This article is cited in 3 papers

Analysis of the Dynamics of Mechanical Systems of Large Dimension with Computer Algebra Systems

A. V. Banshchikov

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences

Abstract: Using some developed software package, we analyze the dynamics of a system of 18 linked solids with 32 degrees of freedom in a Newtonian central force field. Using a personal computer for performing symbolic or symbolic-numerical computations, we model the conservative mechanical system (by construction of nonlinear and linearized differential equations of motion) and study both the stability and gyroscopic stabilization of the unperturbed motion.

Keywords: dynamics of systems of solids, computer algebra, software package, stability of motion, degree of instability, gyroscopic stabilization, solution to systems of inequalities.

UDC: 519.688+531.36

Received: 07.11.2008
Revised: 27.02.2009

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