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

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I<br />

I k i =<br />

Ib the projections <strong>of</strong> displacement r <strong>and</strong> forward pivot vel.ocity<br />

v onto the axes <strong>of</strong> a recta..gular udre system <strong>of</strong> coordinates designated<br />

x, , ,•d<br />

y ten heprojections <strong>of</strong> forces PI F2 <strong>and</strong>. 3°tZi<br />

the same axes, with allowance for the directions <strong>of</strong> the forces, are<br />

F 1 ., - kzx F 2 •=-- k~ y; Fa.= -- '~1 }J<br />

Vibrations <strong>of</strong> a symmetric rotor. i o<br />

Y|<br />

Let us study a rotor as a weightless shaft with ant unbalancsed<br />

disk in the center <strong>of</strong> the span. A diagram <strong>of</strong> such a rotor <strong>and</strong> the<br />

AA<br />

system <strong>of</strong> coordinates used are shown in . .i. 3.88.<br />

a<br />

I<br />

centrgo the8 m igasso the dis (cm);r:• roto<br />

Fig.e 3.88.e Diagra <strong>of</strong> dsycm);L ah<br />

rot 0 re inthled pr ons f<br />

oare intaled poeton so<br />

th e d ipcmntr <strong>of</strong>uc the piotlo cente 398 reigatives to tshe bernc ente or<br />

dislcmntroduc Whe<br />

the fiollocing d e e lgative 0o isthe baigcenter <strong>of</strong><br />

the) beyarin;01i the prjceinte <strong>of</strong> the rotorpivomet; <strong>of</strong>i the geometric<br />

center <strong>of</strong> the disk; 0eatv is the center <strong>of</strong> ms fthe disk;ing m); is<br />

cetro y h aso x0, h ik(cm); are the tedslcmnso projections <strong>of</strong> h emti<br />

center <strong>of</strong> the disk relative to the center <strong>of</strong>,. the bearin~g (cm);<br />

398

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