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

9632173 Ge该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轨迹模式方法。合作研究工作是与纽约布鲁克林的OmniTek研究与开发公司在GOALI计划的教师行业方面进行的。多标称曲线和样条曲线已广泛用于计算机控制机械的运动规划。所得到的轨迹，当用傅立叶级数表示时，通常表明执行器坐标系中有相当数量的高频谐波。这种高频谐波在弹道中的存在是内部诱发振动的一个重要来源。在这个研究项目中要解决的是如何减少高速机械中的这些振动激励

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.***