Treffer: Application of the absolute nodal co-ordinate formulation to multibody system dynamics

Title:
Application of the absolute nodal co-ordinate formulation to multibody system dynamics
Authors:
ESCALONA, J. L, HUSSIEN, H. A, SHABANA, A. A
Source:
Journal of sound and vibration. 214(5):833-851
Publisher Information:
London: Elsevier, 1998.
Publication Year:
1998
Physical Description:
print, 11 ref
Original Material:
INIST-CNRS
Subject Terms:
Civil engineering, Génie civil, Mechanical engineering, Génie mécanique, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des solides, Solid mechanics, Dynamique des solides (balistique, collision, système n corps, stabilisation...), Solid dynamics (ballistics, collision, multibody system, stabilization...), Mécanique des structures et des milieux continus, Structural and continuum mechanics, Vibration, onde mécanique, stabilité dynamique (aéroélasticité, contrôle vibration...), Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...), Vibrations and mechanical waves, Accélération Coriolis, Coriolis acceleration, Aceleración Coriolis, Changement coordonnée, Transformation of coordinates, Cambio coordenadas, Dynamique, Dynamics, Force centrifuge, Centrifugal force, Fuerza centrífuga, Grande déformation, High strain, Gran deformación, Mécanisme articulé, Linkage mechanism, Mecanismo articulado, Méthode numérique, Numerical methods, Méthode élément fini, Finite element method, Structure flexible, Flexible structures, Système bielle manivelle, Slider crank mechanism, Sistema biela manivela, Système dynamique, Dynamical system, Sistema dinámico, Système n corps, N body system, Sistema n cuerpos
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mechanical Engineering, University of Seville. Av Reina Mercedes s/n, 41012 Seville, Spain
Department of Mechanical Engineering, University of Illinois at Chicago, 842 West Taylor St., Chicago, IL 60607-7022, United States
ISSN:
0022-460X
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=2312107
Rights:
Copyright 1998 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Physics: solid mechanics
Accession Number:
edscal.2312107
Database:
PASCAL Archive

Weitere Informationen

The floating frame of reference formulation is currently the most widely used approach in flexible multibody simulations. The use of this approach, however, has been limited to small deformation problems. In this investigation, the computer implementation of the new absolute nodal co-ordinate formulation and its use in the small and large deformation analysis of flexible multibody systems that consist of interconnected bodies are discussed. While in the floating frame of reference formulation a mixed set of absolute reference and local elastic co-ordinates are used, in the absolute nodal co-ordinate formulation only absolute co-ordinates are used. In the absolute nodal co-ordinate formulation, new interpretation of the nodal co-ordinates of the finite elements is used. No infinitesimal or finite rotations are used as nodal co-ordinates for beams and plates, instead, global slopes are used to define the element nodal co-ordinates. Using this interpretation of the element co-ordinates, beams and plates can be considered as isoparametric elements, and as a result, exact modelling of the rigid body dynamics can be obtained using the element shape function and the absolute nodal co-ordinates. Unlike the floating frame of reference approach, no co-ordinate transformation is required in order to determine the element inertia. The mass matrix of the finite elements is a constant matrix, and therefore, the centrifugal and Coriolis forces are equal to zero when the absolute nodal co-ordinate formulation is used. Another advantage of using the absolute nodal co-ordinate formulation in the dynamic simulation of multibody systems is its simplicity in imposing some of the joint constraints and also its simplicity in formulating the generalized forces due to spring-damper elements. The results obtained in this investigation show an excellent agreement with the results obtained using the floating frame of reference formulation when large rotation small deformation problems are considered.