The use of graph theory to formulate the linear dynamic characteristics of rigid body systems
UNSPECIFIED. (1997) The use of graph theory to formulate the linear dynamic characteristics of rigid body systems. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 453 (1961). pp. 1299-1310. ISSN 1364-5021Full text not available from this repository.
In this paper, graph theory is used to provide a formulation of the linear dynamic characteristics of rigid body systems. The new formulation has an advantage over the well known Newton-Euler and Lagrange-Hamilton methods in that the differential equations of motion can be expressed in a topological matrix form which allows the topological, dimensional and physical parameters of the system to be investigated independently. Some examples are given to illustrate the effectiveness of this new method.
|Item Type:||Journal Article|
|Journal or Publication Title:||PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES|
|Publisher:||ROYAL SOC LONDON|
|Official Date:||8 June 1997|
|Number of Pages:||12|
|Page Range:||pp. 1299-1310|
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