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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 1-8:Applications Note 1-8:Zeroth-, First-, <strong>and</strong> Second-Order System DeÞnitions<strong>The</strong> definition <strong>of</strong> the order <strong>of</strong> a sensor is basically the generalized classification <strong>of</strong>the transfer function <strong>of</strong> the sensor.<strong>The</strong> Zero-Order Sensor:<strong>The</strong> zero-order sensor is sometimes referred to as the ÒZerothÓ order system,where the output <strong>of</strong> the sensor is a linear function <strong>of</strong> the input where,in theory at least, this relationship remains valid at all frequencies. <strong>The</strong>zero-order sensor structure is not realizable in practice; however, some sensorswill behave very much like zero-order sensors over limited b<strong>and</strong>widthsin frequency. <strong>The</strong> zero-order system is shown in Figure 1-22 <strong>and</strong>characterized as follows:F out (t) = K F in (t) (EQ 1-8)Where: F out (t) = <strong>The</strong> output function with respect to time.F in (t) = <strong>The</strong> input function with respect to time.K = <strong>The</strong> proportionality constant.FIGURE 1-24. <strong>The</strong> Zero-Order Response:.Input/OutputMagnitudeInputOutput(LVDTResponse)Time<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 1-45

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