Details
Original language | English |
---|---|
Title of host publication | Nonlinear Structures and Systems |
Subtitle of host publication | Proceedings of the 42nd IMAC, A Conference and Exposition on Structural Dynamics 2024 |
Editors | Matthew R. W. Brake, Ludovic Renson, Robert J. Kuether, Paolo Tiso |
Publisher | Springer |
Pages | 121-124 |
Number of pages | 4 |
ISBN (electronic) | 978-3-031-69409-7 |
ISBN (print) | 9783031694080 |
Publication status | Published - 8 Aug 2024 |
Event | 42nd IMAC, A Conference and Exposition on Structural Dynamics, IMAC 2024 - Orlando, United States Duration: 29 Jan 2024 → 1 Feb 2024 |
Publication series
Name | Conference Proceedings of the Society for Experimental Mechanics Series |
---|---|
ISSN (Print) | 2191-5644 |
ISSN (electronic) | 2191-5652 |
Abstract
In this chapter, an electromagnetic energy transducer for vibration damping is investigated. The device consists of a magnetic circuit, a flux linking coil, and a variable air gap between a fixed horseshoe type magnet with a moving magnetic core. Due to the magnetic effect caused by the reluctance forces in the air gap, the horseshoe magnet and its counterpart attract each other. The corresponding force–displacement behavior is strongly nonlinear and can be characterized as negative stiffness. We now introduce passive shunts of the coil to create a phase shift in the reluctance force dynamics. This way, the resulting hysteresis between reluctance force and air gap causes damping of an oscillating motion of the moving magnetic core. The nonlinear state equation is solved by applying the harmonic balance method to obtain the magnetic flux for a given harmonic input signal. For harmonic air gap oscillation, resistive as well as resonant shunts are considered at different frequencies. In contrast to a simple energy dissipation, the resonant shunt leads to an amplification of the damping effect as the electric circuit is capable of vibration itself. Furthermore, additional resonance effects can occur if the oscillation frequency is close to, for example, half or one-third of the electrical resonance frequency. This is due to the strong nonlinear characteristic of the system activating the electric resonance with the oscillation’s higher harmonics.
Keywords
- Harmonic balance method, Higher harmonic excitation, Magnetic damper, Reluctance force, Shunt damping
ASJC Scopus subject areas
- Engineering(all)
- General Engineering
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanical Engineering
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
Nonlinear Structures and Systems : Proceedings of the 42nd IMAC, A Conference and Exposition on Structural Dynamics 2024. ed. / Matthew R. W. Brake; Ludovic Renson; Robert J. Kuether; Paolo Tiso. Springer, 2024. p. 121-124 (Conference Proceedings of the Society for Experimental Mechanics Series).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Numerical Investigation of a Reluctance Force Shunt Damping System
AU - Jahn, Martin
AU - Tatzko, Sebastian
PY - 2024/8/8
Y1 - 2024/8/8
N2 - In this chapter, an electromagnetic energy transducer for vibration damping is investigated. The device consists of a magnetic circuit, a flux linking coil, and a variable air gap between a fixed horseshoe type magnet with a moving magnetic core. Due to the magnetic effect caused by the reluctance forces in the air gap, the horseshoe magnet and its counterpart attract each other. The corresponding force–displacement behavior is strongly nonlinear and can be characterized as negative stiffness. We now introduce passive shunts of the coil to create a phase shift in the reluctance force dynamics. This way, the resulting hysteresis between reluctance force and air gap causes damping of an oscillating motion of the moving magnetic core. The nonlinear state equation is solved by applying the harmonic balance method to obtain the magnetic flux for a given harmonic input signal. For harmonic air gap oscillation, resistive as well as resonant shunts are considered at different frequencies. In contrast to a simple energy dissipation, the resonant shunt leads to an amplification of the damping effect as the electric circuit is capable of vibration itself. Furthermore, additional resonance effects can occur if the oscillation frequency is close to, for example, half or one-third of the electrical resonance frequency. This is due to the strong nonlinear characteristic of the system activating the electric resonance with the oscillation’s higher harmonics.
AB - In this chapter, an electromagnetic energy transducer for vibration damping is investigated. The device consists of a magnetic circuit, a flux linking coil, and a variable air gap between a fixed horseshoe type magnet with a moving magnetic core. Due to the magnetic effect caused by the reluctance forces in the air gap, the horseshoe magnet and its counterpart attract each other. The corresponding force–displacement behavior is strongly nonlinear and can be characterized as negative stiffness. We now introduce passive shunts of the coil to create a phase shift in the reluctance force dynamics. This way, the resulting hysteresis between reluctance force and air gap causes damping of an oscillating motion of the moving magnetic core. The nonlinear state equation is solved by applying the harmonic balance method to obtain the magnetic flux for a given harmonic input signal. For harmonic air gap oscillation, resistive as well as resonant shunts are considered at different frequencies. In contrast to a simple energy dissipation, the resonant shunt leads to an amplification of the damping effect as the electric circuit is capable of vibration itself. Furthermore, additional resonance effects can occur if the oscillation frequency is close to, for example, half or one-third of the electrical resonance frequency. This is due to the strong nonlinear characteristic of the system activating the electric resonance with the oscillation’s higher harmonics.
KW - Harmonic balance method
KW - Higher harmonic excitation
KW - Magnetic damper
KW - Reluctance force
KW - Shunt damping
UR - http://www.scopus.com/inward/record.url?scp=85207856035&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-69409-7_21
DO - 10.1007/978-3-031-69409-7_21
M3 - Conference contribution
AN - SCOPUS:85207856035
SN - 9783031694080
T3 - Conference Proceedings of the Society for Experimental Mechanics Series
SP - 121
EP - 124
BT - Nonlinear Structures and Systems
A2 - Brake, Matthew R. W.
A2 - Renson, Ludovic
A2 - Kuether, Robert J.
A2 - Tiso, Paolo
PB - Springer
T2 - 42nd IMAC, A Conference and Exposition on Structural Dynamics, IMAC 2024
Y2 - 29 January 2024 through 1 February 2024
ER -