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结构优化设计中压杆稳定可靠度约束的简化处理 被引量:1

Simplified Dealing of the Buckling Reliability Constraints of Structural Optimum Design
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摘要 对结构优化设计中压杆稳定可靠度约束进行了简化处理,在3类截面的压杆稳定曲线下给出临界抗力 均值、变异系数的表达式,用一个等效随机变量来代替构件抗应力与截面积的乘积,将非线性极限状态方程简化 为线性方程,推导了替代公式并有效地消除了当量化过程的误差.通过4个桁架算例的验证表明,该方法显著提高了计算效率,在满足精度要求的同时便于工程应用. The buckling reliability constraints of structural optimum design are dealt with simplified method. The expressions for the mean value and variation coefficient of buckling resistance are derived according to three types of cross section. An equivalent random variable is used to replace the product of component resistance and section area .The non-linear limit state equation is simplified as a linear equation. The substitution formulas are derived and the errors in the equivalent procedure are effectively eliminated. Four trusses have been calculated to test the theory and method. It is illustrated with the results that the method is convenient for engineering application and meets the precision needs.
出处 《北京工业大学学报》 CAS CSCD 北大核心 2001年第1期35-38,共4页 Journal of Beijing University of Technology
基金 国家攀登计划资助项目 北京市自然科学基金资助项目!(8972001)
关键词 结构优化设计 压杆稳定 可靠度约束 简化方法 structural optimum design, buckling, reliability constraints, simplified method
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