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Solution Manual for Mechanical Vibrations, 6th Edition - Document preview page 1

Solution Manual for Mechanical Vibrations, 6th Edition - Page 1

Document preview content for Solution Manual for Mechanical Vibrations, 6th Edition

Solution Manual for Mechanical Vibrations, 6th Edition

Unlock the answers to every textbook problem with Solution Manual for Mechanical Vibrations, 6th Edition, making studying more efficient and effective.

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Page 1 of 16
Solution Manual for Mechanical Vibrations, 6th Edition - Page 1 preview imageSOLUTIONSMANUALMECHANICALVIBRATIONSSIXTHEDITIONSINGIRESUS.RAOUniversityofMiamiJanuary2016
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 2 preview imageDownloadedfromStudyXY.com®+StudyXYSdYe.o>\|iF’prE\3SStudyAnythingThisContentHasbeenPostedOnStudyXY.comassupplementarylearningmaterial.StudyXYdoesnotendroseanyuniversity,collegeorpublisher.Allmaterialspostedareundertheliabilityofthecontributors.wv8)www.studyxy.com
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 3 preview imageToLordSriVenkateswara
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 4 preview imageContentsPreface1.FundamentalsofVibration1-1-1-992.FreeVibrationofSingle-Degree-of-FreedomSystems2-1-2-1843.HarmonicallyExcitedVibration3-1-3-1384.VibrationUnderGeneralForcingConditions4-1-4-1465.Two-Degree-of-FreedomSystems5-1-5-1336.Multidegree-of-FreedomSystems6-1-6-1527.DeterminationofNaturalFrequenciesandModeShapes~~7-1-7-718.ContinuousSystems8-1-8-839.VibrationControl9-1-9-8410.VibrationMeasurementandApplications10-1-10-1811.NumericalIntegrationMethodsinVibrationAnalysis~~11-1-11-5012.FiniteElementMethod12-1-12-9613.NonlinearVibration13-1-13-5214.RandomVibration14-1-14-28
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 5 preview imageERRATA(FORTEXTBOOK)MechanicalVibrationsSixthEdition,SingiresuS.Rao(January10,2016)1.Page238Problems2.55-2.58line3changek=10,000tok=10,000N/m2.Page239Problem2.65Replace(a)bythefollowing:(a)Findwhetherthetrunkofthetreewillbuckleundertheweightofthecrownofthetreeassumingthattheweightofthecrownactsasanaxialloadatthetopofthetrunk.Assumetheheightofthetrunkas/=I=10m.3.Page253Problem2.121Addthefollowinglineafterpart(d):Assumem=10kgandk=10,000N/m.4.Page253Problem2.122‘Addthefollowinglineafterpart(d):Assumem=10kgandk=10,000N/m.5.Page254Problem2.123Addthefollowinglineafterpart(d):Assumem=10kgandk=10,000N/m.6.Page368Problem3.87line3modifytheendofthesentenceasfollows:Replace“respectively.”by“respectively,and&=m/M.”
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 6 preview imageChapter1%.>)..SFundamentalsofVibrationaJLee@=[Heed|Head,andneck-.uppertorso,uppertorsoAhhipsandlegsspinal5=fegsfipsdpespinalPEERSSe7|columnnn(ilegs#~--7shoulderP9legs<:T.(i)Gin)SeatRestraint\WindshieldoN\5)Instrument3panel.ICHE;—OTR|StEWNtoutImpactforceee1-1
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 7 preview imageunbalanced>©)unbalancedforces1forces3,E)1!Massofframe&aMassofframe,Treciprocatingengine+reciprocatingx.Tengine&!og-pdamping&fadndatienblockx”stiffnessofxy:boltsand-elasticpad«damping|blockstiffnessxpoodamping©--dlstiffnessofsoil(@)onedegreeofiFreedommodel(b)Twodegreeoffreedommodel)-od|massofbodymassofbodySuspensionofwheelsdampingrearWheelsof30°suspension©wheels(i)777(i1-2
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 8 preview image[[emassofpassengers%plusseatsE)ha<hizdamping©stiffnessofseatsaa=o-bod.dampingRo_—-ydamping2stiffnessstiffnessof\.yz"ofrearsuspensionFront"wsuspensionwheelswheelsdepiaNE:-7damping&stiffnessrissa*00»ofrearwheels77’7777(iii)®)RadiatorsheetmetalKNCenteNe¥.7BumperDriveline©)[Shockabsorber53Ll))]Plow1-3
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 9 preview image=®EINSRNSULr.SNz1k,Kp24g0~egTXX¥Eleg3Ky+2kyKy+keky~e%FXxwvAtxK--ep,Keg+*ykgksKymKe(BgrKe).tksksrzhblksrkvakgkspalakaksPAKatesKy+Kak+2KK3Kg+2KKsKgpity+ikgKsthikJ1-4
