Active boundary control of elastic cables

Catalin F. Baicu; Christopher D. Rahn

doi:10.1115/DETC1995-0568

Active boundary control of elastic cables

Catalin F. Baicu, Christopher D. Rahn

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

1 Scopus citations

Abstract

Cables are lightweight structural elements used in a variety of engineering applications. This paper introduces an active boundary control approach that damps undesirable vibrations in a cable. Using Hamilton’s principle, the governing nonlinear partial differential equations for an elastic cable are derived, including the natural boundary conditions associated with boundary force control. Based on Lyapunov theory, passive and active vibration controllers are developed. A Galerkin approach generates the linearized, closed loop, modal dynamics equations for out-of-plane vibration. Simulations demonstrate the improved damping provided by the passive and active controllers.

Original language	English (US)
Title of host publication	15th Biennial Conference on Mechanical Vibration and Noise - Vibration Control, Analysis, and Identification
Publisher	American Society of Mechanical Engineers (ASME)
Pages	143-147
Number of pages	5
ISBN (Electronic)	9780791897669
DOIs	https://doi.org/10.1115/DETC1995-0568
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	3C-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
Country/Territory	United States
City	Boston
Period	9/17/95 → 9/20/95

All Science Journal Classification (ASJC) codes

Mechanical Engineering
Computer Graphics and Computer-Aided Design
Computer Science Applications
Modeling and Simulation

Access to Document

10.1115/DETC1995-0568

Cite this

Baicu, C. F., & Rahn, C. D. (1995). Active boundary control of elastic cables. In 15th Biennial Conference on Mechanical Vibration and Noise - Vibration Control, Analysis, and Identification (pp. 143-147). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 3C-1995). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC1995-0568

@inproceedings{8243de0e5a694158b7366804ad48144b,

title = "Active boundary control of elastic cables",

abstract = "Cables are lightweight structural elements used in a variety of engineering applications. This paper introduces an active boundary control approach that damps undesirable vibrations in a cable. Using Hamilton{\textquoteright}s principle, the governing nonlinear partial differential equations for an elastic cable are derived, including the natural boundary conditions associated with boundary force control. Based on Lyapunov theory, passive and active vibration controllers are developed. A Galerkin approach generates the linearized, closed loop, modal dynamics equations for out-of-plane vibration. Simulations demonstrate the improved damping provided by the passive and active controllers.",

author = "Baicu, {Catalin F.} and Rahn, {Christopher D.}",

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/DETC1995-0568",

language = "English (US)",

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

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

pages = "143--147",

booktitle = "15th Biennial Conference on Mechanical Vibration and Noise - Vibration Control, Analysis, and Identification",

}

Baicu, CF & Rahn, CD 1995, Active boundary control of elastic cables. in 15th Biennial Conference on Mechanical Vibration and Noise - Vibration Control, Analysis, and Identification. Proceedings of the ASME Design Engineering Technical Conference, vol. 3C-1995, American Society of Mechanical Engineers (ASME), pp. 143-147, 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, 9/17/95. https://doi.org/10.1115/DETC1995-0568

Active boundary control of elastic cables. / Baicu, Catalin F.; Rahn, Christopher D.
15th Biennial Conference on Mechanical Vibration and Noise - Vibration Control, Analysis, and Identification. American Society of Mechanical Engineers (ASME), 1995. p. 143-147 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 3C-1995).

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

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T1 - Active boundary control of elastic cables

AU - Baicu, Catalin F.

AU - Rahn, Christopher D.

PY - 1995

Y1 - 1995

N2 - Cables are lightweight structural elements used in a variety of engineering applications. This paper introduces an active boundary control approach that damps undesirable vibrations in a cable. Using Hamilton’s principle, the governing nonlinear partial differential equations for an elastic cable are derived, including the natural boundary conditions associated with boundary force control. Based on Lyapunov theory, passive and active vibration controllers are developed. A Galerkin approach generates the linearized, closed loop, modal dynamics equations for out-of-plane vibration. Simulations demonstrate the improved damping provided by the passive and active controllers.

AB - Cables are lightweight structural elements used in a variety of engineering applications. This paper introduces an active boundary control approach that damps undesirable vibrations in a cable. Using Hamilton’s principle, the governing nonlinear partial differential equations for an elastic cable are derived, including the natural boundary conditions associated with boundary force control. Based on Lyapunov theory, passive and active vibration controllers are developed. A Galerkin approach generates the linearized, closed loop, modal dynamics equations for out-of-plane vibration. Simulations demonstrate the improved damping provided by the passive and active controllers.

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M3 - Conference contribution

AN - SCOPUS:85103444030

T3 - Proceedings of the ASME Design Engineering Technical Conference

SP - 143

EP - 147

BT - 15th Biennial Conference on Mechanical Vibration and Noise - Vibration Control, Analysis, and Identification

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 -

Active boundary control of elastic cables

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