THE NON-CLASSICAL PROBLEM OF AN ORTHOTROPIC BEAM OF VARIABLE THICKNESS WITH THE SIMULTANEOUS ACTION OF ITS OWN WEIGHT AND COMPRESSIVE AXIAL FORCES

R.M. Kirakosyan; S.P. Stepanyan

doi:10.46991/PYSU:A/2019.53.3.183

THE NON-CLASSICAL PROBLEM OF AN ORTHOTROPIC BEAM OF VARIABLE THICKNESS WITH THE SIMULTANEOUS ACTION OF ITS OWN WEIGHT AND COMPRESSIVE AXIAL FORCES

Authors

R.M. Kirakosyan Institute of Mechanics, National Academy of Sciences, Armenia
S.P. Stepanyan Chair of Numerical Analysis and Mathematical Modeling, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2019.53.3.183

Keywords:

elastically fastened support, bending, transverse shear, sole weight, axial compressive forces, stability

Abstract

thickness, the equations of the problem of bending of an elastically clamped beam in the case of simultaneous action of its own weight and axial compressive forces are obtained. The effects of transverse shear and the effect of reducing the compressive force of the support are taken into account. Turning to dimensionless quantities, the specific problem for a beam of linearly variable thickness is solved by the collocation method. The question of the stability of the beam is discussed.

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Published

2019-12-16

How to Cite

Kirakosyan, R., & Stepanyan, S. (2019). THE NON-CLASSICAL PROBLEM OF AN ORTHOTROPIC BEAM OF VARIABLE THICKNESS WITH THE SIMULTANEOUS ACTION OF ITS OWN WEIGHT AND COMPRESSIVE AXIAL FORCES. Proceedings of the YSU A: Physical and Mathematical Sciences, 53(3 (250), 183–190. https://doi.org/10.46991/PYSU:A/2019.53.3.183