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Handbook of Turbomachinery Second Edition Revised - Ventech!

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Table 3(a) Steps in a Three-Dimensional Thermal Analysis<br />

Step 1 Step 2 Step 3 Step 4<br />

Obtain CAD<br />

model<br />

Generate 3D mesh<br />

using<br />

appropriate<br />

mesher (Note:<br />

The mesh<br />

should be fine<br />

enough to suit<br />

the<br />

requirements <strong>of</strong><br />

stress and<br />

vibration<br />

analyses to<br />

follow.)<br />

Apply appropriate<br />

transient<br />

boundary<br />

conditions (Use<br />

worst BCs<br />

applicable<br />

during cyclic<br />

operation)<br />

Perform transient<br />

thermal analysis<br />

& determine<br />

worst<br />

temperature<br />

gradient and<br />

regions <strong>of</strong> max.<br />

temp. for stress<br />

analysis<br />

may result in changing the airfoil count or the struts in the system so that<br />

excitation is avoided at critical operating speeds. The results <strong>of</strong> vibration<br />

analysis permit the generation <strong>of</strong> a Campbell diagram (Fig. 15), which<br />

portrays the natural frequencies <strong>of</strong> the blade as a function <strong>of</strong> speed (rpm or<br />

percent <strong>of</strong> maximum). Centrifugal forces tend to raise the natural<br />

frequencies while increasing temperatures tend to reduce them due to<br />

Table 3(b) Steps in a Three-Dimensional Stress and Vibration Analysis<br />

Step 1 Step 2 Step 3 Step 4<br />

Refine mesh used<br />

for thermal<br />

analysis if<br />

necessary, to<br />

suit<br />

requirements<br />

for stress and<br />

vibration<br />

analyses.<br />

Copyright © 2003 Marcel Dekker, Inc.<br />

Interpolate from<br />

results <strong>of</strong><br />

thermal analysis<br />

to impose<br />

temperatures at<br />

all points on<br />

newly generated<br />

mesh.<br />

Apply appropriate<br />

BCs applicable<br />

to stress<br />

analysis.<br />

Include body<br />

forces as<br />

necessary and<br />

perform stress<br />

analysis.<br />

Determine<br />

worst stress<br />

location.<br />

Generate modal<br />

shapes and<br />

perform<br />

vibration<br />

analysis by<br />

using the same<br />

mesh.

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