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The Art of Practical and Precise Strain Based ... - Webprofile.info

The Art of Practical and Precise Strain Based ... - Webprofile.info

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Applications Note 1-6:Applications Note 1-6:<strong>The</strong> Measurement System Transfer Function<strong>The</strong> transfer function is the complete relationship defining the output <strong>of</strong> a sensorfor any set <strong>of</strong> measur<strong>and</strong> inputs. <strong>The</strong> transfer function is also the relationship bywhich the time-varying input measur<strong>and</strong> is related to the resulting time-varyingoutput <strong>of</strong> a sensor. <strong>The</strong> transfer function is generally accepted as:F outH(f) where:( f ) = H( f)F in ( f )F out = the output function <strong>of</strong> the sensor.F in = the input measur<strong>and</strong> function.Note that each element <strong>of</strong> the signal-processing system will also possess a uniquetransfer function as well.<strong>The</strong> Concept <strong>of</strong> Spatial Independence:<strong>The</strong> concept <strong>of</strong> spatial independence means that a variable measur<strong>and</strong> is spatiallyuniform <strong>and</strong> that the value <strong>of</strong> the measur<strong>and</strong> is constant <strong>and</strong> independent <strong>of</strong> position,relative to the size <strong>of</strong> the sensorÕs active member. <strong>The</strong> statically-pressurizedvessel meets the requirements <strong>of</strong> spatial independence. Tight turbulent flow fields,as may be encountered around an antenna mounted to a high-performance fighteraircraft, will show high-level pressure variations over small linear distances,implying that the value <strong>of</strong> the measur<strong>and</strong> may not be constant over the sensitivearea <strong>of</strong> the sensor. In cases such as this, the requirement for spatial independencemay not be met. Figure 1-6 graphically shows the concept <strong>of</strong> spatial independence.<strong>The</strong> <strong>Art</strong> <strong>of</strong> <strong>Practical</strong> <strong>and</strong> <strong>Precise</strong> <strong>Strain</strong> <strong>Based</strong> Measurement 2nd Edition © 1999 CHAPTER 1-19

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