建立双级摆线钢球行星传动啮合副的力学模型,对两级啮合副和转臂轴承进行了受力分析。利用赫兹理论推导出了内、外摆线齿面的接触应力,并绘制了不同齿数时摆线齿面的应力变化曲线。结果表明,摆线齿面的接触应力随齿数的增多而减小,最大接触应力发生在内摆线槽内侧齿面上。最后,通过实例,利用Matlab计算出了该最大接触应力。对摆线钢球行星传动的设计应用提供了重要的理论依据。
The mechanical model of meshing pair was built. Force of two meshing pairs and turning arm bearing were analysed. The contact stress of hypocycloid and epicycloid tooth surface was deduced with Hertz theory. Their stress change curves were drawn with different tooth number. The results show that the contact stress decreases when the tooth number increases. And, the maximal contact stress presents to the inner tooth surface of hypocycloid groove. Real example is built and the maximal contact stress is calculated by Matlab. This research provides important theory basis for the design application of the cycloid ball planetary transmission.