Graph-Theoretic Approach for the Dynamic Simulation of Flexible Multibody Systems
Joint Authors
Source
Advances in Mechanical Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper provides a general description of a variational graph-theoretic formulation for simulation of flexible multibody systems (FMSs) which includes a brief review of linear graph principles required to formulate this algorithm.
The system is represented by a linear graph, in which nodes represent reference frames on flexible bodies, and edges represent components that connect these frames.
The method is based on a simplistic topological approach which casts the dynamic equations of motion into a symmetrical format.
To generate the equations of motion with elastic deformations, the flexible bodies are discretized using two types of finite elements.
The first is a 2 node 3D beam element based on Mindlin kinematics with quadratic rotation.
This element is used to discretize unidirectional bodies such as links of flexible systems.
The second consists of a triangular thin shell element based on the discrete Kirchhoff criterion and can be used to discretize bidirectional bodies such as high-speed lightweight manipulators, large high precision deployable space structures, and micro/nano-electromechanical systems (MEMSs).
Two flexible systems are analyzed to illustrate the performance of this new variational graph-theoretic formulation and its ability to generate directly a set of motion equations for FMS without additional user input.
American Psychological Association (APA)
Richard, M. J.& Bouazara, M.. 2012. Graph-Theoretic Approach for the Dynamic Simulation of Flexible Multibody Systems. Advances in Mechanical Engineering،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-479048
Modern Language Association (MLA)
Richard, M. J.& Bouazara, M.. Graph-Theoretic Approach for the Dynamic Simulation of Flexible Multibody Systems. Advances in Mechanical Engineering No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-479048
American Medical Association (AMA)
Richard, M. J.& Bouazara, M.. Graph-Theoretic Approach for the Dynamic Simulation of Flexible Multibody Systems. Advances in Mechanical Engineering. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-479048
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479048