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Introduction to Sports Biomechanics: Analysing Human Movement ...

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INTRODUCTION TO SPORTS BIOMECHANICS<br />

210<br />

Data processing<br />

for the force plate itself. Calibration of the amplifier output as a function of force input<br />

will usually be set by the manufacturers and may require periodic checking. The vertical<br />

channel is easily calibrated under static loading conditions by use of known weights.<br />

If these are applied at different points across the plate surface, the variability of the<br />

recorded force with its point of application can also be checked. The horizontal<br />

channels can also be statically calibrated, although not so easily. One method of doing<br />

this involves attaching a cable <strong>to</strong> the plate surface, passing the cable over a frictionless<br />

air pulley at the level of the plate surface, and adding weights <strong>to</strong> the free end of the<br />

cable. Obviously this cannot be done while the plate is installed in the ground flush<br />

with the surrounding surface. There appears <strong>to</strong> be little guidance provided <strong>to</strong> users on<br />

the need for, or regularity of, dynamic calibration checks on force plates. The tendency<br />

of piezoelectric transducers <strong>to</strong> drift may mean that zero corrections are required and<br />

strain gauge plates may need more frequent calibration checks than do piezoelectric<br />

ones.<br />

Crosstalk can be checked by recording the outputs from the two horizontal channels<br />

when only a vertical force, such as a weight, is applied <strong>to</strong> the plate. A similar procedure<br />

can be used for assessing crosstalk on the vertical channel if horizontal forces can be<br />

applied. Positions of the point of force application can be checked by placing weights<br />

on the plate at various positions and comparing these with centre of pressure positions<br />

calculated from the outputs from the individual vertical force transducers. As errors in<br />

these calculations are problematic when small forces are being recorded, small as well as<br />

large weights should be included in such checks. Finally, the natural frequency can<br />

be checked by lightly striking the plate with a metal object and using an oscilloscope<br />

<strong>to</strong> show the ringing of the plate at its natural frequency. This should be carried out, of<br />

course, in the location in which the plate is <strong>to</strong> be used.<br />

Processing of force plate signals is relatively simple and accurate, compared with<br />

most data in sports biomechanics. The example data of Figure 5.25 were obtained from<br />

a standing broad (long) jump. The three mutually perpendicular (orthogonal) components<br />

of the ground contact force (Figures 5.20 and 5.25(a)) are easily obtained by<br />

summing the outputs of individual transducers. As the plate provides whole body<br />

measurements, these forces (F) can be easily converted <strong>to</strong> the three components<br />

of centre of mass acceleration (a) simply by dividing by the mass of the performer<br />

(F = m a, Figure 5.25(b)), after subtracting the performer’s weight from the vertical<br />

force component. The coordinates of the point of application of the force, the centre<br />

of pressure (Figure 5.25(c)), on the plate working surface can also be calculated.<br />

The accuracy of the centre of pressure calculations in particular depends on careful<br />

calibration of the force plate; this accuracy deteriorates at the beginning and end of any<br />

contact phase, when the calculation of centre of pressure involves the division of small<br />

forces by other small forces.<br />

The moment of the ground contact force about the vertical axis perpendicular <strong>to</strong> the

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