Phase-space reconstructions of stick-slip systems

B. F. Feeny; J. W. Liang

doi:10.115/DETC-1995-0351

Phase-space reconstructions of stick-slip systems

B. F. Feeny
, J. W. Liang

Michigan State University

研究成果: 圖書/報告稿件的類型 › 會議稿件 › 同行評審

摘要

Nonsmooth processes such as stick-slip may introduce problems with phase-spacereconstructions. We examine chaotic single-degree-of-fireedom stick-slip friction models and use the method of delays to reconstruct the phase space. We illustrate that this reconstruction process can cause pseudo trajectories to collapse in a way that is unlike, yet related to, the dimensional collapse in the original phase-space. As a result, the reconstructed attractor is not topologically similar to the real attractor. Standard dimensioning tools are applied in effort to recognize this situation. The use of additional observables is examined as a possible remedy for the problem.

原文	英語
主出版物標題	15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
發行者	American Society of Mechanical Engineers (ASME)
頁面	1049-1059
頁數	11
ISBN（電子）	9780791817186
DOIs	https://doi.org/10.115/DETC-1995-0351
出版狀態	已出版 - 1995
對外發佈	是
事件	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, 美國持續時間: 17 09 1995 → 20 09 1995

出版系列

名字	Proceedings of the ASME Design Engineering Technical Conference
卷	3A-1995

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
國家/地區	美國
城市	Boston
期間	17/09/95 → 20/09/95

文獻附註

Publisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.

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10.115/DETC-1995-0351

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Feeny, B. F., & Liang, J. W. (1995). Phase-space reconstructions of stick-slip systems. 於 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems (頁 1049-1059). (Proceedings of the ASME Design Engineering Technical Conference; 卷 3A-1995). American Society of Mechanical Engineers (ASME). https://doi.org/10.115/DETC-1995-0351

@inproceedings{f758d7bc75214510b7377ad851ab1afe,

title = "Phase-space reconstructions of stick-slip systems",

abstract = "Nonsmooth processes such as stick-slip may introduce problems with phase-spacereconstructions. We examine chaotic single-degree-of-fireedom stick-slip friction models and use the method of delays to reconstruct the phase space. We illustrate that this reconstruction process can cause pseudo trajectories to collapse in a way that is unlike, yet related to, the dimensional collapse in the original phase-space. As a result, the reconstructed attractor is not topologically similar to the real attractor. Standard dimensioning tools are applied in effort to recognize this situation. The use of additional observables is examined as a possible remedy for the problem.",

author = "Feeny, \{B. F.\} and Liang, \{J. W.\}",

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 = "10.115/DETC-1995-0351",

language = "英语",

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

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

pages = "1049--1059",

booktitle = "15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems",

address = "美国",

}

Feeny, BF & Liang, JW 1995, Phase-space reconstructions of stick-slip systems. 於 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems. Proceedings of the ASME Design Engineering Technical Conference, 卷 3A-1995, American Society of Mechanical Engineers (ASME), 頁 1049-1059, 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, 美國, 17/09/95. https://doi.org/10.115/DETC-1995-0351

Phase-space reconstructions of stick-slip systems. / Feeny, B. F.; Liang, J. W.
15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems. American Society of Mechanical Engineers (ASME), 1995. p. 1049-1059 (Proceedings of the ASME Design Engineering Technical Conference; 卷 3A-1995).

研究成果: 圖書/報告稿件的類型 › 會議稿件 › 同行評審

TY - GEN

T1 - Phase-space reconstructions of stick-slip systems

AU - Feeny, B. F.

AU - Liang, J. W.

PY - 1995

Y1 - 1995

N2 - Nonsmooth processes such as stick-slip may introduce problems with phase-spacereconstructions. We examine chaotic single-degree-of-fireedom stick-slip friction models and use the method of delays to reconstruct the phase space. We illustrate that this reconstruction process can cause pseudo trajectories to collapse in a way that is unlike, yet related to, the dimensional collapse in the original phase-space. As a result, the reconstructed attractor is not topologically similar to the real attractor. Standard dimensioning tools are applied in effort to recognize this situation. The use of additional observables is examined as a possible remedy for the problem.

AB - Nonsmooth processes such as stick-slip may introduce problems with phase-spacereconstructions. We examine chaotic single-degree-of-fireedom stick-slip friction models and use the method of delays to reconstruct the phase space. We illustrate that this reconstruction process can cause pseudo trajectories to collapse in a way that is unlike, yet related to, the dimensional collapse in the original phase-space. As a result, the reconstructed attractor is not topologically similar to the real attractor. Standard dimensioning tools are applied in effort to recognize this situation. The use of additional observables is examined as a possible remedy for the problem.

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DO - 10.115/DETC-1995-0351

M3 - 会议稿件

AN - SCOPUS:85103464182

T3 - Proceedings of the ASME Design Engineering Technical Conference

SP - 1049

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BT - 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems

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 -

Phase-space reconstructions of stick-slip systems

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