1、0.700.760.820.880.930.981.031.081.131.181.23或 yxy式中:压力角,20;啮合角;z2、z1大、小齿轮的齿数。将上述三式分别除以,则得:由上述公式可以看出,当齿形角一定时,xz、yz和yz均只为啮合角的函数。在设计计算时,只要已知xz、yz、yz和四个参数中的任一参数,即可由变位齿轮的xz、yz、yz和啮合角的数值表(表2)中,查出其他三个参数,再进行下列计算。一般齿轮手册上均列有此数值表。式中正号用于外啮合,负号用于内啮合。3计算实例例1:已知一对外啮合变位直齿轮,齿数z118,z232,压力角20,啮合角2218,试确定总变位系数x、中心距变动系
2、数y及齿顶高变动系数y。解:根据2218查表2,得:xz0.01653,yz0.01565,yz0.00088由此得:例2:已知一直齿内啮合变位齿轮副,齿数z119,z264,20,啮合角2118。求x、y及y。根据21xz0.00886,yz0.00859,yz0.00027。其他几何尺寸计算按常规计算进行。此外,变位齿轮的公法线长度的变动量W2sinxm,当20时,公法线长度变动量W0.684xm,式中x为变位系数,应计及正、负号。因此,变位齿轮的公法线长度为:WkWk*m0.684xmWk*某齿数齿轮跨测k齿时,模数m1的公法线长度。表 2变位齿轮的yz、xz、yz和啮合角(20)(分)
3、192021yzxzyz12345670.006166065965865765665565465365260.006015925825735635545445355255150.000150140130120110.000000210320420530640750850960430860000.006556666776897007117227347457560.006716836947067187307427547667780.000160170180190200220.005165064964864764664564454354250.005064774674574484384284180.
4、000100100090080070.001061171281391491601711821922030.001071181291501611721831942050.000010010020.007687797908028138258368478598700.007898018148378508628748868980.000220230240250260270282122232425262728290.004154053953843743643543443333230.004083983893793693593493393293190.000070060050040.00214225236
5、2462572682792903013120.002162272382492602712822933043150.000020030.008828939059169289399519629749850.009109239359479599729849960.010090.00029030031033034035036303132333435363738390.003133032922722612512412302200.003092992892692592282180.000040.003233343553663773883994104210.003263383603713833944170.
6、009970550670870901020.010330460580700830951081211331460.00036037038039040041044404142434445464748490.002101991891781681581471371261160.002081981871771671571361150.004324434544654874995105215320.004394514624734855085195315420.011131251481841952072190.011581962092222352472730.0004504704804905005105205
7、4505152535455565758590.001050840740630.005435535655885996106216326440.005545775896006126246366476590.000110150.012312432542662783023143253370.012863113243503633764020.00055056057059060061062065600.000000.013490.014150.000663613733853974094334414804945075205330680690710730760.020850971101221351731860.02238252267281296310
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