1127.接觸問題的等幾何分析理論與算法研究

1、聲明本學(xué)位論文是我在導(dǎo)師的指導(dǎo)下取得的研究成果，盡我所知，在本學(xué)位論文中，除了加以標(biāo)注和致謝的部分外，不包含其他人已經(jīng)發(fā)表或公布過的研究成果，也不包含我為獲得任何教育機構(gòu)的學(xué)位或?qū)W歷而使用過的材料。與我一同工作的同事對本學(xué)位論文做出的貢獻(xiàn)均已在論文中作了明確的說明。研究生簽名：舡刊3／年5見日學(xué)位論文使用授權(quán)聲明南京理工大學(xué)有權(quán)保存本學(xué)位論文的電子和紙質(zhì)文檔，可以借閱或上網(wǎng)公布本學(xué)位論文的部分或全部內(nèi)容，可以向有關(guān)部門或機構(gòu)送交并授權(quán)其

2、保存、借閱或上網(wǎng)公布本學(xué)位論文的部分或全部內(nèi)容。對于保密論文，按保密的有關(guān)規(guī)定和程序處理。研究生簽名：毛每加刎j^年婦z，婦碩士學(xué)位論文接觸問題的等幾何分析理論及算法研究AbstractIsogeometricaa11alysis(IGA)me也odisakindofnumericcomputationmetllodpr叩osedbyProfessorHu曲esin2005Itspu印oseistoachieveun畸be似eenCAD

3、a工ldCAED嘶ngprocessesofbo也geom確cmodelillgaJldmechanjcanallysis，theuIlifiedgeometricrepresentationisusedinIGA，ienonunifo姍rationalBSplinesQmRBS)cun，esandcurvedsurfacesareappliedtoconstmctexactgeome仃icmodel，aIldmeanwhjletobe

4、analysismodelIGAcanaVoid10ssofexactgeOmetrici11fomationinconventionalf蕊teelementmethod(FEM)duetousingapproximategridsUnder廿leback口oundoftheNationalNaturalScienceFoulldationProject“IsogeometricAnaJysisofSlidingContactbe觚e

5、enProjectilea11dmfle”，inVestig撕onisconcemedwimcontacta11alysisbyIGAin“s齜sisBaSicmeoryofNURBSandIGAisinnoducedinchapter2Thealgo打cllmofIsogeometricaaIlaJysisisderiVedbasedonGalerl(inmethod，wmchwasquitesimilartothefr鋤eworko

6、f仃aditiona】FEASomeimportantconceptssuchaLSbaSisfunctionaIlditspIIopertiesaredescribedThenlethodofbuildingNUItBScuIve，curvedsurfi略eandsolidareirltroduced，andsomeex鋤plesaI℃giVenAnisogeometric魚mle、№rkfort11enunlericala11aly

7、sisofcontactproblemsisirltrl)ducedinch印ter3ThecodeofisogeometriccontactanalysisisⅥ哦ttenbyMat11ematicaTheHertzcOntactproblemisusedasanumericalex啪pletoValidatetheisogeometriccontactcodefor2Dproblems，aJldtheresultisquitesim

8、ilartothet11eoreticalsolutionTheinnuenceofthepenal夠par鋤eterValueoncalculationprecisionarediscussed，aIldanaugmentedmethodforisogeometriccontactproblemisevaJuatedwhjchcanalleviateme試nuenceofpenaltypar鋤eterThemodelingmeⅡ10d

9、bsaedonmultipatchNURBSisdiscussedinthisthesisTheisogeometricaIlaJysismemodisuSedtoanalysisthecontactproblemofinv01utegear仃msmission，aJldtlleresultiscompared謝mtraditionalfilliteelementanalysisresults7nlecontactbe鉚engunbar

10、relandprojectileisanalyzedThecorrectnessofisogeometricacontactaIlaJysisisconlpared謝tht11etlleoreticaLlsolutionaJldtllefilliteelememanalysisresultsIn1ightof2Dd)r11鋤iccontactproblem謝t11銜ction，dyll鋤iccontactdetectioniscaHie

11、doutonNURBScurvesNumericcomputationofdyn鋤iccontactbet、Ⅳeen鉚oblocksisconducted，andwhichcaIlValidate也eproposedd)r11鋤iccontactaJgori‰En孕avingproblem晰nl伍c廿onisex鋤ined，andtllereslutsfbmIGAarecompared謝th廿10se舶mFEAincluding1ine