设计平面凸轮轮廓的新方法

提出了设计平面凸轮轮廓的相对运动法,这是一种适用于各种平面凸轮轮廓设计的通用方法。利用从动件相对凸轮运动的相对速度、相对加速度和从动件的表面法线确定平面凸轮的轮廓方程、压力角和曲率半径是该方法的基本原理。通过建立基于反转原理的通用模型、坐标系和齐次坐标变换技术,导出了平面凸轮的轮廓方程、压力角和曲率半径的一般表达式。该推导过程不仅适用于手工完成,而且为平面凸轮轮廓设计的智能化、自动化打下了基础。根据设计的自动推导和求解策略,用C++和OpenGL语言开发了计算机辅助设计程序实现了平面凸轮轮廓设计和机构运动仿真的自动化。最后,给出了设计和仿真实例。

NEW APPROACH TO PROFILE GENERATION OF DISK CAM MECHANISMS

A new approach, called a relative motion method (RMM), is proposed for designing the shape of the disk cam, which uses the relative velocity, relative acceleration and normal line at the contact between a follower and a cam to discover the profile coordinate, the pressure angle and the radius of curvature on the cam. Their general expressions are derived based on an inverse model with special coordinate systems and homogeneous transformation techniques. It is characterized by the procedures of derivation and solution not only manually but also with computers. According to the designed strategy, a program for design automation of shape of the disk cam and the kinematics simulation of this kind of mechanism is developed using the proposed approach with C++ and OpenGL language. Finally, an example is given.