Research on electronic cam based on nurbs interpolation algorithm

Abstract

This paper discusses the influence of basic mathematical model, knot vector, control point, weight and basis function on the shape of curve. According to the mathematical principle of NURBS curve and using the equal time division interpolation method, a kind of interpolation algorithm based on Non-Uniform Rational B-Spline (NURBS) is applied to electronic cam under the precondition of meeting the design requirements. Meanwhile, combined with the practical, the impact of the constraint conditions including the velocity, the acceleration, the jerk and the chord error on NURBS curve interpolation has been thoroughly discussed. And a kind of optimization algorithm has been adopted to solve problems that the algorithm can not satisfy the requirement of the constraint conditions. The analysis of the algorithm and the simulation trial proves that, this algorithm can fit the profile curve accurately by decreasing the downloaded parameter number, and the gliding property of curve is decent when processing complex profile curve.