Related Experiment Video
Updated: Sep 16, 2025

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
Published on: February 13, 2018
Escape from a potential well under aperiodic forcing and damping with application to ship capsize
Alex McSweeney-Davis1, R S MacKay1, Shibabrat Naik1
1Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom.
Abstract:
Escape from a potential well occurs in a wide variety of physical systems from chemical reactions to ship capsize. In these situations, escape often occurs by passage "over" a normally hyperbolic submanifold (NHS). This paper describes the computational implementation of an algorithm to identify the NHS of a two degrees of freedom model for ship motion under the influence of damping and aperiodic forcing. Additionally, we demonstrate how the stable manifolds of these submanifolds can be used to classify initial ship states as safe or unsafe.
Related Concept Videos
Types of Damping
Damped Oscillations
Although friction and other non-conservative...
Forced Oscillations
Buoyancy and Stability for Submerged and Floating Bodies
Second Order systems II
Magnetic Damping
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...

