摆线针轮行星传动机构的设计参数对压力角的影响机理

    Influence Mechanism of Design Parameters on the Pressure Angle of Cycloid-pin Planetary Gear Transmission Mechanism

    • 摘要: 为了研究摆线针轮传动机构设计参数与压力角之间的关系,对摆线轮与针轮之间的压力角及其影响因素进行了分析.基于齿轮啮合原理,建立摆线轮齿廓的数学模型,根据摆线针轮传动机构的多齿啮合特点,推导了压力角的数学表达式,并仿真了特殊位置处摆线轮与针轮之间的啮合关系.以工业机器人用RV减速器中的摆线针轮传动机构为例,应用VC++软件编程和AutoCAD软件仿真,详细论述了机构的偏心距、针轮分布圆半径以及针轮半径等机构设计参数对压力角的影响.通过对摆线轮与针轮不同啮合状态的仿真,揭示机构设计参数对压力角的影响机理.结果表明:偏心距对机构压力角的影响显著,针轮分布圆半径次之,而针轮半径的影响可以忽略不计.该研究为摆线针轮机构的参数设计和分析提供了理论依据.

       

      Abstract: To study the relationship between the design variables and the pressure angle of cycloid-pin gear transmission mechanism, the pressure angle between the cycloidal gear and the pin tooth and its influencing factors were analyzed. The mathematical model of the cycloidal gear was established using the conjugate theory. According to the characteristics of multi-teeth meshing in the cycloid-pin gear transmission mechanism, the expression of the pressure angle was derived, and the meshing state between the cycloidal gear and the pin tooth was simulated. By applying VC++ and AutoCAD software for calculation and simulation, the cycloid-pin gear mechanism of the RV reducer used in the industrial robot joints was applied as an example to clarify the influence of design variables on the pressure angle, such as eccentricity, radius of the pin position and the radius of the pin tooth. Based on the meshing simulation between the cycloidal gear and the pin tooth, the cause of the influence on the pressure angle was revealed. Results show that eccentricity has a great effect on the pressure angle, the radius of the pin tooth position is moderate, and the effect of the radius of pin tooth can be neglected. The research provides a theoretical basis for the parameter design and analysis of cycloid-pin gear mechanism.

       

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