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

Stony Brook University

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

2 Scopus citations

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 Annual Design Automation Conference
Publisher	American Society of Mechanical Engineers (ASME)
Pages	713-718
Number of pages	6
Edition	1
ISBN (Electronic)	9780791817162
DOIs	https://doi.org/10.1115/DETC1995-0093
State	Published - 1995
Event	Proceedings of the 1995 ASME Design Engineering Technical Conference - Boston, MA, USA Duration: Sep 17 1995 → Sep 20 1995

Publication series

Name	American Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Number	1
Volume	82

Conference

Conference	Proceedings of the 1995 ASME Design Engineering Technical Conference
City	Boston, MA, USA
Period	09/17/95 → 09/20/95

Access to Document

10.1115/DETC1995-0093

Cite this

Ge, Q. J., & Rastegar, J. (1995). Trajectory generation for high-speed machinery with minimal residual vibration using low-harmonic rational curves. In 21st Annual Design Automation Conference (1 ed., pp. 713-718). (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; Vol. 82, No. 1). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC1995-0093

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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.; Proceedings of the 1995 ASME Design Engineering Technical Conference ; Conference date: 17-09-1995 Through 20-09-1995",

year = "1995",

doi = "10.1115/DETC1995-0093",

language = "English",

series = "American Society of Mechanical Engineers, Design Engineering Division (Publication) DE",

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

number = "1",

pages = "713--718",

booktitle = "21st Annual Design Automation Conference",

edition = "1",

}

Ge, QJ & Rastegar, J 1995, Trajectory generation for high-speed machinery with minimal residual vibration using low-harmonic rational curves. in 21st Annual Design Automation Conference. 1 edn, American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, no. 1, vol. 82, American Society of Mechanical Engineers (ASME), pp. 713-718, Proceedings of the 1995 ASME Design Engineering Technical Conference, Boston, MA, USA, 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 Annual Design Automation Conference. 1. ed. American Society of Mechanical Engineers (ASME), 1995. p. 713-718 (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; Vol. 82, No. 1).

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

TY - CHAP

T1 - Trajectory generation for high-speed machinery with minimal residual vibration using low-harmonic rational curves

AU - Ge, Q. J.

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.

UR - https://www.scopus.com/pages/publications/0029429875

UR - https://www.scopus.com/pages/publications/85103462139

U2 - 10.1115/DETC1995-0093

DO - 10.1115/DETC1995-0093

M3 - Chapter

T3 - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

SP - 713

EP - 718

BT - 21st Annual Design Automation Conference

PB - American Society of Mechanical Engineers (ASME)

T2 - Proceedings of the 1995 ASME Design Engineering Technical Conference

Y2 - 17 September 1995 through 20 September 1995

ER -

Ge QJ, Rastegar J. Trajectory generation for high-speed machinery with minimal residual vibration using low-harmonic rational curves. In 21st Annual Design Automation Conference. 1 ed. American Society of Mechanical Engineers (ASME). 1995. p. 713-718. (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; 1). doi: 10.1115/DETC1995-0093

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

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