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Handbook of Turbomachinery Second Edition Revised - Ventech!

Handbook of Turbomachinery Second Edition Revised - Ventech!

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earing supports are reduced. The third critical speed is no longer a pure<br />

bending mode since the forward bearing possesses a significant percentage <strong>of</strong><br />

the total strain energy.<br />

A single overhung configuration, as discussed here, has a packaging<br />

advantage in that it allows both bearings to reside in a single sump;<br />

however, this design configuration presents several rotordynamic challenges.<br />

For comparable support stiffness, external damping, and mass eccentricity,<br />

overhung disks will have larger response at the ‘‘cylindrical’’ mode than a<br />

straddle-mounted configuration. Larger response at the disks increases the<br />

probability <strong>of</strong> encountering nonlinear behavior, possibly resulting in rotor<br />

instability. The unbalance response at the ‘‘conical’’ mode will be very<br />

sensitive to an out-<strong>of</strong>-phase unbalance distribution <strong>of</strong> the disks.<br />

Bearing Mount Considerations<br />

Several factors should be considered if a bearing outer ring is ‘‘hardmounted’’<br />

to the bearing support structure:<br />

1. The bearing internal clearance must be properly accounted for in<br />

any unbalance response calculations by using the secant stiffness<br />

<strong>of</strong> the bearing’s nonlinear load-deflection relationship [6].<br />

2. Between rest speed and approximately 50% <strong>of</strong> the critical speed,<br />

the dynamic magnification is small and the bearing load is almost<br />

equal to the mass unbalance force ðmeo 2 Þ.<br />

3. The motion <strong>of</strong> the bearing support structure will essentially be the<br />

same as the rotor whirl at that location.<br />

A s<strong>of</strong>t connection between the rotor and the bearing support structure<br />

allows the rotor to whirl about its mass center without imparting that<br />

motion to the support structure and case. Reducing the transmissibility<br />

via a s<strong>of</strong>t rotor–structure interface, e.g., a squeeze film damper, can thus<br />

effectively isolate the structure from the rotor motion.<br />

Blade-Out<br />

Most turbomachinery must be designed to shut down safely in the event <strong>of</strong><br />

failure/loss <strong>of</strong> an entire blade. For a propulsion engine, a safe shutdown<br />

implies that an engine blade-out unbalance response does not adversely<br />

affect the aircraft other than the loss <strong>of</strong> the engine’s thrust. The engine<br />

mounts must not fail and damage to the rotating and static components<br />

must not result in a fire. To maintain rotordynamic integrity, sufficient axial<br />

clamp-load must be maintained on the rotating components to overcome<br />

Copyright © 2003 Marcel Dekker, Inc.

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