Mathematical Modeling
Vol. 3 (2019), Issue 4, pg(s) 105-108

THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING

MODELING OF A CYLINDRICAL BODY MOTION ON A VIBRATING SURFACE

  • 1 Eurasian National University named after L.N.Gumilev, Nur-Sultan, Kazakhstan

Abstract

The problems of continuous motion of a cylindrical body with a displaced center of mass along vibrating horizontal and inclined surfaces are considered.
The analytical solutions of the motion equations were obtained by the method of partial discretization of nonlinear differential equations [1] and graphs of changes in the rotation angles of a cylindrical body were constructed for various cases.

Keywords

References

  1. Tyurehodzhaev A.N. Analytical solutions of nonlinear equations and differential equations with variable coefficients. Proceedings of the «Actual Problems of Mechanics and Engineering» IV International Scientific Conference, II, Almaty, 40-57 (2014).
  2. Yelisseyev A.V., Selviskiy V.V., Yelisseyev S.V. Dynamics of vibrational interactions of elements of technological systems, taking into account unstable bonds: monograph. – Irkutsk: IrSTU, 2015. – 400 p.
  3. Markeev A.P. Theoretical Mechanics: A manual for Universities. - Moscow: CheRo, 1999.

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