G2-steady re-grinding and interpolation method for NCs using piecewise defined clothoids (cornu spline 2)

使用分段定义回旋曲线的 NC 的 G2 稳定重磨和插补方法（cornu 样条 2）

• 批准号: 258198676
• 负责人: Professor Dr.-Ing. Alexander Verl
• 金额: --
• 依托单位: Institut für Steuerungstechnik der Werkzeugmaschinen und Fertigungseinrichtungen (ISW)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2014
• 资助国家: 德国
• 起止时间: 2013-12-31 至 2022-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/258198676?language=en
• 关键词: G2; steady; re; grinding; interpolation

In the course of the first funding period, new regrinding methods for numerical controls by means of clothoids for the straight-straight, straight-circle and circle-circle transitions in the two-dimensional space have been successfully investigated and developed. Due to the linear and controllable curvature outline, the clothoid regrinding enables a limitation of the jerk and the transverse acceleration. In most cases, this results in a high and smooth velocity. This, in turn, can lead to an improved productivity and surface quality. With the smooth dynamic profile the clothoid regrinding also helps to protect and conserve drives and mechanics.In this funding period the focus will be on the analysis and development of clothoid splines as a two-dimensional interpolation method for numerical controls. According to the available interpolation types in the state of the art, interpolating as well as approximating methods based on clothoids will be implemented.As in the first funding period in this project a version of the developed algorithms will be executed in a real-time environment and ported to an NC kernel. This is to demonstrate the advantages of clothoids for the interpolation over current methods.

在第一期资助期间，成功研究和开发了二维空间中直-直、直-圆和圆-圆过渡的回旋曲线数控重磨新方法。由于线性且可控的曲率轮廓，回旋曲线重磨能够限制加加速度和横向加速度。在大多数情况下，这会产生高且平稳的速度。反过来，这可以提高生产率和表面质量。凭借平滑的动态轮廓，回旋曲线重磨还有助于保护和节省驱动器和机械装置。在本次资助期间，重点将放在回旋样条作为数控二维插值方法的分析和开发上。根据现有技术中可用的插值类型，将实施基于回旋曲线的插值和近似方法。与该项目的第一个资助期一样，所开发算法的一个版本将在实时环境中执行并移植到 NC 内核。这是为了证明回旋曲线相对于当前方法的插值优势。