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                       FIGURE 19.118  Schematic diagram of a bulk micromachined accelerometer.
                       Pressure Sensors Made of Non-Silicon Materials
                       For certain applications such as monitoring of internal combustion engine, pressure sensors are required
                       to sustain high temperature of operation. In such cases, silicon is not the optimal material because high
                       temperature causes doped silicon junctions to fail.
                         Work has also been done to implement polymer materials for pressure sensors. Though such devices
                       are relatively few, they represent an important development trend for future sensors.
                       Accelerometers
                       Bulk Micromachined Accelerometers
                       Acceleration sensors (or so-called inertial measurement units, IMU) are important for monitoring
                       acceleration and vibration experienced by a subject, such as an automobile, a machine, or a building.
                       Low-cost accelerometers used in automobile airbag deployment systems can reduce the costs and enhance
                       driver safety. Micromachined sensors can be made small and sufficiently low-cost to be used in smart
                       projectiles, for example, concrete penetrating bombs. Small, multi-axial accelerometers can also be applied
                       in writing instruments (smart pens) for handwriting recognition.
                         A representative bulk micromachined accelerometer is illustrated in Fig. 19.118. A SEM micrograph
                       of a prototype sensor is shown in Fig. 19.119. A silicon proof mass is attached to the end of a cantilever
                       beam. At the base of the cantilever beam lies a piezoresistive element. Supposing the mass of the proof
                       mass is m, and the magnitude of the acceleration is a, one can estimate the sensor output following a
                       few simple analysis steps. First, a concentrated force with a magnitude of F = ma is applied in the center
                       of the proof mass according to Newton’s first law. Secondly, the force translates into a torque loading at
                       the base of the cantilever with the magnitude being

                                                         
                                                                    
                                                            --- =
                                                  M =  F l +  L   ma l +  L 
                                                                        ---
                                                                    
                                                            2
                                                                        2
                                                         
                       The magnitude of the strain experienced at the surface of the cantilever beam, where the piezoresistors
                       are located, is
                                                               Mt
                                                           e =  --------
                                                               2EI
                       ©2002 CRC Press LLC
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