非对称结构形式的不完全齿轮机构设计

王成志1，王淑可2，王云超1，熊锋1

（1.集美大学机械与能源工程学院，福建厦门361021；2.福建省永安市林业局，福建永安366000）

来稿日期：2017-05-26

基金项目：国家自然科学基金资助项目（51575233）；福建省自然科学基金资助项目（2012J01225）

作者简介：王成志，（1962-），男，福建人，硕士研究生，教授，硕士生导师，主要研究方向：机构学、CAD 、科学计算可视化、光学测量研究1 引言

不完全齿轮机构因其结构简单，制造容易，在现今的自动化

工厂生产线中仍然还利用它来完成分度和间歇运动，甚至用其实

现多重速比输出[1]和变向反复运动[2]。文献[3-6]等讨论了渐开线不完

全齿轮的设计方法。这类文献在设计时，都采用了以下处理方法：

（1）当从动轮处于停止状态，从动轮的齿形对称于两轮连心线；（2）主动轮的首齿与末齿齿高都要降低（首齿齿高略低于或等于末齿齿高）。这种方法虽然设计简单，但削齿可能会造成首对齿与第二对齿的重合度小于1，产生二次冲击。文献[7]提出增大中心距的方法，虽然不削短首齿齿高，但其仍然是按从动轮的齿形对称于两轮连心线来设计的，且增大中心距也仍然可能降低重合度。另外，目前通常利用两轮靠近从动轮齿顶的轮缘作锁止弧，从而

摘要：不完全齿轮常采用停止位时从动轮齿形对称分布，同时降低主动轮首末齿齿高的方法进行设计。为避免重合度小于1，这种方法需要的主从动齿轮全齿数较多。提出了停止位时从动轮齿形非对称布置的设计方法，推导了设计计算公式，画出了首对齿与第二对齿的重合度分布图、始啮和脱啮位置的角加速度图。通过分析表明，选择标准齿高两齿轮齿顶的啮出区交点作脱齿定位点，可保证啮入和啮出刚性冲击较小，并使机构完全避免产生二次冲击。锁止弧位置灵活，使从动轮锁止弧弧长不再受限于首末齿驱动转过的齿数K 值，可用作主从动轮的全齿数可以比较少，结构更加紧凑；主动轮末齿齿顶高不必降低，从动轮可采用全齿轮。

关键词：不完全齿轮；非对称结构；刚性冲击；齿顶高系数；锁止弧

中图分类号：TH16文献标识码：A 文章编号：1001-3997（2017）11-0109-05

Asymmetrical form of Incomplete Gear Mechanism

WANG Cheng-zhi 1，WANG Shu-ke 2，WANG Yun-chao 1，XIONG Feng 1

（1.College of Mechanical and Energy Engineering ，Jimei University ，Fujian Xiamen 361021，China ；

2.Forestry Bureau of Yong ’an ，Fujian Yong ’an 366000，China ）

Ａbstract ：The methodology for designing the incomplete gear is supposed that the configuration of the tooth distribution on the driven gear at stationary location is symmetrical to the center line of the meshing gears and the addenda of the first and last teeth in driving gear should be reduced symmetrically ，and a engineer should choose the more numbers of teeth on the complete gears for preventing the contact ratio being less than one.A new methodology is proposed to design the form of asymmetrical configuration of the teeth distribution on the driven gear at stationary location and its design formulae are derived from the geometrical position.The contour maps reflecting the contact ratio between the first pair and the next pair of teeth and the curves expressing the relationship between the stationary locations of the driven gear and its angular accelerations at beginning and leaving point of contact are drawn.Analyses show that choosing the intersection between the addendum circles at mesh out side as the stationary location of driven gear can be kept the rigid impulse occurred at the beginning and leaving point of contact in the proper smaller values ，and the impulse secondly occurred during the mesh is completely avoided.The positions of locking arcs can be flexibly chosen ，and the arc segment of a locking arc on driven gear is no longer limited to the K value ，which is the tooth number of driven gear contained in the arc between the two intersections of the addendum circles.The smaller numbers of gears when fully filled with teeth to forming complete gears ，therefore ，can be chosen as candidates and the smaller dimension of the mechanism may be designed.The addendum of the last tooth on driving gear should be not reduced and the driven gear may be the complete gear.

Key Words ：Incomplete Gear Mechanism ；Ａsymmetrical Configuration ；Rigid Impulse ；Ａddendum Coefficient ；Loc-king Ａrc Machinery Design ＆Manufacture 机械设计与制造第11期

2017年11月109

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