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Handbook of Railway Vehicle Dynamics

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432<br />

Foil gauges are particularly delicate items, and considerable care is required when mounting<br />

them on atest component if accurate and reliable measurements are to be achieved. Mounting<br />

surfaces must bepolished toagood surface finish and then cleaned with specialist solvents<br />

and cleaning agents to remove any oil contamination and oxides and ensure that the surface<br />

is at the optimum pH for bonding. An adhesive will then be applied to the surface <strong>of</strong> the part and the<br />

gauge, complete with its backing tape, will be pressed onto the surface. Finally, the backing tape is<br />

peeled away leaving the gauge bonded to the test specimen. Gauges may be supplied with leads<br />

already attached to them, or the leads may be soldered in place once the gauge is mounted.Ineither<br />

case it is goodpractice to bond aterminal in place adjacent to the gauges from which the main leads<br />

can be led away to the bridge circuit. Once the installation is complete, the gauges should be tested<br />

before being finally encapsulated inaprotective coating to prevent ingress <strong>of</strong> water and other<br />

contaminants. Strain gauges are now available with various mounting systems including weldable<br />

gauges that are fixed to the component using asmall spot welder.<br />

Strain gauges have anumber <strong>of</strong> applications in the fields <strong>of</strong> rail vehicle testing. They are<br />

commonly the basis <strong>of</strong> force-measuring devices such as load cells and force-measuring wheels.<br />

Strain gauges may also be attached directly to components that are being tested under laboratory<br />

conditions. In both these instances the load cell or component can be mounted in atest machineand<br />

the resulting strain can be calibrated against aknownforce input. Strain gauges are alsowidely used<br />

in structural test applications such as determining the strain regimes present in bogie frames or<br />

vehicle bodies for testing performed either in the laboratory or on track. Thedata generated may be<br />

used to provide validation for finite element models or as the basis<strong>of</strong>fatiguecalculations. However,<br />

as gauges measure strain atsingular point(s), considerable care and skill is required to ensure that<br />

the critical elements <strong>of</strong> astructures behaviour are captured.<br />

1. Bridge Circuits<br />

The change <strong>of</strong> resistance generated by strain gauges is very small, typically <strong>of</strong>the order <strong>of</strong> afew<br />

hundredths <strong>of</strong> an ohm. The mostconvenient means <strong>of</strong> measuring such changes is with aWheatstone<br />

bridge. This comprises <strong>of</strong> four resistances connectedtoaDC powersupplyasshowninFigure 13.10.<br />

If R 1 ¼ R 2 ¼ R 3 ¼ R 4 ; the bridge is said to be balanced and avoltmeter connected across the bridge<br />

as shown will read 0V.Itcan be shown 3 that:<br />

R 1 = R 3 ¼ R 2 = R 4<br />

<strong>Handbook</strong> <strong>of</strong> <strong>Railway</strong> <strong>Vehicle</strong> <strong>Dynamics</strong><br />

This equation highlights two important factors about the Wheatstone bridge. If more than one strain<br />

gauge is connected in the measuring circuit, the sensitivity <strong>of</strong> the bridge can be increased. It is<br />

also apparent that changes inresistance onone half <strong>of</strong> the bridge may “balance” bychanging<br />

the resistance<strong>of</strong>the other half. As described below, this provides auseful method <strong>of</strong> compensating<br />

for the temperature sensitivity <strong>of</strong> strain gauges.<br />

In order to measure strains, the resistors shown in Figure 13.10 are replaced by one or more<br />

straingauges (which are <strong>of</strong> coursevariable resistors whoseresistancechangeswith applied strain).<br />

At the start <strong>of</strong> the test, the balancing potentiometer is used to balance the bridge, giving 0Vat the<br />

voltmeter. Applying the test load will then cause the resistance <strong>of</strong> the strain gauge to change and<br />

unbalance the bridge again, producing avoltage output that is proportional to the applied strain.<br />

The actual strain can then be calculated. It is not uncommon to find situations where it is not<br />

possible tocalibrate the strain measurement system using aknown test load, for example, when<br />

gauging alarge structure such as avehicle body. In these cases it is possible toundertake an<br />

electrical calibration by placing ahigh resistanceinparallel to the active arm(s) <strong>of</strong> the bridge. This<br />

method is known as shunt calibration and assumes that the surface strain in the test component is<br />

fully transmitted to the strain gauge in which it produces alinear response. The fact that the active<br />

gauge itselfisnot apart <strong>of</strong> the calibration is clearly adrawback, however, providing sufficient care<br />

© 2006 by Taylor & Francis Group, LLC

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