@inbook{932819c6e52444be8018d8ef4048e606,
title = "Trajectory generation for high-speed machinery with minimal residual vibration using low-harmonic rational curves",
abstract = "For a given high-speed machinery, a significant source of the internally induced vibrational excitation is the presence of high frequency harmonics in the trajectories that the system is forced to follow. We develop a method for synthesizing a low-harmonic joint trajectory to reduce the potential vibration and related control problems using low-harmonic rational curves. Continuity conditions for these curves are studied and are used to develop a geometric algorithm for designing low-harmonic rational spline curves. Finally, we discuss how these low-harmonic curves may be used for trajectory generation of high-speed machinery with minimal residual vibration.",
author = "Ge, \{Q. J.\} and J. Rastegar",
year = "1995",
language = "English",
series = "American Society of Mechanical Engineers, Design Engineering Division (Publication) DE",
number = "1",
pages = "713--718",
booktitle = "21st Annual Design Automation Conference",
edition = "1",
note = "Proceedings of the 1995 ASME Design Engineering Technical Conference ; Conference date: 17-09-1995 Through 20-09-1995",
}