Page 31 - Shock and Vibration Overview
P. 31

Analysis Overview








































                   Figure 15: The transmissibility illustrates how a SDOF system will respond to a base excitation.
                   This plot was taken from Tom Irvine’s vibrationdata publications that have some supporting
                   information.



                   Most  systems  in  the  real  world  can’t  be  represented  by  a  SDOF  system;  but  every
                   structure, no matter how complex, can be factored down to individual single-degree-of-
                   freedom (SDOF) systems. And most real world excitations are not perfect sine waves but
                   rather a collection of sine waves. Nevertheless, vibration analysis is used to predict how
                   a system will react to a given input and provides the tools for an engineer to ensure
                   survivability  of  his/her  system.  But  all  this  is  only  made  possible  when  the  vibration
                   environment is understood and known, which is why we do vibration testing!


                   Simple Analysis in the Time Domain

                   When  analyzing  vibration  data  in  the  time  domain  (amplitude  plotted  against  time)
                   we’re  limited  to  a  few  parameters  in  quantifying  the  strength  of  a  vibration  profile:
                   amplitude, peak-to-peak value, and RMS. A simple sine wave is shown in Figure 16 with
                   these parameters identified.









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