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Short communications
Elastic guide rail oscillation due to moving concentrated load
V. P. Savchuk, P. A. Savenkov Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus
Abstract:
This article illustrates the solution of a differential equation describing oscillations of an elastic tensioned guide rail, which consist of string bundle enclosed in an elastic cylindrical shell, while concentrated load, simulated by a material point, moves along it. The oscillatory system is considered in such way that the guide rail supports freely. The existing external and internal forces of resistance to movement of the guide rail are also taken into account. Initial and boundary conditions are zero. In article «A string bend under a moving load», published in the journal «Vestnik BGU. Seriya 1, Fizika. Matematika. Informatika» (2004, No. 1), the deflection of a flexible guide rail under load was obtained by solving an equation with deviating argument. In this article, an algorithm is constructed for finding deflection of an elastic tensioned guide rail in the form of a cubic splines. All the results of calculations are presented in a dimensionless form.
Keywords:
wave equation; cubic spline; moving load.
Received: 22.02.2019
Citation:
V. P. Savchuk, P. A. Savenkov, “Elastic guide rail oscillation due to moving concentrated load”, Journal of the Belarusian State University. Mathematics and Informatics, 2 (2019), 62–66
Linking options:
https://www.mathnet.ru/eng/bgumi97 https://www.mathnet.ru/eng/bgumi/v2/p62
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Statistics & downloads: |
Abstract page: | 35 | Full-text PDF : | 13 | References: | 8 |
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