Free damped vibration of a system of 2 dof, demostration

Click For Summary
SUMMARY

The discussion focuses on solving differential equations for a two-degree-of-freedom (2DOF) mechanical vibration system, specifically addressing free damped vibrations. Participants recommend utilizing eigenvalues and eigenvectors for analysis and suggest consulting "Waves" by Crawford, as well as a specific document on damped vibrations from IIT Guwahati. The importance of understanding damping in mechanical vibrations is emphasized, indicating that it is a critical aspect of the analysis.

PREREQUISITES
  • Understanding of differential equations
  • Familiarity with eigenvalues and eigenvectors
  • Basic knowledge of mechanical vibrations
  • Concept of damping in dynamic systems
NEXT STEPS
  • Study the application of eigenvalues and eigenvectors in mechanical systems
  • Review the document on damped vibrations from IIT Guwahati
  • Explore advanced topics in mechanical vibrations, focusing on damping effects
  • Read "Waves" by Crawford for a deeper understanding of wave mechanics
USEFUL FOR

Mechanical engineers, students studying dynamics, and researchers focusing on vibration analysis will benefit from this discussion.

Jhair
Messages
4
Reaction score
0
Hi,I need help please, i want to know how to solve de differential equation of a system of two degree of freedom using eigenvalues or eigenvectors or if I can use any another way to solve this kind of equations.
 
Last edited:
Physics news on Phys.org
Have you tried to google the topic? Or even look it up in a book?
The volume on waves from the famous Berkley course (volume 3 of 5) has an excellent discussion of these topics.
Look up Waves by Crawford, for the reference.
 
nasu said:
Have you tried to google the topic? Or even look it up in a book?
The volume on waves from the famous Berkley course (volume 3 of 5) has an excellent discussion of these topics.
Look up Waves by Crawford, for the reference.

mmm thanks for the info, I'm going to check, but I meant to mechanical vibrations theme: Free damped two degrees of freedom vibration
 
The damping is what bothers you, then?
How about this document? In the second part it discuss the damped case.
http://www.iitg.ernet.in/scifac/qip/public_html/cd_cell/chapters/r_tiwari_dyn_of_mach/Chapter_12_Vibration%20of%20two-degree-of-freedom%20system.pdf
 

Similar threads

Equations of motion of a 2-DoF Free damped vibration system
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Which is Better for Measuring Vibrational Systems: Free or Forced Vibration?
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Decoupling of a spring mass system
  • · Replies 5 ·
Replies
5
Views
1K
Graduate Modeling the damping of a physical rigid pendulum
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Pair of interacting systems, driven coupled harmonic oscillators
  • · Replies 7 ·
Replies
7
Views
2K
Mechanisms for multiaxis vibration
  • · Replies 0 ·
Replies
0
Views
1K
Undergrad DIY Vibration Measurement Device for Engineers using Flex Sensors
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Free damped vibration of a system of 2 dof, demostration
  • · Replies 2 ·
Replies
2
Views
2K
Graduate What is the most general solution for a 2-DOF system?
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Tensor/Vector decomposition/representation & DOF arguement
  • · Replies 2 ·
Replies
2
Views
3K