Graduate Free damped vibration of a system of 2 dof, demostration

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SUMMARY

The discussion focuses on solving the differential equations of a two-degree-of-freedom (2DOF) system, specifically using eigenvalues and eigenvectors. Participants clarify whether the system in question involves coupled oscillators or a mass-spring system in two dimensions. The conversation emphasizes the importance of understanding the specific type of 2DOF system to apply the correct mathematical techniques effectively.

PREREQUISITES
  • Understanding of differential equations
  • Knowledge of eigenvalues and eigenvectors
  • Familiarity with coupled oscillators
  • Basic principles of mechanical vibrations
NEXT STEPS
  • Study the application of eigenvalues in mechanical systems
  • Learn about the dynamics of coupled oscillators
  • Explore numerical methods for solving differential equations
  • Investigate the use of MATLAB for simulating 2DOF systems
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Students and professionals in mechanical engineering, physicists, and anyone involved in the analysis of dynamic systems and vibrations.

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 Heigenvalues or Heigenvectors or if I can use any another way to solve this kind of equations.
 
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I may need a bit more information to help you with your problem. First, by two degrees of freedom are you referring to a system of two coupled oscillators? Or are you referring to a simple mass on a spring problem in two dimensions?
 
mmm good question ... to this
E44.png
 

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