Abstract
Vibroimpact dynamics of a forced single-sided Hertzian contact oscillator are typically initiated by jumps phenomena near resonances. It was shown that high-frequency excitations can be used to shift the threshold of such vibroimpacts toward higher or lower frequencies of the basic excitation depending on the type of the high-frequency excitation. These excitations not only produce a shift, but also soften the system behavior. The present paper investigates the e ect of time delay state feedback on the threshold of vibroimpact dynamics of a forced Hertzian contact oscillator near the primary resonance. It is shown that for certain combinations of the gain parameters of delay state feedback, the jumps disappear leading the system to be maintained in contact when the excitation frequency sweeps through the resonance.
Highlights
In machinery in general and in rotating equipment in particular, many mechanisms ensuring transformation of motions typically use Hertzian contacts, as in ball or roller bearing, gears, push-cam systems, to quote a few; ses for instance [1,2,3,4,5] and references therein
Vibroimpact dynamics of a forced single-sided Hertzian contact oscillator are typically initiated by jumps phenomena near resonances
It was shown that high-frequency excitations can be used to shift the threshold of such vibroimpacts toward higher or lower frequencies of the basic excitation depending on the type of the high-frequency excitation
Summary
In machinery in general and in rotating equipment in particular, many mechanisms ensuring transformation of motions typically use Hertzian contacts, as in ball or roller bearing, gears, push-cam systems, to quote a few; ses for instance [1,2,3,4,5] and references therein. The performance of mechanisms evolving in such a contact-mode in term of preventing high levels of vibration, noise and contact loss, requires the contact-mode regime to be maintained during a scan of decreasing or increasing frequency through resonances This wanted dynamic phenomenon has been studied for an idealized preloaded and nonsliding dry Hertzian contact near resonances using numerical, analytical and experimental approches [68]. Performing techniques for controlling the location of jumps is highly essential in order to enhance the performance of the system and to prevent its deterioration In this context, three strategies were proposed to control the jumps in a Hertzian contact oscillator near the primary resonance [9]. The effect of time delay state feedback on the vibroimpact threshold of a forced Hertzian contact oscillator is analyzed near the primary resonance.
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