Page 280 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 280

Chap. 8   Problems                                             267



                                                  /T?2      :-AAAAr-|
                                                                  I
                                                  m,        1-AAAA^I
                                                                  I

                                                   155^555555555555555^^555^5555^   Figure P8.26.


                              8-27  The  equation of motion  for the  system  shown  in  Fig.  P8-27 is given as
                             m i           (x  \  ( ^ 1  + k2 + k^)  -k2  -^ 5     0
                                m 2                  - k i   (*2  + * 3)  0        - k t
                                           <  )  -f-
                                    m 3     X7,      ~ks        0    (A 3 + A 4 + A 5)  -A4
                                       m4             0        -k(,      -A4     (A 4 + kf,)
                                 Determine  its  eigenvalues  and  eigenvectors  using  Choljac when  m,  = m  and  A,  = k.
                                                                                           :
                                 Plot the mode shapes  and discuss the  action of springs   and  A:^.









                                                                     Figure P8.27.
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