This paper considers rotational motion governed by a nonlinear Mathieu equation with a narrow-band stochastic excitation. The Path Integration technique is utilized to obtain the joint probability density function of the response, which is used to construct domains of rotational motion in parameter space.
- Mathieu equation
- narrowband parametric excitation
- probability density function
- instability domain
- rotational motion
- Wave energy converter
Yurchenko, D., Naess, A., & Alevras, P. (2013). Pendulum's rotational motion governed by a stochastic Mathieu equation. Probabilistic Engineering Mechanics, 31, 12-18. https://doi.org/10.1016/j.probengmech.2012.10.004