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

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To solve the problem <strong>of</strong> the vibration <strong>of</strong> a rotor on hydrostatic<br />

bearings we need ýhe analytical dependence <strong>of</strong> forces on displacements<br />

<strong>and</strong> rates <strong>of</strong> displacements <strong>of</strong> the rotor pivot relative to the<br />

bearing.<br />

In hydraulic bearings the dependences <strong>of</strong> dimensionless forces<br />

on relative parameter, e, V 0 <strong>and</strong> v 0 are continuous functions <strong>and</strong><br />

can be approximated sufficiently well by power polynomials,<br />

Thus, function F (e) can be, for a certain range <strong>of</strong> relative<br />

rO<br />

velocity VO, approximated by an analytical dependence <strong>of</strong> the form<br />

Pro=azje(I +Pj8 2 +Vie4),<br />

where -a, I, -l-are coefficients which depend on the geometric<br />

dimenslons <strong>of</strong> the bearing <strong>and</strong> the relative rotational velocity VO.<br />

Fig. 3.87. Dependence <strong>of</strong> '8 2)E=g8=<br />

dimensionless force Fc on<br />

4) 6=0,8;VOg5<br />

pivot velocity v 0 .<br />

I7.4)E=L8;V=zo<br />

0,5-<br />

/<br />

4-<br />

*<br />

-• • , _.<br />

& o<br />

O' lo0.10o<br />

For practical analyses Fro(c) can be expressed by a simpler<br />

linear dependence<br />

356

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