๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The speed-controlled interpolator for machining parametric curves

โœ Scribed by S.-S. Yeh; P.-L. Hsu


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
242 KB
Volume
31
Category
Article
ISSN
0010-4485

No coin nor oath required. For personal study only.

โœฆ Synopsis


Modern CNC systems are designed with the function of machining arbitrary parametric curves to save massive data communication between CAD/CAM and CNC systems and improve their machining quality. Although available CNC interpolators for parametric curves generally achieve contouring position accuracy, the specified feedrate, which dominates the quality of the machining processes, is not guaranteed during motion. Recently, some approximation results concerning motion speed have been reported [Shpitalni M,


๐Ÿ“œ SIMILAR VOLUMES


Parametric interpolator versus linear in
โœ Daniel C.H. Yang; Tom Kong ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 789 KB

The paper presents a comparative study of linear and parametric interpolators used for command generation during CNC machining. For many decades, linear interpolators have been used in NC machines for command generation. Recently, a parametric interpolator has been developed that is designed for com

A parametric interpolator with confined
โœ Tsehaw Yong; Ranga Narayanaswami ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 457 KB

Parametric interpolation has many advantages over linear interpolation in machining curves. Real time parametric interpolation research so far has addressed achieving a uniform feed rate, confined chord errors and jerk limited trajectory planning. However, simultaneous consideration of confined chor

Real-time surface interpolator for 3-D p
โœ Rong-Shine Lin ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 430 KB

The conventional approaches for surface machining use a sequence of straight lines to approximate the part surface. These straight lines are subsequently translated into linear g-codes by a post processor, and then sent to the CNC system. This process limits the surface machining capability of CNC s

Curve interpolation based on the canonic
โœ Spiros G. Papaioannou; Marios M. Patrikoussakis ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 536 KB

We use the canonical equations (CE) of differential geometry, a local Taylor series representation of any smooth curve with parameter the arc length, as a unifying framework for the development of new CNC algorithms, capable of interpolating 2D and 3D curves, represented parametrically, implicitly o

A novel approach to the convexity contro
โœ Duan, Qi ;Wang, Liqiu ;Twizell, E. H. ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 103 KB

## Abstract A method is presented for controlling the convexity of interpolant curves based on a rational cubic interpolating function with quadratic denominator. The key idea is that the uniqueness of the interpolating function for the given data is replaced by the uniqueness of the interpolating