 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
|
| << Previous article | Volume 38, Issue 1 / 2003 | Next article >> |
| M. E. Gerts and M. M. Gerts, "Autoresonant oscillations in a restricted-excitation system," Mech. Solids. 38 (1), 41-44 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
1 |
Pages |
41-44 |
| Title |
Autoresonant oscillations in a restricted-excitation system |
| Author(s) |
M. E. Gerts (Moscow)
M. M. Gerts (Moscow) |
| Abstract |
To provide desirable oscillation modes in mechanical systems,
a coordinate feedback is frequently utilized. An influence
of the auto-oscillation-type excitation of a system on the Sommerfeld
effect is considered. The Sommerfeld effect is modeled by
restricted-excitation oscillating systems [1-4]. The conditions
for the existence, stability, and self-excitation of
self-sustained oscillations of a linear oscillator are
analyzed in the first approximation of the averaging method.
The excitation is caused by the inertial forces of an unbalanced
rotor of the electric motor. The derivative of the driving torque
of the motor is defined as a function of the angle of rotation of
the rotor and the displacement of the oscillator.
The parameters providing an autoresonance in the system are determined.
Autoresonance is understood as "a resonance under the action
of a force generated by the motion of the system" [5].
The autoresonance mode in the case under consideration
is shown to be preserved when the parameters
of the oscillator and the motor change. In addition, the oscillation
modes which are unstable when the traditional excitation schemes
are utilized can become stable. |
| References |
| 1. | I. I. Blekhman, Self-synchronization
in Dynamical Systems [in Russian], Nauka, Moscow, 1971. |
| 2. | V. O. Kononenko, Oscillating Systems with Restricted
Excitation [in Russian], Nauka, Moscow, 1964. |
| 3. | A. A. Alifov and K. V. Frolov, Interaction of Nonlinear
Oscillating Systems with Energy Sources [in Russian],
Nauka, Moscow, 1985. |
| 4. | V. Ph. Zhuravlev and A. I. Menyailov, "Investigation
of a vibroimpact system with restricted excitation,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 2, pp. 45-50,
1978. |
| 5. | A. A. Andronov, A. A. Vitt, and S. E. Khaikin,
Theory of Oscillations [in Russian],
Fizmatgiz, Moscow, 1959. |
| 6. | M. E. Gerts, "Autoresonant oscillations in an inertially excited
system,"
Izv. AN. MTT [Mechanics of Solids], No. 6, pp. 3-9,
1994. |
| 7. | Yu. A. Mitropol'skii, Averaging Method in Nonlinear
Mechanics [in Russian], Naukova Dumka, Kiev, 1971. |
| 8. | V. I. Babitskii and B. A. Borovkov,
"Stabilization of the autoresonance mode in vibration
machines," Mashinovedenie, No. 1, pp. 15-20, 1979. |
|
| Received |
15 October 2000 |
| << Previous article | Volume 38, Issue 1 / 2003 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English