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

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.