平面四杆机构最小传动角位置的确定

182辽宁工学院学报Vol.18　No.219986JOURNALOFLIAONINGINSTITUTEOFTECHNOLOGYJun.1998张世娴　孙　博　董桂英()根据四杆机构的杆长关系,具体给出了最小传动角的准确位置。曲柄摇杆机构;曲柄滑块机构;导杆机构;传动角TH112.1,,min,图11　曲柄摇杆机构的最小传动角,1.BCD90,BCD;BCD90,=180-BCD.,B1C1D=arccosb2+c2-(d-a)22bc(1)B2C2D=arccosb2+c2-(d+a)22bc(2),b2+c2=a2+d2,b2+c2a2+d2,b2+c2a2+d2.1.1b2+c2=a2+d2cos(B1C1D)=adbc0(3)cos(180-B2C2D)=adbc0(4)B1C1D90,B2C2D90,min=B1C1D=180-B2C2D.b2+c2=a2+d2,1.2b2+c2a2+d2cos(B1C1D)=b2+c2-(d-a)22bcadbc0(5)B1C1D,B2C2D90,B1C1DB2C2D,B2DB1D,B2C2DB1C1D,min\%=B1C1D.B2C2D90cos(180-B2C2D)=(a+d)2-b2-c22bcadbc(6)(5)(6)180-B2C2DB1C1D,min=B1C1D,b2+c2a21997619:,1964,,169,,121001.+d2,,min=B1C1D=arccosb2+c2-(d-a)22bc.1.3b2+c2a2+d2cos(180-B2C2D)=(a+d)2-b2-c22bcadbc0(7)B2C2DB1C1D90,B1C1DB2C2D,B2DB1D,B2C2DB1C1D,180-B2C2D180-B1C1D,min=180-B2C2D.B1C1D90cos(B1C1D)=b2+c2-(d-a)22bcadbc(8)(7)(8)180-B2C2DB1C1D,min=180-B2C2D=180-arccosb2+c2-(d+a)22bc.b2+c2a2+d2,图22　曲柄滑块机构的最小传动角2,cos=d/b,,d,,min=arccosa+eb.90.3　结　　论(1),b2+c2=a2+d2,min=arccosadbc.b2+c2a2+d2,min=arccosb2+c2-(d-a)22bc.b2+c2a2+d2,min=180-arccosb2+c2-(d+a)22bc;(2),;(3)90.1　孙　桓.机械原理.高等教育出版社,1996.154～1552　于佩政.平面摇杆机构力的最佳传动条件.机构设计与研究,1990,(3):39～41DeterminationofthePositionofaMinimumTrans-missionAngleinthePlaneFour-LinkMechanismZhangShixian;SunBo;DongGuiyingKeywords:crankandrockermechanism;crankandslidermechanism;guiderodmechanism;transmissionangleABSTRACTAccordingtorelationshipbetweenthelengthofthelinkingrodsofthefour-linkmecha-nism,thepaperproposesanaccuratelocationoftheminimumtransmissionangle.(ReceivedonJun.19,1997)36辽宁工学院学报182