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 10 preview imageFoSE&JA’x|€TJLre©ooxz@)i+LFFiFab){tefyFromFig.(@),x=PIE(x2—X01)9,+42ICRRI(10122,+4;#verticalforceeppilibrivmfromFrg.u(b):F=F+F,(2>Momenteguilibriumaboutc’(Fig.hd):Fp2,=F,2,>SolutionofEgs.(2)and(3):f=FlapoFA4)gL,+L,22+[P}Displacementsofsprings*,amdtk;aregivenbyooBo_FlooR_Fh*1,(4+12)27Th,(G12)DisplocementofforceFcanbefoundusingEps-CsDinEg.(1:¢REPA1.SETHEE1+,1,(1,+12)Lita4p(L442)-_F(2+1;Ly(6)ISRAELTheepuivalntAp2ingconstandoftheAyslominthe1-5
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 11 preview image-gdirectionofx,Kg,“givenbyEp.(6):ike===Lr)wkbikeD):NTEPaeRce1-6
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 12 preview image<3>3Epuivalenceofpotentialenergiesgives&z2fTEEAC0)L100)+3kalods)=£fey=p4p3=Forseriesspringsi»tyandki:«0kaLESEyy=—————————KipsTRkeks123Kd+Kpfea+KakUsingenergyepuivalence,’2z23keyot=hkkyothKusO+3ksOF)+ike(eR)~Heg=ky+Kizz+R*%g+R"kefk,®=K|®2%3)2CTerty+R(st®s)ee@1)Forsimplysupportedbeam,12mSorloadotmiddle,+3i54Ged«=ee_Wbosro(27)PapT=—3-=12-36x10’NfmwhereT=(L2)(er)5mt“on._om_59.84-78=originaldeflection===200xto=—396-8447xl0™Whenspring&isadded,Keg,=&+Kg;mg)4mg@)Newdeflection=Z%_22ge=ZF=)dkeyTF©”TsC4=k+HkiSok=3%=37.08x10N/m!(b)Newdeflection=+.3;k=2mLgJ?75,k=%,z12:36x10N/m=k+Kk,©)Newdeflection=TZ4mflection==24;key®$F_4,%383Cik=dk=402x10Nm=+k,Ef1-7
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 13 preview image>i»)ForbarwithlengthL,YoungsmodulusEandE)cross-sectionA,Theaxialstiffness(x)isgivenby&=AEa]af®=7whencross-sectionissolidcircularwithdiameterd,area=A=Td,(2)whencross—sectionissguarewithsided.ove=Ap=4(3)Whencross~sectioniShollowcircularwithmeandio.dandwaltthicknesstzo-1d,area=TTdt=Td(61d)=oT4%(CY)}Forspecifiedvalueofk=%&,cross-sectionareasicedis:fereguirisA=KL=c(constant(CD)Weightofbar:withsolidcircularsection:cw=rdL=clkwithd=RES©>withhollowciceularsection:Wy,=omdL=orm(HAE)L=okcb(€))withspuaresection:=okwy=dL=%C|=4w,=2732Wi8))™Ed+Theshaftwiththehollowciceularcross-sectioncorrespondsfominimumweight.eyerm1-8
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 14 preview image>>@Stiffressofocantileverbeamunderobending3wvforceoffreeend=5<p)JLForoApresfledvalueof*k=%,I=zl-=Cc=constant(©)3ForaSolidcircularsectionwithdiameterd5CLh_64REE3)I===c=4d=ord==>(weightofbeam=Wy=wd*f—-wk6c4%Jets=3.5449{JC“)forahollowcircularsectionwithmeandiameterdandwollthicknesst=o:1d,weightofbeam(wp)is:wozI(do—d)k=ptsfey-(4-07)=Li(444)=wdtl=WHEdD—1=owREE-igoLeGDForovAguassecionwithside4d.weightofthebeam(wy)4:2wz=d*4=[REE=4.5135Lic")BycomponingEs:WY,(8)amd(6,Theminimumweight1-9
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 15 preview imagez3SpringSorceisgivenbyF=Soox+40x?(DD)2staticequilibriumoftherubbermounting(x*)under+theweightoftheeledmiomicinstrumentisgivenbyE=200=8a0x*+40x?462*®4900x"~200=o(2Therootsofthecubiceppation(2)cambefordFromMATLABofx*=02492»—orlz4éLE447734@ThusHesalieguilibriampositionoftherubbermountingisgivenbytherealrootofEg-@):x*=02432in4>@)EguivalentlinearAleringconstantofvubbermountingokitsshoeeguilibriumposition,usingCACkeg=|=860+126x*=goo+1200(0-24%2)=got4521lb/in52>bYDeflectionofrubbeyrmountingcorrespondingfotheequivalentLinearApringconstantis:BEPEAAT.©)k=keTwor4s2tSE1-10
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Solution Manual for Mechanical Vibrations, 6th Edition - Page 16 preview imagezg@)F(x)=zoox+50x?410x?a)adLwhentheSpringundergoesasteadydeflectionof:x*=0'5induringtheoperationoftheengine,theforceexertedonthepringconbefoundosg=200(e'5)+So(05)+10(o-5)°=13.75Lb(2dEquivalentLinearSpringconstantatifAteadlydeflectionisgivenbyEy-G7):Keg=a8=200+100230egd=x=x¥2=200+loo(0:8)+30(o'5)=253.75(b/inJ1-11
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Subject
Mechanical Engineering
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Mechanical Vibrations by Singiresu ...

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