Research article Vol. 14 No. 4 (2018): International Journal for Computational Civil and Structural Engineering

DYNAMIC EFFECTS IN THE BEAM ON AN ELASTIC FOUNDATION CAUSED BY THE SUDDEN TRANSFORMATION OF SUPPORTING CONDITIONS

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DYNAMIC EFFECTS IN THE BEAM ON AN ELASTIC FOUNDATION CAUSED BY THE SUDDEN TRANSFORMATION OF SUPPORTING CONDITIONS

Authors

  • Vladimir I. Travush Russian Academy of Architecture and Construction Sciences, Moscow, RUSSIA
  • Vladimir A. Gordon Orel State University named after I.S. Turgenev, Orel, RUSSIA
  • Vitaly I. Kolchunov South West State University, Kursk, RUSSIA
  • Yevgeny V. Leontiev Federal autonomous institution “Main Department of State Expertise”, Moscow, RUSSIA

DOI:

https://doi.org/10.22337/2587-9618-2018-14-4-27-47

Keywords:

beam on an elastic foundation, sudden transformation of boundary conditions, deflections, bending moments, natural oscillation frequencies, forced oscillations, stress increments

Abstract

A mathematical model of a dynamic process in a loaded beam on an elastic Winkler base with the sudden formation of a defect in the form of a change in the boundary conditions is constructed. The solution of the static problem of bending of the beam fixed at the ends serves as the initial condition for the process of forced vibrations hinged supported at the ends of the beam, which arose after a sudden break in the bonds that prevented the rotation of the end sections. Dynamic increments of stresses in the beam for various combinations of beam and foundation parameters are determined. determined.

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Published

2018-12-21

How to Cite

Travush, V. I., Gordon, V. A., Kolchunov, V. I., & Leontiev, Y. V. (2018). DYNAMIC EFFECTS IN THE BEAM ON AN ELASTIC FOUNDATION CAUSED BY THE SUDDEN TRANSFORMATION OF SUPPORTING CONDITIONS. International Journal for Computational Civil and Structural Engineering, 14(4), 27-41. https://doi.org/10.22337/2587-9618-2018-14-4-27-47

Keywords

beam on an elastic foundation, sudden transformation of boundary conditions, deflections, bending moments, natural oscillation frequencies, forced oscillations, stress increments

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