ABSTRACT

Annotation. Chapter 5 is concerned with the phenomenon of parametric reso-

nance arising from a periodic square-wave modulation of the moment of inertia

of a linear torsion spring oscillator. Computer simulations of oscillations show

the motion of the system and are accompanied by plotting the time dependencies

of the angle of deflection and the angular velocity. Phase trajectories and energy

transformations for different values of the depth of modulation are analyzed, and

conditions of parametric regeneration and of parametric resonance are discussed.

Ranges of frequencies where parametric excitation is possible are determined.

Stationary oscillations on the boundaries of these ranges are investigated both an-

alytically and by computer simulation.