Research article Vol. 15 No. 2 (2019): International Journal for Computational Civil and Structural Engineering

MATHEMATIC MODEL OF A BEAM PARTIALLY SUPPORTED ON ELASTIC FOUNDATION

Vladimir Travush, Vladimir Gordom, Vitaly Kolchunov, Yevgeny Leontiev
144-158 DOI 10.22337/2587-9618-2019-15-2-144-158 Published 2019-06-24
PDF
How to Cite

MATHEMATIC MODEL OF A BEAM PARTIALLY SUPPORTED ON ELASTIC FOUNDATION

Authors

  • Vladimir Travush Russian Academy of Architecture and Construction Sciences, Moscow, RUSSIA
  • Vladimir Gordom Orel State University named after I.S. Turgenev, Orel, RUSSIA
  • Vitaly Kolchunov Southwest State University, Kursk, RUSSIA
  • Yevgeny Leontiev Main Department of State Expertise, Moscow, RUSSIA

DOI:

https://doi.org/10.22337/2587-9618-2019-15-2-144-158

Keywords:

system “beam - foundation”, accidental impact, sudden foundation failure, forces, deflections

Abstract

The paper presents the methodic for analytical determining of stress-strain state of a beam partially supported on elastic foundation at sudden damage of foundation structure (partial failure). Bending equation for a beam is written using dimensional parameter and solved with the initial parameters method. Such approach al­lows to obtain dimensional analytical solution to static and dynamic problems for universal boundary conditions of a beam since it always leads to equations’ system of second order. Using numerical analysis for various values of generalized stiffness parameter of a system “beam - foundation”, we established affecting of the length of failure foundation part to stress-strain state of the beam for two supporting variants: partial supporting and sup­porting by two ends with foundation failure in the middle part of the beam.

1618 344

Downloads

Published

2019-06-24

Issue

Vol. 15 No. 2 (2019): International Journal for Computational Civil and Structural Engineering

Section

Research article

How to Cite

Travush, V., Gordom, V., Kolchunov, V., & Leontiev , Y. (2019). MATHEMATIC MODEL OF A BEAM PARTIALLY SUPPORTED ON ELASTIC FOUNDATION. International Journal for Computational Civil and Structural Engineering, 15(2), 144-158. https://doi.org/10.22337/2587-9618-2019-15-2-144-158

Keywords

system “beam - foundation”, accidental impact, sudden foundation failure, forces, deflections

Most read articles by the same author(s)