Page 142 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 142

Chap. 4   Problems                                             129

                              4-44  Using RUNGA,  solve  the  equation

                                                       i   +  1.26i  +  9.87x  =f(t)
                                  for the force pulses shown  in  Fig.  P4-44.















                                                             Figure P4-44.

                              4-45  A large box of weight W resting on a barge is to be hoisted by a crane, as shown in Fig.
                                  P4-45.  Assuming  the  stiffness of the  crane  boom  to  be   determine  the  equation  of
                                  motion  if  the  extended  point  of  the  boom  is  given  a  displacement  x  =  Vt.  Use  the
                                  method of Laplace  transformation.














                                                                     Figure P4-45.


                              4-46  In  Example  4.8-1  add  damping  of  c  =  0.2c^  and  solve  using  computer  program
                                  RUNGA.  Compare  response with  Example 4.8-1.
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