8 8 8 1 6 8 4. 4/ 1 5 2 0. 1 OI: D g | or a. a ai c. ar p:// htt 3 | 1 0 2 4, e n u n J o A R O O D N U B V NI U T MI R y b d e d a o nl w o D Gust Loads on Aircraft: Concepts and Applications 8 8 8 1 6 8 4. 4/ Frederic M. Hoblit 1 25 Consultant 0. 1 DOI: Formerly, g | Senior Research and Development Engineer or a. Lockheed-California Company a ai c. ar p:// htt 3 | 1 0 2 4, e n AIAA EDUCATION SERIES u n J J. S. Przemieniecki o A R Series Editor-in-Chief O O Air Force Institute of Technology D UN Wright-Patterson Air Force Base, Ohio B V NI U T MI R y b d e d oa This volume was sponsored by the Lockheed Aeronautical nl w Systems Company and was originally published in whole as a o D Lockheed Report Published by American Institute of Aeronautics and Astronautics, Inc. 370 L'Enfant Promenade, S.W., Washington, D.C. 20024 Texts Published in the AIAA Education Series Re-Entry Vehicle Dynamics Frank J. Regan, 1984 Aerothermodynamics of Gas Turbine and Rocket Propulsion Gordon C. Gates, 1984 Aerothermodynamics of Aircraft Engine Components Gordon C. Gates, Editor, 1985 Fundamentals of Aircraft Combat Survivability Analysis and Design Robert E. Ball, 1985 8 Intake Aerodynamics 8 8 1 J. Seddon and E. L. Goldsmith, 1985 6 8 4. Composite Materials for Aircraft Structures 4/ 1 Brian C. Hoskin and Alan A. Baker, Editors, 1986 5 0.2 Gasdynamics: Theory and Applications 1 OI: George Emanuel, 1986 D Aircraft Engine Design org | Jack D. Mattingly, William Reiser, and Daniel H. Daley, 1987 aa. An Introduction to the Mathematics and Methods of Astrodynamics c.ai Richard H. Battin, 1987 p://ar Radar Electronic Warfare htt August Golden Jr., 1988 3 | Advanced Classical Thermodynamics 1 20 George Emanuel, 1988 e 4, Aerothermodynamics of Gas Turbine and Rocket Propulsion, Revised and Enlarged n n Ju Gordon C. Gates, 1988 o Re-Entry Aerodynamics A R Wilbur L. Hankey, 1988 O O Mechanical Reliability: Theory, Models and Applications D N B. S. Dhillon, 1988 U B Aircraft Landing Gear Design: Principles and Practices V NI Norman S. Currey, 1988 U MIT American Institute of Aeronautics and Astronautics, Inc., Washington, DC R y b Library of Congress Cataloging-in-Publication Data d e d oa Hoblit, Frederic M. nl Gust loads on aircraft: concepts and applications w o D p. cm.—(AIAA education series) Bibliography: p. Includes index. 1. Airplanes—Design and construction. 2. Gust loads. I. Title. II. Series. TL671.2.H58 1988 629.132'3—dc!9 88-8146 CIP ISBN 0-930403-45-2 Copyright © 1988 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. Printed in the United States of America. No part of this publication may be reproduced, distributed, or transmitted, in any form or by any means, or stored in a data base or retrieval system, without prior written permission of the publisher. 8 8 8 1 6 8 4. 4/ 1 5 2 0. 1 OI: D g | or a. a ai c. ar p:// htt 3 | To My Lockheed Mentors, 1 0 4, 2 Melcon A. Melcon, Jack Wignot, and Warren Stauffer e n u n J o A R O O D N U B V NI U T MI R y b d e d a o nl w o D This page intentionally left blank 8 8 8 1 6 8 4. 4/ 1 5 2 0. 1 OI: D g | or a. a ai c. ar p:// htt 3 | 1 0 2 4, e n u n J o A R O O D N U B V NI U T MI R y b d e d a o nl w o D FOREWORD One of the objectives of the AIAA Education Series is to provide archival 8 documentation of the established practices in aircraft design. Gust Loads on 8 18 Aircraft: Concepts and Applications by Frederic M. Hoblit is in this special 6 4.8 category; it provides an authoritative exposition of the current engineering 14/ practice of determining gust loads on airplanes, especially the continuous- 5 0.2 turbulence gust loads. 1 OI: The author begins with the older concept of discrete-gust idealization of D the gust structure, including the subject of static and dynamic discrete-gust org | loads, and then moves on to the more modern power-spectral, or continu- aa. ous-turbulence, concepts and methods. This newer approach has gained ai c. wide acceptance and is being used today as the primary method of ar p:// determining the dynamic loads due to gust encounters that are subse- htt quently used to verify structural integrity of the airplane. 13 | Because of the relative unfamiliarity of an average reader with the 0 2 4, power-spectral methods, all the necessary mathematical concepts and meth- ne ods are provided in the text. The continuous-turbulence gust loads criteria u n J are discussed with reference to Federal Aviation Authority requirements o A and military specifications. This is followed by a detailed discussion of R O loads combination and design criteria, gust-response equations of motion, O ND various short-cut methods, spanwise variation of vertical gust velocity, BU treatment of nonlinear systems, and analysis of gust-response flight-test NIV data. The final chapter addresses the overall philosophy of discrete-gust U concepts and their present applications. T MI This latest text in the AIAA Education Series provides a unique source R y of the design criteria and analysis of aircraft in turbulent air. It should be b d useful as a reference material for structural-loads engineers and as a e d a supplementary text for courses in aeroelasticity, flight mechanics, and flight o wnl controls. o D J. S. PRZEMIENIECKI Editor-in-Chief AIAA Education Series This page intentionally left blank 8 8 8 1 6 8 4. 