Formulation of Flexible Beam with Large Rotation Using CMS.

Abstract

This paper establishes a new formulation strategy of the flexible beam with large rotation motion. The finite element based formulation, that is previously presented for the analysis of the 'Spaghetti Problem' by authors, is extended to realize the low order and high accuracy beam model using a kind of Component Mode Synthesis Method. The deformation of the flexible beam is modeled by the combination of static mode represented by the shape function and the analytically evaluated both end clamed dynamic mode with respect to the local coordinate system. Body attached local coordinate system satisfies that x-axis of it connects both-ends of the beam. To demonstrate the efficiency and the validity of the flexible beam model in Multibody Dynamics, a 2-link flexible robot arm is modeled as the flexible multibody system consists of some rigid bodies and two flexible beams. The validity can be indicated by good agreements between the numerical simulation and the experimental results.