多變量非虧損振系的逆靈敏度參數(shù)修正方法.pdf

1、復旦大學博士學位論文多變量非虧損振系的逆靈敏度參數(shù)修正方法姓名：陳力奮申請學位級別：博士專業(yè)：流體力學指導教師：張文王文亮2000.11.1■■AnInverseSensitivitymethodforParametricCorrectionofMultivariableNondefectiveSystemsAbstractFinite／boundaryelementmethodfordiscretemodelingoflargecom

2、plexstructuresinthefieldsofdynamicdesignhasbeenemployedwidelyatpresentGenerallyatlanalyticalmodelcannotmatchtherealcaseentirelyduetothecomplexityofthestructure，whichbringstheproblemthathowtocorrectAnewmodelingmethodforco

3、mbininganalysiswithexperiment，whichusesexperimentaldatatoupdatetheanalyticalmodel，isahotspotinthefieldsofvibrationcurrentlyAninversesensitivitymethodforparametriccorrectionchangestheanalyticalmodeldirectlyviadesignvariab

4、lesandhasfollowingcharacteristic：RegardingthemassandstiffnessmatrixasfunctionsofdesignvariablesandthecorrespondingeigensolutionsarefunctionsofdesignvariablestooUsingthefirstseveralordersfrequencytoupdatethemassandstiffne

5、ssmatrixoftheanalyticalmodelCorrectedmodelpreservingthecorrelationoforiginalmodelandrealstructure，whichisgoodtodesignandupdate1’hispaperdealswiththecaseofmultivariablenon。defectivesystemswithrepeatedeigenpairsandwillprod

6、uceanavailablemethodofinversesensitivityparametriccorrectionAndsymmetricsystemisonlythespecialcaseThemaininnovationareasfollowing：1Findanewrepresentationoftransformmatrixffromanarbitrarysetofdegenerativemodeswithrepeated

7、eigenvaluestoderivableones，whichhasmorereasonablephysicssignification2Calculatethefirstdirectionderivativesoftherepeatedrootandthecorrespondingeigenvectorsalonganarbitrarydirectionpassingadesignatepointintheparametricspa

8、ceandfindtheirfirstTaylorexpansionfurthermoreAsimpleandconvenientmethodforcalculatingthederivativesoflefteigenvectorswillbepresentedfirstlybasedonthebiorthonormalizationcondition3Provethenondifferentiabilityoftherepeated

9、rootandthecorrespondingeogenvectorsfordesignparametersForsinglevariablesystems，derivabilityisthesameasdifferentiabilityButformultivariablesystems，althoughthepartialderivativesoftherepeatedrootandthecorrespondingeigenvect

10、orsforvariousdesignparametersandtheirfirstdirectionderivativesalongvariousdirectionshavebeenfoundoutitiSalsonottobedifferentiable4Forthenondifferentiabilityoftherepeatedrooteigenpairs，theclassicalJacobeanmatrixnotonlydep