摘要
Abstract
Considering non-equivalence of parameter domain of spline and time domain, which, in continuous micro line spline reconstruction manufacturing, causes low computational speed of interpolation by interpolation with non-recursion, or great change of knot velocity and low accuracy of knot position by direct recursion interpolation with equal increment of parameter. Theories which includes parameter domain transformation method that associated parameter domain with number of interpolation period is presented, the quintic spline based on the new domain is built. Tangent vector and second derivative vector of knot pre-computation with flexible acceleration and deceleration(acc/dec) and fast recursive interpolation of reconstruction quintic spline are presented for micro line machining. The simulation and the experiment using new theories in micro line machining show that machining efficiency is increased by 3.3 times and time of recursive interpolation is about one third of the time of interpolation by curve formula. The result indicates that computational speed of interpolation is improved by spline reconstruction and fast recursion, the situation of frequent acc/dec in micro line machining is reduced by velocity planning based on the new spline, meantime, machining accuracy can be ensured, machining efficiency is raised, so performance of CNC is promoted.关键词
五次样条曲线/数控系统/参数域/速度规划/柔性加减速Key words
quintic spline/ CNC/ parameter domain/ velocity planning/ flexible acc/dec分类
矿业与冶金
