Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Frequency & Eigenvalue from dynamic eqn

  1. Feb 26, 2015 #1
    Hi, i am trying to find the natural period of a vertical cantilever beam which is fixed at bottom and free at other end., i worked out the global M & K matrices and i have the eqn in the form [M]-w^2[K] = 0, the M & K are not diagonal matrices, but square symetric matrices of rank 6. i understand that w2 is the cyclic frequency, how do i solve this characteristic polynomial the matrix way.. thanks in advance,
     
  2. jcsd
  3. Feb 26, 2015 #2
    You need a numerical eigensolution, such as is available in many numerical analysis packages (NAG, EisPack, etc.). I think MatLab probably has one as well, and there are many other sources as well.
     
  4. Feb 26, 2015 #3
    thanks, i think i found the answer.. i need to make the matrix to diagonal form, and then the soln is simple.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Frequency & Eigenvalue from dynamic eqn
  1. Eigenvalue Question (Replies: 2)

  2. Fluid dynamic (Replies: 3)

  3. Eqn of continuity (Replies: 5)

Loading...