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.
Skip Nav Destination
Article navigation
September 2017
Research-Article
A Simple Shear and Torsion-Free Beam Model for Multibody Dynamics
Juan Carlos García Orden,
Juan Carlos García Orden
ETSI Caminos,
Technical University of Madrid,
c/Profesor Aranguren s/n,
Madrid 28040, Spain
e-mail: juancarlos.garcia@upm.es
Technical University of Madrid,
c/Profesor Aranguren s/n,
Madrid 28040, Spain
e-mail: juancarlos.garcia@upm.es
Search for other works by this author on:
Javier Cuenca Queipo
Javier Cuenca Queipo
Special Projects Department,
INECO,
Paseo de la Habana, 138,
Madrid 28036, Spain
e-mail: javier.queipo@ineco.com
INECO,
Paseo de la Habana, 138,
Madrid 28036, Spain
e-mail: javier.queipo@ineco.com
Search for other works by this author on:
Juan Carlos García Orden
ETSI Caminos,
Technical University of Madrid,
c/Profesor Aranguren s/n,
Madrid 28040, Spain
e-mail: juancarlos.garcia@upm.es
Technical University of Madrid,
c/Profesor Aranguren s/n,
Madrid 28040, Spain
e-mail: juancarlos.garcia@upm.es
Javier Cuenca Queipo
Special Projects Department,
INECO,
Paseo de la Habana, 138,
Madrid 28036, Spain
e-mail: javier.queipo@ineco.com
INECO,
Paseo de la Habana, 138,
Madrid 28036, Spain
e-mail: javier.queipo@ineco.com
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received September 14, 2015; final manuscript received February 4, 2017; published online April 17, 2017. Assoc. Editor: Firdaus Udwadia.
J. Comput. Nonlinear Dynam. Sep 2017, 12(5): 051006 (8 pages)
Published Online: April 17, 2017
Article history
Received:
September 14, 2015
Revised:
February 4, 2017
Citation
Carlos García Orden, J., and Cuenca Queipo, J. (April 17, 2017). "A Simple Shear and Torsion-Free Beam Model for Multibody Dynamics." ASME. J. Comput. Nonlinear Dynam. September 2017; 12(5): 051006. https://doi.org/10.1115/1.4036116
Download citation file:
Get Email Alerts
Cited By
Numerical Simulation Method for the Rain-Wind Induced Vibration of the Three-Dimensional Flexible Stay Cable
J. Comput. Nonlinear Dynam
A Numerical Study for Nonlinear Time-Space Fractional Reaction-Diffusion Model of Fourth-Order
J. Comput. Nonlinear Dynam (March 2025)
An Investigation of Dynamic Behavior of Electric Vehicle Gear Trains
J. Comput. Nonlinear Dynam (March 2025)
Nonlinear Dynamic Analysis Framework for Slender Structures Using the Modal Rotation Method
J. Comput. Nonlinear Dynam (March 2025)
Related Articles
Assessment of Linearization Approaches for Multibody Dynamics Formulations
J. Comput. Nonlinear Dynam (July,2017)
Combined Torsional-Bending-Axial Dynamics of a Twisted Rotating Cantilever Timoshenko Beam With Contact-Impact Loads at the Free End
J. Appl. Mech (May,2007)
Model-Order Reduction of Flexible Multibody Dynamics Via Free-Interface Component Mode Synthesis Method
J. Comput. Nonlinear Dynam (October,2020)
Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Implementation and Applications
J. Mech. Des (December,2001)
Related Proceedings Papers
Related Chapters
Flexibility Analysis
Process Piping: The Complete Guide to ASME B31.3, Third Edition
A Utility Perspective of Wind Energy
Wind Turbine Technology: Fundamental Concepts in Wind Turbine Engineering, Second Edition
A New Structure of High Precision Extensometer
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)