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THEOPENUNIVERSITYOFSRILANKADEPARTMENTOFMECHANICALENGINEERINGDIPLOMAINTECHNOLOGY(MECHATRONICS)LEVEL03ACADEMICYEAR2012/2013MEX3273 MODELINGOFMECHATRONICSSYSTEMS

ASSIGNMENTNO02INSTRUCTIONS:1. Thisassignment isbasedonBook01,Book02.Youmayrequirereferringadditionresourcesfor

moreinformation.2. Answerallquestions3. Submissionofassignmentscanbedonebyanyofthefollowingmethods

I. ByregisteredposttotheaddressgivenbelowTHECOURSECOORDINATORINMEX3273

DEPARTMENTOFMECHANICALENGINEERING

THEOPENUNIVERSITYOFSRILANKA

P.O.BOX21,NAWALA

NUGEGODA

II. Depositing it intotheassignmentbox locatedoutsidetheMechanicalEngineeringResearchLaboratoryatScience&Technologybuilding,Nawala.III. PersonallyhandingitovertotherespectiveCoordinator.(Makesurethatitisdaystamped).IV. Uploadingitontotheonlineclassroom.(Onlyforcourseswhereonlineclassroomfacilityis

available)4. Deadline for submission: 15th March 2013. Please note that late submissions will not be

entertained.

1. Amodelofanautomobilesuspensionsystemandapassenger is illustrated inFigure1.Themassofthebarisconsideredasalumpedmassof andconcentratedatapoint

G as shown below. The wheels displacement of and are offered by the

varyingroadconditionstothesystem,asillustrated.

i. Howmanydegreesoffreedomdoesthesystemconstitute?ii. Drawthefreebodydiagramfortheforcesinvolvedinthesystem.

PLEASEREADTHEFOLLOWINGINSTRUCTIONSBEFOREANSWERINGTHEASSIGNMENT

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iii. Using as generalized coordinates; derive the governing equations ofmotionfortheautomobilesuspensionsystem.

iv. Stateallassumptionsyoumake.

Figure1

2. Using DAlemberts principle, determine the mathematical model for the angularrotationforthepulleysystemdepictedinfigure2.

Figure2

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3. Consider mechanicalsystem shown in figure 3. Assume all the contacting surfaces aresmooth.Usingtheimpedancemethodfindthegoverningequationsofthemotionofthe

system.

Figure3

4. Consider opamp circuit shown in figure 4. Obtain the governing equations for thesystemandfindthetransferfunctionfor .

Figure4