Page 103 - Mechanical Engineers' Handbook (Volume 2)
P. 103

92   Bridge Transducers

                          lessened such that R /R   R /R . The effect of R in parallel with R is to lessen the value
                                                   3
                                                 2
                                            4
                                          1
                                                                                4
                                                                 B
                          of the bridge arm from R to some new value R .
                                                                T
                                              4
                             The overall combination of R in parallel with R must be variable over a range at least
                                                                   4
                                                    B
                          equal to the maximum possible initial unbalance of the bridge. Selecting this range, other
                          than by trial and error, requires knowledge of the strain gage resistance R, its tolerance in
                          percentage m, and the number of active gages n in the bridge. The range of the balancing
                          circuit should be
                                                           2Rmn
                                                                                              (20)
                                                            100
                                                                    desensitizes the bridge network since
                             Note that the presence of the variable resistor R B
                           R /R is not equal to  R /R . If the strain gages are initially closely matched, the influence
                               4
                                                 T
                            4
                                              T
                          of this effect is small since R will remain large and R will closely approximate R .For
                                                 B
                                                                                             4
                                                                      T
                          optimum precision, the best method to minimize the influence of the variable resistor is to
                          calibrate the transducer once the bridge is balanced. Of course, if less than four arms of the
                          bridge are active and balancing is performed across a dummy completion resistor, no desen-
                          sitizing of the bridge occurs.
                             Two techniques are available to manipulate two adjacent arms in a bridge. Again, the
                          rationale for this manipulation is to satisfy Eq. (5). The first technique is series manipulation,
                          which assumes the bridge is open such that the variable resistance may be inserted in series
                          with two arms of the bridge. This technique is not applicable to a closed bridge.
                             Figure 17 shows a variable series resistor R inserted in one corner of the bridge. The
                                                                S
                          insertion of R , which is typically quite small, allows adjustment of the ratio of R to R to
                                                                                          2
                                                                                               3
                                    S
                          achieve balance. Reference 2 provides the best discussion of bridge balance networks and
                          indicates that minimum bridge desensitization occurs when bridge power is applied across
                          the vertical terminals of Fig. 17 as opposed to the horizontal.
                             The second technique discussed (and the one typically used) is parallel manipulation of
                          two adjacent bridge arms. Figure 18 illustrates this technique. The parallel variable resistor
                          R allows the ratio of R /R to be adjusted. A pad resistor, R PAD , serves simply to keep the
                           B
                                            2
                                               3
                          individual bridge arms from being shorted out at the end of travel of R . Again, the secret
                                                                                  B
                          is to keep the combination of R and R PAD  as high as possible to avoid bridge desensitization.
                                                  B
                          If no other guidance is available, start out with a pad resistor about 100 times the bridge
                          resistance and a variable resistor about 20 times the bridge resistance. Again, maximum
                          accuracy is achieved when the bridge transducer is calibrated with the balance network with
                          which it will be used.


                          Figure 17 Circuit for series manipulation of  Figure 18 Circuit for parallel manipulation of
                          two adjacent bridge arms.             two adjacent bridge arms.
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