Free damped vibration of a system of 2 dof, demostration

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Discussion Overview

The discussion centers around solving the differential equations of a two-degree-of-freedom system, specifically in the context of free damped vibrations. Participants explore methods such as eigenvalues and eigenvectors, as well as other potential approaches to address the problem.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks assistance in solving the differential equation for a two-degree-of-freedom system using eigenvalues or eigenvectors.
  • Another participant suggests looking up resources, specifically mentioning a volume from the Berkley course that discusses relevant topics.
  • A later reply clarifies that the original poster is specifically interested in the theme of mechanical vibrations, particularly free damped vibrations.
  • One participant questions whether the damping aspect is the primary concern and provides a link to a document that discusses the damped case in detail.

Areas of Agreement / Disagreement

The discussion does not reach a consensus, as participants provide different resources and perspectives on how to approach the problem without agreeing on a specific method or solution.

Contextual Notes

Participants have not explicitly stated assumptions or limitations regarding the methods discussed, and there may be dependencies on definitions related to damping and degrees of freedom that remain unresolved.

Jhair
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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:
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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
 

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