Trajectory generation for high-speed machinery with minimal residual vibration using low-harmonic rational curves

Q. J. Ge; J. Rastegar

doi:10.1115/DETC1995-0093

Trajectory generation for high-speed machinery with minimal residual vibration using low-harmonic rational curves

Q. J. Ge
, J. Rastegar

Mechanical Engineering

Stony Brook University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	English
Title of host publication	21st Design Automation Conference
Publisher	American Society of Mechanical Engineers (ASME)
Pages	713-718
Number of pages	6
ISBN (Electronic)	9780791817162
DOIs	https://doi.org/10.1115/DETC1995-0093
State	Published - 1995
Event	ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium - Boston, United States Duration: Sep 17 1995 → Sep 20 1995

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	1

Conference

Conference	ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
Country/Territory	United States
City	Boston
Period	09/17/95 → 09/20/95

Access to Document

10.1115/DETC1995-0093

Cite this

@inproceedings{90ccb9eb94e7461587e9b02e8dd82260,

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",

note = "Publisher Copyright: {\textcopyright} 1995 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium ; Conference date: 17-09-1995 Through 20-09-1995",

year = "1995",

doi = "10.1115/DETC1995-0093",

language = "English",

series = "Proceedings of the ASME Design Engineering Technical Conference",

publisher = "American Society of Mechanical Engineers (ASME)",

pages = "713--718",

booktitle = "21st Design Automation Conference",

}

Ge, QJ & Rastegar, J 1995, Trajectory generation for high-speed machinery with minimal residual vibration using low-harmonic rational curves. in 21st Design Automation Conference. Proceedings of the ASME Design Engineering Technical Conference, vol. 1, American Society of Mechanical Engineers (ASME), pp. 713-718, ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium, Boston, United States, 09/17/95. https://doi.org/10.1115/DETC1995-0093

Trajectory generation for high-speed machinery with minimal residual vibration using low-harmonic rational curves. / Ge, Q. J.; Rastegar, J.
21st Design Automation Conference. American Society of Mechanical Engineers (ASME), 1995. p. 713-718 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Rastegar, J.

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

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U2 - 10.1115/DETC1995-0093

DO - 10.1115/DETC1995-0093

M3 - Conference contribution

AN - SCOPUS:85103462139

T3 - Proceedings of the ASME Design Engineering Technical Conference

SP - 713

EP - 718

BT - 21st Design Automation Conference

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium

Y2 - 17 September 1995 through 20 September 1995

ER -

Trajectory generation for high-speed machinery with minimal residual vibration using low-harmonic rational curves

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