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Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 2018, Volume 18, Issue 1, Pages 69–83 (Mi isu746)  

This article is cited in 1 scientific paper (total in 1 paper)

Scientific Part
Mechanics

Bending of a sandwich beam by local loads in the temperature field

E. I. Starovoitov, D. V. Leonenko

Belarusian State University of Transport, 246653, Belarus, Gomel, Kirova Str., 34

Abstract: Deformation of sandwich beam in a temperature field under the action of uniformly distributed and sinusoidal local loads is considered. An analytical view of the loads was set by using functions of Heaviside. To describe kinematic properties of an asymmetric through thickness of sandwich beam we have accepted the hypotheses of a broken line as follows: Bernoullis hypothesis is true in the thin bearing layers; Timoshenkos hypothesis is true in the compressible through thickness filler with a linear approximation of displacements through the layer thickness. The kinematic conditions of simply supported faces of the beam on the immovable in space rigid bases are presumed on the boundary. The fillers work is taken into account in the tangential direction. Temperature variations were calculated by the formula obtained from averaging thermophysical properties of the materials of the layers through the beam thickness. Stress and strain are related by relations of the deformation theory of plasticity. By the variational method a system of differential equilibrium equations has been derived. The solution of the boundary value problem of thermo-elastoplasticity is reduced to the search for four functions, namely: deflections and lengthwise displacements of the medial surfaces of the bearing layers. An analytical solution has been derived by the method of elastic solutions. In the case of repeated alternating loading solution using Moskvitin theorem received. Numerical analysis of solutions is performed for a continuous, locally distributed and repeated alternating loads. The graphs of stresses and displacements in sandwich beam under the isothermal and thermal-force loads are given.

Key words: local uniformly distributed and sinusoidal loads, sandwich elastic-plastic beam, compressible filler, temperature field.

Funding Agency Grant Number
Russian Science Foundation 14-49-00091
This work was supported by the Moscow Aviation Institute and Russian Science Foundation (project no. 14-49-00091).


DOI: https://doi.org/10.18500/1816-9791-2018-18-1-69-83

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Bibliographic databases:

Document Type: Article
UDC: 539.374
Language: English

Citation: E. I. Starovoitov, D. V. Leonenko, “Bending of a sandwich beam by local loads in the temperature field”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 18:1 (2018), 69–83

Citation in format AMSBIB
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\paper Bending of a sandwich beam by local loads in the temperature field
\jour Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform.
\yr 2018
\vol 18
\issue 1
\pages 69--83
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\crossref{https://doi.org/10.18500/1816-9791-2018-18-1-69-83}
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    This publication is cited in the following articles:
    1. M. A. Osipenko, A. A. Kasatkin, “Momentnaya kontaktnaya nagruzka pri odnostoronnem kontakte balok”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 19:1 (2019), 69–81  mathnet  crossref
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