Faculty in Industry: Development of Low-Harmonic Bezier andSpline Curves For Motion Planning and Design of High-Speed Machinery

9632173 Ge这个GOALI项目开发了一种计算机辅助方法，用于合成低谐波轨迹，以减少高速机械的振动和相关控制问题。此外，还提出了高速机械优化设计的随机模式方法。 与OmniTek Research and Development，Inc.合作开展研究工作。布鲁克林，纽约根据学院在工业方面的GOALI计划。多项式曲线和样条曲线已广泛用于计算机控制机械的运动规划。当以傅立叶级数表示时，所得到的轨迹通常指示致动器坐标系中具有高频率的相当数量的谐波。在轨迹中存在这种高频谐波是内部诱发振动的重要来源。这是减少这些振动激励在高速机械，是在这个研究项目中解决。*

9632173 Ge This GOALI project develops a computer-aided methodology for synthesis of low-harmonic trajectories that would reduce the potential of vibration and related control problems of high-speed machinery. In addition,it formulates a trajectory-pattern methodology for optimal design of high-speed machinery. Collaborative research work is performed with OmniTek Research and Development, Inc. of Brooklyn, NY under the Faculty-In- Industry aspect of the GOALI program. Polynominal and spline curves have been widely used for planning motions of computer controlled machinery. The resulting trajectories, when expressed in Fourier series, generally indicate a considerable number of harmonics with high frequencies in the actuator coordinate system. The presence of such high frequency harmonics in the trajectory is a significant source of the internal induced vibrations. It is the reduction of these vibration excitations in high-speed machinery that is addressed in this research project.***