Find the natural frequencies mode shapes of this system usin

Find the natural frequencies mode shapes of this system (using your calculator or Matlab) [20 0 0 6] x + [8, 500 -6000 -6000 7000] x = 0

Solution

eigenvales lambda 1 = 134.36, lambda 2= 1457.34

solving the nmatrix eqns AU =Lambda U

U1/U2 fromnfirst eigenvalue is .7172

U1/U2 from second eigenvalue is 0.852

hence could be written (1, 0.7172), (1, 0.852)

can be normalised is reqd.