The Stability Behaviour of an Electromagnetically Suspended Hyperloop Vehicle Subject to Aeroelastic Forcing

J. Paul; Andrei B. Faragau; R.J. van Leijden; A. Metrikine; K.N. van Dalen

doi:10.4203/ccc.7.16.1

The Stability Behaviour of an Electromagnetically Suspended Hyperloop Vehicle Subject to Aeroelastic Forcing

J. Paul, Andrei B. Faragau, R.J. van Leijden, A. Metrikine, K.N. van Dalen

Research output: Contribution to conference › Paper › peer-review

13 Downloads (Pure)

Abstract

In this paper, we delve into the dynamics of an electromagnetically suspended mass from a rigid support. The study employs a 1.5-degrees-of-freedom system which serves as a simplified model for a Hyperloop vehicle traveling in a tube. Through linear stability analysis, we analytically uncover three distinct regions for the physically significant equilibrium point. Further inspection reveals that the system exhibits limit-cycle vibrations in one of these regions. Employing the harmonic balance method, we determine the properties of the limit cycle, thus unravelling the frequency and amplitude characterizing the periodic oscillations of system’s variables. We also present preliminary findings regarding the influence of the steady aeroelastic force on the stability of the system.

Original language	English
Number of pages	11
DOIs	https://doi.org/10.4203/ccc.7.16.1
Publication status	Published - 2024
Event	The Sixth International Conference on Railway Technology 2024: Research, Development and Maintenance - Faculty of Civil Engineering, Czech Technical University, Prague, Czech Republic Duration: 1 Sept 2024 → 5 Sept 2024 https://www.civil-comp.info/2024/rl/

Conference

Conference	The Sixth International Conference on Railway Technology 2024
Abbreviated title	RAILWAYS 2024
Country/Territory	Czech Republic
City	Prague
Period	1/09/24 → 5/09/24
Internet address	https://www.civil-comp.info/2024/rl/

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Hyperloop
electro-magnetic suspension
aeroelastic force
stability
supercritical Hopf bifurcation
harmonic balance
limit cycle

Access to Document

10.4203/ccc.7.16.1

The Stability Behaviour of an Electromagnetically Suspended Hyperloop Vehicle Subject to Aeroelastic ForcingFinal published version, 724 KB

Cite this

@conference{09c8430e59ae4d03971a1c62be8aad0c,

title = "The Stability Behaviour of an Electromagnetically Suspended Hyperloop Vehicle Subject to Aeroelastic Forcing",

abstract = "In this paper, we delve into the dynamics of an electromagnetically suspended mass from a rigid support. The study employs a 1.5-degrees-of-freedom system which serves as a simplified model for a Hyperloop vehicle traveling in a tube. Through linear stability analysis, we analytically uncover three distinct regions for the physically significant equilibrium point. Further inspection reveals that the system exhibits limit-cycle vibrations in one of these regions. Employing the harmonic balance method, we determine the properties of the limit cycle, thus unravelling the frequency and amplitude characterizing the periodic oscillations of system{\textquoteright}s variables. We also present preliminary findings regarding the influence of the steady aeroelastic force on the stability of the system.",

keywords = "Hyperloop, electro-magnetic suspension, aeroelastic force, stability, supercritical Hopf bifurcation, harmonic balance, limit cycle",

author = "J. Paul and Faragau, {Andrei B.} and {van Leijden}, R.J. and A. Metrikine and {van Dalen}, K.N.",

note = "Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. ; The Sixth International Conference on Railway Technology 2024 : Research, Development and Maintenance , RAILWAYS 2024 ; Conference date: 01-09-2024 Through 05-09-2024",

year = "2024",

doi = "10.4203/ccc.7.16.1",

language = "English",

url = "https://www.civil-comp.info/2024/rl/",

}

TY - CONF

T1 - The Stability Behaviour of an Electromagnetically Suspended Hyperloop Vehicle Subject to Aeroelastic Forcing

AU - Paul, J.

AU - Faragau, Andrei B.

AU - van Leijden, R.J.

AU - Metrikine, A.

AU - van Dalen, K.N.

N1 - Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2024

Y1 - 2024

N2 - In this paper, we delve into the dynamics of an electromagnetically suspended mass from a rigid support. The study employs a 1.5-degrees-of-freedom system which serves as a simplified model for a Hyperloop vehicle traveling in a tube. Through linear stability analysis, we analytically uncover three distinct regions for the physically significant equilibrium point. Further inspection reveals that the system exhibits limit-cycle vibrations in one of these regions. Employing the harmonic balance method, we determine the properties of the limit cycle, thus unravelling the frequency and amplitude characterizing the periodic oscillations of system’s variables. We also present preliminary findings regarding the influence of the steady aeroelastic force on the stability of the system.

AB - In this paper, we delve into the dynamics of an electromagnetically suspended mass from a rigid support. The study employs a 1.5-degrees-of-freedom system which serves as a simplified model for a Hyperloop vehicle traveling in a tube. Through linear stability analysis, we analytically uncover three distinct regions for the physically significant equilibrium point. Further inspection reveals that the system exhibits limit-cycle vibrations in one of these regions. Employing the harmonic balance method, we determine the properties of the limit cycle, thus unravelling the frequency and amplitude characterizing the periodic oscillations of system’s variables. We also present preliminary findings regarding the influence of the steady aeroelastic force on the stability of the system.

KW - Hyperloop

KW - electro-magnetic suspension

KW - aeroelastic force

KW - stability

KW - supercritical Hopf bifurcation

KW - harmonic balance

KW - limit cycle

U2 - 10.4203/ccc.7.16.1

DO - 10.4203/ccc.7.16.1

M3 - Paper

T2 - The Sixth International Conference on Railway Technology 2024

Y2 - 1 September 2024 through 5 September 2024

ER -

The Stability Behaviour of an Electromagnetically Suspended Hyperloop Vehicle Subject to Aeroelastic Forcing

Abstract

Conference

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this