Excitation of parametric resonances in mechanisms with rheonomic constraints subject to the joint effect of fast and slow variations of parameters

As applied to the dynamics of machines with rheonomic constraints, the dynamic stability conditions are studied within the frequency range of parametric resonances, with due account taken of impulse and slow variations of parameters. A modification is suggested for the conditional oscillator method,...

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Bibliographic Details
Published inJournal of machinery manufacture and reliability Vol. 45; no. 2; pp. 95 - 103
Main Author Vulfson, I. I.
Format Journal Article
LanguageEnglish
Published New York Allerton Press 01.03.2016
Springer Nature B.V
Subjects
Amplitude modulation
Constraints
Dissipation
Dynamic stability
Engineering
Frequency ranges
Kinematics
Machines
Manufacturing
Mechanics of Machines
Parameter modification
Processes
Machinery Manufacture
Parametric Resonance
Dissipation Factor
Slow Variation
Parametric Excitation
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ISSN1052-6188
1934-9394
DOI10.3103/S1052618816020163

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Summary:As applied to the dynamics of machines with rheonomic constraints, the dynamic stability conditions are studied within the frequency range of parametric resonances, with due account taken of impulse and slow variations of parameters. A modification is suggested for the conditional oscillator method, and the level of dissipation is determined on its basis, which is necessary to suppress parametric resonances and eliminate the amplitude modulation of oscillations within the kinematic cycle. Given properly selected parameters, the stability conditions are demonstrated to be independent of dissipation.
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ISSN:1052-6188
1934-9394
DOI:10.3103/S1052618816020163