摘要
针对各种齿轮传动提出端面重合度的统一定义,并且推导其计算表达式,进一步讨论了渐开线齿轮副、微线段齿轮副和正弦齿廓齿轮副的端面重合度的计算问题。齿轮副的端面重合度定义为齿轮作用角(即一对轮齿从进入啮合到脱离啮合过程中齿轮所转过的角度)与齿轮的齿距转角的比值。根据齿轮啮合原理,由基本齿条的轮廓曲线能够获得其啮合线方程。根据所获得的啮合线方程,以及给定的齿轮副齿顶线方程,就能够根据本文的计算式得到齿轮副的重合度。对于渐开线齿轮副,该定义与众所周知的“啮合线长度与基节之比”的结果相同。该定义同样适用于非渐开线齿轮副,例如微线段齿轮副、正弦齿廓齿轮副等,而且计算结果更可靠。
Common definition and calculation formula of transerse contact ratio for all types of gears are put forward.The calculation formulae for involute gear,micro-segments profile gear,and sine-curved profile gear are discussed.The transerse contact ratio of gear pair is defined as the ratio of the action angle (the rotation angle of gear from gear-in to gear-out for one pair of teeth) to the rotation angle per pitch(or central angle per tooth).According to the theory of gearing,equation of the meshing line can be deduced from the tooth profile of basic rack.According to the equation of the meshing line and the addendum outline of the gear,the contact ratio can be calculated with the calculation formulae in this paper.For the involute gear,this definition has same effect as the well-known definition-ratio of the contact line to the base pitch.This definition of contact ratio is also suitable to other non-involute gear,such as micro-segments profile gear,sine-curved profile gear.
出处
《机械传动》
CSCD
北大核心
2005年第6期40-42,共3页
Journal of Mechanical Transmission
基金
佛山市科技发展专项基金资助(03030091)
关键词
齿轮副
重合度
作用角
齿距转角
微线段齿轮
正弦齿廓齿轮
Gear pair Contact ratio Action angle Rotation angle per pitch Micro-segments gears Sine-curved profile gears
