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research-article

A Simple Shear and Torsion-free Beam Model for Multibody Dynamics

[+] Author and Article Information
Juan Carlos García Orden

ETSI Caminos, Technical University of Madrid c/ Profesor Aranguren s/n, 28040 Madrid, Spain
juancarlos.garcia@upm.es

Javier Cuenca Queipo

INECO, Special Projects Department Paseo de la Habana, 138, 28036 Madrid, Spain
javier.queipo@ineco.com

1Corresponding author.

ASME doi:10.1115/1.4036116 History: Received September 14, 2015; Revised February 04, 2017

Abstract

This paper describes a very simple beam model, amenable to be used in multibody applications, for cases where the effects of torsion and shear are negligible. This is the case of slender rods connecting different parts of many space mechanisms, models useful in polymer physics, computer animation, etc. The proposed new model follows a lumped parameter method that leads to a rotation-free formulation. Axial stiffness is represented by a standard nonlinear truss model, while bending is modeled with a force potential. Several numerical experiments are carried out in order to assess accuracy, which is usually the main drawback of this type of approach. Results reveal a remarkable accuracy in nonlinear dynamical problems, suggesting that the proposed model is a valid alternative to more sophisticated approaches.

Copyright (c) 2017 by ASME
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