考慮土體三維波動效應時樁的縱向振動特性與應用研究.pdf

1、浙江大學碩士學位論文考慮土體三維波動效應時樁的縱向振動特性與應用研究姓名：闕仁波申請學位級別：碩士專業(yè)：巖土工程指導教師：王奎華20040201StudyonLongitudinalVibrationofPileConsidering3DWaveEffectofSoilandItsAppficationABSTRACTModelingsoilasathree—dimensionalaxisymmetriccontinuumandtaki

2、ngits3Dwaveeffectintoaccount，longitudinalvibrationofpileanditsapplicationissystematicallyinvestigatedThemainoriginalworkisasthefollowings：1Longitudinalvibrationofallintegralpilein8nuniformsoilwithendbearingboundaryorelas

3、ticbottomboundaryundergoingverticalharmonicloadistheoreticallyinvestigatedThepileisassumedtobevertical，elasticandofuniformcross—section，andthesoilisregardedasalinearvisco—elasticlayerwithhystereticdampingWiththeaidoftwop

4、otentialsthedisplacementofsoilLayerisdecomposedandthenthedynamicequilibriumequationofitisuncoupledandsolvedfirst，ThustheresistancefactorandvibrationmodesofthesoillayerareobtainedandusedtoanalysisthepileresponseByconsider

5、ingtheinteractionbetweenthesoillayerandthepilewithboundaryconditionofcontinuityofdisplacementandequilibriumofforceattheinterfaceofsoillayerandpile，thedynamicequilibriumequationofpileissolvedandallanalyticalsolutionforthe

6、pileresponseinfrequencydomainisyielded，whichisusedtodefinecomplexstiffnessandmobilityatthelevelofthepileheadBasedontheconvolutiontheoremandinverseFouriertransibrm，asemi—analyticalsolutionofvelocityresponseintime—domainsu

7、bjectedtoasemi—sineexcitingforceisgivenAparametricstudyoftheeffectofthesegoverningdimensionlessparametersisconductedtoillustratethebehaviorofsoilpileinteraction2Longitudinalvibrationofpilewithvariableimpedance(variablese

8、ctionsormodulus)inlayeredsoilundergoingarbitraryloadistheoreticallyinvestigatedThepileisassumedtobevertical，elasticandofvariableimpedance，andthesoilislayeredandwithviscousdampingWithLaplacetransforms，thequestioncanbesolv

9、edinLaplacedomainWiththeaidofimpedancetransmitfunctions，ananalyficalsolutionfortheimpedancefunctioninLaplacedomainisyielded，soisthecorrespondinganalyticalsolutionfortheimpedancefunctioninfrequencydomain，semianalyticalsol

10、utionofvelocityresponseintime—domainsubjectedtoasemisineexcitingforceandmobilityatthelevelofthepileheadBasedonthesolutionsproposedherein，theLongitudinalvibrationpropertiesofanintegralpileinauniformsoilorlayeredsoil，apile

11、withvail曲lesectionsorvariablemodulusinaunifoHTlsoilarediscussedrespectivelyTheinfluenceonthecurvesofcomplexstiffness，mobilityandreflectionwaveofpilecausedbysoilmodulusthedegreeofpiledefects，andthelengthandlocationofpiled

12、efectsateemphaticallydiscussed，3AcomparisonismadewithavailablesimplifiedtheoriessuchasthatcorrespondingtoplanestrainmodelThecomparisoninvolvesmanyaspectssuchasthesoilresistancefactorthesoilcomplexlocalstiffnessandthepile

13、complexstiffnessatthelevelofthepileheadTheapplicabilityoftheothertwomodelsisanalyzedandchecked，Itisprovedthatwhenfrequencyislowtherecanbesignificantdiscrepanciesbetweenthem，withfrequencyincreasingthesimplifiedsolutionsco

14、nvergetothenewmorerigorousone4Withvisco。elasticboundaryofsoilconsidered。theeigenvalueequationinfrequencydomainofsoildynamicequilibriumequationfallsintoacomplextranscendentalequation，Incourseofseekingitssolution，Basedonar

15、gumentprincipleandcontourintegral，withtheaidofMATLAB，twonumericalalgorithmcombinedwiththecorrespondingproceduresforsolvingtranscendentalequationsinacomplexplaneisdevelopedbytheauthorInthefirstalgorithm，asolutiontotransce