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Mass and Stiffness Matrices for MDOF Torsional System

  1. Apr 30, 2012 #1
    1. The problem statement, all variables and given/known data
    I'm trying to figure out the mass and stiffness matrices for the following system:
    1ju3y0.jpg

    2. Relevant equations
    J1 = 3600 kg-m^2
    J2 = 200 kg-m^2
    J3 = 800 kg-m^2
    J4 = 4800 kg-m^2
    G (shear mod) = 8e10 Pa

    3. The attempt at a solution

    I've tried this setup:
    M =
    |J1 0 0|
    |0 J2+J3 0|
    |0 0 J4|

    K =
    |k1 -k1 0|
    |-k1 k1+k2 -k2|
    |0 -k2 k2|

    where ki = GπDi4/(32Li)

    but I don't think that is correct. Any ideas? Thanks.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations
     
  2. jcsd
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