Mathematica MathWorld Wolfram Science More »

HOME

TOPICS

LATEST

Forced Oscillations


	This Demonstration shows the forced oscillations of a spring mass damped system for the underdamped case. The differential equation is , where is the mass, is the displacement, is time, is the damping coefficient, is the stiffness, and is the frequency.


	Contributed by: Stephen Wilkerson and Mark Evans (Towson University)

With mass set to 1, adjust the stiffness and the frequency of the forcing function to the maximum to put the system in resonance. Play with dampening to see the effect on the magnitude of the oscillations.

Adjust the stiffness to the maximum and then change the forcing frequency to around 3.4 to observe a beating phenomenon.

Adjust the initial displacement to see the transient response.

Vibrations (ScienceWorld)

"Forced Oscillations" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ForcedOscillations/

Contributed by: Stephen Wilkerson and Mark Evans (Towson University)

Report an issue »

Interact with Demonstrations using the latest version of the free Mathematica Player—Download Now

Browse all topics

Browse all education topics

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

Wolfram Research

Site Index

RSS

Atom