Abstract
Hyperloop is an emerging transportation system that minimises the air resistance by having the vehicle travel inside a de-pressurised tube and eliminates the wheel-rail contact friction by using an electro-magnetic suspension system. Due to the very large target velocities, one of its challenges will be ensuring the system stability. This study aims to determine the velocity regimes in which the system is unstable and, more specifically, is focusing on the interplay between two fundamentally different instability sources, namely (i) the electro-magnetic suspension and (ii) wave-induced instability. To this end, unlike previous studies, the frequency and velocity dependent reaction force provided by the infinite guideway is properly accounted for. Results show that the interplay between the two instability mechanisms does not lead to significant qualitative changes compared to considering each one separately. This study can help Hyperloop engineers avoid excessive vibrations that can cause fatigue problems and, in extreme cases, derailment.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chen, J., Chen, S., Hsu, W.: Effects of geometric nonlinearity on the response of a long beam on viscoelastic foundation to a moving mass. J. Sound Vibr. 497, 115961 (2021)
Denisov, G., Kugusheva, E., Novikov, V.: On the problem of the stability of one-dimensional unbounded elastic systems. J. Applied Math. Mech. 49(4), 533–537 (1985)
Dimitrovová, Z.: On the critical velocity of moving force and instability of moving mass in layered railway track models by semi-analytical approaches. Vibration 6(1), 113–146 (2023)
Fărăgău, A.B., Keijdener, C., de Oliveira Barbosa, J.M., Metrikine, A.V., van Dalen, K.N.: Transition radiation in a nonlinear and infinite one-dimensional structure: a comparison of solution methods. Nonlinear Dyn. 103, 1365–1391 (2021)
Fărăgău, A.B., Mazilu, T., Metrikine, A.V., Lu, T., van Dalen, K.N.: Transition radiation in an infinite one-dimensional structure interacting with a moving oscillator—the Green’s function method. J. Sound Vibr. 492, 115804 (2021)
Fărăgău, A.B., Metrikine, A.V., van Dalen, K.N.: Dynamic Amplification in a Periodic Structure Subject to a Moving Load Passing a Transition Zone: Hyperloop Case Study. In: Recent Trends in Wave Mechanics and Vibrations, vol. 125 (2023)
Galluzzi, R., Circosta, S., Amati, N., Tonoli, A., Bonfitto, A., Lembke, T.A., Kertész, M.: A multi-domain approach to the stabilization of electrodynamic levitation systems. J. Vibr. Acoustics 142(6), 061004 (2020)
Gkoumas, K.: Hyperloop academic research: a systematic review and a taxonomy of issues. Appl. Sci. 11(13), 5951 (2021)
Hu, J., Ma, W., Chen, X., Luo, S.: Levitation stability and Hopf bifurcation of EMS maglev trains. Math. Probl. Eng. 2020, 1–20 (2020)
Mazilu, T.: Instability of a train of oscillators moving along a beam on a viscoelastic foundation. J. Sound Vibr. 332(19), 4597–4619 (2013)
Metrikin A.V.: Unstable vertical oscillations of an object moving uniformly along an elastic guide as a result of an anomalous Doppler effect. Acoust. Phys. 40(1), 85–89 (1994)
Metrikine, A., Popp, K.: Instability of vibrations of an oscillator moving along a beam on an elastic half-space. European J. Mech. A/Solids 18(2), 331–349 (1999)
Museros, P., Lázaro, C., Pinazo, B., Monleón, S.: Key aspects in the analysis and design of Hyperloop™infrastructure under static, dynamic and thermal loads. Eng. Struct. 239, 112177 (2021)
Wu, H., Zeng, X., Gao, D., Lai, J.: Dynamic stability of an electromagnetic suspension maglev vehicle under steady aerodynamic load. Appl. Math. Model. 97, 483–500 (2021)
Xu, J., Chen, C., Gao, D., Luo, S., Qian, Q.: Nonlinear dynamic analysis on maglev train system with flexible guideway and double time-delay feedback control. J. Vibroeng. 19(8), 6346–6362 (2017)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Fărăgău, A.B., Wang, R., Metrikine, A.V., Dalen, K.N.v. (2024). The Interplay Between the Electro-Magnetic and Wave-Induced Instability Mechanisms in the Hyperloop Transportation System. In: Lacarbonara, W. (eds) Advances in Nonlinear Dynamics, Volume I. ICNDA 2023. NODYCON Conference Proceedings Series. Springer, Cham. https://doi.org/10.1007/978-3-031-50631-4_52
Download citation
DOI: https://doi.org/10.1007/978-3-031-50631-4_52
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-50630-7
Online ISBN: 978-3-031-50631-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)