基于apdl三次样条线型拱坝体形优化设计的研究

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1、摘要拱坝是一种重要的坝型，以结构合理和体形优美而著称，近年来，拱坝越来越受到大坝设计者们的重视，其应用也越来越广泛。本文基于ANSYS参数化设计语言APDL对三次样条线型拱坝的体形优化设计进行了研究，主要内容如下：1．简要介绍了拱坝建设发展概况，从拱坝几何模型、优化设计模型及优化方法三个方面概述了拱坝体形优化设计的研究进展。2．介绍了三次样条插值函数的基本理论和方法，给出了三次样条线型拱坝体形的构造方法，并建立了三次样条线型拱坝体形优化设计‘数学模型。3．论述了拱坝结构有限元分析基本理论和有限元等效应力计算方法，提出了基于APD

2、L的拱坝建模与结构分析方法，最后对白鹤滩拱坝进行了结构分析，得出比较合理的结果。4．论述了遗传算法的基本理论与方法，提出了一种加速微种群遗传算法，并给出了相应的计算步骤和优化算例。5．对白鹤滩拱坝进行了单目标及多目标的体形优化设计研究，提出了拱坝体形多目标优化的博弈方法，编制了相应的优化程序。6．最后，本文对有待于进一步研究的问题进行了讨论。关键词：拱坝体形优化三次样条插值函数APDL加速微种群遗传算法博弈论ABSTRACTArchdamisaveryimportantdamstyle，itisfamousofreasonabl

3、estructureandgracefulshape．Recently，archdamhasbeenpaidmoreandmoreattention，andhasbeenappliedmoreandmorewidely．BasedonAPDL(ANSYSParametricDesignLanguage)，theshapeoptimizationofarchdamswithcubicsplinearchringisstudiedinthisdissertation．Themainpointsareasfollows：Inchapt

4、er1，thedevelopmentofarchdamsconstructionisbrieflyintroduced，andthestate··of-the．-artofshapeoptimizationofarchdamsissummarizedfromgeometrymodel，optimaldesignmodelandoptimizationmethods．Inchapter2，basictheoryandsolutionmethodsofinterpolationfunctionsofcubicsplineareint

5、roduced．Constructionmethodoftheshapeofarchdamsbasedoncubicsplineinterpolationisbroughtforward．Then，themathematicmodelofshapeoptimizationofarchdamswithcubicsplinearchringisestablished．tnchapter3，basictheoryoffiniteelementanalysisofarchdamsandthecalculationmethodofequi

6、valentstressofFEMarediscussed．ThemethodofmodelingandstructuralanalysisofarchdamsbasedonAPDLispresented，ThestructuralanalysisOnBaihetanarchdamisputforwardasallexampleandsomereasonableresultsareobtained．Inchapter4，basictheoryandmethodsofgeneticalgorithmarediscussed，Ana

7、cceleratedmicro—geneticalgorithmisproposedfortheoptimizationofstructures，someexamplesdemonstrategoodperformanceofthenewalgorithm．Inchapter5，theshapeoptimizationofBaihetanarchdamwithsingleobjectiveandmulti-objectivearestudied．AnGameTheory-basedmethodisproposedfortheMu

8、lti—objectiveoptimizationofarchdamshape，andthecorrespondingcomputerprogramisalsocompleted．Finally,someproblemswhichneedtObestudiedf