Dynamic analysis of a flexible linkage mechanism with cracks and clearance

Dupac, Mihai; Beale, David G.

doi:10.1016/j.mechmachtheory.2010.07.006

Cited by 58 publications

(28 citation statements)

References 45 publications

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“…It is shown that in the presence of clearance, the coupler flexibility has a role of suspension for the mechanism. Dupac and Beale [29] studied a planar mechanism with a flexible rod with cracks and a slider clearance. The results show that clearance and imperfect links change the dynamical behavior of the system.…”

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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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“…Crank-slider and four-bar mechanisms with clearance are the typical mechanisms of these studies [7][8][9][10]. The different methods for building a dynamic model to introduce clearance into general mechanism equations from the previous studies have both its advantages and disadvantages, which will be discussed later.…”

Section: Introductionmentioning

confidence: 99%

“…Periodic and chaotic performances were analyzed with factors on the typical mechanism of crankslider and four-bar mechanisms. Nonlinear methods such as phase space [7], center trajectory [29], Poincaré map [30], Lyapunov exponent [26], and bifurcation diagram [31] are used to study linear and nonlinear behavior.…”

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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“…In the case of oversized joint clearances, contact forces generate impulsive effect, and this situation causes increased vibration and noise, and reduce system reliability, stability, life and precision. So, clearances play a significant role in the prediction of kinematic and dynamic behavior of reciprocating compressor [3].…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of reciprocating compressor system with translational clearance and time-varying load

Song¹,

Xiao²,

Song³

et al. 2017

Vib. proced.

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Abstract. Dynamic behavior of reciprocating compressor system, with translational clearance between the crosshead and guide under time-varying cylinder load, is investigated. In order to analyze the dynamic response of the system with translational clearance, a novel nonlinear dynamic model is established based on the Lagrangian approach. The numerical solution of the dynamic equation is calculated by the Runge-Kutta method. The results show that the translational clearance has a great effect on the reciprocating compressor, and the more the translational clearance, the great the influence. Moreover, the phase space of the crosshead reveals that the reciprocating compressor system with translational clearance has chaotic characteristics.

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Dynamic analysis of a flexible linkage mechanism with cracks and clearance

Cited by 58 publications

References 45 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

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

Dynamic analysis of reciprocating compressor system with translational clearance and time-varying load

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