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Influence of Vibration of Links on Mechanism Motion

Hać M.

Machine Dynamics Research

2018

Vol. 42, No. 4

93--100

In this paper a finite element method with 2D beam elements is derived for flexible planar linkages for the case of mutual dependence between rigid and elastic motions. For this purpose both rigid body and elastic degrees of freedom are considered as generalized coordinates during the derivation procedure and are substituted to the Gibbs-Appel equation. This procedure requires formulation of the shape functions for rigid body motion of finite elements. The numerical calculations are conducted for the case of planar slidercrank mechanism with the goal of determining the influence of the vibration of links on the mechanism motion. The results of numerical simulation show that for transient analysis the influence for large displacement mechanism motion has limited impact.