Page 313 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 313

300                             Vibration of Continuous Systems   Chap. 9










                                                          0  n h m iT fn —  Figure  P9-39.


                              9-40  If the base of an  N-story building is allowed  to rotate  against a  resisting spring   as
                                  shown  in  Fig.  P9-40,  determine  the  boundary  equations  and  the  natural  frequeneies.













                                                                     Figure  P9-40.


                              9-41  The  natural  frequeneies  and  normal  modes  presented  for  the  lO-DOF  system  of
                                  Example  6.10-1  were  obtained  from  the  eigenvalue-eigenveetor  eomputer  program.
                                  Verify  these  numbers  by  the  use  of  Eq.  9.7-9  for   and   = B sin /3n  for  the
                                  amplitude.
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