Forced vibrations of damped single degree freedom systems?

Click For Summary
SUMMARY

The discussion focuses on the dynamics of a spring-mass-damper system subjected to a periodic force, specifically addressing the interaction between forced vibrations and damping effects. It clarifies that in forced vibrations, the system oscillates at the frequency of the applied periodic force, while the effects of damping lead to a gradual reduction in amplitude. The confusion arises from the coexistence of oscillations at both the damping frequency and the frequency of the periodic force, with the damping effects eventually diminishing the oscillations over time. The participants emphasize the importance of understanding these dual frequencies in analyzing the system's response.

PREREQUISITES
  • Understanding of spring-mass-damper systems
  • Knowledge of forced vibrations and damping mechanisms
  • Familiarity with oscillation frequency concepts
  • Basic principles of mechanical vibrations
NEXT STEPS
  • Study the mathematical modeling of forced vibrations in mechanical systems
  • Explore the concept of damping ratios and their impact on system behavior
  • Learn about the frequency response of damped systems
  • Investigate the application of Fourier analysis in understanding vibration frequencies
USEFUL FOR

Mechanical engineers, physics students, and professionals involved in vibration analysis and control systems will benefit from this discussion.

firecool
Messages
11
Reaction score
0
in a spring mass damper system subjected to a periodic force. the response of the system only depends on the force and the restoring forces caused due to the spring is ignored because the damper is assumed to have taken care of it. now it's here that my confusion originates. in a damped free vibration (under damping) when a initial displacement is given to the mass, the mass vibrates at a damping frequency and the amplitude eventually vanishes. the mass completes a few oscillations before the vibration completely dies out.
but in a forced vibration with damping, when the force is applied the vibrations take place at the frequency of the periodic force, so what happens to the oscillations caused due to the damper(in under damping). in my book says those vibrations due to damping die out quickly, but they atleast need to oscillate atleast 2-3 times before dying out, and how can they do that while the periodic force is still being applied. how can the mass vibrate at two frequencies( damping and periodic force's) at the same time?
 
Engineering news on Phys.org
I'm sorry I don't really understand your question but have a read of this wikipedia page (in case you haven't done so already):

http://en.wikipedia.org/wiki/Damping

Hope it helps!
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
Replies
4
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
2
Views
3K