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Torsional vibration of rods

  1. Apr 29, 2012 #1

    KMD

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    1. The problem statement, all variables and given/known data
    Determine the equation for the natural frequencies of a uniform rod in torsional oscillation with one end fixed and the other end free


    2. Relevant equations
    Theta = [A*sin(omega*(rho/G)^(1/2)*x)+B*cos((omega*(rho/G)^(1/2)*x)]*[C*sin(omega*t)+D*cos(omega*t)]


    3. The attempt at a solution
    This is an example problem in the book Theory of vibrations with applications. I don't understand why they stard with the equation
    [A*sin(omega*(rho/G)^(1/2)*x)+B*cos((omega*(rho/G)^(1/2)*x)]*sin(omega*t)
    instead of the equation containing the constants C and D.
     
  2. jcsd
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