Page 247 - Failure Analysis Case Studies II
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                                     Mode 1









                Mode
               \




                              - undeformed shape
                              ..........  deformed shape















                Fig.  9.  First  four mode shapes  of  the  impulse line  with  transverse coil configuration and  1/2  in. flange
                connection.



                                    Table 1. Natural frequencies for 1/2 and 1 in.
                                    flange  connections  with  transverse  coil
                                             configuration
                                    Mode      1 /2’       1’

                                     1        11.45      1 1.45
                                    2         12.26      12.26
                                    3         44.53      44.93
                                    4         44.82      73.72
                                    5         44.99     126.93
                                    6         74.58     129.92
                                    7         95.41     177.17
                                    8         127.16    178.04
                                    9         130.08    247.76
                                    10        247.75    308.50




            (1)  The over-hung mass on the flange connection and its cantilever effect should be minimised. This
               can be achieved by using smaller flanges with short connections.
            (2)  The tubing length should be kept to a minimum to avoid resonance at low frequencies.
            (3)  The instrument  end should be as far as possible decoupled from the pipe end. This can be
               achieved more effectively by  using axial-coil configuration with  larger coil diameter  and/or
               increased number of turns. A sensitivity analysis is needed to determine the exact dimensions.
            (4)  The installation procedures on site be reviewed to ensure that tubing connections are properly
               aligned, as per manufacturer’s recommendations.
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