19.1.9 Measurement of large
displacements (range sensors)
One final class of instruments that
has not been mentioned so far consists of those designed to measure relatively
large translational displacements. Most of these are known as range sensors and
measure the motion of a body with respect to some fixed datum point.
Rotary potentiometer and
spring-loaded drum
One scheme for measuring large
displacements that are beyond the measurement range of common displacement
transducers is shown in Figure 19.13. This consists of a steel wire attached to
the body whose displacement is being measured: the wire passes round a pulley
and on to a spring-loaded drum whose rotation is measured by a rotary
potentiometer. A multi-turn potentiometer is usually required for this to give
an adequate measurement resolution. With this measurement system, it is
possible to reduce measurement uncertainty to as little as ±0.01% of full-scale
reading.
Range sensors
Range sensors provide a well-used
technique of measuring the translational displacement of a body with respect to
some fixed boundary. The common feature of all range sensing systems is an
energy source, an energy detector and an electronic means of timing the time of
flight of the energy between the source and detector. The form of energy used
is either ultrasonic or light. In some systems, both energy source and detector
are fixed on the moving body and operation depends on the energy being
reflected back from the fixed boundary as in Figure 19.14(a). In other systems,
the energy source is attached to the moving body and the energy detector is
located within the fixed boundary, as shown in Figure 19.14(b).
In ultrasonic systems, the energy is
transmitted from the source in high-frequency bursts. A frequency of at least
20 kHz is usual, and 40 kHz is common for measuring distances up to 5 m. By
measuring the time of flight of the energy, the distance of the body from the
fixed boundary can be calculated, using the fact that the speed of sound in air
is 340 m/s. Because of difficulties in measuring the time of flight with
sufficient accuracy, ultrasonic systems are not suitable for measuring
distances of less than about 300 mm. Measurement resolution is limited by the
wavelength of the ultrasonic energy and can be improved by operating at higher
frequencies. At higher frequencies, however, attenuation of the magnitude of
the ultrasonic wave as it passes through air becomes significant. Therefore,
only low frequencies are suitable if large distances are to be measured. The
typical inaccuracy of ultrasonic range finding systems is ±0.5% of full scale.
Optical range finding systems
generally use a laser light source. The speed of light in air is about 3 × 108
m/s, so that light takes only a few nanoseconds to travel a metre. In
consequence, such systems are only suitable for measuring very large
displacements where the time of flight is long enough to be measured with
reasonable accuracy.
19.1.10 Proximity sensors
For the sake of completeness, it is
proper to conclude this chapter on translational displacement transducers with
consideration of proximity sensors. Proximity detectors provide information on
the displacement of a body with respect to some boundary, but only insofar as
to say whether the body is less than or greater than a certain distance away from
the boundary. The output of a proximity sensor is thus binary in nature: the
body is or is not close to the boundary.
Like range sensors, proximity
detectors make use of an energy source and detector. The detector is a device
whose output changes between two states when the magnitude of the incident
reflected energy exceeds a certain threshold level. A common form of proximity
sensor uses an infrared light-emitting diode (LED) source and a
phototransistor. Light triggers the transistor into a conducting state when the
LED is within a certain distance from a reflective boundary and the reflected
light exceeds a threshold level. This system is physically small, occupying a
volume of only a few cubic centimetres. If even this small volume is obtrusive,
then fibre-optic cables can be used to transmit light from a remotely mounted
LED and phototransistor. The threshold displacement detected by optical
proximity sensors can be varied between 0 and 2 m.
Another form of proximity sensor uses
the principle of varying inductance. Such devices are particularly suitable for
operation in aggressive environmental conditions and they can be made vibration
and shock resistant by vacuum encapsulation techniques. The sensor contains a
high-frequency oscillator whose output is demodulated and fed via a trigger
circuit to an amplifier output stage. The oscillator output radiates through
the surface of the sensor and, when the sensor surface becomes close to an
electrically or magnetically conductive boundary, the output voltage is reduced
because of the interference with the flux paths. At a certain point, the output
voltage is reduced sufficiently for the trigger circuit to change state and
reduce the amplifier output to zero. Inductive sensors can be adjusted to
change state at displacements in the range of 1 to 20 mm.
A third form of proximity sensor uses
the capacitive principle. These can operate in similar conditions to inductive
types. The threshold level of displacement detected can be varied between 5 and
40 mm.
Fibre-optic proximity sensors also
exist where the amount of reflected light varies with the proximity of the
fibre ends to a boundary, as shown in Figure 13.2(c).
19.1.11 Selection of translational
measurement transducers
Choice between the various
translational motion transducers available for any particular application
depends mainly on the magnitude of the displacement to be measured, although
the operating environment is also relevant. Displacements larger than five
metres can only be measured by a range sensor, or possibly by the method of
using a wire described in section 19.1.9 (Figure 19.14). Such methods are also
used for displacements in the range between 2 and 5 metres, except where the
expense of a variable inductance transducer can be justified.
For measurements within the range of
2 mm to 2 m, the number of suitable instru[1]ments
grows. Both the relatively cheap potentiometer and the LVDT, which is somewhat
more expensive, are commonly used for such measurements. Variable-inductance
and variable-capacitance transducers are also used in some applications.
Additionally, strain gauges measuring the strain in two beams forced apart by a
wedge (see section 19.1.5) can measure displacements up to 50 mm. If very high
measurement resolution is required, either the linear inductosyn or the laser
interferometer is used.
The requirement to measure
displacements of less than 2 mm usually occurs as part of an instrument that is
measuring some other physical quantity such as pressure, and several types of
device have evolved to fulfill this task. The LVDT, strain gauges, the Fotonic
sensor, variable-capacitance transducers and the non-contacting optical
transducer all find application in measuring diaphragm or Bourdon-tube
displacements within pressure transducers. Load cell displacements are also
very small, and these are commonly measured by nozzle flapper devices.
If the environmental operating
conditions are severe (for example, hot, radioactive or corrosive atmospheres),
devices that can be easily protected from these conditions must be chosen, such
as the LVDT, variable inductance and variable capacitance instruments.
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