Wave propagation in a rectangular bar, exposed to the impact tangential forces

Authors

  • Назила Билал Расулова National Academy of Sciences of Azerbaijan Institute of Mathematics and Mechanics Baku, AZ 1143, str. B. Vahabzadeh 9, Azerbaijan http://orcid.org/0000-0001-8127-684X
  • Гюльнар Ровшан Шамилова National Academy of Sciences of Azerbaijan Institute of Mathematics and Mechanics Baku, AZ 1143, str. B. Vahabzadeh 9, Ukraine http://orcid.org/0000-0003-0362-3492

DOI:

https://doi.org/10.15587/1729-4061.2014.24816

Keywords:

unsteady waves, rectangular bar, impact shear forces, Lame’s equation

Abstract

In modern technology, there are more and more cases of action of impact loads on work items of buildings, machines and constructions, therefore, the strength calculations of these items under the dynamic effects become important.

To solve the problems, arising from the dynamic effects, it is necessary to use the continuum mechanics methods and, in particular in many cases, the methods of the dynamic theory of elasticity. Analytical studies allow to find the exact problem solutions, which is very important, because the exact solutions allow to estimate the main features of the solution in general - the nature and the extent of influence of various set parameters on it. On the other hand, exact solutions are always reference and needed, in particular, for developing numerical methods for more complex cases.

This work is a continuation of the works of N. Rassoulova, G. Shamilova, dedicated to studying the propagation of unsteady waves in the prisms of rectangular cross section. Approach to solving this problem differs markedly from all previous issues of the dynamics of rectangular prisms, which mainly investigated their dispersion characteristics.

This paper deals with studying the process of propagation of unsteady waves in semi-infinite rectangular bars, exposed to impact shear forces on the face platform. System of exact three-dimensional motion equations of an isotropic elastic body is used. Applying a peculiar integration method, previously developed by the authors of this paper, exact analytic solutions to the posed problem for the final time value are found.

The results can be implemented in the production in designing special constructions, where there are impulsive effects on them.

Author Biographies

Назила Билал Расулова, National Academy of Sciences of Azerbaijan Institute of Mathematics and Mechanics Baku, AZ 1143, str. B. Vahabzadeh 9

Doctor of Physical and Mathematical Sciences

Department "Wave dynamics"

Гюльнар Ровшан Шамилова, National Academy of Sciences of Azerbaijan Institute of Mathematics and Mechanics Baku, AZ 1143, str. B. Vahabzadeh 9

Postgraduate

Department "Wave dynamics"

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Published

2014-06-20

How to Cite

Расулова, Н. Б., & Шамилова, Г. Р. (2014). Wave propagation in a rectangular bar, exposed to the impact tangential forces. Eastern-European Journal of Enterprise Technologies, 3(7(69), 26–30. https://doi.org/10.15587/1729-4061.2014.24816

Issue

Section

Applied mechanics