UNSTEADY AERODYNAMICS, AEROACOUSTICS AND AEROELASTICITY OF TURBOMACHINES
This textbook is a collection of technical papers that were presented at the 10th International Symposium on Unsteady Aerodynamics, Aeroacoustics, and Aeroelasticity of Turbomachines held September 8-11, 2003 at Duke University in Durham, North Carolina.
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Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines Edited by
KENNETH C. HALL Duke University, Durham, North Carolina, U.S.A.
ROBERT E. KIELB Duke University, Durham, North Carolina, U.S.A.
and
JEFFREY P. THOMAS Duke University, Durham, North Carolina, U.S.A.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN-10 1-4020-4267-1 (HB) ISBN-13 978-1-4020-4267-6 (HB) Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands.
www.springer.com
Printed on acid-free paper
All Rights Reserved © 2006 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed in the Netherlands.
Contents
Preface
Part I
xi
Flutter
Flutter Boundaries for Pairs of Low Pressure Turbine Blades Roque Corral, Nélida Cerezal, and Cárlos Vasco Influence of a Vibration Amplitude Distribution on the Aerodynamic Stability of a Low-Pressure Turbine Sectored Vane Olga V. Chernysheva, Torsten H. Fransson, Robert E. Kielb, and John Barter A Method to Assess Flutter Stability of Complex Modes Andrea Arnone, Francesco Poli, and Claudia Schipani
3
17
31
Flutter Design of Low Pressure Turbine Blades with Cyclic Symmetric Modes Robert Kielb, John Barter, Olga Chernysheva and Torsten Fransson
41
Experimental and Numerical Investigation of 2D Palisade Flutter for the Harmonic Oscillations , Vladymir Tsimbalyuk, Anatoly Zinkovskii, Vitaly Gnesin Romuald Rzadkowski, Jacek Sokolowski
53
Possibility of Active Cascade Flutter Control with Smart Structure in Transonic Flow Condition Junichi Kazawa, and Toshinori Watanabe
65
vi Experimental Flutter Investigations of an Annular Compressor Cascade: Influence of Reduced Frequency on Stability Joachim Belz and Holger Hennings Part II
77
Forced Response
Unsteady Gust Response in the Frequency Domain A. Filippone
95
Axial Turbine Blade Vibrations Induced by the Stator Flow M. B. Schmitz, O. Schäfer, J. Szwedowicz, T. Secall-Wimmel, T. P. Sommer
107
Mistuning and Coupling Effects in Turbomachinery Bladings Gerhard Kahl
119
Evaluation of the Principle of Aerodynamic Superposition in Forced Response Calculations Stefan Schmitt, Dirk Nürnberger, Volker Carstens
133
Comparison of Models to Predict Low Engine Order Excitation in a High Pressure Turbine Stage Markus Jöcker, Alexandros Kessar, Torsten H. Fransson, Gerhard Kahl, Hans-Jürgen Rehder
145
Experimental Reduction of Transonic Fan Forced Response by IGV Flow Control S. Todd Bailie, Wing F. Ng, William W. Copenhaver
161
Part III Multistage Effects Unsteady Aerodynamic Work on Oscillating Annular Cascades in Counter Rotation M. Namba, K. Nanba
177
Structure of Unsteady Vortical Wakes behind Blades of Mutual
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