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Dynamics of Multi-Degree Freedom Systems

Learn about the equations of motion and natural frequencies of multi-degree freedom systems using Newton's and Lagrange methods. Explore examples and calculations with Assoc. Prof. Dr. Abdullah Seçgin.

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Dynamics of Multi-Degree Freedom Systems

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  1. WEEK-8: Multi-degree of freedom systems Assoc. Prof. Dr. Abdullah Seçgin

  2. EOM of multi-degrees of freedom system 1-Newton’s Method

  3. Two general coordinates Example

  4. Solution:

  5. 2-Lagrange Method

  6. Example Use Lagrange Method to find EOM For x1:

  7. For x2: For x3:

  8. Equation of motion:

  9. Natural Frequencies and Mode Shapes Consider a two-degree of freedom system

  10. Natural Frequencies Mode Shapes

  11. Example

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