ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Vulfson I. I. Effect of low-frequency vibrations on nonlinear dissipative forces. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 4, pp. 51-65. DOI: 10.18500/0869-6632-2012-20-4-51-65

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
534
DOI: 
10.18500/0869-6632-2012-20-4-51-65

Effect of low-frequency vibrations on nonlinear dissipative forces

Autors: 
Vulfson Iosif Isaakovich, Saint-Petersburg State University of Technology and Design
Abstract: 

The paper examines the impact of the slow movements to effective values of dissipative forces in the equations of fast motion of oscillatory system. It was previously shown that the dissipative characteristics obtained experimentally under harmonic oscillations can change significantly with polyharmonic excitation. In this paper the problem is considered in more detail in relation to the determination of the resonance amplitudes and threshold conditions for parametric and subharmonic resonances.

Key words: 
Slow and fast motion
vibration
nonlinear dissipative forces
the dynamical stability
parametric resonance
subharmonic resonance
Reference: 
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Received: 
28.05.2012
Accepted: 
10.10.2012
Published: 
31.10.2012
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