About this ebook
The kinematic behavior of follower establishes the basic suitability of cam for the given application. The cam profile curves are mainly responsible, at the core, for proper operation of the cam follower mechanism, as they are the main input of the cam follower system. Synthetic curves, which are generated, parametrically, through a set of known data points with desired number of curve segments, may be proved to be a major improvement over the traditional trigonometric and polynomial cam profile curves.
In present work Hermite and Bèzier curves are studied for their effect on the kinematic behavior of follower, when used as cam profile curves. Both the curves are generated by varying their different curve parameters, viz. length and direction of tangent vector for Hermite curves, and number of control points with their different positions for Bèzier curves. The kinematic behavior of follower is simulated for cam profiles using these synthetic curves in MATLAB. The resulting follower displacements, velocities, accelerations and jerks are analyzed and comparative study is performed with the kinematic behavior of cycloidal cam profile.
It is observed that the Hermite curve, when used as a cam profile, has caused 28.32% improved (i.e. reduced) maximum acceleration of follower than that obtained for cycloidal curve, while deviating from cycloidal cam profile by a maximum instantaneous difference in displacement of follower by 4.95 %. At the same time Bèzier curve has facilitated continuous jerk of follower, which is not, at all, possible by using a cycloidal curve.
Thus, it is finally concluded that the synthetic curves, when used as cam profile, are providing better kinematic behaviour of cam follower mechanism, with lower maximum velocities, lower maximum accelerations, and lower maximum values of other undesirable higher order kinematic characteristic terms with the flexibility of shape control and better support for CAD/CAM applications.
This Ebook is a master's dissertation on 'Cam Profile Analysis and Simulation using Synthetic Curves' submitted in September, 2013.
