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96   Improving Machinery Reliability























                      Figure 3-10. Rotor response calculations for coupling unbalance and maximum clearance.




                     pressor vibrations were predicted at the two 45" probe locations. The vibrations in the
                     horizontal and vertical directions or any other direction can also be predicted. Critical
                     speed responses were predicted at 4,800 cpm (well damped) and another critical at
                      12,000 cpm (1 1% above rated speed of  10,800 rpm) for the minimum clearance.
                       The predicted amplitudes were less than the API limit for the minimum and nomi-
                     nal  clearances.  However, when  the maximum bearing clearance was  used, the
                     responses became more pronounced and the predicted amplitudes exceeded the API
                     limits of  1.03 mils. The increased clearance lowered the predicted peak response to
                     9,700 rpm, which is below the rated speed of 10,800 rpm.
                       Figures 3-1 1 and 3-12 show the predicted unbalance response for midspan unbal-
                      ance for minimum  and  maximum clearances.  For minimum  clearance,  response is
                     noted at the first critical speed near 4,800 rpm with very little response at the second
                      critical  speed near  12,000 rpm.  However,  for the maximum  clearance, the second
                      critical speed at 9,700 rpm becomes the predominant response. This again shows the
                      sensitivity of a rotor to bearing clearance changes.
                      Sensitivity to Unbalance Location. A  design  audit response analysis  was per-
                      formed on a power turbine with an overhung disk that had a speed range of approxi-
                      mately 2,500-5,000  rpm. Figure 3-1 3 shows the results of the response calculations
                      for unbalance  at the coupling. Two peak  response critical  speeds were  excited  at
                      3,000 and 5,000 rpm. For this unit, very little difference in predicted responses was
                      noted as the bearing parameters  were changed. However, when  the unbalance was
                      moved to the disk (Figure 3- 14), there were considerable differences in the predicted
                      responses. Note that peak responses at 800, 2,500, and 5,000 rpm are predicted. The
                      two low frequency  critical  speeds  are considerably  different  from  the  3,000 rpm
                      mode excited by coupling unbalance.
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