基于可靠度的桁架结构形状优化设计应用研究  

Applied Study on Shape Optimized Design of Truss Structure Base on Reliability

作　　者：周书敬[1] 高延安[1] 

机构地区：[1]河北工程大学,河北邯郸056038

出　　处：《煤炭工程》2013年第3期117-120,共4页Coal Engineering

基　　金：河北省自然科学基金(E2012402030)

摘　　要：传统的基于安全系数的半经验结构设计法并不能定量反映结构的可靠程度,而以概率统计理论为基础的结构可靠度设计因其能够定量反映结构的可靠程度而逐渐被推广应用。首先,讨论运用改进的一次二阶矩法建立针对桁架结构的可靠度计算模型;其次,建立以可靠度为约束条件的桁架结构形状优化设计模型;最后,通过运用应力信息熵改进的混沌粒子群算法求解。通过一个25杆桁架优化设计的算例表明,文中提出的模型和算法更具有合理性,能为实际工程结构形状优化设计提供理论和应用上的借鉴。The conventional semiempirical structure design method base on the safety coefficient could not quantitatively reflect the reliability of the structure. And the structure reliability design base on the probability statistics theory could quantitatively reflect the structure reliability and thus could be steadily promoted for the application. Firstly the paper discussed the improved first - order second - moment method applied to establish a reliability calculation model of the truss structure. Secondly with the reliability as the restrained condition, the shape optimized design model of the truss structure was established. Finally with the stress information entropy, the improved chaotic particle swarm algorithm was solved. The calculation on the optimized design of the 25 bar truss showed that the model and algorithm mentioned in the paper were more rationality and could provide the theoretical and applied references to the shape optimized design of the actual engineering structure.

关 键 词：可靠度 形状优化 信息熵 混沌粒子群优化 

分 类 号：TU323[建筑科学—结构工程] TU311