Bifurcations of periodic motion in a three-degree-of-freedom vibro-impact system with clearance

Liu, Yongbao; Wang, Qiang; Xu, Huidong

doi:10.1016/j.cnsns.2016.12.018

Cited by 18 publications

(4 citation statements)

References 19 publications

(27 reference statements)

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“…The existence of special excitation during drilling usually leads to uncertain vibration response 3 – 6 . The works 9 – 12 studied the discontinuous vibration behavior of periodic motion based on a 3-dof collision system. In Table 1 , the dynamic response and vibration control method strategy in the multi-degree-of-freedom vibration system are proposed, which improves the system response performance.…”

Section: Introductionmentioning

confidence: 99%

Study on mechanical characteristics of anchor drilling rig group for rapid excavating

Xie

Zhang

et al. 2023

Sci Rep

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Aiming at the imbalance problem of excavating and anchoring efficiency ratio in the underground coal mine, a new type of parallel operation unit of excavation-supporting-anchoring is proposed to improve the excavating efficiency. Considering the uneven factors of the roof and floor of the coal mine roadway, the influence of different drilling angles and leg support angles on the leg support force is studied under the condition of simultaneous drilling of multiple drilling rigs. The results show that the maximum support force is 4.002 KN when the leg angle is different and the drilling angle is different. By constructing the coupling vibration model of the multi-drill drilling process and using the Lagrange method to solve the vibration law of key components of the anchorage system, the vibration law of drill pipe under different influencing factors such as cantilever extension, multi-drill simultaneous drilling, and drilling incident angle is studied. The results showed: (1) The vibration of the drill pipe in the cantilever extension state is more severe than that in the retracted state, and the maximum vibration peak reaches 7.61 mm. (2) The vibration response of the drill pipe is the most intense under the condition of four top anchor drilling rigs drilling at the same time. Under the working condition of only two drilling rigs, the vibration response of the drill pipe is the smallest. (3) As the drilling angle of the drilling rig increases, the vibration response of the drill pipe is more severe and the vibration amplitude is larger. A test prototype is built to simulate the actual anchoring drilling process, and the vibration law of the support platform and the drilling rig is obtained through the vibration detection system. The test results show that the vibration law of the key components is approximately the same as the theoretical simulation results. The relevant theoretical results can provide a technical basis for the drilling stability of the anchoring system.

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Section: Introductionmentioning

confidence: 99%

Study on mechanical characteristics of anchor drilling rig group for rapid excavating

Xie

Zhang

et al. 2023

Sci Rep

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“…[40] gave hard versus soft impacts in oscillatory systems modeling. Some applications of soft impact models in engineering were presented in [41]- [44], and some applications of hard impact models can be seen [45], [46]. Moreover, [47]- [55] considered the characteristics of the discontinuous systems subjected to impulsive, Boolean control and so on.…”

Section: Introductionmentioning

confidence: 99%

Discontinuous Dynamic Analysis of a Class of 2-DOF Oscillators With Strong Nonlinearity Under a Periodic Excitation

2021

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Starting from the car suspension system, the nonlinear characteristics of a class of twodegree-of-freedom oscillators with strong nonlinearity under a periodic excitation are discussed by the switching theory of flow in discontinuous dynamical systems. Based on the discontinuous forces and different motions of the two masses, the phase plane of each mass is composed of stick domain, nonstick domain (or free domain) and separation boundary in absolute and relative coordinates, respectively. The swithching criteria between the stick and nonstick motions and the conditions of grazing motion in two different regions are developed via the G-functions and switching control laws. The mapping dynamics theory is used to give the four-dimensional transformation set and four-dimensional mapping, and the conditions for periodic motions are explored. In addition, the stick motions, two kinds of grazing motions, periodic motions for this system and a comparison of the velocities, accelerations (or forces responses) of the two masses under the two conditions of control force are simulated numerically. The results show that the stability and comfort of the vehicle can be improved by adjusting the control force, which is generated by the control unit of system or exerted by the external excitation. For further investigating the influence of system parameters on dynamical behaviors, the stick and grazing bifurcation scenarios varying with driving frequency or amplitude are also developed, which can provide useful information for parameter selection of vibration systems with clearance and the optimal design of vehicle suspension systems. This paper also has important reference value for practical applications in other industries or machinery with elastic impacts.

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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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Bifurcations of periodic motion in a three-degree-of-freedom vibro-impact system with clearance

Cited by 18 publications

References 19 publications

Study on mechanical characteristics of anchor drilling rig group for rapid excavating

Study on mechanical characteristics of anchor drilling rig group for rapid excavating

Discontinuous Dynamic Analysis of a Class of 2-DOF Oscillators With Strong Nonlinearity Under a Periodic Excitation

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

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