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Nonlinear Dynamics of Structures, Systems and Devices pp 117–126Cite as

Analogue Models of Rocking Suitcases and Snaking Trailers

Abstract

A mechanical model is constructed for the stability analysis of two-wheeled suitcases and trailers. The main assumptions of the model are summarized and the linearized equations of motion are presented. The linear stability of the rectilinear motion is investigated, critical parameter values are determined for the different level of complexity of the model. Numerical simulations are used to verify the applicability of the model for the nonlinear analysis of the rocking motion of trailers.

Keywords

  • Two-wheeled suitcase
  • Trailer
  • Non-smooth system
  • Non-holonomic system

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References

  1. Troger, H., Zeman, K.: A nonlinear-analysis of the generic types of loss of stability of the steady-state motion of a tractor-semitrailer. Veh. Syst. Dyn. 13(4), 161–172 (1984)

    CrossRef  Google Scholar 

  2. Darling, J., Tilley, D., Gao, B.: An experimental investigation of cartrailer high-speed stability. Proc. Inst. Mech. Eng. D: J. Autom. Eng. 223(4), 471–484 (2009)

    CrossRef  Google Scholar 

  3. Suherman, S., Plaut, R.H., Watson, L.T., Thompson, S.: Effect of human response time on rocking instability of a two-wheeled suitcase. J. Sound Vib. 207(5), 617–625 (1997)

    CrossRef  ADS  Google Scholar 

  4. Plaut, R.H.: Rocking instability of a pulled suitcase with two wheels. Acta Mech. 117, 165–179 (1996)

    CrossRef  Google Scholar 

  5. O’Reilly, O.M., Varadi, P.C.: A travelers woes: some perspectives from dynamical systems. In: Moon, F.C. (ed.) IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics Kluwer, Dordrecht, pp. 397–406 (1999)

    Google Scholar 

  6. Facchini, G., Sekimoto, K., Courrech du Pont, S.: The rolling suitcase instability: a coupling between translation and rotation. Proc. R. Soc. A: Math. Phys. Eng. Sci. 473(2202), 20170076 (2017)

    CrossRef  ADS  MathSciNet  Google Scholar 

  7. Horvath, H.Zs., Takacs, D.: Modelling and Simulation of Rocking Suitcases. Acta Polytech. CTU Proc. 18, 61–65 (2018). https://doi.org/10.14311/APP.2018.18.0061

    CrossRef  Google Scholar 

  8. Pacejka, H.B.: Tyre and Vehicle Dynamics, Elsevier Butterworth-Heinemann, Oxford (2002)

    Google Scholar 

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Acknowledgements

This research has been supported by the UNKP-18-2-I-BME-173 New National Excellence Program of the Ministry of Human Capacities Hungary. This research was funded by the National Research, Development and Innovation Office under grant no. NKFI-128422. The publication of the work reported herein has been supported by ETDB at BME.

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Authors and Affiliations

  1. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary

    Zoltan Horvath

  2. MTA-BME Research Group on Dynamics of Machines and Vehicles, Budapest, Hungary

    Denes Takacs

Authors
  1. Zoltan Horvath
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  2. Denes Takacs
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Corresponding author

Correspondence to Zoltan Horvath .

Editor information

Editors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome, Italy

    Walter Lacarbonara

  2. Department of Mechanical Engineering, University of Maryland, College Park, MD, USA

    Balakumar Balachandran

  3. Department of Physics, Lanzhou University of Technology, Lanzhou, Gansu, China

    Jun Ma

  4. Department of Electrical Engineering, Polytechnic of Porto - School of Engineering (ISEP), Porto, Portugal

    Prof. J. A. Tenreiro Machado

  5. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary

    Prof. Gabor Stepan

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Horvath, Z., Takacs, D. (2020). Analogue Models of Rocking Suitcases and Snaking Trailers. In: Lacarbonara, W., Balachandran, B., Ma, J., Tenreiro Machado, J., Stepan, G. (eds) Nonlinear Dynamics of Structures, Systems and Devices. Springer, Cham. https://doi.org/10.1007/978-3-030-34713-0_12

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