Analytical determination of bifurcations of periodic solution in three-degree-of-freedom vibro-impact systems with clearance

Liu, Yongbao; Wang, Qiang; Xu, Huidong

doi:10.1016/j.chaos.2017.04.002

Cited by 7 publications

(2 citation statements)

References 16 publications

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“…[2][3][4][5] Luo et al 6 and Yue et al 7 analyzed periodic motion and bifurcation phenomenon of the dynamic response by Poincare´map based on the vibro-impact system with 2 or 3 degree of freedom. Liu et al 8,9 studied the non-continuous grazing bifurcation behavior based on the periodic motion of a 3-degreeof-freedom vibro-impact system. Liu et al 10 studied the vibro-impact in a tank laying on water and established the attractor to avoid bifurcation by the means of displacement feedback control, so as to achieve the control of forward and backward motion of the tank.…”

Section: Introductionmentioning

confidence: 99%

Vibration control analysis of the power head for a rotary drilling rig

Lei

Diao

2019

Advances in Mechanical Engineering

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Impacting between the multilayer Kelly bar and the power head has a detrimental effect on the drilling system and may cause huge losses to the construction engineering and machinery. This study is a further development of the vibro-impact mechanism, and especially, the study considers the constraint of the steel rope on the multilayer Kelly bar. Efficient analytical models are presented, and the total responses are obtained. Three types of displacement response are found by changing the matching relationship of global parameters. The first type has the optimal vibration control performance with the shortest path and no periodicity. The second type is inferior to the first type. The third type has the worst vibration-control performance with the longest path and periodicity. Then this article proposes the general feasibility to get the first type of displacement response and the most effective way is controlling the steel rope velocity. The research provides the foundation for the intelligent control of steel rope velocity on the rig machine.

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Section: Introductionmentioning

confidence: 99%

Vibration control analysis of the power head for a rotary drilling rig

Lei

Diao

2019

Advances in Mechanical Engineering

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“…This complexity is illustrated by [8] and [9]: they propose maps using clearance and excitation frequency as parameters showing the number of impacts within a period: it appears that the more complex behaviours are obtained for lower values of clearance. Some have proposed an analytical analysis of bifurcations [10,11] and showed discontinuity in bifurcation maps. Transitions between chaotic and periodic solutions have been widely studied on many nonlinear mechanical systems, such as pendulum [12], tank filled with water [13], disk brake [14], or cracked rotor [15].…”

Section: Introductionmentioning

confidence: 99%

Impact forces occurring in a forced damped multi-body system with clearances

Ricciardi¹

2018

SV-JME

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The purpose of this paper is to study the effect of clearance and other parameters on the maximal impact forces likely to occur in a forced multi-body system. Numerical simulations are performed for a large range of parameters. The numerical results showed three regions. In the first one, there is no contact between the bodies. The second one, defined as the smooth region, is characterized by regular evolution with a concentration of the impact forces at the boundaries. In the last one, where the most important impact forces are met, the system shows chaotic behaviours and coincides with the lower values of clearance. Theoretical upper bounds for the maximal forces are proposed and compared to numerical results. In the smooth region, the criterion is respected, but in the chaotic region, some discrepancies are observed. Nevertheless, the criterion gives a good estimation. The dimensionless analysis showed that the maximal impact force is proportional to the mass, the acceleration, the stiffness ratio and the inverse of the damping ratio.

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