Page 22 - EngineerIT March 2022
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MEASUREMENT


        How to design a good vibration sensor




        enclosure using modal analysis




        By Richard Anslow, System Applications Engineer, Automation and Energy Business Unit at Analog Devices






         In the article
         A well-constructed mechanical enclosure design for a MEMS
         accelerometer will ensure that high quality vibration data for
         CbM is extracted from the monitored asset. The mechanical
         enclosure used to house a MEMS accelerometer needs to have
         a frequency response better than the integrated MEMS. This
         article uses modal analysis to provide the natural frequencies
         possible with enclosure designs. Guidance on vibration sensor
         design is provided using theoretical and ANSYS modal simulation
         examples. It is shown that geometry effects, such as enclosure
         shape (such as a cylinder or a rectangle) and height dominate
         the natural frequencies in enclosure design. Mechanical design
         examples are provided for housing single-axis and tri-axial MEMS
         accelerometers with 21 kHz resonant frequency. This article also
         provides guidance on epoxy integration in enclosures, as well as   Figure 1. The ADXL1002 MEMS accelerometer frequency response
         cable installation and mounting options for sensors.
                                                               the Timoshenko equation of vibration will be used for the
                                                               simulation. We will cover this in more detail later in the article.
        What is modal analysis and why is it important?        A thick, short, cantilevered cylinder is similar to a vibration
        A steel or aluminum enclosure is used to house a MEMS   sensor mounted on industrial equipment, as shown in Figure
        vibration sensor and provide solid attachment to monitored   2. The vibration sensor is fixed to industrial equipment using a
        assets as well as water and dust resistance (IP67). A good   stud mount. Both stud mounting and enclosure design require
        metallic enclosure design will ensure high quality vibration   careful characterisation so that mechanical resonances do
        data is measured from the asset. Designing a good mechanical   not affect the MEMS vibration frequencies of interest. Finite
        enclosure requires an understanding of modal analysis.  element methods (FEMs) using ANSYS or similar programs can
           Modal analysis is used to understand the vibration   be used as an efficient solver for the equation of vibration of a
        characteristics of structures. Modal analysis provides the   short, thick cylinder.
        natural frequencies and normal modes (relative deformation)
        of a design. The primary concern in modal analysis is to avoid
        resonance, where the natural frequencies of a structural design
        closely match that of the applied vibration load. For vibration
        sensors, the natural frequencies of the enclosure must be
        greater than that of the applied vibration load measured by the
        MEMS sensor.
           The frequency response plot for the ADXL1002 MEMS
        accelerometer is shown in Figure 1. The ADXL1002 3 dB
        bandwidth is 11 kHz, and it has a 21 kHz resonant frequency. A
        protective enclosure used to house the ADXL1002 needs to have
        a first natural frequency of 21 kHz or greater.

        Vibration sensor enclosure model
        For modal analysis and design, a vibration sensor can be seen
        as a thick, short, cantilevered beam cylinder. In addition,   Figure 2. Vibration sensor enclosure modeling



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