Skip to main content
Log in

Dynamic responses and fuzzy control of a simply-supported beam subjected to a moving mass

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

This paper deals with the active vibration control of a simply-supported beam traversed by a moving mass using fuzzy control. Governing equations for dynamic responses of a beam under a moving mass are derived by Galerkin’s mode summation method, and the effect of forces (gravity force, Coliolis force, inertia force caused by the slope of the beam, transverse inertia force of the beam) due to the moving mass on the dynamic response of a beam is discussed. For the active control of dynamic deflection and vibration of a beam under the moving mass, the controller based on fuzzy logic is used and the experiments are conducted by VCM (voice coil motor) actuator to suppress the vibration of a beam. Through the numerical and experimental studies, the following conclusions were obtained. With increasing mass ratioy at a fixed velocity of the moving mass under the critical velocity, the position of moving mass at the maximum dynamic deflection moves to the right end of the beam. With increasing velocity of the moving mass at a fixed mass ratioy, the position of moving mass at the maximum dynamic deflection moves to the right end of the beam too. The numerical predictions of dynamic deflection of the beam have a good agreement with the experimental results. With the fuzzy control, more than 50% reductions of dynamic deflection and residual vibration of the tested beam under the moving mass are obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abdel-Rohman, M. and Leipholz, H. H. E., 1980,Automatic Active Control of Structures, North-Holland Publishing Co. & Sm Publications.

  • Ayre, R. S., Ford, G. and Jacopsen, L. S., 1950, “Transverse Vibration of a Two Span Beam under Action of Moving Constant Force,”Transactions of the ASME, Journal of Applied Mechanics, Vol. 17, pp. 1–2.

    MATH  Google Scholar 

  • Bailey, T. and Hubbard Jr., J. E., 1985, “Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam,”Journal of Guidance, Control, and Dynamics, Vol. 8, No. 5, pp. 605–611.

    Article  MATH  Google Scholar 

  • Esmailzadeh, E. and Ghorashi, M., 1992, “Vibration Analysis of Beams Traversed by Moving Masses,”Proceedings of the International Conference on Engineering Application of Mechanics, Tehran, Iran, Vol. 2, pp. 232–238.

    Google Scholar 

  • Kwak, M. K. and Sciulli, D., 1996, “Fuzzy-Logic Based Vibration Suppression Control Experiments on Active Structures,”Journal of Sound and Vibration, Vol. 191, No. 1, pp. 15–28.

    Article  Google Scholar 

  • Kwon, H. C., Kim, M. C. and Lee, I. W., 1998, “Vibration Control of Bridges under Moving Loads,”Computers and Structures, Vol. 66, pp. 473–480.

    Article  MATH  Google Scholar 

  • Lin, Y. H., 1997, “Comments on Vibration Analysis of Beams Traversed by Uniform Partially Distributed Moving Masses,”Journal of Sound and Vibration, Vol. 199, No. 4, pp. 697–700.

    Article  Google Scholar 

  • Olsson, M., 1991, “On the Fundamental Moving Load Problem,”Journal of Sound and Vibration, Vol. 145, No. 2, pp. 299–307.

    Article  MathSciNet  Google Scholar 

  • Ryou, J. K., Park, K. Y. and Kim, S. J., 1997, “Vibration Control of Beam using Distributed PVDF Sensor and PZT Actuator,”Journal of Korean Society of Noise and Vibration Engineering, Vol. 7, No. 6, pp. 967–974.

    Google Scholar 

  • Ryu, B. J., 1983, “Dynamic Analysis of a Beam Subjected to a Concentrated Moving Mass,”Master Thesis, Yonsei University.

  • Sadiku, S. and Leipholz, H. H. E., 1987, “On the Dynamics of Elastic Systems with Moving Concentrated Masses,”Ingenieur-Archiv, Vol. 57, pp. 223–242.

    Article  MATH  Google Scholar 

  • Strokes, G. G., 1849, “Discussion of a Differential Equation Relation to the Breaking of Rail Way Bridges,”Transactions of the Cambridge Philosophical Society, Vol. 85, pp. 707–735.

    Google Scholar 

  • Sung, Y. G., 2002, “Modeling and Control with Piezo-actuators for a Simply Supported Beam under a Moving Mass,”Journal of Sound and Vibration, Vol. 250, No. 4, pp. 617–626.

    Article  Google Scholar 

  • Yoshida, D. M. and Weaver, W., 1971, “Finite Element Analysis of Beams and Plates with Moving Loads,”Publication of International Association for Bridge and Structural Engineering, Vol. 31, No. 1, pp. 179–195.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bong-Jo Ryu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kong, YS., Ryu, BJ., Shin, KB. et al. Dynamic responses and fuzzy control of a simply-supported beam subjected to a moving mass. J Mech Sci Technol 20, 1371–1381 (2006). https://doi.org/10.1007/BF02915960

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02915960

Key Words

Navigation