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Handbook of Turbomachinery Second Edition Revised - Ventech!

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forcing and damping, and hence the blade stress levels at these crossing-over<br />

points. Given that a component fatigue cycle life span is inversely related to<br />

alternating stress levels, high cycle fatigue has to be an important blading<br />

design aspect, if blades are to be designed to last for a required life span to<br />

give an optimum economic benefit (e.g., in terms <strong>of</strong> manufacture as well as<br />

maintenance costs) and reliability.<br />

The aerodynamic sources <strong>of</strong> excitation (forcing) are those nonuniformities<br />

due to blade wakes, pressure waves, and inlet/exit distortions. On the<br />

aerodynamic side, there are two essential parts required for predicting a<br />

blade stress level in a forced response problem:<br />

1. Unsteady aerodynamic forces on blades generated by relative<br />

motions <strong>of</strong> adjacent blade rows and/or circumferential distortions<br />

2. Aerodynamic damping, effectively the unsteady aerodynamic<br />

forces induced by vibration <strong>of</strong> a blade once excited<br />

Predictions <strong>of</strong> unsteady forcing/excitation as well as blade aerodynamic<br />

damping with adequate accuracies are challenging tasks. In the past they<br />

were largely avoided by adopting empirical design rules based on<br />

experiences. But this situation with regard to blade forced response is<br />

about to change. Currently, there are active developments in using advanced<br />

unsteady flow methods to improve the capability for forcing and damping<br />

prediction, as required for current and future high-load blading designs.<br />

There are some basic aeromechanical considerations in designs. The<br />

main objective here is, <strong>of</strong> course, to reduce or sustain unsteady forcing,<br />

when steady aero loading is increased. It has been shown that the main<br />

contributor to unsteady forces in compressors is the incidence variation,<br />

while the velocity variation in wakes is mainly responsible for forcing in<br />

turbines [10]. The 3D blading with radially leaned blades is widely used in<br />

designs. Although the leaned blading may well be chosen to reduce<br />

aerodynamic losses from a steady flow point <strong>of</strong> view, it does have a lower<br />

unsteady loading compared to a radially straight one, since a wake shed<br />

from an upstream blade with radial staking will not hit different radial<br />

sections <strong>of</strong> a downstream blade at the same time (a simple example <strong>of</strong> 3D<br />

relief <strong>of</strong> unsteady loading). Given that 3D blading designs are currently<br />

exploited for benefits in aerodynamic performances, it is equally (if not<br />

more) important that such 3D aerodynamic designs are aero-mechanically<br />

sound.<br />

Copyright © 2003 Marcel Dekker, Inc.

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