Page 386 - The Mechatronics Handbook
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Another type of resistive sensor is the flexible bend sensor. Conductive ink between two electrical
                                 contacts on a flexible material changes resistance as the material bends and stretches. Used in a voltage
                                 divider with a fixed resistor, the analog voltage may be used as a measure of the bend. Such a sensor
                                 could be used to detect contact (like a whisker) or as a rough measure of the deformation of a surface
                                 to which it is attached.


                                 Tilt (Gravity)
                                 A mercury switch can be used to provide one bit of information about orientation relative to the gravity
                                 vector. A small drop of mercury enclosed in a glass bulb opens or closes the electrical connection between
                                 two leads depending on the orientation of the sensor. Several mercury switches at different orientations
                                 may be used to get a rough estimate of tilt. The signal from a mercury switch may “bounce” much like
                                 the signal from a mechanical contact switch (Fig. 19.2).
                                   An inclinometer can be used to measure the amount of tilt. One example is the electrolytic tilt sensor.
                                 Manufacturers include The Fredericks Company and Spectron Glass. Two-axis models have five parallel
                                 rod-like electrodes in a sealed capsule, partially filled with a conductive liquid. Four of the electrodes are
                                 at the corners of a square, with one in the middle. Tilting the sensor changes the distribution of current
                                 injected via the center electrode in favor of the electrodes which are more deeply immersed.
                                   Tilt sensors may be obtained with liquids of varying viscosity, to minimize sloshing. Because a DC
                                 current through the liquid would cause electrolysis and eventually destroy the sensor, AC measurements
                                 of conductivity are used. As a result, the support electronics are not trivial.
                                   The liquid conductivity is highly temperature dependent. The support electronics for the tilt sensor
                                 must rely on a ratio of conductivity between pairs of rods. Also, although the electrolytic tilt sensor
                                 operates over a wide temperature range, it is greatly disturbed by nonuniformities of temperature across
                                 the cell.
                                   Another kind of simple inclinometer can be constructed from a rotary potentiometer with a pendulum
                                 bob attached. A problem with this solution is that friction may stop the bob’s motion when it is not
                                 vertical. A related idea is to use an absolute optical encoder with a pendulum bob. Complete sensors
                                 operating on this principle can be purchased with advanced options, such as magnetic damping to reduce
                                 overshoot and oscillation. An example is US Digital’s 12-bit A2I absolute inclinometer.
                                   Of course, gravity acting on a device is indistinguishable from acceleration. If the steady-state tilt of
                                 a device is the measurement of interest, simple signal conditioning should be used to ensure that the
                                 readings have settled.
                                   Other more sophisticated tilt sensors include gyroscopes and microelectromechanical (MEMS) devices,
                                 which are not discussed here.


                                 Capacitive
                                 Capacitance can be used to measure proximity or linear motions on the order of millimeters. The
                                 capacitance C of a parallel plate capacitor is given by C = ε r  ε o  A/d, where ε r  is the relative permittivity
                                 of the dielectric between the plates, ε o  is the permittivity of free space, A is the area of overlap of the two
                                 plates, and d is the plate separation. As the plates translate in the direction normal to their planes, C is
                                 a nonlinear function of the distance d. As the plates translate relative to each other in their planes, C is
                                 a linear function of the area of overlap A. Used as proximity sensors, capacitive sensors can detect metallic
                                 or nonmetallic objects, liquids, or any object with a dielectric constant greater than air.
                                   One common sensing configuration has one plate of the capacitor inside a probe, sealed in an insulator.
                                 The external target object forms the other plate of the capacitor, and it must be grounded to the proximity
                                 sensor ground. As the sensor approaches the target, the capacitance increases, modifying the oscillation
                                 of a detector circuit including the capacitor. This altered oscillation may be used to signal proximity or
                                 to obtain a distance measurement.
                                   Manufacturers of capacitive sensors include Cutler-Hammer and RDP Electronics.


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