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MEASUREMENT AND INSTRUMENTATION



        The output rms noise of a MEMS accelerometer can be    Equation 3 offers this in a generic form, along with an example,
        determined by the following formula:                   which estimates the total noise associated with an accelerometer
                                                               with a noise density of 80 µg/√Hz, when using it with a single-pole
                                                               low-pass filter that has a cut-off frequency of 1000 Hz (f  = 1000
                                                                                                         C
                                                               Hz). At 3.17 mg, the accelerometer appears to meet the boundary
        Once the sensor noise is understood, it is important to match   condition from Equation 2:
        the most suitable sensor to the machine type, keeping in
        mind some important questions such as: will the sensor’s
        noise prohibit it from measuring important vibrations, and will
        the g-range of the sensor be able to withstand potential fault
        vibration levels? Luckily, there are standards that can help with
        this, such as ISO 10816.
           ISO 10816 establishes conditions and procedures for the   Table 7 shows the prescribed vibration levels for each class
        measurement and evaluation of vibrations from assets and   of machine, from a known good state to dangerous fault level
        machines. It defines a vibration severity standard where the rms   vibrations and the corresponding minimum noise a MEMS
        velocity (10 Hz to 1 kHz) of the installed machine’s housing is   accelerometer requires to detect known good vibrations in region
        used as a condition indicator, as shown in Table 6. The measured   A (Class I at 4.5 mg, Class II at 7.2 mg, Class III at 11.5 mg, and
        vibration from the machine is classified based on machine size,   Class IV at 17.9 mg).
        mounting strategy, and machine class (I = small, II = medium, III   This data suggests that MEMS C2, MEMS C1, MEMS B,
        = large with small foundation, and IV = large with rigid foundation).  and ADXL317 (z-axis) are not suited for use on machines where
                                                               a noise level below 0.71 mm/s or 4.5 mg is required to detect
        Please note that accelerometers typically output acceleration in   a known good level of vibration (A). MEMS B, MEMS C2, and
        g, whereas ISO 10816 uses velocity in mm/s or in/s. Equation   MEMS C1 are not suited for use on machines requiring noise
        2 can help us translate accelerations in g to velocity in mm/s. It   below 1.12 mm/s or 7.2 mg. MEMS C2 do not have sufficient
        determines that at a minimum vibration frequency of 10 Hz, the   noise performance for use on any class of machine shown, to
        noise in the acceleration measurement must be less than 7.18   detect known good vibration severity levels (A).
        mg to detect vibration severity in the good range (A) for a Class   Please note that all sensor noise values reported in Table 7
        2 machine, per ISO 10816-1 (V MIN = 1.12 mm/s) as shown in   are for full bandwidth measurements, even though ISO 10816
        Table 6. 4                                             is only concerned with bandwidths up to 1 kHz. It is assumed
                                                               that if a vibration sensor has a wider bandwidth, this will typically
                                                               be used in order to not only detect vibration severity but also
                                                               to diagnose any potential faults at higher frequencies. With the
                                                               bandwidth limited to 1 kHz ,MEMS C1 fails Class I noise levels
                                                               while MEMS C2 only passes on Class IV.


         Table 6. ISO 10816 vibration Severity Chart

         RMS Vibration Velocity (mm/s)   Class I                           Class II     Class III    Class IV
         0.28
                                        A                                       A
         0.45
         0.71                                                                                A
         1.12                                                                                             A
                                        B
         1.8
                                                                                B
         2.8
                                        C                                                    B
         4.5
                                                                                C                         B
         7.1
                                                                                             C
         11.2                                                                                             C
         18                             D
                                                                                D
         28                                                                                  D
                                                                                                          D
         45

         ■ A—Recently commissioned motor installation
         ■ B—Unlimited, satisfactory, long-time operation
         ■ C—Short-time operation
         ■ D—Vibration level that causes damage to the motor




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