 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 80, Issue 2 / 2016 | Next article >> |
| N.P. Plakhtienko and B.M. Shifrin, "The Ishlinskii oscillator model in the Keldysh shimmy problem," J. Appl. Math. Mech. 80 (2), 127-132 (2016) |
| Year |
2016 |
Volume |
80 |
Issue |
2 |
Pages |
127-132 |
| DOI |
10.1016/j.jappmathmech.2016.06.003 |
| Title |
The Ishlinskii oscillator model in the Keldysh shimmy problem |
| Author(s) |
N.P. Plakhtienko (Kirovograd Flight Academy, National Aviation University of Ukraine, Kirovograd, Ukraine)
B.M. Shifrin (Kirovograd Flight Academy, National Aviation University of Ukraine, Kirovograd, Ukraine, b_shifrin@mail.ru) |
| Abstract |
A.Yu. Ishlinskii's idea concerning the correspondence between a "vibrating system at the threshold of stability and a hypothetical one-degree-of-freedom linear system" is used. For the case of linear shimmy, procedures are proposed for constructing an oscillator model, checking its correspondence to a prescribed system, and using it to find the vibration frequencies and amplitudes. Within the framework of M.V. Keldysh's most simple calculation scheme, the shimmy of a towed, pliant pneumatic tyre is examined. The obtained laws of turning of the towing gear are compared with the results of numerical integration of the initial equations of motion. It is established that the oscillator model fits the Keldysh system adequately, at least if the length of the towing gear is no smaller than the radius of the pneumatic wheel. |
| Received |
29 June 2015 |
| Link to Fulltext |
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