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Use of diagonal matrices in vibration analysis?

  1. Jan 31, 2016 #1
    why are diagonal matrices and eigen vectors useful in vibrations analysis?
     
  2. jcsd
  3. Jan 31, 2016 #2

    DrClaude

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    Staff: Mentor

    Because the eigenvalues and eigenvectors correspond to normal modes.
     
  4. Jan 31, 2016 #3

    fresh_42

    Staff: Mentor

    Because resonance is an eigenstate.
     
  5. Feb 1, 2016 #4

    DrClaude

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    Staff: Mentor

  6. Feb 1, 2016 #5

    fresh_42

    Staff: Mentor

    Thank you! And 'classroom' was exactly where I got it from ...

    EDIT: “My experience is that excitement and interest in physics and engineering is generated not only by what is understood but also by what is not.” - Bernard Feldman, a physics professor at the University of Missouri, wrote in 2006.
    A wise man!
     
    Last edited: Feb 1, 2016
  7. Feb 1, 2016 #6
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