Page 278 - Machinery Component Maintenance
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260   Machinery  Component Maintenance and Repair

                        Hard-Bearing Balancing Machines
                          Hard-bearing balancing machines are essentially of the same construc-
                        tion as soft-bearing balancing machines, except that their bearing sup-
                        ports are significantly stiffer in the transverse horizontal direction. This
                        results in a horizontal resonance for the machine which occurs at a fre-
                        quency several orders of  magnitude higher than  that for a comparable
                        soft-bearing balancing machine. The hard-bearing balancing machine is
                        designed  to  operate  at  speeds well  below  this  resonance  (see  Figure
                        6-16B) in an area where the phase angle lag is constant and practically
                        zero,  and where the amplitude of  vibration-though  small-is  directly
                        proportional to centrifugal forces produced by unbalance.
                          Since the force that a given amount of  unbalance exerts at  a given
                        speed is always the same, no matter whether the unbalance occurs in a
                        small or large, light or heavy rotor, the output from the sensing elements
                        attached to the balancing machine bearing supports remains proportional
                        to the centrifugal force resulting from unbalance in the rotor. The output
                        is not influenced by bearing mass, rotor mass, or inertia, so that a perma-
                        nent relation between unbalance and sensing element output can be estab-
                        lished.
                          Centrifugal force from a given unbalance rises with the square of the
                        balancing speed. Output from the pick-ups rises proportionately with the
                        third power of the speed due to a linear increase from the rotational fre-
                        quency superimposed on a squared increase from centrifugal force. Suit-
                        able integrator circuitry then reduces the pickup signal inversely propor-
                        tional to the cube of the balancing speed increase, resulting in a constant
                        unbalance readout.  Unlike soft bearing balancing machines, the use of
                        calibration masses is not required to calibrate the machine for a given
                        rotor.
                          Angle of lag is shown as a function of rotational speed in Figure 16A
                        for soft-bearing balancing machines whose balancing speed ranges start
                        at approximately twice the resonance speed of the supports; and in Figure
                        6-16B  for  hard-bearing  balancing machines.  Here  the  resonance  fre-
                        quency of the combined rotor-bearing support system is usually more
                        than three times greater than the maximum balancing speed.
                          For  more information on hard-bearing and other types of  balancing
                        machines, see articles on advantages of  hard-bearing machines and on
                        balancing  specific  types  of  rotors.  (Reprints  are  available  through
                        Schenck Trebel Corporation.)
                          Both soft- and hard-bearing balancing machines use various types of
                        sensing elements at the rotor-bearing supports to convert mechanical vi-
                        bration into an electrical signal. These sensing elements are usually ve-
                        locity-type pickups,  although certain hard-bearing balancing machines
                        use magnetostrictive or piezo-electric pickups.
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