 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| P.S. Krasil'nikov and A.Yu. Maiorov, "On the Stability of Equilibrium of a Mechanical System with Tracking, Potential, and Small Dissipative Forces," Mech. Solids. 53 (S2), 52-59 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
S2 |
Pages |
52-59 |
| DOI |
10.3103/S0025654418050102 |
| Title |
On the Stability of Equilibrium of a Mechanical System with Tracking, Potential, and Small Dissipative Forces |
| Author(s) |
P.S. Krasil'nikov (Moscow Aviation Institute (MAI), 125993, Moscow, Russia, krasil06@rambler.ru)
A.Yu. Maiorov (Moscow Aviation Institute (MAI), 125993, Moscow, Russia, ylam123@gmail.com) |
| Abstract |
We consider a holonomic non-conservative mechanical system with two degrees of freedom
that simulates the motion of a vane on the elastic bushing of the helicopter’s main or rudder screw in
the thrust plane. The system experiences the action of potential, nonconservative positional forces
and linear dissipative forces, which describe the effect of internal friction during deformation of the
vane and the effect of the external environment. A multiparameter family of stationary solutions of the
model is described, and an investigation of Lyapunov’s stability of a trivial solution in the presence of
small linear friction forces is carried out. Ziegler’s areas were plotted for different values of the problem parameters. |
| Keywords |
Ziegler’s effect, linear dissipative forces, non-conservative positional force |
| Received |
01 February 2018 |
| Link to Fulltext |
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