13.5 Strain gauges
Strain gauges are devices that
experience a change in resistance when they are stretched or strained. They are
able to detect very small displacements, usually in the range 0–50 µm, and are
typically used as part of other transducers, for example diaphragm pressure
sensors that convert pressure changes into small displacements of the
diaphragm. Measurement inaccuracies as low as ±0.15% of full-scale reading are
achievable and the quoted life expectancy is usually three million reversals.
Strain gauges are manufactured to various nominal values of resistance, of
which 120 Ω, 350 Ω and 1000 Ω are very common. The typical maximum change of
resistance in a 120 Ω device would be 5 Ω at maximum deflection.
The traditional type of strain gauge
consists of a length of metal resistance wire formed into a zigzag pattern and
mounted onto a flexible backing sheet, as shown in Figure 13.5(a). The wire is
nominally of circular cross-section. As strain is applied to the gauge, the
shape of the cross-section of the resistance wire distorts, changing the
cross-sectional area. As the resistance of the wire per unit length is
inversely proportional to the cross-sectional area, there is a consequential
change in resistance. The input–output relationship of a strain gauge is
expressed by the gauge factor, which is defined as the change in resistance (R)
for a given value of strain (S), i.e.
gauge
factor = δR/δS
In recent years, wire-type gauges
have largely been replaced, either by metal-foil types as shown in Figure
13.5(b), or by semiconductor types. Metal-foil types are very
similar to metal-wire types except
the active element consists of a piece of metal foil cut into a zigzag pattern.
Cutting a foil into the required shape is much easier than forming a piece of
resistance wire into the required shape, and this makes the devices cheaper to
manufacture. A popular material in metal strain gauge manufacture is a
copper–nickel–manganese alloy, which is known by the trade name of ‘Advance’.
Semiconductor types have piezoresistive elements, which are considered in
greater detail in the next section. Compared with metal gauges, semiconductor
types have a much superior gauge factor (up to 100 times better) but they are
more expensive. Also, whilst metal gauges have an almost zero temperature
coefficient, semiconductor types have a relatively high temperature
coefficient.
In use, strain gauges are bonded to
the object whose displacement is to be measured. The process of bonding
presents a certain amount of difficulty, particularly for semiconductor types.
The resistance of the gauge is usually measured by a d.c. bridge circuit and
the displacement is inferred from the bridge output measured. The maximum
current that can be allowed to flow in a strain gauge is in the region of 5 to
50 mA depending on the type. Thus, the maximum voltage that can be applied is
limited and consequently, as the resistance change in a strain gauge is
typically small, the bridge output voltage is also small and amplification has
to be carried out. This adds to the cost of using strain gauges.
13.6 Piezoresistive sensors
A piezoresistive sensor is made from
semiconductor material in which a p-type region has been diffused into an
n-type base. The resistance of this varies greatly when the sensor is
compressed or stretched. This is frequently used as a strain gauge, where it
produces a significantly higher gauge factor than that given by metal wire or
foil gauges. Also, measurement uncertainty can be reduced to ±0.1%. It is also
used in semiconductor-diaphragm pressure sensors and in semiconductor
accelerometers.
It should also be mentioned that the
term piezoresistive sensor is sometimes used to describe all types of strain
gauge, including metal types. However, this is incorrect since only about 10%
of the output from a metal strain gauge is generated by piezoresistive effects,
with the remainder arising out of the dimensional cross-section change in the
wire or foil. Proper piezoelectric strain gauges, which are alternatively known
as semiconductor strain gauges, produce most (about 90%) of their output
through piezoresistive effects, and only a small proportion of the output is
due to dimensional changes in the sensor.
13.7 Optical sensors (air path)
Optical sensors are based on the
modulation of light travelling between a light source and a light detector, as
shown in Figure 13.6. The transmitted light can travel along either an air path
or a fibre-optic cable. Either form of transmission gives immunity to
electromagnetically induced noise, and also provides greater safety than
electrical sensors when used in hazardous environments.
Light sources suitable for
transmission across an air path include tungsten-filament lamps, laser diodes
and light-emitting diodes (LEDs). However, as the light from tungsten lamps is
usually in the visible part of the light frequency spectrum, it is prone to
interference from the sun and other sources. Hence, infrared LEDs or infrared
laser diodes are usually preferred. These emit light in a narrow frequency band
in the infrared region and are not affected by sunlight.
The main forms of light detector used
with optical systems are photocells (cadmium sulphide or cadmium selenide being
the most common type of photocell), phototransistors and photodiodes. These are
all photoconductive devices, whose resistance is reduced according to the
intensity of light to which they are exposed. Photocells and phototransistors
are particularly sensitive in the infrared region, and so are ideal partners
for infrared LED and laser diode sources.
Air-path optical sensors are commonly
used to measure proximity, translational motion, rotational motion and gas
concentration. These uses are discussed in more detail in later chapters.
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