Page 21 - Prosig Catalogue 2005
P. 21

HARDWARE PRODUCTS
                                                                                  STRAIN GAUGES EXPLAINED


        more electronics in the system the more noise imposed by the system.  ±10V then the smallest voltage that the system can distinguish will be:
        In data acquisition and signal processing the noise floor is a measure of      20 / 65536  =  0.3 mV
                                                              In decibels this dynamic range is therefore expressed as:
                                                                     20 Log  (1 / 65536) =  96dB
                                                                          10
                                                              Therefore for a 16-bit ADC the dynamic range is 96dB. Using the same
                                                              calculations the dynamic range of a 24-bit ADC is 144dB.
                                                              The noise floor of a measurement system is also limited by the resolution   Training & Support
                                                              of the ADC system. For example, the noise floor of a 16-bit measurement
                                                              system can never be better than -96dB and for a 24-bit system the lower
                                                              limit is limited to -144 dB. In practice, however, the noise floor will always
                                                              be higher  than  this  due  to electronic  noise  within  the measurement
                                                              system.
                                                              Modern data acquisition systems,  such as the Prosig P8000, employ a
                                                              number of sophisticated digital signal processing techniques to improve
                                                              the amplitude  resolution  and  thereby  allow  low  amplitude  data,  such
                                                              as noise floor signals, to be measured with greater precision and with
                                                              greater accuracy.

                                                              Strain Gauges Explained                                  Condition Monitoring
                              Figure 2
                                                              A strain gauge is an electrical sensor which is used to accurately measure
        the summation of all the noise sources and unwanted signals generated   strain in a test piece. Strain gauges are usually based on a metallic foil
        within the entire data acquisition and signal processing system. The noise   pattern. The gauge is attached to the test piece with a special adhesive.
        floor limits the smallest measurement that can be taken with certainty   As the test piece is deformed, so the adhesive deforms equally and thus
        since any measured amplitude cannot on average be less than the noise   the strain gauge deforms at the same rate and amount as the test piece.
        floor.                                                It is for this reason that the adhesive must be carefully chosen. If the
                                                              adhesive cracks or becomes detached from the test piece any test results
        In summary, the noise floor is the level of background noise in a signal, or
        the level of noise introduced by the system, below which the signal being   will be useless.
        captured cannot be isolated from the noise.           Strain gauges are used not just for metals; they have been connected to
        As shown in Figure 1 the noise floor is better than -120 dB.                           the retina  of the human
                                                                                               eye,  insects, plastics,
        Figure 2 shows that only signals above the noise floor can be measured                 concrete and indeed any   Software
        with any degree of certainty. In this case the signal level of -100dB at               material  where  strain
        20KHz could be measured. If however, the noise floor increased above the               is  under  investigation.
        -120dB level then it would become more difficult to measure this signal.  Figure 1: A strain gauge  Modern  composite
                                                                                               materials  like  carbon
        For example, it is possible for the human ear to hear a very low sound   fibre when under development are often constructed with strain gauges
        such as a pin drop or a whisper. However, this is only possible if the noise   between the layers of the material.
        floor or background noise of the particular environment is very low such
        as in a soundproof or quiet room. It would not be possible to hear or   The strain gauge is effectively a resistor. As the strain increases  so the
        discriminate such low levels in a noisy room.         resistance increases.
        Various techniques are employed by the Prosig P8000 data acquisition   In a basic sense a strain gauge is simply a long piece of wire. Gauges
        system in order to ensure that the noise floor of the equipment is kept   are mostly made from copper or aluminium (Figure 1). As the wire in
        as  low as possible.  These include  signal-processing functions  as  well   the strain gauge is mostly laid from end to end, the strain gauge is only
        as  practical  features such  as  the  ability  to  disable  cooling  fans  during   sensitive in that direction.  Hardware
        acquisition scans.
                                                              When an electrical conductor is stretched within the limits of its elasticity
        Dynamic range and resolution                          it will  become thinner and  longer.  It is  important  to understand  that
                                                              strain gauges actually deform only a very small amount, the wire is not
        Dynamic range is a term used to describe the ratio between the smallest   stretched anywhere near its breaking point. As it becomes thinner and
        and largest signals that can be measured by a system.  longer it’s electrical characteristics change. This is because resistance is a
        The dynamic range of a data acquisition system is defined as the ratio   function of both cable length and cable diameter.
        between the minimum and maximum amplitudes that a data acquisition   The formula for resistance in a wire is
        system can capture.
                                                                                       ρ x L  ρ = Resistivity (ohms per meter)
        In  practice most Analogue  to Digital  Converters  (ADC)  have a  voltage   Resistance in ohms (R) =  L = length in meters
        range of ± 10V. Sometimes amplification may be applied to signals before        α    α = cross section (m )
                                                                                                         2
        they are input to an ADC in order to maximize the input voltages within
        the available ADC range.                              For example, the resistance of a copper wire which has a resistivity of
                                                              1.8 x 10  Ω/m, is 1 meter long and has a cross sectional area of 2mm    System Packages
                                                                    -8
                                                                                                                 2
        The resolution of a measurement system is determined by the number of   would be
        bits that the ADC uses to digitise an input signal. Most ADCs have either
                                                                          -8
        16-bit or 24-bit resolution. For a 16-bit device the total voltage range is   1.8x10  x 1  0.000000018
                    16
        represented by 2  (65536) discrete digital values. Therefore the absolute   R =  0.002 2  =  0.000004  =  0.0045Ω
        minimum  level  that a  system  can  measure is  represented by  1  bit or
        1/65536  of the ADC voltage range. For a system with a voltage range of               continued on page 24
              th
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