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Science Newsletter of the Faculty fo Physics
This is a new bulletin, which, as we hope, will bring fresh, updated information on scientific news, research activities, and related events in the life of our department to our staff members, undegraduate and graduate students, postdocs, collaborators and partners. We greatly hope that this Science Newsletter will help us to find new partners in research and shorten the way from fundamental research to applications and innovations, from our fundamental discoveries to their successful implementations in not too distant future.
XIV National School-Seminar "Wave phenomena in inhomogeneous media"
The conference papers from the School-Seminar «Waves-2014» will be submitted for publishing in the Memoirs of the Faculty of Physics journal.
| Journals » Memoirs of the Faculty of Physics » Issues » 2014 » # 5 |
Investigation of the possibility of existence the asymmetrical steady-state nonlinear vibrations of the oscillator with dry friction
A.V.Fokin
Andreyev Acoustics Institute, Shvernika Str., 4, Moscow, 117036, RussiaForced vibrations of the oscillator with dry (Coulomb) friction are studied. Earlier the class of asymmetrical decisions describing the steady-state nonlinear vibrations of the oscillator was found. Asymmetry of vibrations is exhibit in distinction of amplitudes in opposite directions. The specified class of decisions is received on the following assumptions: duration of one cycle of vibrations is equal to the period of force exciting vibrations, duration of half-cycles (time of movement in opposite directions) are equal, there are no stops of nonzero duration and change of the movement direction on each of the half-cycles. In this work the question of the possibility of the specified class decisions expansion due to refusal of a condition of equality of half-cycles is investigated. It is shown that there can be only two types of decisions. The first decision is received in an explicit form, however numerical modeling for rather representative set of parameters showed that it doesn't meet a condition of the absence of the movement direction change on each of the half-cycles. For the second type of decisions the transcendental equation determining duration of half-cycles is established.
| URL: | http://uzmu.phys.sunmarket.com/abstract/2014/5/145317 |
| PACS: | 40.00.00 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
| UDC: | 534.014 |
| Цитата: | А.В.Фокин. Исследование возможности существования несимметричных установившихся режимов вынужденных нелинейных колебаний осциллятора с сухим трением // Учен. зап. физ. фак-та Моск. ун-та. 2014. № 5. 145317 |