Skip to main content
Log in

Impact of the Movable Random Load on the Infinitely Long Beam Superposed on the Solid Viscoelastic Foundation

  • Mechanics of Machines
  • Published:
Journal of Machinery Manufacture and Reliability Aims and scope Submit manuscript

Abstract

The problem of the movement of the load at a constant rate on an infinitely long beam superposed on the solid viscoelastic foundation has been considered. The load is considered to be an arbitrary function of the longitudinal coordinate. The impact of the load characteristics and the foundation on the critical speed value and the mean-square scatter of the beam deflection has been analyzed.

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

  1. Fryba, L., Vibration of Solids and Structures under Moving Loads, Prague: Thomas Telford, 1999.

    Book  MATH  Google Scholar 

  2. Ivanchenko, I.I., Dinamika transportnykh sooruzhenii (Dynamics of Transport Buildings), Moscow: Nauka, 2011.

    Google Scholar 

  3. Barchenkov, A.G., Dinamicheskii raschet avtodorozhnykh mostov (Dynamical Calculation for Motorway Bridges), Moscow: Transport, 1976.

    Google Scholar 

  4. Sveshnikov, A.A., Prikladnye metody teorii sluchainykh funktsii (Applied Methods of Random Functions Theory), Moscow: Nauka, 1968.

    Google Scholar 

  5. Panovko, Ya.G. and Gubanova, I.I., Ustoichivost’ i kolebaniya uprugikh sistem (Stability and Oscillations of Elastic Systems), Moscow: Nauka, 1967.

    Google Scholar 

  6. Timoshenko, S.P., Kolebaniya v inzhenernom dele (Oscillations in Engineering), Moscow: Nauka, 1967.

    Google Scholar 

  7. Potapov, V.D., Stability of a rod subjected to a random stationary longitudinal force by considering transverse shear, J. Mach. Manuf. Reliab., 2013, vol. 42, no. 2, p.95.

    Article  Google Scholar 

  8. Muravskii, G.B., Oscillations of beam lying at elastic-inherited base, Stroit. Mekhan, Rachet Sooruzhen., 1976, no. 3, pp. 38–41.

    Google Scholar 

  9. Atanackovic, T.M. and Stankovic, B., Stability of an elastic rod on a fractional derivative type of foundation, J. Sound Vibrat., 2004, vol. 277, pp. 149–161.

    Article  Google Scholar 

  10. Rabotnov, Yu.N., Elementy nasledstvennoi mekhaniki tverdykh tel (Elements of Solids Hereditary Mechanics), Moscow: Nauka, 1977.

    Google Scholar 

  11. Gradshtein, I.S. and Ryzhik, I.M., Tablitsy integralov, summ, ryadov i proizvedenii (Tables of Integrals, Sums, Series and Multiplications), Moscow: Nauka, 1971.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. D. Potapov.

Additional information

Original Russian Text © V.D. Potapov, 2017, published in Problemy Mashinostroeniya i Nadezhnosti Mashin, 2017, No. 6, pp. 20–25.

† Deceased.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Potapov, V.D. Impact of the Movable Random Load on the Infinitely Long Beam Superposed on the Solid Viscoelastic Foundation. J. Mach. Manuf. Reliab. 46, 536–541 (2017). https://doi.org/10.3103/S1052618817040136

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1052618817040136

Navigation