Stochastic Dynamics of a Parametrically base Excited Rotating Pendulum

This paper studies the rotational motion of a parametrically excited pendulum, dynamics of which is governed by a stochastic nonlinear Mathieu equation. The interest to this problem is based on the fact that this motion may be used to harness wave energy, capturing the heaving motion of waves. Thus a narrow band excitation is used, which is modeled as a harmonic process with random phase modulations. It has been established earlier that a relatively large values of noise intensity deteriorate stability of the rotational motion, leading to vibrations. To obtain robust rotational motion a single-degree-of-freedom filter is used.