Victor Zhuravlev
pr. Vernadskogo, 101, block 1, Moscow, 119526, Russia
A. Ishlinsky Institite for Problems in Mechanics, RAS
Publications:
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Zhuravlev V. F., Rozenblat G. M.
Estimates of Solutions During Motion of the Euler –Poinsot Top and Explanation of the Experiment with Dzhanibekov’s Nut
2020, Vol. 16, no. 3, pp. 517-525
Abstract
This paper presents secure upper and lower estimates for solutions to the equations of
rigid body motion in the Euler case (in the absence of external torques). These estimates are
expressed by simple formulae in terms of elementary functions and are used for solutions that
are obtained in a neighborhood of the unstable steady rotation of the body about its middle
axis of inertia. The estimates obtained are applied for a rigorous explanation of the flip-over
phenomenon which arises in the experiment with Dzhanibekov’s nut.
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Zhuravlev V. F.
Van der Pol’s controlled 2D oscillator
2016, Vol. 12, No. 2, pp. 211-222
Abstract
There are two reasons for 2D auto-oscillations to be of such interest for analysis. Firstly, mechanical systems based on such a model are widely used. Secondly, unlike 1D van der Pol’s oscillator, a 2D model as a mathematical object has much more characteristics: in addition to potential and dissipative forces, more complicated forces can be taken into account, which characterize different specific behaviors of the oscillator.
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Zhuravlev V. F.
Notion of constraint in analytical mechanics
2012, Vol. 8, No. 4, pp. 853-860
Abstract
A critical review of such notions as holonomic and non-holonomic, unilateral and binary constraints is given. The correctness of these models is considered.
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Zhuravlev V. F.
Comments on "Lagrangian mechanics and dry friction" by V. V. Kozlov
2011, Vol. 7, No. 1, pp. 147-149
Abstract
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Zhuravlev V. F.
Reply to A. V. Borisov
2010, Vol. 6, No. 3, pp. 671-674
Abstract
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