数控英语翻译一、 Translate the following contents into Chinese (100分

数控英语翻译一、 Translate the following contents into Chinese (100分)Real-time P-H curve CNC interpolators for high speed corneringJavad Jahanpour & Behnam Moetakef ImaniReceived: 10 May 2007 / Accepted: 21 August 2007 / Published online: 28 September 2007Abstract: In this paper, real-time Pythagorean hodograph (P-H) curve CNC interpolators are used for high speed corner machining. There are large contouring errors around sharp corners when low-bandwidth servo controllers (such as P-PI control) are used. In order to decrease the amount of the cornering errors, an improved interpolation method is proposed. The first deceleration phase of motion and the over-corner P-H curve constructed for regions with sharp corners are devised by quadratic and constant velocity interpolation algorithms, respectively. The geometric parameters of the over-corner P-H curve and the feed rate along the modified tool path are computed by pattern search algorithm in order to reduce the maximum cornering error. The proposed interpolation algorithm is implemented for symmetrical and unsymmetrical corners. The results ofsimulation, such as the cornering error and the total cornering time, are compared with previously published methods. It has been observed that the developed over corner P-H approach can substantially reduce the amount of cornering error.Keywords: Numerical control . P-H curves . Real-time CNC interpolators . Physical constraints .Cornering error . Pattern search algorithm1 IntroductionMaintaining tool path accuracy and total machining time are among the most important objectives of high speed finishing operations performed on complex parts such as dies and molds. During machining, tool paths with large geometric variations, such as sharp corners, must endure either sudden changes of direction on axis movements or a sudden stop of motion, both of which can result in large cornering errors. The amount of this error depends on the servo axis parameters and the feed rate along the tool path [1]. One method of reducing the tracking error of a sharp corner is to substitute a sharp corner with a smooth curve. Jouaneh et al. [2–4] introduced a circular arc and the double clothoid curves in the vicinity of corners to obtain a smooth tracking motion in robotic applications. Later, Kanayama and Miyake [5] substituted sharp corners with double clothoid curves in order to smoothen the motion transition when tracking corners for a mobile robot. Erkorkmaz et al. [6] replaced the line segments of the corner area with two and three-segment quintic splines. They implemented their algorithm for 30°, 60°, and 90° symmetrical corners with a constraint of 30 μm for the cornering error. They introduced over-corner and under-corner methods for the P-PI servo controller and the sliding mode controller, respectively. They proposed seven phases of motion along the modified tool path for the over-corner method as follows: