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P. 80

1.  Stresses that occur in the system at impact, exceeding the
                 limit  of  proportionality  is  not  material,  that  you  can
                 always use Hooke's law.
              2.  Beat is considered to be perfectly inelastic (no bouncing).
                 That  falling  mass  after  the  impact  as  sticks  to the  body
                 that suffers blow, then they continue to move along.
              3.  The  local  deformation  arising  in  contact  bodies  is  not
                 considered.
              4.  We  consider  cases  where  the  weight  of  an  elastic  body
                 that suffers blow-up compared to the weight that has an
                 impact.  Therefore,  we  consider  massless  elastic  system.
                 At  the  same  time  neglect  the  phenomenon  of  wave
                 propagation strain.
              5.  We  believe  that  the  kinetic  energy  of  a  falling  body  is
                 completely  transformed  into  potential  energy  of  elastic
                 deformation of the body that accepts a challenge.
              6.  Law distribution of stresses and strains on the volume of
                 the body that suffers  stroke, remains the same as  in the
                 static action forces.
                 Based  on  these  assumptions  determine  the  displacement
          and stress arising in the bars at impact.
                 Note  that,  in  the  technical  theory  of  shock  we  can  if
          necessary to take into account the influence of the  mass elastic
          system. This increases the accuracy of the calculations.

          7.2.2 Longitudinal impact

                 Let the rod length  l  with a height  h  of free fall load (fig.
          7.3 a). The absolute elongation of the rod, which is caused by the
          dynamic longitudinal force  N  is denoted  l . Since the velocity
                                       д              д
          of the incident shock load at the end is zero, the change in kinetic
          energy equal to the work force  P , i.e.
                              A P  h   l д   ,                  (7.9)
          and potential energy of elastic deformation of the rod
                                    1
                                          l
                               U     N  .                         (7.10)
                                          д
                                       д
                                    2



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