Nonlinear dynamics and analysis of a four-bar linkage with clearance

Tang, Yuanguang; Chang, Zongyu; Dong, Xiaogang; Hu, Yafei; Zhou, Yu

doi:10.1007/s11465-013-0258-6

Cited by 24 publications

(12 citation statements)

References 7 publications

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“…By using the perturbation coordinate approach [25,26,31], all the angles of bars and the displacement of slider 9 can be written as…”

Section: Establishment Of Kinematics Equation Containingmentioning

confidence: 99%

“…Farahan et al [24] investigated the nonlinear dynamic behavior of the four-bar mechanism containing clearance between the connecting link and rocker. Tang et al [25] explored the nonlinear dynamic behavior of the four-bar mechanism including the revolute clearance. It is certified that the chaos and the strange attractors exist in dynamic behavior by adopting the Poincaré portrait.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance

Chen

Jiang

Deng

et al. 2018

Shock and Vibration

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In order to understand the nonlinear dynamic behavior of a planar mechanism with clearance, the nonlinear dynamic model of the 2-DOF nine-bar mechanism with a revolute clearance is proposed; the dynamic response, phase diagrams, Poincaré portraits, and largest Lyapunov exponents (LLEs) of mechanism are investigated. e nonlinear dynamic model of 2-DOF nine-bar mechanism containing a revolute clearance is established by using the Lagrange equation. Dynamic response of the slider's kinematics characteristic, contact force, driving torque, shaft center trajectory, and the penetration depth for 2-DOF nine-bar mechanism are all analyzed. Chaos phenomenon existed in the mechanism has been identified by using the phase diagrams, the Poincaré portraits, and LLEs. e effects of the different clearance sizes, different friction coefficients, and different driving speeds on dynamic behavior are studied. Bifurcation diagrams with changing clearance value, friction coefficient, and driving speed are drawn. e research could provide important technical support and theoretical basis for the further study of the nonlinear dynamics of planar mechanism.

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“…By using the perturbation coordinate approach [25,26,31], all the angles of bars and the displacement of slider 9 can be written as…”

Section: Establishment Of Kinematics Equation Containingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance

Chen

Jiang

Deng

et al. 2018

Shock and Vibration

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“…Therefore, multiple clearance revolute joints should be considered when analyzing the dynamic behavior of a mechanism system. Tang et al [37] studied the response that resulted from the constant crank speed and the different clearance size. It was proved from Poincaré map that the phenomena of chaotic, periodic, and subharmonic response could be found in the special conditions.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics Response of a Planar Mechanism with Two Driving Links and Prismatic Pair Clearance

Marghitu

Zhao

2017

Mathematical Problems in Engineering

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The influence of the joint clearance on the dynamic response of a planar mechanism with two driving links and prismatic pair clearance is investigated under variable input speeds of the system. The simulation model was built with a nonlinear impact model. The normal contact force is characterized by Hertz contact theory and an energy dissipation term. A tangential friction force is involved in the simulation model based on Coulomb's friction law. The simulation results indicate that the largest Lyapunov exponents are dependent on the clearance size and the input speed.

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“…Spurious oscillations may appear in the simulation of these contact modes (see e.g. [23,35,65,50,27,73], [22,Figures 4.22,4.23]). Moreover the regularization of Coulomb's law at zero tangential velocity (i.e.…”

Section: Introductionmentioning

confidence: 99%

Analysis of collocated feedback controllers for four-bar planar mechanisms with joint clearances

2016

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International audienceThis article presents an analysis of two-dimensional four-bar mechanisms with joint clearance, when one joint is actuated by collocated open-loop or state feedback controllers (proportional-derivative, state feedback linearization, passivity-based control). The study is led with numerical simulations obtained with a projected Moreau-Jean's event-capturing algorithm. The contact/impact model uses kinematic coefficients of restitution, and Coulomb's friction. The focus is put on how much the performance deteriorates when clearances are added in the joints. It is shown that collocated feedback controllers behave in a very robust way

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Nonlinear dynamics and analysis of a four-bar linkage with clearance

Cited by 24 publications

References 7 publications

Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance

Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance

Nonlinear Dynamics Response of a Planar Mechanism with Two Driving Links and Prismatic Pair Clearance

Analysis of collocated feedback controllers for four-bar planar mechanisms with joint clearances

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