碰撞振動(dòng)系統(tǒng)臨界分岔參數(shù)的確定以及不變?nèi)Ψ捣治?pdf

1、湖南大學(xué)碩士學(xué)位論文碰撞振動(dòng)系統(tǒng)臨界分岔參數(shù)的確定以及不變?nèi)Ψ捣治鲂彰宏愂縿ι暾?qǐng)學(xué)位級(jí)別：碩士專業(yè)：機(jī)械工程指導(dǎo)教師：文桂林20080507碩十學(xué)位論文AbstractThevibroimpactsystemsareextensivelyappliedinmechanicalengineeringfieldImpactsleadstostrongnonlinearitysuchthatthedynamicalbehaviorsoft

2、hevibroimpactsystemsbecomeverycomplexAndvibroimpactsystemsareusuallyhighdimensionalandmultiparametersystemsInthisthesis，theanalysesofcriticalparametersandtheinvariantcirclesareadressedBasedontheSchur—Cohncriterion，ametho

3、dofdeterminingthestableareaanditsboundaryofcriticalityintheparameterspaceisproposedWithnumericallyestimatingthevaryingrangeoftheparametersinadvance，thismethodisappliedtoaninertialshakermodelThestableareaanditsboundaryoft

4、hevibro—impactsystemaredeterminedThenumericalsimulationverifiedthemethodFurtherthedisturbancesofthecriticalbifurcationpointgiverisetodifferentkindsofbifurcationsinthesimulationsAndtheGrazing—stickingmotionisfound。Basedon

5、thePoincaremap，athreeorderTaloyserieswhichcanbeviewedasaniteratedmapiscalculatedatthefixedpointThedynamicalbehavioroftheiteratedmapisstudiedandcomparedwiththatofthesimulationsystemsByapplyingtheTheoryofCentreManifoldandN

6、ormalForms，theexistenceofinvariantcircleinvibroimpactsystemsisprovedanditsamplitudeisestimatedtheoreticallyKeyWords：Vibroimpactsystem；Inertialshaker；HopfBifurcation；SchurCohncriterion；TheoryofCentreManifoldandNormalForm；