mechanical vibration (j m krodkiewski)

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1、436-431MECHANICS4UNIT2MECHANICALVIBRATIONJ.M.KRODKIEWSKI2008THEUNIVERSITYOFMELBOURNEDepartmentofMechanicalandManufacturingEngineering.12MECHANICALVIBRATIONSCopyrightC2008byJ.M.KrodkiewskiTheUniversityofMelbourneDepartmentofMechanicalandManufacturingEngineeringCONTENTS0.1INTRODUCTION......

2、.......................5IMODELLINGANDANALYSIS71MECHANICALVIBRATIONOFONE-DEGREE-OF-FREEDOMLINEARSYSTEMS91.1MODELLINGOFONE-DEGREE-OF-FREEDOMSYSTEM....91.1.1Physicalmodel.........................91.1.2Mathematicalmodel.....................121.1.3Problems.............................161.2ANAL

3、YSISOFONE-DEGREE-OF-FREEDOMSYSTEM......281.2.1Freevibration..........................281.2.2Forcedvibration........................341.2.3Problems.............................442MECHANICALVIBRATIONOFMULTI-DEGREE-OF-FREEDOMLINEARSYSTEMS662.1MODELLING...............................662.1.1Ph

4、ysicalmodel.........................662.1.2Mathematicalmodel.....................672.1.3Problems.............................742.2ANALYSISOFMULTI-DEGREE-OF-FREEDOMSYSTEM.....932.2.1Generalcase..........................932.2.2Modalanalysis-caseofsmalldamping..........1022.2.3Kineticandpote

5、ntialenergyfunctions-Dissipationfunction.............................1092.2.4Problems.............................1122.3ENGINEERINGAPPLICATIONS...................1512.3.1Balancingofrotors......................1512.3.2Dynamicabsorberofvibrations..............1573VIBRATIONOFCONTINUOUSSYSTEM

6、S1623.1MODELLINGOFCONTINUOUSSYSTEMS.............1623.1.1Modellingofstrings,rodsandshafts...........1623.1.2Modellingofbeams......................166CONTENTS43.2ANALYSISOFCONTINUOUSSYSTEMS..............1683.2.1Freevibrationofstrings,rodsandshafts.........1683.2.2Freevibrationsofbeams......

7、.............1743.2.3Problems.............................1823.3DISCRETEMODELOFTHEFREE-FREEBEAMS.........2143.3.1RigidElementsMethod....................2143.3.2FiniteElementsMethod....................2173.4BOUNDARYCONDITIONS.......................2253.5CONDENSATIONO