Page 62 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 62

Chap. 2   Problems                                              49


                             2-56  Determine  the  differential  equation  of motion  for  free vibration  of the  system  shown
                                 in  Fig.  P2-56,  using virtual work.



                                                        A'" = Po 7




















                                                                     Figure P2-56.
                             2-57  The system shown in  Fig.  P2-57 has two rigid uniform beams of length  / and mass per
                                 unit length  m, hinged at the middle and resting on rollers at the test stand. The hinge
                                 is restrained from rotation by a torsional spring  K and supports a mass  M  held up by
                                             :
                                 another spring  A  to a position where the bars are horizontal.  Determine the equation
                                 of motion  using virtual work.






                                                                     Figure P2-57.
                             2-58  Two uniform stiff bars are hinged at the middle and constrained by a spring, as shown
                                 in  Fig.  P2-58.  Using virtual work,  set up  the  equation  of motion  for its free vibration.











                                                                     Figure P2-58.
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