The vector-network method for the modelling of mechanical systems

M.J. Richard, R.J. Anderson and G.C. Andrews

Mathematics and Computers in Simulation (MATCOM), 1990, vol. 31, issue 6, 565-581

Abstract: This paper presents an extension of the vector-network approach to the problem of motion prediction. The entire procedure is a basic application of concepts of graph theory in which laws of vector dynamics have been combined. A comprehensive mathematical model for the systematic formulation of the equations of motion of dynamic three-dimensional constrained multi-body systems is derived. The method embodies simultaneously the three-dimensional inertial equations associated with each rigid body and the kinematic constraints into a symmetrical format yielding the differential equations governing the response of the system. The modelling technique is thoroughly described in this work and its validity is impartially established.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:31:y:1990:i:6:p:565-581

DOI: 10.1016/0378-4754(90)90061-M

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