1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

2DOF problem with one mass

  1. May 4, 2012 #1
    1. The problem statement, all variables and given/known data
    I need some help with the following problem:

    System shown has m=5, k1=100, k2=150, and c=2

    Find the natural frequencies, damping ratios, and mode shapes.

    The figure of the system has been attached.

    2. Known Equations
    I know how to find natural frequencies, damping ratios, and mode shapes, my only issue is actually setting up the M, K and C matrices as I have only seen multiple degree of freedom problems with more than one mass, and with all of the springs at 90 degree angles. I am not sure how I am supposed to work this one out.


    3. Work attempted
    I have attempted at setting up this problem twice but I know I am doing it wrong because when I calculate my M^-.5*K*M^-.5 Matrix it does not exist, or it gives me non real numbers as eigenvalues (eg. x=42.6 + or - 17.2603i). Any help setting up the problem would be appreciated.
     

    Attached Files:

  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: 2DOF problem with one mass
Loading...