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Design and Stress Analysis of Extraterrestrial ... - The Black Vault

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I -I S89. 10<br />

,413(0.142)406<br />

1,4.1o-• 8 )107571.1<br />

hence<br />

(aci= 286 0 rad/s<br />

Blade Vibration frequency is<br />

fc]= -- 2n =456 vib/s<br />

<strong>The</strong> effect <strong>of</strong> revolution on the natural<br />

frequency <strong>of</strong> a blade<br />

In practice the frequency <strong>of</strong> natural vibrations in a rotating<br />

blade is determined according to the frequency <strong>of</strong> a nonrotating<br />

blade with a correction for rotation.<br />

in<br />

As has already been mentioned in<br />

the stress analysis <strong>of</strong> a blade<br />

a 1votating blade under the action <strong>of</strong> centrifugal forces moment<br />

appears which strives to straighten the bent blade during its<br />

vibration<br />

(see Fig. 3.20). This is equivalent to ztiffening a blade, due<br />

to which the natural frequency <strong>of</strong> a rotating blade increases.<br />

Particularly strong is<br />

the effect <strong>of</strong> centrifugal loifces on the<br />

lowest natural frequency (corresponding to th-.<br />

'Lrst jending form).<br />

<strong>The</strong> effect on the other frequencies is less substantial. <strong>The</strong>refore,<br />

it is <strong>of</strong> interest to calculate this lowest natural. frequency with<br />

the effect <strong>of</strong> centrifugal forces taken into account.<br />

LA ad/cen (1)<br />

Fig. 3.28. <strong>The</strong> dependence <strong>of</strong><br />

the natural frequency <strong>of</strong> a blade<br />

on the angular velocity <strong>of</strong><br />

rotc: rotation.<br />

KEY: (1) rad/s.<br />

we<br />

279<br />

0 Wm9x t pad/cem

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