Equation of motion for MDOF system

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SUMMARY

The discussion focuses on deriving the equation of motion for a multi-degree-of-freedom (MDOF) system. Participants emphasize the importance of defining coordinates for each degree of freedom and creating free body diagrams for each mass involved. The application of Newton's second law is crucial for formulating the equations of motion. The step-by-step approach outlined is essential for accurately modeling the dynamics of MDOF systems.

PREREQUISITES
  • Understanding of multi-degree-of-freedom (MDOF) systems
  • Familiarity with Newton's second law of motion
  • Ability to create free body diagrams
  • Basic knowledge of coordinate systems in mechanics
NEXT STEPS
  • Study the derivation of equations of motion for MDOF systems using Lagrangian mechanics
  • Learn about modal analysis techniques for MDOF systems
  • Explore numerical methods for solving MDOF equations of motion
  • Investigate software tools like MATLAB for simulating MDOF systems
USEFUL FOR

Students in mechanical engineering, structural engineers, and anyone involved in dynamic analysis of mechanical systems will benefit from this discussion.

Ikidnapu
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Homework Statement


Anyone know how to write a equation of motion for a mdof system like this:

http://img100.imageshack.us/img100/1678/mdofsystem.jpg

If u could explain step by step how to do it, would be great.

Thnaks
 
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Start by defining a coordinate for each degree of freedom. Then draw the free body diagram for each of the masses. Then, write Newton's second law for each of those masses. That should get you started.
 
thanks managed to create something, hope it's right.
 

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