汽轮机叶片静动特性的随机有限元方法研究

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1、华北电力大学（保定）博士学位论文汽轮机叶片静动特性的随机有限元方法研究姓名：安利强申请学位级别：博士专业：热能工程指导教师：王璋奇;彭震中20051201华北电力大学博士学位论文AbstractTheuncertainparametersofbladewhichcannotbecorrectlymeasuredorcontrolledinthedesign，manufacturing，installationandoperationresultintherandomnessofthestaticanddynamiccharacteristicsofthe

2、blade．Inthetraditionalanalysismethod，itissupposedthattheparametersofthebladearedeterministic．ItisdifficulttoexplainwhyitfailsinnormaloperationeventhebladeisdesignedcorrectlybythetraditionaldeterministicmethodThestochasticfiniteelementhaodelofthestaticanddynamiccharacteristicsfort

3、heturbinebladeispresentedinthisthesis．ItcansolvetheuncertaintiesofbIadeparametersandobtaintheprobabilisticcharacteristicsofthestaticanddynamiccharacteristicsoftheturbineblade．Itissignificanttostudythestaticanddynamicrandomcharacteristicsandhasgreatvaluesforthereliabilitydesign，ma

4、nufactureandoperationoftheturbineblade．Basedontheanalyzingofcharacteristicsofthedesignparametersoftheblade，therotorspeedistreatedasarandomvariable，theYoung’smodulusanddensityofthematerial，thebladesize，thedampandtherestrictionofthebladerootaretreatedasrandomfieldsThelocalaveraging

5、methodisusedforthediscretizationofrandomfieldintermsofhighprecisionandrapidconvergence．ThestochasticHamiltonvariationprincipleofthedynamiccharacteristicsofbladeisderivedbythemethodofperturbationtechnique．Thedynamicstochasticfiniteelementequationofthebladeisderivedbyusingthe20node

6、iso·parametricelement，andtheformulationsofthemeanandfirstordervariationofthelinearelasticstiffnessmatrix，thecentrifugalforoestiffnessmatrix，themassmatrix，thecentrifugalforceloadvector,thesteampressureloadvectorareinduced．Thestochasticpotentialenergyprincipleofthestaticcharacteris

7、ticsofbladeisderived．andthestaticstochasticfiniteelementequationofthebladeisobtainedThemeanandthefirstordervariationexpressionofinitialstressstiffnessmatrixfordynamicfrequencyareobtainedAstochasticelasticrestrictionelementisproposedtodealwiththevariationoftheelasticrestrictionoft

8、hebladerootsTheformulationsforthemeanand