Email this article Controlling the vibration process of vibration protection systems with dynamic damping
- Authors: Chernyshev V.1, Fominova O.1
-
Affiliations:
- Orel State University named after I.S. Turgenev
- Issue: Vol 4, No 3 (2018)
- Pages: 42-49
- Section: Articles
- URL: https://dynvibro.ru/dynvibro/article/view/6520
- DOI: https://doi.org/10.18287/2409-4579-2018-4-3-42-49
- ID: 6520
Cite item
Full Text
Abstract
The article deals with theoretical aspects of controlling the oscillation process in vibration protection systems with a dynamic damping based on the use of modern information technologies. The justification of the principle of minimum and minimax procedure for the formation of optimal control of oscillation processes is given. It is shown that a direct method of integrating the equations of state, when observing the minimax procedure, allows us to find the values of the components of the optimal control vector directly at each integration step. The minimax procedure algorithm of the minimum principle is used to solve the optimization problem of dynamic damping of oscillations. A synthesizing control function is found that allows eliminating resonant phenomena and providing attenuation of transient processes within a single period of kinematic action.
About the authors
Vladimir Chernyshev
Orel State University named after I.S. Turgenev
Author for correspondence.
Email: chernyshev_46@mail.ru
Doctor of Technical Sciences, Professor of the Department of Mechatronics, Mechanics and Robotics,
Russian FederationOlga Fominova
Orel State University named after I.S. Turgenev
Email: chernyshev_46@mail.ru
Ph.D., associate professor of the department of Mechatronics, Me-chanics and Robotics,
Russian FederationReferences
- Frolova, K.W. (ed.) (1981), Vibrations in technology: Reference. Protection from vibration and shock, Mechanical Engineering, Moscow, Russia, vol. 6, 456 p.
- Troitsky, V.A. (1976), Optimal processes of oscillations of mechanical systems, Mechanical Engineering, Leningrad, Russia, 248 p.
- Fominova, O.V. (2005), Intermittent damping in systems of vibration-shielding: the fundamentals of the theory, applications, Mashinostroenie-1, Moscow, Russia, 256 p.
- Chernyshev, V.I. (1993), “The manifestation of a local effect in the method of dynamic programming and the optimal control of vibration protection systems”, News of universities, Instrument making, no. 5, pp. 55-59.
- Fominova, O.V., Savin, L.A. and Chernyshev, V.I. (2013), “Theoretical aspects of the formation of optimal controlled vibration protection processes”, Izvestiya Yugo-Zapadnogo Gosudarstvennogo Universiteta, Series: technika and technology , Publisher: YuZG, Kursk, Russia, no. 3, pp. 44-50.
- Balandin, D.V. and Fedorov, I.A. (2007), “Synthesis of an active dynamic vibration damper using linear matrix inequalities”, Vestnik of Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod, Russia, no. 6, pp. 153-159.
- Chernyshev, V.I., Fominova, O.V. and Barbashova, Т.А. (2011), “Vibroprotective system with controlled dynamical dampener”, Fundamental and applied problems of technology and technology, no. 5, pp.3-10.
- Chernyshev, V.I., Fominova, O.V. and Barbashova, Т.А. (2014), “Optimization of the damping process in the system of protection with a dynamic absorber”, Fundamental and applied problems of engineering and technology, no. 5, pp. 47-52.
- Chernyshev, V.I., Fominova, O.V., Petrakova, O.A. and Kolinko, E.A., Oryol State Technical University (2008), Dynamic damping, RF Pat. 2374520.
- Bensuan, A.and Liogg, J. (1987), Pulse control and quasi-variational inequalities, Nauka, Moscow, Russia, 596 p.
- Chernyshev, V.I. (1997), “Impact damping of oscillations with indirect impulse control”, News of Higher Educational Institutions, Mechanical Engineering, no. 7-9, pp. 5-10.
- Chernyshev, V.I., Fominova, O.V. and Belozerova, E.B. (2012), “System of vibration isolation with a controlled damper”, Handbook, Engineering Journal, no. 6, pp. 3-10.
- Chernyshev, V.I., Fominova, O.V. and Gneusheva, Е.М. (2004), “Systematization of vibration protection systems with an additional elastic-damping link of intermittent action. Handbook”, Engineering Journal, no. 9, pp. 31-35.
- Fominova, O.V., Stepanov, Yu.S. and Chernyshev, V.I. (2011), Extreme problems and optimization: introduction to the theory of indirect pulse control of vibration processes, Publishing House “Spektr”, Moscow, Russia.
- Ivanovsky, R.I. (2003), Computer technologies in science and education. Practice of application of Mathcad Pro systems, Higher education, Moscow, Russia.
- Chernyshev, V.I., Fominova, O.V. and Barbashova, Т.А. (2012), Dynamic damping, Russia, Patent for utility model no. 122721.
Supplementary files
