基于MATLAB的齿轮间隙非线性动力学仿真研究

MATLAB3(,210013):,,,MATLAB/Simulink,,,:;;;MATLAB:TH132.41;TP391.9:A:1008-5300(2008)05-0058-03SimulatedStudyontheGearGapNon2linearDynamicsBasedonMATLABSHENGGuo2liang(NanjingResearchInstituteofElectronicsTechnology,Nanjing210013,China)Abstract:Geardriveiswidelyusedintheradarantennapedestaltransmissionsystem.Atpresentitisdevelo2pingtowardhighspeed,lownoise,thelightweightandhighprecision.Thisarticlefocusesattheradaranten2napedestalgeardrivesystemcharacteristics,andestablishesagearclearancenon2linearitysingledegreeoffreedommathematicalmodel,takingitslastpairofinvolutespurgearastheobjectofstudy,carriedoutthenumericalsimulationandsolutionusingMATLAB/Simulinktothegeargapnon2lineardynamicsmodel,italsostudiedsystemnon2lineardynamicsresponsecharacteristicsforthedifferentgeargapandprovidedatheoreticalbasisfordesigningreasonablegeargapinthefutureengineeringpractice.Keywords:geardrive;geardynamics;clearance2typenonlinearity;MATLAB0,,,,[1-4],,,,,,1,--,,,,,,,,11rb1rb2,;I1I2;12;T1T2;Cg85Electro-MechanicalEngineering20082452008.Vol.24No.53:2008-05-18©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.();e()1:x..+2x+f(x)=Pm+Pacos(Št+0)(1):,,f,2b,f:f(x)=x-bxb0-bxbx+bx-b(2),,,2MATLAB/Simulink,;,,,,,,,MATLAB/Simulinkode45(Runge2Kutta)MATLAB/Simulink,(1),x1=x,x2=x1,(1):x1=x2x2=-2x2-f(x1)+Pm+Pacos(Št+0)(3),x1(),x2,(3)MATLAB/Simulink[5]Simulink,,,SimulinkMATLAB,Simulink223MATLAB/SimulinkMATLAB/Simulink,:(1);(2);(3)Poincare;(4);MATLAB,,,,,,MAT2LAB/Simulinkb36,,,,,,,,955:MATLAB©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=104,MATLAB/Simulink,Poin2care,:[1],.[M].:,1997[2],.[J].,1999(7):807-810[3].[J].,2001(6):42-47[4],,.[J].,2005(2):37-47[5],.MATLAB7.0/Simulink6.0[M].:,2006:(1974-),,,0624©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.