Page 55 - Rotating Machinery Pratical Solutions to Unbalance and Misalignment
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Vibration Due to Unbalance
                                                              Chapter
                                                              Chapter
                                                              Chapter
                                                              Chapter
                                                              Chapter
                                                         Vibration
                                                        Vibration
                                                        Vibration
                                                        Vibration
                                                         Vibration
                                     Due to Unbalance
                                     Due to Unbalance
                                     Due to Unbalance
                                     Due to Unbalance
                                     Due to Unbalance

            INTRODUCTION

                  nbalance is the most common source of vibration in rotating
                  equipment. Vibration due to unbalance occurs at a fre-
           U U U U U quency of 1 × rpm of the unbalanced element, and its am-
            plitude is proportional to the amount of unbalance. Normally, the
            vibration signal is measured in both the vertical and horizontal
            planes. With a simply supported rotating element, that is a bear-
            ing at both ends of the shaft, the vibration due to unbalance will
            be in the radial plane with very little vibration sent in the axial
            direction. In the case of an over hung rotor, high axial vibrations
            may occur, and the amplitude in the axial plane may equal those
            measured radially. See Figure 4-9.
                 The force generated by unbalance can be expressed as:

                                        2
                 F = 1.774 * (rpm/1000) * in-oz.                        (4.1)
            Where:
                    F   =  Force in pounds.
                 rpm  =  is the rpm of the unbalanced element.
                in-oz.  =  inch ounces of unbalance.


            NOTE: An inch-ounce of unbalance is simply the amount of un-
            balance weight in ounces times the distance from the center of
            rotation, expressed in inches. Thus an inch-ounce can be a one-
            ounce weight at one inch from the center of rotation, or a tenth of
            an ounce at ten inches from the rotational center.
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