不完全齿轮变向传动机构设计与仿真

Design and simulation on imperfect gear direction-changing transmission mechanism

曲柄连杆机构、凸轮机构和偏心轮机构常用来将连续运动转化为往复运动,但这些机构没有恒定的传动比,高速运转时存在较大的冲击力。基于齿轮传动平稳和恒速比的特点,文中研究了一种不完全齿轮机构。该机构可以实现输入转动恒向,输出转动高频变向,并且具有恒定传动比。文中将机构约束转化成超定方程组,并通过Matlab编程求解出符合条件的各部分齿数。在讨论防止干涉时,用到了螺纹连接齿轮,该方法能很好地解决齿轮啮合时相位偏差问题。最后的运动仿真验证了方程组求解的正确性,也证实该机构输入输出不但能够保持严格的传动比,其输出转动频率也可随输入的转速而改变,可控性好。

The crank and connecting rod mechanism, the cam mechanism and the eccentric wheel mechanism are used to transform the continuous movements into the reciprocal movements, yet these mechanisms have no constant transmission ratio and there exist rather large impact force while operating at high speed. Based on the characteristics of stable gear transmission and constant speed ratio, a kind of imperfect gear mechanism was studied in this paper. This mechanism could realize a constant direction of inputting rotation, a high frequency variable direction of outputting rotation and possess a constant transmission ratio. The mechanism constraint was letting to be transformed into a super-stable equation set in this paper, and the tooth number of every part of gear that accord with conditions was solved out by means of Matlab programming. The thread linking gear was applied while the interference prevention was being discussed; this method could quite nicely solve the phase deviation problem during the engaging of gears. The final movement simulation verified the correctness on solving the equation set; and it is also proved that the input and output of this mechanism could not only maintain a strict transmission ratio but its outputting rotation frequency with a good controllability could variate along with the inputted speed as well.