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Nonlinear Dynamic Analysis of a Large Deformable Beam Using Absolute Nodal Coordinates  

Jong-Hwi (Graduate School of Mechanical Engineering, Ajou University)
Il-Ho (Graduate School of Mechanical Engineering, Ajou University)
Tae-Won (Division of Mechanical Engineering, Ajou University)
Publication Information
International Journal of Precision Engineering and Manufacturing / v.5, no.4, 2004 , pp. 50-60 More about this Journal
Abstract
A very flexible beam can be used to model various types of continuous mechanical parts such as cables and wires. In this paper, the dynamic properties of a very flexible beam, included in a multibody system, are analyzed using absolute nodal coordinates formulation, which is based on finite element procedures, and the general continuum mechanics theory to represent the elastic forces. In order to consider the dynamic interaction between a continuous large deformable beam and a rigid multibody system, a combined system equations of motion is derived by adopting absolute nodal coordinates and rigid body coordinates. Using the derived system equation, a computation method for the dynamic stress during flexible multibody simulation is presented based on Euler-Bernoulli beam theory, and its reliability is verified by a commercial program NASTRAN. This method is significant in that the structural and multibody dynamics models can be unified into one numerical system. In addition, to analyze a multibody system including a very flexible beam, formulations for the sliding joint between a very deformable beam and a rigid body are derived using a non-generalized coordinate, which has no inertia or forces associated with it. In particular, a very flexible catenary cable on which a multibody system moves along its length is presented as a numerical example.
Keywords
Large Deformable Beam; Multibody Dynamics; Absolute Nodal Coordinates; Dynamic Stress; Sliding Joint; Flexible Catenary Cable;
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