Page 285 - Tribology in Machine Design
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270  Tribology in machine design

                                three times the r.m.s. level, then for a typical lubricant film thickness of
                                0.3 ^m, surface finishes better than 0.05/^m are required to achieve a low
                                probability of surface-surface interaction.


                                Waviness
                                For the longer-wavelength surface features, peak curvatures are low
                                compared to that of the Hertzian contacts and hence rolling motion is
                                continuous with the rolling elements following the surface contours. The
                                relationship between the surface geometry and vibration level is complex,
                                being dependent upon bearing and contact geometry as well as the
                                conditions of load and speed. The published theoretical models aimed at
                                predicting bearing vibration levels from the surface waviness measurements
                                have been successful only on a limited scale. Waviness produces vibration
                                at frequencies up to approximately 300 times rotational speed but is
                                predominant at frequencies below about 60 times rotational speed. The
                                upper limit is attributed to the finite area of the Hertzian contacts which
                                average out the shorter-wavelength features. In the case of two discs in
                                rolling contact, the deformation at the contact averages out the simple
                                harmonic waveforms over the contact width.

                                Bearing quality levels
                                The finish and form of the rolling surfaces, largely determine the bearing
                                quality but there are no universally accepted standards for their control.
                                Individual bearing manufacturers set their own standards and these vary
                                widely. Vibration testing is an effective method of checking the quality of
                                the rolling surfaces but again there is no universal standard for either the
                                test method or the vibration limits. At present there are a number of basic
                                tests in use for measuring bearing vibration, of these the method referred to
                                by the American Military Specification MIL B 17913D is perhaps the
                                most widely used.


                                7.6.4. External influences on noise generation
                                There are a number of external factors responsible for noise generation.
                                Discrete defects usually refer to a wide range of faults, examples of which are
                                scores of indentations, corrosion pits and contamination. Although these
                                factors are commonplace, they only occur through neglect and, as a
                                consequence, are usually large in amplitude compared to inherent rolling
                                surface features. Another frequent source of noise is ring distortion.
                                Mismatch in the precision between the bearing and the machine to which it
                                is fitted, is a fundamental problem in achieving quiet running. Bearings are
                                precision components, roundnesses of 2/j.m are common and unless the
                                bearing seatings on the machines are manufactured to a similar precision,
                                low frequency vibration levels will be determined more by ring distortion,
                                after fitting, than by the inherent waviness of the rolling surfaces.
                                  Bearings which are too lightly loaded can produce high vibration levels.
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