Parametric Resonance

Featured Video Play Icon

At first glance, Steve Mould’s video on parametric resonance has nothing whatsoever to do with fluid dynamics. He uses a pendulum suspended on a spring to demonstrate how driving a system at a frequency that’s a multiple of the system’s natural frequency can add energy through resonance. Although his examples don’t use fluids, this phenomenon happens there, too, especially in vibrated fluid systems. Take, for example, this droplet bouncing on a vibrating pool. Depending on the amplitude of the vibrations driving the system, the droplet may bounce in time with the vibration, in time with the waves, or at a frequency twice that of the vibration. (Image and video credit: S. Mould)

Animation depicted parametric resonance of a mass on a spring pendulum.
By pulling on the string each time the mass swings through its lowest point (i.e., twice per swing cycle), Steve adds energy to the system, which is reflected in the increasing amplitude of the pendulum’s swing. This is an example of parametric resonance.

Comments

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.