A parametric study on the dynamic response of planar multibody systems with multiple clearance joints

Abstract

A general methodology for dynamic modeling and analysis of multibody systems with multiple clearance joints is presented and discussed in this paper. The joint components that constitute a real joint are modeled as colliding bodies, being their behavior influenced by geometric and physical properties of the contacting surfaces. A continuous contact force model, based on the elastic Hertz theory together with a dissipative term, is used to evaluate the intra-joint contact forces. Furthermore, the incorporation of the friction phenomenon, based on the classical Coulomb's friction law, is also discussed. The suitable contact-impact force models are embedded into the dynamics of multibody systems methodologies. An elementary mechanical system is used to demonstrate the accuracy and efficiency of the presented approach, and to discuss the main assumptions and procedures adopted. Different test scenarios are considered with the purpose of performing a parametric study for quantifying the influence of the clearance size, input crank speed and number of clearance joints on the dynamic response of multibody systems with multiple clearance joints. Additionally, the total computation time consumed in each simulation is evaluated in order to test the computational accuracy and efficiency of the presented approach. From the main results obtained in this study, it can be drawn that clearance size and the operating conditions play a crucial role in predicting accurately the dynamic responses of multibody systems.

A review of friction models in interacting joints for durability design

“…Friction modelling has progressed from specific models analysing friction at the interface of geometries [11][12][13][14], to the analysis of friction at manipulator joints [4,7,15] with clearance and their kinematics and dynamic [16][17][18][19][20][21][22][23][24][25]. Marques et al [26] have recently surveyed friction models in single degree of freedom in planar systems.…”

“…Modelling and simulation of multibody dynamics with joint clearances is relatively new area of research [96]. Three reviews are identified from literature namely Haines [101]-unlubricated revolute joints (1979), Flores (2010) [21] and Machado et al-compliant contact force models (2012) [102]. The problem of multibody impact with friction was first analysed by Routh in 1891 [100].…”

“…[121]. Other solution methods include differential variation inequality (DVI) and Moreau's time stepping algorithm [21,121]. However the limitation in Ref.…”

“…10, most literature utilises modified Coulomb friction law for computing tangential force at the point of impact. The predominant model for friction employed in dynamic models with clearance in joints is Coulomb dry friction model or modified Coulomb dry friction model [19,21,67,122]. This can be explained by the fact that friction effect is only a minor component of the dynamic contact phenomenon in a joint with clearance and therefore is relegated in the analysis.…”

Investigation on Dynamics of Mechanical System with Clearance Joint

“…Flores et al (2004) [14] presented dynamic analysis of planar multi-body systems with revolute joint clearances, including dry contact and lubricant effect. Recently, Flores (2010) [15] presented a parametric study on the dynamic response of planar multi-body systems with multiple clearance joints. An elementary slider-crank *Address correspondence to this author at the No.2, Wen-hua West Road, Weihai, Shandong.…”