Regular Article
THE NON-LINEAR DYNAMIC BEHAVIOR OF AN ELASTIC LINKAGE MECHANISM WITH CLEARANCES

https://doi.org/10.1006/jsvi.2001.3771Get rights and content

Abstract

In terms of Newton two-state model, by choosing two sets of generalized co-ordinates, this paper develops a unified dynamic model between the separation and collision process for the elastic linkage mechanism. This model incorporates the effects of rigidity and elasticity coupling and the angular velocity of crank is assumed to be variable in the operation. In addition, this paper provides a more simple and practical numerical solution method for convenient analysis. Through an example, the dynamic responses of the elastic linkage mechanism with clearances are analyzed, both the effects of elasticity and clearance on the dynamic behaviors of the mechanism are analyzed simultaneously and the non-linear behaviors caused by the clearance joints are analyzed by the dynamic model of rigid mechanism.

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    The evolution laws of coupling rub-impact and nonlinear behavior for double translational joints with subsidence considering the flexibility of piston rod was investigated. J. Chunmei et al. [18] used the unified dynamic model to analyze the dynamic response of elastic four-bar linkage with clearance. Schwa et al. [19] established models of rigid and flexible components respectively, and introduced a method to estimate the maximum contact force generated by collision in the clearance.

  • A comprehensive survey of the analytical, numerical and experimental methodologies for dynamics of multibody mechanical systems with clearance or imperfect joints

    2018, Mechanism and Machine Theory
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    From the manufacturing and operating points of view, the existence of a gap in the joints is necessary and unavoidable, because of manufacturing and assembly tolerances, and more importantly, to allow some flexibility and permit the relative motion between adjacent parts [33–51]. If there is no lubricant in the mechanical joints, direct collisions take place in the mechanical systems causing vibration and fatigue phenomena [22,25,52–58]. In some applications, the joints are designed to run with some fluid lubricant, with the purpose of reducing friction, wear and to provide load capacity to keep the joint elements apart [9,44,59–66].

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