Studies in Spatial Motion of a Gyro on an Elastic Foundation*†

摘要

To investigate the spatial motion of an axisymmetric gyro on an elastic foundation, a simplified model is proposed. The model is as simple as possible, yet designed to have all characteristics required to study its nonlinear behavior. Using Euler's law, the full nonlinear equations of motion are derived and then written in nondimensional form. Following analysis, numerical examples are investigated, and the evolution of nutation, precession, and spin angles is plotted.