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Handbook of Turbomachinery Second Edition Revised - Ventech!

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Figure 44 Stall flutter <strong>of</strong> low-pressure rotating blades during low-load and highexhaust<br />

pressure operation.<br />

conducted by Omprakash et al. [84] for last-stage blading in a 3,600 rpm<br />

machine. The model developed is described along with the results <strong>of</strong> a<br />

particular analysis. They concluded that the bladed disk under analysis was<br />

not susceptible to flutter at loads <strong>of</strong> 50, 75, or 100% <strong>of</strong>f the design condenser<br />

back pressure <strong>of</strong> 5.08 kPa (1.5-in. Hg). However, at a higher back pressure<br />

<strong>of</strong> 10.16 kPa (3.0-in. Hg), the first tangential mode became aerodynamically<br />

unstable. A further increase in back pressure would make all the modes<br />

aerodynamically unstable.<br />

Flutter stability can be determined by the net power flow to the bladed<br />

disk at various amplitudes <strong>of</strong> vibration. Normal modes <strong>of</strong> vibration are<br />

calculated by a bladed disk modal analysis at the operating speed.<br />

Aerodynamic forces can be calculated from the pressure distribution<br />

derived from a separate two-dimensional cascade analysis using compressible<br />

inviscid flow for a range <strong>of</strong> flow angles corresponding to different<br />

operating conditions.<br />

Considerable effort has been spent analyzing and developing design<br />

methods to avoid stall flutter. Common testing methods include cascade,<br />

model, and/or full-scale testing. An alternative approach is to make the<br />

blade strong enough to resist the dynamic stresses resulting from stall<br />

flutter.<br />

Copyright © 2003 Marcel Dekker, Inc.

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