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

在第一个资助期的过程中，成功地研究和开发了用于二维空间直线-直线、直线-圆和圆-圆过渡的摆线数控重磨新方法。由于线形和可控曲率轮廓，摆线重磨可以限制冲击力和横向加速度。在大多数情况下，这会产生高而平滑的速度。这反过来又可以提高生产率和表面质量。由于具有平滑的动态轮廓，摆线重磨还有助于保护和保存传动和机械。在本资助期间，重点将放在分析和开发摆线花键作为一种面向数控的二维插补方法。根据现有的插补类型，将实现基于回旋面的插补和逼近方法。由于本项目的第一个资助期，开发的算法的一个版本将在实时环境中执行并移植到NC内核。这是为了证明回旋线插补相对于现有方法的优势。

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.