Dynamic damping of forced vibrations of gyroscopic system by damper with liquid flywheel
Authors: Chernikov S.A., Xue Y.
Published in issue: #10(70)/2017
DOI: 10.18698/2308-6033-2017-10-1685
Category: Mechanics | Chapter: Dynamics, Strength of Machines, Instruments, and Equipment
In recent years, liquid dampers are widely used in spacecraft for damping angular vibrations. Damping of the angular vibrations of gyroscopic systems by the use of a liquid damper has so far not been studied sufficiently. In this case, in order to increase the efficiency of the damper, it is necessary to optimize its parameters. In this article, we consider the dynamic damping of forced oscillations of a uniaxial gyro stabilizer by a damper with a toroidal cavity completely filled with a viscous liquid. An integro-differential equation describing the oscillations of a gyroscopic system is obtained. A new approach to optimizing the parameters of a liquid damper is proposed. The expression for the optimum coefficient of viscosity of a liquid is found. The results obtained can be used in the design of a liquid damper not only in gyroscopic instrumentation, but also in other areas.
References
[1] Pivovarov M.L., Chernousko F.L. Prikladnaya matematika i mekhanika - Journal of Applied Mathematics and Mechanics, 1990, vol. 54 (2), pp. 164-168.
[2] Shishakov K.V. Intellektualnye sistemy v proizvodstve - Intellectual systems in production, 2010, no. 1 (15), pp. 108-114.
[3] Marivani M. Numerical investigation of sloshing motion inside liquid dampers with and without submerged screens. PhD thesis, McMaster University, Hamilton, 2009,150 p.
[4] Chernikov S.A., Samer Salek. Vestnik MGTU im. N.E. Baumana. Seriya Priborostoenie - Herald of the Bauman Moscow State Technical University. Series Instrument Engineering, 2006, no. 4, pp. 111-125.
[5] Chernikov S.A., Li Ming. Vestnik MGTU im. N.E. Baumana. Seriya Priborostoenie - Herald of the Bauman Moscow State Technical University. Series Instrument Engineering, 2008, no. 4, pp. 38-55.
[6] Korenev B.G., Reznikov L.M. Dinamicheskie gasiteli kolebaniy: teoriya i tekhnicheskie prilozheniya [Dynamic vibration dampers: theory and technical application]. Moscow, Nauka Publ., 1988, 304 p.
[7] Pokusaev M.N. Dempfrovaniye krutil’nykh kolebaniy v valakh sudovykh dizeley: modelirovaniye, eksperimentalnye i naturnye issledovaniya. Dis. ... d-ra tekhn. nauk [Damping torsional vibrations in the shafts of marine diesel engines: modeling, experimental and field studies. Thesis for the degree of Doctor of Technical Sciences]. Astrakhan, 2005, 345 p.
[8] Efremov L. Teoriya i praktika issledovaniy krutilnykh kolebaniy silovykh ustanovok s primeneniyem kompyuternykh tekhnologiy [Computerized Analyses of Torsional Vibrations in Propulsion Units: Theory and Practice]. St. Petersburg, Nauka, 2007, 276 p.
[9] Chernikov S.A. Problemy mashinostroeniya i nadezhnosti mashin - Journal of Machinery Manufacture and Reliability, 2015, no. 5, pp. 54-61.
[10] Bogorjad I.B., Lavrova N.P. Prikladnaya mekhanika i tekhnicheskaya fizika - Journal of Applied Mechanics and Technical Physics, 2013, vol. 54, no. 2, pp. 59-64.