Page 428 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 428

Chap. 12   Problems                                            415



                                                                     Figure P12-33.

                              12-34  The  beam  of  Fig.  PI2-34  has  been  previously  solved  by  the  method  of  matrix
                                  iteration.  Check  that  the  boundary  condition  of  zero  deflection  at  the  left  end  is
                                  satisfied  for  these  natural  frequencies  when  Myklestad’s  method  is  used.  That  is,
                                  check the deflection for change in sign when frequencies above and below the natural
                                  frequency are  used.







                                                                     Figure P12-34.

                              12-35  Determine  the flexure-torsion vibration  for the  system  shown  in  Fig.  P12-35.






                                                                     Figure P12-35.

                              12-36  Shown in  Fig. PI2-36 is a linear system with damping between masses  1  and 2.  Carry
                                  out  a  computer  analysis  for  numerical  values  assigned  by  the  instructor,  and  deter­
                                  mine the  amplitude  and  phase of each mass at  a specified frequency.

















                                                              /7?2




                                                                     Figure P12-36.
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