4/ 1 5 2 0. 1 OI: D g | or a. a ai c. ar p:// htt 3 | 1 0 2 4, e n u n J o A R O O D N U B V NI U T MI R y b d e d a o nl w o D TABLE OF CONTENTS 8 8 8 1 6 4.8 xi Preface 4/ 1 5 2 10. 1 Chapter 1. Gust Loads Fundamentals OI: 1.1 Mechanism of Gust Loads Generation D g | 1.2 Characteristics of Turbulence or a. a c.ai 7 Chapter 2. Discrete-Gust Static Loads ar p:// 2.1 One-Minus-Cosine Idealization htt 2.2 FAR Static Gust Requirement 3 | 2.3 FAR Gust Loads Formula 1 0 2 2.4 History of FAR Static Gust Requirements 4, e 2.5 Effect of Static Aeroelastic Deformation on C ^ n L u n J 2.6 Corresponding Military Requirements o A R OO 15 Chapter 3. Discrete-Gust Dynamic Loads D N 3.1 Definition U B 3.2 When, Where, and Why Considered V NI 3.3 Ingredients of the Discrete-Gust Dynamic Loads T U Differential Equations MI 3.4 Sample Results R y 3.5 Criteria Considerations b d e d a nlo 21 Chapter 4. Basic PSD Concepts and Application to Gust Loads w o 4.1 Gust Profile as a Stationary Gaussian Random Process D 4.2 Measure of Intensity: RMS Value of y 4.3 Probability Distribution 4.4 Frequency Content and Power-Spectral Density (PSD) 4.5 Gust PSD for Use in Design 4.6 Frequency of Exceedance 4.7 Application of Frequency of Exceedance to Gust Loads 4.8 Determination of P's and b's from Flight Data 4.9 Relation Between Frequency of Exceedance and Probability of Exceedance Problems 69 Chapter 5. Continuous Turbulence Gust Loads Criteria 5.1 FAR Requirements 5.2 Military Requirements 5.3 Basic Forms of Criterion 5.4 Design Levels 5.5 Flight Profile Generation 5.6 Modification of Design Envelope Criterion to Account for NQ 5.7 Combined Vertical and Lateral Gust Loads 5.8 Stability Augmentation or Active Control System (ACS) 8 8 8 1 6 4.8 97 Chapter 6. Load Combinations and Design Conditions 14/ 6.1 The Phasing Problem 5 0.2 6.2 Loads for Stress Analysis 1 OI: D g | 115 Chapter 7. Gust Response Equations of Motion: Formulation a.or and Solution a ai 7.1 Generalized Coordinates c. http://ar 77..23 GBarisdic SDyastteams 3 | 7.4 Use of Matrices and Matrix Algebra 1 20 7.5 Loads as Functions of Generalized Coordinate Response e 4, 7.6 Solution for Frequency-Response Functions n n Ju 7.7 Inclusion of an Active Control System o 7.8 Computation of A, N , and p A G R 7.9 Checks for Error O O D N BU 123 Chapter 8. Short-Cut Methods NIV 8.1 Plunge-Only Curves U 8.2 Plunge-Pitch Curves: Hoblit Parameters T MI 8.3 Plunge-Pitch Curves: Peele Parameters R y 8.4 Qualitative Relations Between Peele and 1/(1 +2nk) Lift b d Growth Assumptions and Definition of an Effective c for e d a Use in Sees. 8.1.1 and 8.2 o wnl 8.5 Use of Plunge-Pitch Curves to Give Plunge-Only Data o D 8.6 Use of Simplified Equations of Motion 8.7 Empirical Adjustments Problems 165 Chapter 9. Spanwise Variation of Vertical Gust Velocity 9.1 Introduction 9.2 Applications of Three-Dimensional Gust Analysis 9.3 Effect of Three-Dimensional Gust Analysis on Loads 9.4 Effect of L on Three-Dimensional Gust Response 169 Chapter 10. Treatment of Nonlinear Systems 10.1 Sources of Nonlinearities 10.2 Use of Time-History Analysis 10.3 Simplifications Made 10.4 Gust Velocity Time History 10.5 Interpretation of Results 173 Chapter 11. Analysis of Gust-Response Flight-Test Data 8 11.1 Purpose of Gust-Response Flight Testing 8 8 1 11.2 Basic Approach 6 8 4. 11.3 Selection of Samples for Analysis 4/ 51 11.4 Gust Velocity Determination 2 0. 11.5 UseofPSD's 1 OI: 11.6 PSD Determination: Parameter Selection g | D 11.7 Other Considerations in PSD Determination or 11.8 Effects of Computing Options on PSD's and a. aia Frequency-Response Functions c. ar p:// htt 187 Chapter 12. Adequacy of the Stationary-Gaussian Idealization of 13 | the Gust Structure 0 4, 2 12.1 Evidence of Possible Inadequacies in the ne Stationary-Gaussian Model u n J 12.2 Non-Gaussian Turbulence vs Nonstationary Turbulence o A 12.3 Evaluation of the Adequacy of the Stationary-Gaussian R O Model O D 12.4 Other Models N U B V NI U 197 Chapter 13. Present Place of Discrete-Gust Load Requirements MIT 13.1 Nature of Atmospheric Turbulence R 13.2 Tuned Discrete-Gust Analysis y d b 13.3 Static Discrete-Gust Loads e d 13.4 Computational Considerations a o nl w o D 203 Appendix A: Plunge-Only Equation of Motion for an Airplane Encountering a One-Minus-Cosine Vertical Gust 209 Appendix B: Elementary Introduction to Some Concepts in Probability Theory and Statistics B.I Probability of a Single Event B.2 Some Basic Rules of Probability B.3 Probability Distribution B.4 Frequency of Exceedance
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