Abstract
In this paper, parametric excitation of a lumped mass pendulum is investigated when having its pivot point vertically excited. Such a system is described by a sinus type nonlinear Mathieu equation and attention is drawn to the rotational motion of the mass. A single-degree-of-freedom (SDOF) system is used as a base for the pendulum, floating on ocean waves and being externally excited by them thus falling into the subclass of autoparametric systems. Due to the random nature of waves, a narrow-band stochastic process is used to model the environmental excitation. The effect of dry friction is considered and the interaction between the pendulum's rotational response and the base is studied.
| Original language | English |
|---|---|
| Pages (from-to) | 124-131 |
| Number of pages | 8 |
| Journal | Probabilistic Engineering Mechanics |
| Volume | 37 |
| Early online date | 1 Nov 2013 |
| DOIs | |
| Publication status | Published - Jul 2014 |
Keywords
- Autoparametric system
- Dry friction
- Mathieu equation
- Parametric pendulum
- Random excitation
- Rotational motion
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Civil and Structural Engineering
- Nuclear Energy and Engineering
- Aerospace Engineering
- Condensed Matter Physics
- Ocean Engineering
- Mechanical Engineering