多级递阶工程系统抗地震设计整体优化的计算实现
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摘要
针对多级递阶工程系统结构特点 ,以结构设防烈度为优化指标、抗地震设计为工程背景 ,本文建立该系统整体优化的计算方法体系并付诸实现。首先 ,提出大系统整体与局部划分概念 ,从基元系统出发 ,建立有效的离散型最优化方法和算法 ,形成方法体系的基础层次 ;其次 ,根据该系统逻辑分布 ,提出整体优化的耦合法与分解法 ,构成方法体系的上一层次 ;最后 ,通过该系统本体描述数据设计 ,开发了通用分析程序 ,大量运算校验了它们的速度、精度和稳定性
Based on the engineering background of anti\|seismic design and using the structural earthquake protection intensities as the variables, the systematic global optimization methods, that comply with structural character of the multilevel hierarchical engineering system, are developed and implemented. At first, a large\|scale system is partitioned into global and local levels in the context of optimization and a discrete optimization method is proposed for the elementary level. Secondly, from the study of elementary systems, the efficient minimizing approaches and corresponding schemes for the discrete goal functions are put forward to form the secondary level. According to the logical structure of the multilevel hierarchical engineering systems, two kinds of the global optimization methods, the coupling and the decomposition methods, are presented, respectively, which constitute the first level. Lastly, a general purpose analytical program is successfully developed in terms of a well\|designed datasheet. A number of examples are included to demonstrate the speed, accuracy and stability of the methods
Based on the engineering background of anti\|seismic design and using the structural earthquake protection intensities as the variables, the systematic global optimization methods, that comply with structural character of the multilevel hierarchical engineering system, are developed and implemented. At first, a large\|scale system is partitioned into global and local levels in the context of optimization and a discrete optimization method is proposed for the elementary level. Secondly, from the study of elementary systems, the efficient minimizing approaches and corresponding schemes for the discrete goal functions are put forward to form the secondary level. According to the logical structure of the multilevel hierarchical engineering systems, two kinds of the global optimization methods, the coupling and the decomposition methods, are presented, respectively, which constitute the first level. Lastly, a general purpose analytical program is successfully developed in terms of a well\|designed datasheet. A number of examples are included to demonstrate the speed, accuracy and stability of the methods
引文
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[5] JinghuaZhu andHuiyuXue.Transient analysis ofgeometrically linear and nonlinear structures by acombined finite-element-riccati-transfer substructuremethod[J].Int.J.NumericalMethodsinEngineering.NewYork,1993,36(9):1509-1518.
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[8] 王光远.简单工程系统抗地震设计全局优化的直接解法[J].土木工程学报,1998,6:7-15.(WangGuangyuan.Directsolution of global optimization ofsimple engineering system under earthquake[J].Journal ofCivilEngineering.1998,6:7-15.(inChi-nese))
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[13]朱靖华,薛惠钰.结构谐振动力响应的有限元、动凝聚、迁移子结构法[J].计算结构力学及其应用,1991,2:203-207.(ZhuJinghua andXueHuiyu.Dynamicanalysis forresponse of structures by a compound fi-nite element,dynamic condensation and transfersubstructure method[J].ComputationalStructuralMechanicsandItsApplication,1991,2:203-207.(inChinese))
[2] 朱靖华.多级递阶工程系统的全局优化[D].哈尔滨工业大学,1999.(ZhuJinghua.GlobalOptimizationofMultilevelHierarchicalEngineeringSystem[D].HarbinInstitute ofTechnology,1999.(inChinese))
[3] 王光远,顾 平,吕大刚.基于规范和最优设防烈度的抗地震结构优化设计[J].土木工程学报,1999,2:41-46.(WangGuangyuan,GuPing andLuDagang.Optimal anti-seismic design of structures based oncode and optimum aseismic intensity[J].Journal ofCivilEngineering,1999,2:41-46.(inChinese))
[4] 王光远,朱靖华.地震作用下串、并联工程系统中结构失效相关性的近似处理[J].地震工程与工程振动,1998,4:15-24.(WangGuangyuan andZhuJinghua.Approximate calculation of failure relativity simpleengineering system under earthquake action[J].EarthquakeEngineering andEngineeringViabra-tion,1998,4:15-24.(inChinese))
[5] JinghuaZhu andHuiyuXue.Transient analysis ofgeometrically linear and nonlinear structures by acombined finite-element-riccati-transfer substructuremethod[J].Int.J.NumericalMethodsinEngineering.NewYork,1993,36(9):1509-1518.
[6] 钟万勰.计算结构力学微机程序设计[M].北京:水利电力出版社,1986.129-162.(ZhongWanxie.MicrocomputerProgramDesign forComputationalStructuralMechanics[M].Beijing:HydroelectricPublishingCompany.1986.129-162.(inChinese))
[7] 王光远,朱靖华.简单复合工程系统抗地震设计的全局优化[J].哈尔滨建筑大学学报,1999,3:1-7.(WangGuangyuan andZhuJinghua.Global optimi-zation of anti-seismic design to simply compound en-gineering system[J].H arbinUniversity ofEngi-neering andArchitecture,1999,3:1-7.(inChinese))
[8] 王光远.简单工程系统抗地震设计全局优化的直接解法[J].土木工程学报,1998,6:7-15.(WangGuangyuan.Directsolution of global optimization ofsimple engineering system under earthquake[J].Journal ofCivilEngineering.1998,6:7-15.(inChi-nese))
[9] JamshidiM.LargeScaleSystemsModeling andCon-trol[M].NorthHolland,1983.63-124.
[10]《现代应用数学手册》编委会.运筹学与最优化理论卷[M].北京:清华大学出版社,1998.(CompilingCom-mittee of“Handbook ofModernAppliedMathematics”.OperationalResearch andOptimiza-tion[M].Beijing:TisinghuaUniversityPublishingCompany,1998.(inChinese))
[11]NagrathI J,GopalM.ControlSystemsEngineering[M].HalstedPress,aDivision ofJohnWiley&Sons,Inc.,NewYork,1982.73-128.
[12]朱道立.大系统优化理论与应用[M].上海交通大学出版社,1987.175-179.(ZhuDaoli.Theory andAp-plication ofLargeSystemOptimization[M].Shang-haiJiaotongUniversityPublishingCompany.1987.175-179.(inChinese))
[13]朱靖华,薛惠钰.结构谐振动力响应的有限元、动凝聚、迁移子结构法[J].计算结构力学及其应用,1991,2:203-207.(ZhuJinghua andXueHuiyu.Dynamicanalysis forresponse of structures by a compound fi-nite element,dynamic condensation and transfersubstructure method[J].ComputationalStructuralMechanicsandItsApplication,1991,2:203-207.(inChinese))
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