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陈思,陈骏逸(复旦大学物理系,上海200433):,,,:;;;:O321;G642.423:B:10024956(2007)12004803StudyonamplitudefrequencyresponseofvelocityresonanceinforcedvibrationCHENS,iCHENJunyi(DepartmentofPhysics,FudanUnivercity,Shanghai200433,China)Abstract:Intheexperimentofforcedvibrationandresonance,curveresponsetoamplitudefrequencyismeasuredaccuratelywithcomputer.Thedistinctionisobservedwhichisbetweenamplitudefrequencyresponseofvelocityresonanceandamplitudefrequencyresponseofdisplacementresonanceinruleandcharacteristic.Ithasbeenfoundthatthecurvewhichisgottenintheexperimentofforcedvibrationandresonancewhichusesmagneticcoreloopasdetectiveloopaccordswithamplitudefrequencyresponseofvelocityresonancevibrationinforcedvibrationbutnotamplitudefrequencyresponseofdisplacementresonancewhichisconsideredasusua.lTheresultwillhavemuchhelptoteachingandfurtherresearchonphysicsrules.Keywords:forcedvibration;resonance;velocityamplitude;displacementamplitude:20070115:20070409:(1985!),,,2004:(1963!),,,,,.,,,,,,,,,,1,,,dx2dt2+2dxdt+20x=Fmcost,(1)(1),x,m,F,ISSN1002-4956CN11-2034/TExperimentalTechnologyandManagement2412200712Vo.l24No.12Dec.2007,0,,dxdt(1)x=A0e-tcos(∀t+)+Fmcos(t+!)(20-2)2+422.(2)(2):,,;,x=Acos(t+!),(3)A=Fm(20-2)2+422,(4)AxtV=dxdt=-Asin(t+!)=V0cost++∀2,(5)(5),V0,V0=AAV0,A,Am=F2m(20-2),(6)=(20-22).V0,=0,V0m=F2m.(7),[1](6)(7),,0,[1]21,,FD-VR-A33.1(1),,,1(2),,,3.2(1),,()(2),,(3),(4)412249,:2:V0=1.880V;f0=240.45Hz;V1=V2=1.329V;f1=240.16Hz;f2=241.34Hz;#f1=0.29Hz;#f2=0.89Hz,;,[2]33(A,V)3,,,,;,;,,,,,,,A0=Fm20,,[2]V1V2,#1#2V1V2,:V1=1A1=Fm(0-#1)20-(0-#1)22+42(0-#1)2,V2=2A2=Fm(0+#2)20-(0+#2)22+42(0+#2)2.[3],V1=V2,#1#2.(8)(8),,,,,,,,,,,;,,,,2,,,0Hz,202Hz,,,,,,,,I#dBdt,dBdtV,,,,,,,,,,dBdt;,,,,,dBdt,0,,,:5,(下转第56页)508(References):[1],,.![J].,2003,20(2):3134.[2],.VB[J].,2003,19(10):3839.[3],,.VB[J].,2004(6):2427.[4],,,.[J].,2004,21(2):232236.[5],.[J].,2006,23(7):220224.[6],.VisualBasic6[M].:,2002.[7].[M].:,2006.[8].VisualBasic6[M].:,2001.(上接第50页),,,,,在本课题研究中,得到了复旦大学陆申龙教授指导帮助,在此表示感谢(References):[1],,.()[M].:,2004.[2],.:[M].,,1995(2000).[3],.RLC[J].,1996,16(3):109111.[4],.[J].,2006,26(7):69.[5].[J].,2001,20(2):37.[6].[J].,1994,13(11):59.[7],.RLC[J].,1996,15(11):56.[8],,.[J].,2001,20(7):2225.56