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Application of graph theory to the mathematical modelling of a class of rigid body systems

โœ Scribed by K. Arczewski

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
739 KB
Volume
327
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

The process of determining equations of motion of a system consisting of rigid bodies and springs is often extremely laborious. In this paper, a method is presented whereby all terms of a system of equations for planar ri.qid body systems are calculated systematically.

It is assumed that the system of rigid bodies has a topological tree structure. The method is based on a graph-theoretical approach and is consistent with that for the calculation of kinetic and potential energies presented by Arczewski (J.

๐Ÿ“œ SIMILAR VOLUMES

Application of graph theory to the deter
Application of graph theory to the determination of kinetic energy of rigid body systems
โœ K. Arczewski ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 881 KB

The process of determining the kinetic energy as a function of generalized coordinates and velocities of rigid body systems is often extremely laborious. In this paper a method is presented by means of which all the kinetic energy terms ef a system possessing a tree structure are calculated in a sys

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Application of graph theory to the determination of potential energy of systems consisting of rigid bodies and springs
โœ K. Arczewski ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1004 KB

The process of determining the potential energy, as a function of generalized coordinates, of a system consisting of rigid bodies and springs is often extremely laborious. In this paper, a method is presented by means of which all the potential energy terms of a system are calculated in a systematic