 | | 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
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| In English (J. Appl. Math. Mech.): | | 799 |
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| D.K. Andreichenko and K.P. Andreichenko, "he stability of a non-potentially loaded discrete-continuous gyroscopic system with internal and external friction," J. Appl. Math. Mech. 76 (3), 275-283 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
3 |
Pages |
275-283 |
| Title |
he stability of a non-potentially loaded discrete-continuous gyroscopic system with internal and external friction |
| Author(s) |
D.K. Andreichenko (Saratov, Russia)
K.P. Andreichenko (Saratov, Russia, kp_andreichenko@renet.ru) |
| Abstract |
The problem of the stability of the axial rotations of a symmetric rotor by means of an elastic shaft in the form of a thin straight rod, when there is a follower force and linear dissipation, is considered. Linearized equations for the displacement of the rotation of the rotor and the transverse plane oscillations of the rod are presented in a complex form as well as the boundary conditions. Using the standard procedure of a Laplace transformation with respect to time, relations for the images are obtained which are then solved by means of quasipolynomials of the complex transform parameter, and an asymptotic analysis of them is carried out. The effect of a follower force is investigated and its critical values are determined. The results of mathematical modelling for specific numerical values of the parameters are presented. |
| Received |
30 September 2010 |
| Link to Fulltext |
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