基于分段Hermite保形算法的电梯平衡系数曲线的绘制  

The Calculation of Balance Coefficient Based on Piecewise Hermite Shape-preserving Interpolation

作　　者：罗志群 代清友 黄绍伦[2] 万健如[2] 

机构地区：[1]广东省特种设备检测院 [2]天津大学电气与自动化工程学院

出　　处：《中国电梯》2013年第15期16-18,22,共4页China Elevator

基　　金：国家质检总局公益性行业科研专项经费项目（2012104016,201310153）

摘　　要：牛顿插值法可以实现电梯平衡系数曲线的绘制，但是由于直接采用高阶插值容易造成Runge现象．导致曲线失真。对此．提出一种采用分段Hermite保形插值实现曲线绘制的方法，该方法可以有效避免Runge现象，而且由于一阶导数连续而使得曲线更加平滑自然。最后采用Matlab完成算法的实现和实例验证。Newton interpolation is a method applied in drawing balance coefficient curves. But the Runge phenomenon will appear in the case involving with high order polynomial, which results in the distortion of a curve terribly. To solve this problem, this article presents a novel method called ＂piecewise Hermite shape-preserving interpolation＂ in yielding a smooth curve without any oscillation in both terminals. The method is realized and verified in Matlab.

关 键 词：曳引电梯 平衡系数 分段Hermite插值 保形 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]