Email this article Self-oscillation of the Froude pendulum (Numerical study)
- Authors: Sunarchin R.А.1, Petrov P.V.2
-
Affiliations:
- Peter the Great St.Petersburg Polytechnic University
- Ufa state aviation University technical University
- Issue: Vol 6, No 1 (2020)
- Pages: 35-42
- Section: Articles
- URL: https://dynvibro.ru/dynvibro/article/view/8075
- DOI: https://doi.org/10.18287/2409-4579-2020-6-1-35-42
- ID: 8075
Cite item
Full Text
Abstract
A numerical study of the self-oscillation of the Froude friction pendulum is presented. For comparison with approximate analytical or graphical solutions, the cubic approximation is used as one of the approximations of the friction characteristic; changes in the case of other approximations are shown.
By results of the conducted computational experiment was built characteristics of the amplitude of self-oscillations from dimensionless ratios, complexes of similarity, which showed the convergence of the estimated and actual (obtained by numerical integration) values of the amplitudes of oscillation for small values of friction and slope characteristics; if you increase the moment amplitude is also increased.
It is noted that the results of computer modeling will significantly depend on the design, manufacturing technology and operating conditions of the device in question.
About the authors
Robert А. Sunarchin
Peter the Great St.Petersburg Polytechnic University
Author for correspondence.
Email: sunar1939@mail.ru
Russian Federation
Pavel V. Petrov
Ufa state aviation University technical University
Email: pgl.petrov@mail.ru
Russian Federation
References
- Strelkov S. p. Introduction to the theory of vibrations. 2nd Ed.,Moscow: Science, 1964, 437 p.
- Aleshkevich V. A., Dedenko L. G., Karavaev V. A. Vibrations and waves. Lectures. ((Uni-versity course in General physics). Moscow: faculty of Physics, Moscow state University, 2001, 144 p.
- Magnus K. Vibrations: an Introduction to the study of vibrational systems. TRANS. from German-M.: Mir, 1982. - 304 p.
- Kauderer G. Nonlinear mechanics. TRANS. with him. Panovko Ya. G. Ed. "Foreign litera-ture", 1961, 777 p.
- Mayer R. V. Solving physical problems using the MathCAD package / R. V. Mayer. – Glazov: ggpi, 2006. - 37 p.
- Molotkov N. Ya., Lomakina O. V. Research of mechanical self-oscillating systems. GOU VPO "TSTU"; tolmt@nnn.tstu.ru
- Hayashi T. Nonlinear oscillations in physical systems. MIR publishing house, Moscow, 1968.
Supplementary files
