由于高次多项式类曲线具有无刚、柔性冲击的特点,为实现任意齿差纯滚动活齿传动,提出基于五次多项式类曲线的新齿形设计方法。基于转速变换和包络原理,推导出中心轮齿廓方程,制定中心轮避免齿形干涉的设计条件,分析中心轮齿形曲率半径变化规律,阐释活齿轴半径对中心轮齿形的影响;根据活齿传动啮合原理,以压力角表达式表征啮合特性,并对影响最小压力角及传力齿廓区间大小的表征参数进行分析,为任意齿差纯滚动活齿传动结构几何参数的选择提供了设计依据。给出设计实例,验证理论分析结果的有效性,仿真结果表明,高次多项式类任意齿差纯滚动活齿传动受力效果好,传动平稳,设计方法简单,易于形成模块化与系列化设计,具有广阔的应用前景。

As the high order polynomial curve has no rigid and flexible impact, a new model of five polynomial curves is provided to achieve any tooth-difference pure rolling movable tooth transmission. Tooth profile equations of central gear are derived based on speed conversion and envelope principle, and the design conditions of avoiding interference of tooth profile are formulated. Variation of the central gear curvature radius and influence of the movable tooth axis radius on the properties of tooth profile are analyzed. Meshing characteristics is indicated by the pressure angle based on the meshing principle of movable tooth drive, and the characterization parameters which affect the minimum pressure angle and force transmission tooth profile region are analyzed, it provides design basis for the selection of geometrical parameters of any tooth-difference pure rolling movable tooth transmission. Design examples are given to verify the validity of theoretical analysis results. The simulation example shows that this new tooth transmission design has good force effect and smooth transmission. The design method is simple and it is easy to form the modular design and series design, so it has broad application prospects.