Phase II Final Report - NASA's Institute for Advanced Concepts

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Planetary Exploration Using Biomimetics An Entomopter for Flight on Mars 1.584 2 ht () 0 ⎛ ⎝ ω α01 + α11 ⋅ cos⎜ + φα1 αamp 4⋅ freq − 1.584 2 0 0.02 0.04 0.06 0.08 0 t 0.063 Figure 3-118: Flapping Motion ⎞ ⎠ ⎛ ⎝ 30 α01 + α11 ⋅ cos⎜ ω ⋅ + φα1 −αamp 100⋅ freq ⎞ ⎠ ⎛ ⎝ ⎞ ⎠ ω ⋅ 27.5 α01 + α11 ⋅ cos⎜ + φα1 0 100 ⋅ freq ( ) Coeff3 := Find α11, φα1 , α01 α12 ⋅ cos ⎛ ⎜ ⎝ ω ⋅ 3 4⋅ freq + φα2 ⎞ ⎠ −αamp α12 ⋅ cos ⎛ ⎜ ⎝ ω ⋅ 80 freq ⋅ 100 + φα2 ⎞ ⎠ αamp Coeff4 := Find( α12, φα2) 1 1 30 30 75 75 80 α1() t := if⎛ t≤ , 0, if⎛ t > ∧ t ≤ , Coeff3 0 , if⎛ t > ∧ t ≤ , 0, if⎛ t > ∧ t ≤ , Coeff4 0 , 0⎞⎞⎞⎞ ⎜ ⎜ ⎜ ⎜ ⎝ 4 ⋅ freq ⎝ 4 ⋅ freq 100 ⋅ freq ⎝ 100 ⋅ freq 100 ⋅ freq ⎝ 100⋅ freq 100 ⋅ freq ⎠⎠⎠⎠ α0() t := if⎛ ⎜ t≤ ⎝ 1 4 ⋅ freq 1 30 30 , αamp , if⎛ t > ∧ t ≤ , 0 if⎛ ⎜ , ⎜ t > ∧ t ≤ ⎝ 4 ⋅ freq 100 ⋅ freq ⎝ 100 ⋅ freq 75 100 ⋅ freq , −αamp , if⎜ t ⎛ 75 80 > ∧ t ≤ , 0, αamp ⎞ ⎞ ⎞ ⎞ ⎝ 100 ⋅ freq 100 ⋅ freq ⎠ ⎠ ⎠ ⎠ 130 Phase II Final Report
Chapter 3.0 Vehicle Design 3.3 Wing Aerodynamics 1 1 30 30 75 75 80 φα() t := if⎛ t≤ , 0, if⎛ t > ∧ t ≤ , Coeff3 1 , if⎛ t > ∧ t ≤ , 0, if⎛ t > ∧ t ≤ , Coeff4 1 , 0⎞⎞⎞⎞ ⎜ ⎜ ⎜ ⎜ ⎝ 4 ⋅ freq ⎝ 4 ⋅ freq 100 ⋅ freq ⎝ 100 ⋅ freq 100 ⋅ freq ⎝ 100⋅ freq 100 ⋅ freq ⎠⎠⎠⎠ ( ) α() t := α0() t + α1() t ⋅ cos ω ⋅ t + φα() t The pitching motion produced is shown in Figure 3-119. 0.14 0.2 α() t 0 − 0.14 0.2 0 0.02 0.04 0.06 0.08 0 t 0.063 Figure 3-119: Pitching Motion The planform shape of Entomopter wing was defined as a five-degree polynomial to evaluate chord in terms of span location, similarly five degree polynomials were formulated for leading edge and trailing edge locations. Chord as a function of span location is shown in Figure 3-120. φ := acos ( 0) , acos ( 0.05) .. acos ( 1.0) b() φ := ⎡ 6.9105⋅ ( cos () φ ) 5 − 19.883⋅ cos φ ⎢ ⎣ ( ()) 3 ( ()) 4 ( ()) 2 ( ()) + 21.551⋅ cos φ − 11.177⋅ cos φ + 2.3791⋅ cos φ + 0.3395 ... ⎤ ⎥⎦ ⋅ sspan 2 () := V 2 + ( cos () φ ⋅ ω ⋅ sspan ) 2 U φ rchord = 0.339 • sspan b1() φ := 2⋅ b() φ rchord xt() φ := ⎛ 1.9534⋅ cos () φ 5 − 7.7057⋅ cos () φ 4 ... ⎜ + 11.407⋅ cos φ − 7.7318⋅ cos φ + 1.9612⋅ cos φ + 0.1714 ⎝ ( () 3 () 2 () ⎞ ⎠ ⋅ sspan 131
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Planetary Exploration Using Biomime
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Table of Contents Table of Contents
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List of Tables List of Tables Table
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List of Figures List of Figures Fig
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List of Figures Figure 3-54: Pressu
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List of Figures Figure 3-138: Stere
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List of Figures Figure 4-24: Averag
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List of Contributors List of Contri
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Executive Summary Executive Summary
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Chapter 1.0 Introduction Chapter 1.
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Chapter 1.0 Introduction Figure 1-2
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Chapter 1.0 Introduction 1.1 Histor
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Chapter 1.0 Introduction 1.2 Origin
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Chapter 1.0 Introduction 1.3 Missio
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1.3.3.1 Surface Imaging The Entomop
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Chapter 2.0 Entomopter Configuratio
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Chapter 3.0 Vehicle Design 3.1 Wing
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Chapter 3.0 Vehicle Design 3.5 Fuel
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Chapter 3.0 Vehicle Design 3.6 Powe
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Chapter 4.0 Entomopter Flight Opera
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Chapter 5.0 Potential Payload Funct
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Chapter 6.0 Media Exposure 6.1 Intr
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Chapter 6.0 Media Exposure 6.3 Onli
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Chapter 6.0 Media Exposure 6.6 Spec
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Chapter 7.0 Conclusion Chapter 7.0
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Appendix A: Mars Atmosphere Data JP
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Appendix A: Mars Atmosphere Data Ge
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Appendix A: Mars Atmosphere Data Ge
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Appendix A: Mars Atmosphere Data Ma
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Appendix B: Sizing Results Appendix
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Appendix B: Sizing Results 30 Wing
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Appendix B: Sizing Results 16 Wing
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Appendix B: Sizing Results Length 0
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Appendix B: Sizing Results Lenght 0
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Appendix C: List of References Appe
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Appendix C: List of References 41.
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Phase II Final Report - NASA's Institute for Advanced Concepts

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