粒子群算法及其在结构优化设计中的应用

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1、山东建筑大学硕士学位论文proceedingsofthealgorithm．Ithasanalyzedthealgorithmformulaandparameterselectionandcomparedwithotheralgorithms，proposedapplicationprincipleofPSOdiscussedthesuccessfulapplicationofthealgorithminsomefields．(2)AmodifiedPSOispresentedinthispaper,

2、inwhichathirdextremeisinsertedtotheiterationformulatoguidethesearchdirectionofindividualsanda“flyback'’strategyisintroduced．Simulationresultsonseveralfamousbenchmarkfunctionsdemonstratethatthemethodcanobtaingoodsolutionswithhigherqualityinshortercalcula

3、tiontime，thatis，thesearchefficiencyofPSOisimproved．(3)TheprinciplesofdiscretevariableofPSOisdiscussed，themathematicalmodelisestablishe正andatypicaldiscretevariableproblem-TSPproblemissolvedbycomingdowntohumericalvaluecount．(4)Asforconstrainedoptimization

4、problems，ithasproposednewrulesforthecompetitionandselectionthroughtheintroductionoftheconceptsofsemi-feasibleregion．Ithasimprovedfitnessfunctionbasedoncompetitionandselection．Thethesishasregulatedthequalityofsemi-feasiblesolution：Semi—feasiblesolutionis

5、superiorthaninfeasiblesolution，butitisinferiorthanfeasiblesolution．Theindividualmaybeevaluatedimmediatelythroughobjectivefimctioninsemi-feasiblereglou．CombiningthecharactersofPS0．thispaperhasdesignedtheselectionofoperatingsemi·feasibleregion．Thus，ithasp

6、roposedanewevolutionaryalgorithmthroughPSOtosolveconstrainedoptimizationproblems．(5)Thispaperinvolvesfinite—elementanalysisinthisalgorithm．AstructureoptimalprogramiswritteninFortranandappliedtheprogramtobeam、trussesandframesstructure．TheresultsofthePSOa

7、lecomparedwiththatofthegeneticalgorithm，itisshownthatitisfeasibleandeffectivetoappliedthisoptimalprogramtothecivilengineeringstructuraloptimaldesign，thePSOhasahJighersearchingeffectiveness，anditisanefficientoptimalmethod，itsresultsofoptimumdesignsuperio

8、rtothoseofthesimplegeneticalgorithm．KeyWords：ParticleSwarmOptimization(PSO)，EvolutionaryComputation，Discretevariable，Constrainthandling，Structuraloptimaldesign原创性声明本人郑重声明：所提交的学位论炙是本人在导师的指导下，独立进行研究取得的成果。除文中已经注明引用的内容外，论文中不舍其他人已经发表或