Chapter 2 Kinematic Analysis of Plane Systems

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1、Chapter2KinematicAnalysisofPlaneSystemsContents§2-1Overview...................................................................................................................1§2-2Necessaryconditionsofgeometricinvariantplanesystems.....................................2§2-3Basicprinciplesofconfigurat

2、ionofplanegeometricinvariantsystems..................62-3-1Two-rigid-bodyrule...........................................................................................62-3-2Three-rigid-bodyrule.........................................................................................82-3-3Applicatio

3、noftherulesofgeometricvariance..................................................9§2-4Examplesofkinematicanalysisofplanesystems..................................................10§2-5Geometricinvarianceandstaticdeterminacy.........................................................14Problems...........

4、................................................................................................................17§2-1OverviewAskeletalsystemembodiesanumberofmembersconnectedwitheachotherandwithfoundationinacertainform.Ifallthemembers,connectionsandexternalactionsareinthesameplane,thenthestructural

5、systemcanbenormallycalledasaplanesystem.Theinvestigationofthepossibilityofkinematicmotionofasystembyuseofprinciplesofgeometryisreferredtoasakinematicanalysis.Themainobjectiveofkinematicanalysisistoidentifywhatkindofsystemscanbeusedforstructuralpurposes.Intherealsense,astructurewillinevitablygenerat

6、edeformationandinternalforceswhenunderloading;however,engineeringstructuresgenerallydonotallowforexistenceofrigidbodymotionwithrespecttothefoundation.Ignoringthedeformationofthestructuralcomponents,asystemisknowntobegeometricinvariant,i.e.,thegeometricconfigurationofthesystemisstable,ifitdoesnothav

7、ekinematicmotion;otherwise,itiscalledgeometricvariant,i.e.,itsgeometricconfigurationisunstable.ThehingedtriangleinFig.2-1aisaverybasicgeometricinvariantsystemwhilethehingedquadrilateralinFig.2-1bisgeometric