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框架结构整体承载力优化设计的改进方法

Improved Method for Optimal Design of Overall Bearing Capacity Optimization of Frame Structures
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摘要 为解决框架结构整体承载力优化设计方面存在的问题,建立了多内力组合下矩形和工字形截面几何参数的调整方法,并通过引入强化迭代系数提出了框架结构整体承载力优化设计的改进方法。首先,通过弹性模量缩减法分析框架结构在组合内力下的损伤演化过程,据此确定框架结构在构件和整体2个层面的承载力需求。然后提出了强化迭代系数并确定了其取值,据此调整构件截面强度,建立了结构整体承载力优化设计的加速迭代格式,其可保证框架结构在构件和整体2个层面上的安全性需求并优化结构耗材。同时,为实现截面强度调整在结构计算模型中的更新,建立了多内力组合作用下矩形和工字形截面几何参数调整公式,可根据截面强度调整需求进行截面几何参数的调整。最后,通过与满应力优化准则法对比分析验证了所提方法的合理性。结果表明:采用构件截面几何参数调整方法和加速迭代格式,强化迭代系数取1.001~1.020时,所提方法迭代收敛速度快,且能够获得承载性能和经济性能均优的框架优化设计方案。 In order to solve the problems existing in the optimal design of the overall bearing capacity of frame structures,the adjustment method of geometric parameters of rectangular and I-shaped sections under the combination of multiple internal forces was studied and established.By introducing the enhanced iteration coefficient,an improved method for the optimal design of overall bearing capacity of frame structure was proposed.Firstly,the damage evolution process of the frame structure under the combined internal force was analyzed by the elastic modulus reduction method,and the bearing capacity requirements of the frame structure at both the component and the overall level were determined.Then,the enhanced iteration coefficient was put forward and the value was determined,and the section strength was adjusted accordingly.The accelerated iterative scheme for the optimization design of the overall bearing capacity of the structure was established,which could ensure the safety requirements of the frame structure at both the component level and the overall level,and optimized the structural consumables.At the same time,in order to update the section strength adjustment in the structural calculation model,the geometric parameters adjustment formulas of rectangular and I-shaped sections under the combined action of multiple internal forces were established,which could be used to adjust the geometric parameters of cross-section according to the requirements of section strength adjustment.Finally,the rationality of the proposed method was verified by comparing with the full stress optimization criterion method.The results show that using the method of adjusting the geometric parameters of the member section and the accelerated iterative scheme,the convergence speed of the proposed method is fast when the enhanced iteration coefficient is 1.001-1.020,and the optimal design scheme of the frame with excellent bearing performance and economic performance can be obtained.
作者 刘嘉达仁 杨绿峰 张伟 冯瑛琪 LIU Jiadaren;YANG Lyu-feng;ZHANG Wei;FENG Ying-qi(Key Laboratory of Engineering Disaster Prevention and Structural Safety of Ministry of Education,Guangxi University,Nanning 530004,Guangxi,China;Department of Civil and Environmental Engineering,University of Alberta,Edmonton T6G1H9,Alberta,Canada;Guangxi Polytechnic of Construction,Nanning 530003,Guangxi,China)
出处 《建筑科学与工程学报》 CAS 北大核心 2020年第5期161-169,共9页 Journal of Architecture and Civil Engineering
基金 国家自然科学基金重点项目(51738004) 国家自然科学基金项目(51478125,51469004)。
关键词 整体承载力 强化迭代系数 优化设计 弹性模量缩减法 overall bearing capacity enhanced iteration coefficient optimal design elastic modulus reduction method
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