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Proceedings of the Mavlyutov Institute of Mechanics


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Yakupov R.G. Stresses and deformations in the rod under the action on the end of the dynamic load Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 7 (2010). 219–229.
2010. Vol. 7. Issue 1, Pp. 219–229
URL: http://proc.uimech.org/uim2010.1.020,en
DOI: 10.21662/uim2010.1.020
Stresses and deformations in the rod under the action on the end of the dynamic load
Yakupov R.G.
Institute of Mechanics, Ufa

Abstract

The stresses and deformations of a semi-infinite rod located in an elastic medium are considered when the dynamic load acts on the end face. Using the respect to time Laplace transform, a system of two differential equations of motion of the theory of Timoshenko beams has been solved. The integrals obtained are determined numerically. The graphs of the change in deflection and bending moment along the longitudinal coordinate are given.