Root
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Conference Proceedings
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6th EUROMECH Nonlinear Dynamics Conference (ENOC 2008)
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The study of the Sommerfeld effect of the passage
of synchronous machine through resonance.
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This study was stimulated by the work [1], where in the

neighborhoodof resonance it was observed a "hanging" of oscillation frequency

of an electromotor on elastic platform. This "hanging" is realized

in the form of random oscillations [1] and is often called a

Sommerfeld effect [1--7].

1. Blekhman I.I. Self-synchronization of vibrators for some

vibration machines// Ingenernyj sbornik. – 1953. – V.16. pp.49 – 72

(in Russian).

2. Blekhman I.I. Synchronization of dynamical systems. – Moscow.:

Nauka, 1971. 896 с. (in Russian).

3. Blekhman I.I. Vibrational Mechanics. Singapore-New

Jersey-London-Hong Kong: World Scientific. 2000. 509 p.

(In Russian: Fizmatlit, 1994. 400 p).

4. Fidlin A.. Nonlinear Oscillations in Mechanical Engineering.

Berlin, Heidelberg. Springer-Verlag. 2006. 358 p.

5. Neishtadt A.I. Passage through resonance in a two-frequency

problem. // Doklady AN SSSR. – 1975. – V.221. pp.. 301 – 304.

6. Pechenev A.V. On motion of oscillatory systems with bounded

excitation near resonance.// Doklady AN SSSR. – 1986. – V.290. –

N1, pp. 12 – 15.

7. Neishtadt A. Scattering by resonances Selestial Mechanics and

Dynamical Astronomy. 1997. – V.65. pp.1 – 20.

neighborhoodof resonance it was observed a "hanging" of oscillation frequency

of an electromotor on elastic platform. This "hanging" is realized

in the form of random oscillations [1] and is often called a

Sommerfeld effect [1--7].

1. Blekhman I.I. Self-synchronization of vibrators for some

vibration machines// Ingenernyj sbornik. – 1953. – V.16. pp.49 – 72

(in Russian).

2. Blekhman I.I. Synchronization of dynamical systems. – Moscow.:

Nauka, 1971. 896 с. (in Russian).

3. Blekhman I.I. Vibrational Mechanics. Singapore-New

Jersey-London-Hong Kong: World Scientific. 2000. 509 p.

(In Russian: Fizmatlit, 1994. 400 p).

4. Fidlin A.. Nonlinear Oscillations in Mechanical Engineering.

Berlin, Heidelberg. Springer-Verlag. 2006. 358 p.

5. Neishtadt A.I. Passage through resonance in a two-frequency

problem. // Doklady AN SSSR. – 1975. – V.221. pp.. 301 – 304.

6. Pechenev A.V. On motion of oscillatory systems with bounded

excitation near resonance.// Doklady AN SSSR. – 1986. – V.290. –

N1, pp. 12 – 15.

7. Neishtadt A. Scattering by resonances Selestial Mechanics and

Dynamical Astronomy. 1997. – V.65. pp.1 – 20.