Vibro-impact system with non-ideal excitation: analytical investigations

This paper is concerned with an oscillator attached to a crank-slider mechanism, where the driving torque is not assumed as constant, but as dependent on its angular velocity. Moreover, it is affected by the motion of the oscillator, i.e. it represents the so-called non-ideal excitation. The displac...

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Bibliographic Details
Published inNonlinear dynamics Vol. 106; no. 1; pp. 105 - 123
Main Authors Zukovic, Miodrag, Hajradinovic, Dzanko, Kovacic, Ivana
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.09.2021
Springer Nature B.V
Subjects
Amplitudes
Angular velocity
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Exact solutions
Excitation
Frequency stability
Grinding machines
Impact velocity
Investigations
Machine tools
Mechanical Engineering
Original Paper
Percussion
Pile driving
Simulation
Steady state
Torque
Velocity
Vibration
Impact solutions
Amplitude–frequency curves
Stability
Vibro-impact systems
Analytical analysis
Non-ideal excitation
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Summary:This paper is concerned with an oscillator attached to a crank-slider mechanism, where the driving torque is not assumed as constant, but as dependent on its angular velocity. Moreover, it is affected by the motion of the oscillator, i.e. it represents the so-called non-ideal excitation. The displacement of the oscillator is limited by a barrier, and the impact can occur. Consequently, the system response can be both impact and non-impact, which makes the influence on the driving torque unknown, and important to predict for practical applications in hand-held percussion machines, pile driving machines, cutting and grinding machines, etc. This work provides the analytical analyses of the regular behaviour of such vibro-impact system with non-ideal excitation system for the first time. New insight into its dynamics is gained, in terms of the appearance of impact and non-impact solutions, values of the impact velocity and their dependence on other system parameters. Amplitude–frequency diagrams are also obtained, showing the regions of non-impact, impact behaviour, non-existence of period-one steady-state response, stable and unstable solutions and oblique jumps in the amplitude and frequency. The stability issue is also investigated, and novel results are obtained with respect to the impact velocity and the associated steady-state response. The analytical solutions are verified numerically, confirming their validity and accuracy.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-06842-0