Dynamic analysis of planar multi-body systems with LuGre friction at differently located revolute clearance joints

Muvengei, Onesmus; Kihiu, John; Ikua, Bernard W.

doi:10.1007/s11044-012-9309-8

Cited by 107 publications

(64 citation statements)

References 41 publications

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“…They further investigated the effects of joint clearances on mechanism path generation and transmission quality using the genetic algorithm [16]. The influences of the locations of the clearance joints on the dynamic responses of planar rigid multi-body systems with and without friction were analyzed, respectively, by Muvengei et al [17,18]. Moreover, they studied the effects of dynamic interactions between multiple revolute clearance joints on the behavior of planar rigid body mechanical systems [19].…”

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confidence: 99%

A comprehensive model for 3D revolute joints with clearances in mechanical systems

2015

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A mechanical system with clearance joints is well known as a nonlinear dynamic system that may exhibit chaotic responses under certain conditions. In the previous literature, the model for clearance joint is extensively investigated since it plays a significant role in prediction of kinematic and dynamic behavior of the system. A large volume of the literature only focuses on radial clearances, whereas, due to manufacturing and assembling errors, axial clearances also exist in joints, which have been scarcely considered. In this study, a comprehensive model for 3D revolute joints with radial and axial clearances is proposed. An experiment of the 3D revolute joint with clearances is firstly conducted to reveal the characteristics of the relative motion between the journal and bearing. According to the kinematic features, a model for 3D revolute joints with radial and axial clearances is proposed. This model presents a comprehensive description of the contact modes in which a group of contact force models are employed to reflect different contact-impact phenomena. Thus, the axial movement of the journal relative to the bearing and misalignment between the two elements could be characterized by this model. Moreover, a numerical simulation of the experiment is performed to validate the model presented in this study. Finally, a four-bar mechanism is taken as an example to illustrate its application and investigate the nonlinear dynamics of this system. List of symbolsO − i 1 i 2 i 3 Global coordinate system O − e 1 e 2 e 3 Local coordinate system R Radius (m) δ Penetration depth (m) F Magnitude of a force (N) M Magnitude of a moment (N m) K Generalized stiffness (N/m 1.5 ) D Damping coefficient (N s/m) υ Poisson's ratio of each sphere (i = 1, 2) E Young's modulus of each sphere (i = 1, 2), GPȧ δ Penetration velocity (m/s) δ − Initial impact velocity (m/s) s Half-length of contact area width (m) l Length of the contact area (m) p Pressure (m Pa) V Relative tangential velocity (m/s) V s Stick-slip switch velocity (m/s) V d Static-sliding friction switch velocity (m/s) μ s Static friction coefficient μ d Sliding friction coefficient 123 S. Yan et al. ω Angular velocity (rad/s) c Radial clearance (mm)

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confidence: 99%

A comprehensive model for 3D revolute joints with clearances in mechanical systems

2015

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“…Since the normal contact force at a revolute clearance joint can be obtained from the contact force models as illustrated in Eq. (23), then from the classical definition of friction based on the LuGre friction law [50], we have:…”

Section: Model Of Friction Forcementioning

confidence: 99%

A study on dynamics of flexible multi-link mechanism including joints with clearance and lubrication for ultra-precision presses

et al. 2015

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It is essential to establish a dynamic model of flexible multi-link mechanism with clearance and lubrication for ultra-precision presses to analyze its dynamic response. Traditional dynamic models of mechanical system rarely consider the effect of flexibility, revolute and spherical clearance joints, and lubrication together, which causes lower precision analysis. In order to study the dynamic characteristics of multi-link mechanism more accurately, a novel dynamic model of flexible multi-link mechanism with clearance and lubrication for ultra-precision presses is established in the present work, which considers the effect of revolute and spherical clearance joints, lubrication, and flexibility of crank shaft and linkage. It is demonstrated that the dynamic responses of flexible multi-link mechanism with lubricated clearance joint model agree better with experimental data than those with dry clearance model and the validity of the proposed model is verified. The simulation results also show that the existence of lubrication reduces the dynamic responses of flexible multi-link mechanism with revolute and spherical clearance in a significant manner and act as a suspension for multi-link mechanism.

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“…In this article, the influence of the updated geometry on generalized stiffness (K in Eq. [24]) is not considered.…”

Section: Integration Of Wear Model Into Dynamic Analysismentioning

confidence: 99%

Numerical Study of the Effects on Clearance Joint Wear in Flexible Multibody Mechanical Systems

Zhao

Dai

Zhang

et al. 2015

Tribology Transactions

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This article numerically investigates the effects of flexibility at different locations on a mechanism on the wear at a clearance joint as well as the dynamic performance of a multibody mechanical system. A numerical approach is proposed for the modeling and prediction of wear at a revolute clearance joint in a flexible multibody mechanical system by integrating the procedures of wear prediction with multibody dynamics. Using this approach, a planar slider-crank mechanism including a clearance joint is used as an illustrative case. The effects of the flexibilities of a connecting rod and crankshaft on the clearance joint wear are compared. From the main results obtained, it can be concluded that the differently located flexibilities of the mechanism have different effects on the clearance joint wear and dynamic performance of the system. The flexibility of a connecting rod has a positive influence on reducing the impact and wear at the revolute clearance joint. Moreover, the higher the value of the connecting rod flexibility, the more positive the influence will be. However, the influence of the flexibility of a crankshaft on the impacts and wear at a clearance joint is very complex. It is not always as positive as that of the connecting rod but has much to do with the operating speed of the mechanical system. Even when the system has a high operating speed, the flexibility of the crankshaft will cause greater impacts and hence aggravate the wear at the joint.

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Dynamic analysis of planar multi-body systems with LuGre friction at differently located revolute clearance joints

Cited by 107 publications

References 41 publications

A comprehensive model for 3D revolute joints with clearances in mechanical systems

A comprehensive model for 3D revolute joints with clearances in mechanical systems

A study on dynamics of flexible multi-link mechanism including joints with clearance and lubrication for ultra-precision presses

Numerical Study of the Effects on Clearance Joint Wear in Flexible Multibody Mechanical Systems

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