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

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Applications Note 1-10:Structural or Solid Damping:It has been established that cyclically-stressed materials dissipate energywithin the material itself. This is the reason that the response <strong>of</strong> a cantileverbeam accelerometer or piezoelectric accelerometer is not infinite at the resonancefrequency due to the internal damping <strong>of</strong> the beam material itself.It has also been found that most structural materials such as steel <strong>and</strong> aluminumwill dissipate energy per stress cycle that is predominantly independent<strong>of</strong> frequency <strong>and</strong> is proportional to the square <strong>of</strong> the amplitude <strong>of</strong>vibration. With the energy dissipated per cycle proportional to the square <strong>of</strong>the vibration amplitude, the loss coefficient is constant <strong>and</strong> the shape <strong>of</strong> thehysteresis curve remains independent <strong>of</strong> amplitude <strong>and</strong> strain rate. In concertwith the intrinsic structural damping afforded by the materials thatcomprise the sensor structure, external or extrinsic materials can be used t<strong>of</strong>urther aid in the structural damping <strong>of</strong> the sensor.FIGURE 1-35. Structural-Damping Model:AccelerationAccelerometerFoundationDamping MaterialKRFoundationSolid materials used for structural damping are generally mounted underthe accelerometer structure as shown in Figure 1-35 <strong>and</strong> therefore presentan additional spring <strong>and</strong> damper suspension which must be considered inthe determination <strong>of</strong> the total transfer function <strong>of</strong> the accelerometer. Soliddamping is not generally useful at low frequencies but can be <strong>of</strong> use in theexplosives <strong>and</strong> ordinance testing fields to mitigate the high-frequency componentsthat are induced in explosively-driven structures such as armorplating. It should be realized that structural damping is a form <strong>of</strong> frequency<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 1-65

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