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

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

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~t<br />

<strong>The</strong> coefficients <strong>of</strong> hydraulic friction in. the lslots along the<br />

connectors between the chambers has been determined from formula<br />

4<br />

"'2'<br />

I<br />

!<br />

where A is the height <strong>of</strong> the projections on the surface <strong>of</strong> the<br />

bearing;<br />

X1, l is calculated similarly to Xi," +l. .<br />

<strong>The</strong> coefficients <strong>of</strong> flow rate through the end slots have been<br />

calculated from formula<br />

where<br />

? V. 2.3 + ti<br />

1 - 4<br />

26+5,1 Ig Z. 2<br />

<strong>The</strong> problem <strong>of</strong> finding the forces in a hydrostateic Pearing<br />

will be solved if we find the relative pressurest in the bearing<br />

chambers hi. To find N <strong>of</strong> unknown hi we can set up for each chamber<br />

an equation in the form <strong>of</strong> (3.148) <strong>and</strong> obtain a system <strong>of</strong> N equatiohs:<br />

A/I,._,+ Bah 1+C 4 1i'i7 ly + -h- ±Eih }+Q<br />

(i,2, . .. ,N). (3.149)<br />

<strong>The</strong> radicals signs in the system <strong>of</strong> equatidns (3.149) are<br />

determined..by the signs <strong>of</strong> the radic<strong>and</strong>s. For unknown h! the<br />

relationship hi+N = hi, i.e., h0 = hN, hNIl = hl, is valid.<br />

<strong>The</strong> system <strong>of</strong> equatic.is (3.149) should be solved by the method<br />

<strong>of</strong> successive approximations (Newton's methoa,,. Ih the zero<br />

392

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