多项式曲线类二齿差活齿传动齿形设计及活齿动态响应分析

发布时间：2019-01-22 13:23

【摘要】：提出了五次多项式曲线类齿形设计方法,实现了二齿差纯滚动活齿等速共轭传动。建立复直角坐标系,依据凸轮廓线设计基本原理,建立五次多项式类齿形曲线方程,设计激波器廓线。基于转速变换和包络原理,推导出中心轮齿廓方程,并确立中心轮避免齿形干涉的设计条件,对中心轮齿顶凸齿形段最小曲率半径的影响参数进行分析,得到中心轮齿形曲率半径的变化规律。对所设计的活齿传动进行动态响应分析,建立动态响应分析方程,求解出活齿位移、速度、加速度响应,并给出活齿加速度响应谱。研究表明,高次多项式类二齿差纯滚动活齿传动齿形设计方法简单,动态响应快速、平稳。
[Abstract]:In this paper, a design method for the tooth shape of the fifth polynomial curve is presented, and the conjugate drive of the pure rolling movable teeth with two teeth difference is realized. The complex right angle coordinate system is established. According to the basic principle of cam contour design, the fifth order polynomial tooth shape curve equation is established, and the shock wave profile is designed. Based on the rotational speed transformation and envelope principle, the tooth profile equation of the center wheel is derived, and the design conditions for the center wheel to avoid the tooth shape interference are established. The influence parameters of the minimum curvature radius of the center gear tooth top convex tooth are analyzed. The change rule of curvature radius of center gear tooth profile is obtained. The dynamic response analysis of the movable tooth drive is carried out, the dynamic response analysis equation is established, the displacement, velocity and acceleration response of the movable tooth is solved, and the acceleration response spectrum of the movable tooth is given. The results show that the design method of the tooth profile of the high-order polynomial type two-tooth differential rolling movable tooth transmission is simple, the dynamic response is fast and stable.
【作者单位】：燕山大学机械工程学院;
【基金】：国家自然科学基金资助项目(51275440) 燕山大学青年教师自主研究计划课题资助项目(15LGA004)
【分类号】：TH132.41

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