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ÊéÃûAIRCRAFT
AERODYNAMIC
DESIGN
GEOMETRY AND OPTIMIZATION
×÷ÕßAndr¡äas S¡äobester and Alexander I J Forrester
Faculty of Engineering and the Environment, University of Southampton, UK
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Contents
Series Preface xi
Preface xiii
1 Prologue 1
2 Geometry Parameterization: Philosophy and Practice 7
2.1 A Sense of Scale 7
2.1.1 Separating Shape and Scale 7
2.1.2 Nondimensional Coefficients 9
2.2 Parametric Geometries 11
2.2.1 Pre-Optimization Checks 13
2.3 What Makes a Good Parametric Geometry: Three Criteria 15
2.3.1 Conciseness 15
2.3.2 Robustness 16
2.3.3 Flexibility 16
2.4 A Parametric Fuselage: A Case Study in the Trade-Offs of
Geometry Optimization 18
2.4.1 Parametric Cross-Sections 18
2.4.2 Fuselage Cross-Section Optimization: An Illustrative Example 22
2.4.3 A Parametric Three-Dimensional Fuselage 27
2.5 A General Observation on the Nature of Fixed-Wing Aircraft Geometry
Modelling 29
2.6 Necessary Flexibility 30
2.7 The Place of a Parametric Geometry in the Design Process 31
2.7.1 Optimization: A Hierarchy of Objective Functions 31
2.7.2 Competing Objectives 32
2.7.3 Optimization Method Selection 35
2.7.4 Inverse Design 37
3 Curves 41
3.1 Conics and B¡äezier Curves 41
3.1.1 Projective Geometry Construction of Conics 42
3.1.2 Parametric Bernstein Conic 43¡ï¡ï¡ï¡ï¡ï¡ï2014Êé¼®³¬¼¶Ìû°ËËÄÆß¡¶·ÉÐÐÆ÷¶¯Á¦Éè¼ÆÓ뼸ºÎÓÅ»¯¡·2014wiley×îÐÂÊé¼®
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