内啮合弧面凸轮机构的设计与分析

目的 研究内啮合弧面凸轮机构新的结构形式,推导其廓面方程,分析其工作性能,为其结构设计提供理论依据.方法 基于共轭曲面理论和微分几何原理,结合几何坐标变换理论推导内啮合弧面凸轮廓面方程和压力角的计算公式;运用Matlab得到压力角计算结果并进行分析;进行三维建模和ADAMS运动仿真.结果 得到了内啮合弧面凸轮廓面方程和压力角的影响因素,从动件运动规律对最大压力角影响显著,径距比越小,压力角越小.结论 弧面凸轮机构新形式的理论研究,拓展了弧面凸轮机构的应用领域,并为其结构设计提供了理论依据.

Design and Analysis of Internal Meshing Globoidal Cam Mechanism

The work aims to study the new structure of the internal meshing globoidal cam mechanism, deduct its profile equation and analyse its working performance, to provide theoretical basis for its structure design. Based on the theory of conjugate surface and the principle of differential geometry, the equations of convex profile surface of internal meshing and calculation formula of pressure angle were derived combined with the theory of geometric coordinate transformation. The pressure angle calculation results were obtained and analysed with Matlab. Finally, 3D modelling and Adams variable input motion simulation were carried out. The profile equation of internal meshing globoidal cam and the influencing factors of pressure angle were obtained. The motion law of follower had a significant effect on the maximum pressure angle. The smaller the diameter ratio was, the smaller the pressure angle was. The theoretical research on the new form of globoidal cam mechanism expands the application field of globoidal cam mechanism and provides theoretical basis for its structural design.