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134  Measurement of pressure

                   Crystal structure (simplified)            Crystal  structure (simplified)
               Unloaded           Loaded               Unloaded           Loaded
                                                                          '4
                                                  r              y  -------_-_





















         Figure 9.22  Principle  of transverse piezoelectric effect.   ++-++Ft ++++
         Courtesy, Kistler Instruments Ltd.

                                                  Figure 9.24  Charge amplifier associated with
                                                  piezoelectric effect sensor.

                                                  jected  to  mechanical  stress.  Strain  gauges,  as
                                                  described in Chapter 4, involve this phenomenon,
                                                  but the particular characteristics  of silicon allow
                                                  construction  of  a  thin  diaphragm  that  can  be
                                                  deflected  by  an  applied  pressure  and  can  have
                                                  resistors  diffused into it to provide  a means  for
         Figure 9.23  Principle  of longitudinal piezoelectric effect.   sensing the deflection. An example of  this is the
         Courtesy, Kistler Instruments Ltd.       Kistler  4000  series as shown in  Figure 9.25  for
                                                  which  the  pressure-sensing element  is  shown  in
         quartz transducer is virtually completely compen-   Figure 9.26.
         sated.  It  can  be  shown  that  the  output  voltage   Because the stress varies across the diaphragm,
         from the amplifier is -Q/C,  where Q is the charge   four  pairs  of resistors  are diffused into a wafer
         generated by the quartz sensor and C, is the feed-
         back capacitance. Thus the  system is essentially
         insensitive to  the  influence  of  the  input  cable
         impedance.
           Sensors  such  as  these  are  characterized  by
         their  high  stability,  wide  dynamic  range,  good
         temperature  stability,  good  linearity,  and  low
         hysteresis.  They  are  available  in  a  very  wide
         variety  of  configurations  for  dynamic  pressure
         ranges from 200 kPa to  100 MPa.

         9.2.4  Pressure measurement by allowing the
         unknown pressure to act on an elastic member and
         measuring the resultant stress or strain
         9.2.4. I  Piezo-resistive pressure sensors
                                                     b
         For many metals and some other solid materials,   *-     Figure 9.25  Piezo-resistive
                                                                  pressure transducer. Courtesy,
         the  resistivity  changes  substantially  when  sub-     Kistler Instruments Ltd.
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