A Finite Element Formulation of a Flexible Slider Crank Mechanism Using Local Coordinates

[+] Author and Article Information
Behrooz Fallahi

Department of Mechanical Engineering, Northern Illinois University, Dekalb, IL 60115

S. Lai, C. Venkat

Department of Mechanical Engineering, North Carolina A&T State University, Greensboro, NC 27411

J. Dyn. Sys., Meas., Control 117(3), 329-335 (Sep 01, 1995) (7 pages) doi:10.1115/1.2799123 History: Received September 01, 1993; Revised February 01, 1994; Online December 03, 2007


The need for higher manufacturing throughput has lead to the design of machines operating at higher speeds. At higher speeds, the rigid body assumption is no longer valid and the links should be considered flexible. In this work, a method based on the Modified Lagrange Equation for modeling a flexible slider-crank mechanism is presented. This method possesses the characteristic of not requiring the transformation from the local coordinate system to the global coordinate system. An approach using the homogeneous coordinate for element matrices generation is also presented. This approach leads to a formalism in which the displacement vector is expressed as a product of two matrices and a vector. The first matrix is a function of rigid body motion. The second matrix is a function of rigid body configuration. The vector is a function of the elastic displacement. This formal separation helps to facilitate the generation of element matrices using symbolic manipulators.

Copyright © 1995 by The American Society of Mechanical Engineers
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