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Modal analysis for a CANTILEVER BEAM

  1. Apr 8, 2008 #1

    ACT

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    Hi there,

    I am a beginner and I need to do analytical derivation of a beam and model it in matlab.

    the beam is cantilever and it is excited at its cantilever end

    any hints to start?

    Cheers
     
  2. jcsd
  3. Apr 9, 2008 #2

    Mech_Engineer

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    Have you learned how to derive the equations of state for a beam through multiple integrations of its loading or shear force diagrams?
     
  4. Apr 9, 2008 #3

    ACT

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    nto really! would u recommend a book please? thanks
     
  5. Apr 9, 2008 #4

    ACT

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    [Vibration analysis] Timoskenko beam Vs.Euler-bernoulli beam ?

    Hello,

    I am looking for explanations and detailed studies or even brief ones about the differences in Vibration analysis and dynamic studies as well as static analysis between

    Timoskenko beam and .Euler-bernoulli beam

    when should i use Euler-bernoulli beam?

    Thanks
     
  6. Apr 9, 2008 #5

    Mech_Engineer

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    You shouldn't make a new thread each time you have a single new question, just ask in the related thread instead...

    Anyway, they are two approximations that take into account a different depth of effects in the beam...

    http://en.wikipedia.org/wiki/Timoshenko_beam_theory

    http://en.wikipedia.org/wiki/Euler-Bernoulli_beam_equation

    Timoshenko theory takes into account shear deformation, rotational inertia, and other effects while Euler-Bernoulli is a simple but effective theory that is easier to understand an solve for, but may be less accurate depending on the complex loading, geometry, or deflection of the beam.

    In any case, it is necessary that a certain degree of "engineering discretion" is used to decide which theory is best for your application and how improtant and accurate a result will be.
     
  7. Apr 17, 2008 #6

    ACT

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    am not quite sue what you mean here ?! :confused:
     
  8. Apr 17, 2008 #7

    Mech_Engineer

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  9. Jun 21, 2011 #8

    Mech_Engineer

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    It sounds to me like this is a homework question, have you done any looking in your text book on how to calculate the vibrational modes of a beam?
     
  10. Jun 16, 2012 #9
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