Detecting MEMS acceleration vibrations in monitoring systems

April 28, 2023

In modern state monitoring (CM) systems, MEMS accelerometers are becoming increasingly sophisticated as vibration sensors. The recent expansion of performance such as measurement range, bandwidth and resolution (noise) has made new concepts and system architectures possible, and state monitoring developers have been waiting for this opportunity for a long time, eager to take advantage of the size, cost and size of MEMS sensors. Reliability advantage. When the system architect conducts an initial feasibility study, it may be necessary to evaluate what range of vibration amplitudes (VMIN, VMAX) and frequencies (fMIN, fMAX) a particular sensor can support. If the amplitude characteristic is expressed in terms of speed, the developer needs to convert it to acceleration to evaluate against the sensor's important specifications (noise, range). Equation 1 provides a way to eliminate this divergence by deriving a single frequency (fV) model of velocity V(t) to derive the equivalent acceleration formula a(t).

Detecting MEMS acceleration vibrations in monitoring systems

VPEAK

Using the acceleration equation in Equation 1, you can get a simple formula that relates its peak and root mean square values ​​to the equivalent speed level (see Equation 2).

Detecting MEMS acceleration vibrations in monitoring systems

(2)

Detecting MEMS acceleration vibrations in monitoring systems

Assuming that the accelerometer operates at the most stressful portion of the system's vibration boundary, ie, the lowest frequency (fMIN) and amplitude (VMIN), the boundary conditions of the accelerometer noise can be determined by the root mean square form of the above relationship. This form of relationship can be useful when evaluating specific accelerometers against the "Industry Standard Vibration Severity Classification". For example, Equation 3 determines that at the lowest vibration frequency of 10 Hz, the accelerometer must measure less than 7.18 mg to properly detect the vibration severity of Class 2 machines (according to ISO-10816-1, VMIN = 1.12 mm/s). ).

Detecting MEMS acceleration vibrations in monitoring systems

(3)

Detecting MEMS acceleration vibrations in monitoring systems

The noise density (ND) of the accelerometer multiplied by the square root of the noise bandwidth (fNBW) is a relatively simple method of estimating the total noise of a particular accelerometer and filter configuration.

Equation 4 is its general form, which also gives an example of estimating the total noise associated with the accelerometer ADXL357 (ND = 80 μg/√Hz) with a cutoff frequency of 1000 Hz (fC = 1000 Hz) The single pole low pass filter is used. At 4.7 mg, ADXL357 appears to satisfy the boundary conditions in Equation 3.

Detecting MEMS acceleration vibrations in monitoring systems

(4)

Detecting MEMS acceleration vibrations in monitoring systems

The peak form of Equation 2 (see Equation 5) can be used to estimate another important boundary condition of the accelerometer: the measurement range. Equation 5 also provides a specific example of the magnitude of unacceptable vibration on a Class 4 device (according to ISO-1081-1, VMAX = 28 mm/s, frequency fMAX = 1000 Hz), at least ±25.3 g Measuring range.

Detecting MEMS acceleration vibrations in monitoring systems

(5)

Detecting MEMS acceleration vibrations in monitoring systems

While final sensor selection may require additional consideration and validation, this level of analysis helps ensure that the design meets the most basic boundary conditions before investing in an early test platform and performing characterization tests.

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