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.
Similar content being viewed by others
References
Fryba, L., Vibration of Solids and Structures under Moving Loads, Prague: Thomas Telford, 1999.
Ivanchenko, I.I., Dinamika transportnykh sooruzhenii (Dynamics of Transport Buildings), Moscow: Nauka, 2011.
Barchenkov, A.G., Dinamicheskii raschet avtodorozhnykh mostov (Dynamical Calculation for Motorway Bridges), Moscow: Transport, 1976.
Sveshnikov, A.A., Prikladnye metody teorii sluchainykh funktsii (Applied Methods of Random Functions Theory), Moscow: Nauka, 1968.
Panovko, Ya.G. and Gubanova, I.I., Ustoichivost’ i kolebaniya uprugikh sistem (Stability and Oscillations of Elastic Systems), Moscow: Nauka, 1967.
Timoshenko, S.P., Kolebaniya v inzhenernom dele (Oscillations in Engineering), Moscow: Nauka, 1967.
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.
Muravskii, G.B., Oscillations of beam lying at elastic-inherited base, Stroit. Mekhan, Rachet Sooruzhen., 1976, no. 3, pp. 38–41.
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.
Rabotnov, Yu.N., Elementy nasledstvennoi mekhaniki tverdykh tel (Elements of Solids Hereditary Mechanics), Moscow: Nauka, 1977.
Gradshtein, I.S. and Ryzhik, I.M., Tablitsy integralov, summ, ryadov i proizvedenii (Tables of Integrals, Sums, Series and Multiplications), Moscow: Nauka, 1971.
Author information
Authors and Affiliations
Corresponding author
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
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1052618817040136