Page 10 - Vibrations 5
P. 10

4=z2=z2=6=















                      5       0     −1       4       −2                 1      0         1
                  [(              )      (                 ) −  (              )] (       ) = 
                      0      10            −2          6                0      1         2


        Perform the matrix multiplication,


        Cq(MATRIX)3uOq(MATRIX)4=















        The equation becomes,


                                    0.8 −             −0.4             1
                                  (                                ) (       ) = 
                                      −0.2            0.6 −            2


        Now calculate the determinant,


                                             0.8 −             −0.4
                                            |                               |
                                               −0.2            0.6 − 


                                 (0.8 − )(0.6 − ) − 0.4 × 0.2


                                           2
                                          − 1.4 + 0.48 = 0





                                                            9
   5   6   7   8   9   10   11   12   13   14   15