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Static and Dynamic Response of a Design of Differential ... - aerade

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Effect <strong>of</strong> inaccurate pressure hole location<br />

In the manufacture <strong>of</strong> these instruments, evenwhen the pressure<br />

holes are Jig-bored, there will inevitably be small location errors,<br />

which, if allowance is not made for them, can introduce errors into the<br />

incidence <strong>and</strong> roll angle measurements. Providing the manufacturing<br />

errors are knovm it is possible to correct the indicated quantities<br />

accordingly.<br />

There are two results <strong>of</strong> inaccurate location. The joins <strong>of</strong> each<br />

pair <strong>of</strong> holes may not be mutually perpendicular, end their intersection,<br />

hereafter referred to as the virtual centre, may not be on the yawmeter<br />

axis. The angular errors are assumed to be less than half a degree, so<br />

that the errors from the first source, being <strong>of</strong> second order, may be<br />

neglected. The second introduces a small misalignment error, as a<br />

$3<br />

a roll angle, 6<br />

E'<br />

(not necessarily small) relative to a datum fixed in<br />

instrument (fig.21). Denoting the angles between the yawmeter axis arCI<br />

the radii through the separate holes by 8D,, Cl02 etc, then, to first<br />

order, we have that the virtual centre is removed from the axis a distance<br />

eoj12 + (e, - eo212 1 Rsr(oo,<br />

-<br />

- 2.<br />

+ 2

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