Comparison and analysis of two Coulomb friction models on the dynamic behavior of slider-crank mechanism with a revolute clearance joint

Wang, Qi; Zhang, Runsen; Zheng, Xudong

doi:10.1007/s10483-018-2371-9

Cited by 30 publications

(14 citation statements)

References 62 publications

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“…The analysis of slider crank mechanism in [33] and four bar linkage mechanism in this paper show that the nature of pendulum motion at the input increases the likelihood of chaotic behavior with higher numbers of frequencies in the system. These researches are beneficial studies on clearance and friction modeling and except [34][35] that ignored viscose effect, all of them are noncontinuous models [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33], without considering static, dynamic, and viscous effects. Here, examining the model of viscous friction in [16] ensures that the frictional force has no discontinuities.…”

Section: -Introductionmentioning

confidence: 86%

“…Tian et al [32] using modified Colomb friction law [13], proposed a new model for dry and lubricated cylindrical joints with clearance in spatial flexible multibody systems. Xudong et al [33] study comparing Coulomb friction models [13] on slidercrank mechanism with a revolute clearance joint, the normal and tangential forces acting on the contact points between the journal and the bearing are described. Marques et al [34] proposed a survey and a comparison of several friction force models for dynamic analysis of multibody mechanical systems.…”

Section: -Introductionmentioning

confidence: 99%

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Four - bar linkage mechanisms with continuous friction model in joint clearance

bamdad¹,

Javanfar²

2021

Preprint

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Clearance joint widely occurs in the components of mechanical systems as evidence of manufacturing errors. Since a proper set of parameters in the contact and friction model could lead to a higher precision of clearance analysis, the effect of friction models when surfaces collide with a non-zero tangential velocity is examined. Unlike the crank mechanism, a double rocker four - bar linkage mechanism as a challenging problem in the impact mode is analyzed. An investigation on the dynamic modeling and analysis of double rocker four - bar linkage mechanisms with frictional revolute clearance joints is presented. In the presence of clearance joints, asserting friction force, a novel formulation of the contact model is proposed after exploring the perfect continuous friction models with easy parameterization and analyzing the applicable compliant contact force models. The perfect continuous friction models including stribeck effect, static, dynamic, and viscous friction terms are studied, and four friction models (Ambrosio, Threlfall, Anderson and Brown) are thoroughly compared. Using an appropriate model, nonlinear dynamic behaviour is examined and to profit by Poincare portrait; it is proven that either strange chaos exists in the system response. FFT analysis expresses the friction and restitution coefficient inﬂuence the nonlinear dynamics of the mechanism signiﬁcantly. The main consideration here is to present a friction model for improving continuity and computational cost. This paper comes to efficiency of the brown friction model which is used in the clearance joint for first time. The results clearly reveal that the angular accelerations of the links and the contact forces in the continuous friction models are smoother and bounded.

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Section: -Introductionmentioning

confidence: 86%

Section: -Introductionmentioning

confidence: 99%

Four - bar linkage mechanisms with continuous friction model in joint clearance

bamdad¹,

Javanfar²

2021

Preprint

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show abstract

“…e Coulomb model is often used when considering tangential friction caused by friction. In order to obtain stable and accurate values, according to the literature [32], tangential friction can be expressed as…”

Section: Establishment Of the Tangential Contact Force Modelmentioning

confidence: 99%

Dynamic Modeling, Response, and Chaos Analysis of 2-DOF Hybrid Mechanism with Revolute Clearances

Chen

Tang

2020

Shock and Vibration

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Due to the errors arising from machining or assembly, the deformation during movement, and the wear of movement pairs, the clearance will be generated at the kinematic pair of the mechanism, and the service life or working accuracy of the mechanism is reduced. At present, most of the researches are in a simple mechanism with a single clearance, and there are few papers on the complex mechanism, such as the high-speed mechanism which contains multiple clearances. In order to give a computational methodology for the dynamic modeling and analysis of the planar multilink mechanism with multiple degrees of freedom and multiple clearances and master the dynamic characteristics of the planar multilink mechanism, the nonlinear dynamic models of the multiclearance hybrid seven-bar mechanism under different clearance numbers, different clearance values, different clearance positions, and different driving velocities are established and analyzed. The dynamic output response comparison diagram of the mechanism and the collision force diagrams and center trajectory diagrams of the mechanism at the clearance are given. Then, nonlinear dynamics of the mechanism is studied by different clearance values and driving speeds. The corresponding trajectory phase diagrams, Poincare maps, and bifurcation diagrams are given. The above research results provide an effective theoretical basis for the study about the nonlinear dynamic characteristics of the planar link mechanism with clearance and how to compensate or control the clearances.

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“…Over the past two decades, multifarious numerical algorithms and experimental studies have been presented to analyze the non-smooth dynamics of multibody systems [34][35][36][37][38][39] . Non-smooth contact forces mainly include normal and tangential (friction) forces.…”

Section: Introductionmentioning

confidence: 99%

Non-smooth dynamic modeling and simulation of an unmanned bicycle on a curved pavement

Zhang

Zheng

Chen

et al. 2022

Appl. Math. Mech.-Engl. Ed.

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The non-smooth dynamic model of an unmanned bicycle is established to study the contact-separate and stick-slip non-smooth phenomena between wheels and the ground. According to the Carvallo-Whipple configuration, the unmanned bicycle is reduced to four rigid bodies, namely, rear wheel, rear frame, front fork, and front wheel, which are connected by perfect revolute joints. The interaction between each wheel and the ground is simplified as the normal contact force and the friction force at the contact point, and these forces are described by the Hunt-Crossley contact force model and the LuGre friction force model, respectively. According to the characteristics of flat and curved pavements, calculation methods for contact forces and their generalized forces are presented. The dynamics of the system is modeled by the Lagrange equations of the first kind, a numerical solution algorithm of the dynamic equations is presented, and the Baumgarte stabilization method is used to restrict the drift of the constraints. The correctness of the dynamic model and the numerical algorithm is verified in comparison with the previous studies. The feasibility of the proposed model is demonstrated by simulations under different motion states.

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Comparison and analysis of two Coulomb friction models on the dynamic behavior of slider-crank mechanism with a revolute clearance joint

Cited by 30 publications

References 62 publications

Four - bar linkage mechanisms with continuous friction model in joint clearance

Four - bar linkage mechanisms with continuous friction model in joint clearance

Dynamic Modeling, Response, and Chaos Analysis of 2-DOF Hybrid Mechanism with Revolute Clearances

Non-smooth dynamic modeling and simulation of an unmanned bicycle on a curved pavement

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