017);高等学校学科创新引智计划(B07009)资助项目. |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| Considering the uncertainties in structural system,the non-probabilistic reliability optimization method for structures is proposed based on the non-probabilistic set-theoretic model for structural reliability.In this method,the uncertainties are considered as interval numbers,and the non-probabilistic 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. |
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