Modern Flexible Multi-Body Dynamics Modeling Methodology for Flapping Wing Vehicles

Author: Altenbuchner   Cornelia;Hubbard   James E   Jr.  

Publisher: Elsevier Science‎

Publication year: 2017

E-ISBN: 9780128141373

P-ISBN(Paperback): 9780128141366

Subject: V211.41 aerodynamics of wing

Keyword: 航空,Energy technology & engineering,航空、航天

Language: ENG

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Description

Modern Flexible Multi-Body Dynamics Modeling Methodology for Flapping Wing Vehicles presents research on the implementation of a flexible multi-body dynamic representation of a flapping wing ornithopter that considers aero-elasticity. This effort brings advances in the understanding of flapping wing flight physics and dynamics that ultimately leads to an improvement in the performance of such flight vehicles, thus reaching their high performance potential. In using this model, it is necessary to reduce body accelerations and forces of an ornithopter vehicle, as well as to improve the aerodynamic performance and enhance flight kinematics and forces which are the design optimization objectives.

This book is a useful reference for postgraduates in mechanical engineering and related areas, as well as researchers in the field of multibody dynamics.

  • Uses Lagrange equations of motion in terms of a generalized coordinate vector of the rigid and flexible bodies in order to model the flexible multi-body system
  • Provides flight verification data and flight physics of highly flexible ornithoptic vehicles
  • Includes an online companion site with files/codes used in application examples

Chapter

LIST OF FIGURES

LIST OF TABLES

LIST OF NOMENCLATURE

ROMAN SYMBOLS

CAPITAL ROMAN SYMBOLS

GREEK SYMBOLS

SUPERSCRIPTS AND SUBSCRIPTS

ACRONYMS

ACKNOWLEDGMENTS

SUMMARY

One - Bioinspired Flight Robotics Systems

1.1 INTRODUCTION OF THIS BODY OF WORK

1.2 THE BACKGROUND OF FLAPPING WING FLIGHT TECHNOLOGY

1.2.1 Aerial Vehicles and Natural Flapping Wing Flyers

1.3 A MODEL OF AN ORNITHOPTER FOR PERFORMANCE OPTIMIZATION

1.3.1 Desired Improvements in Flight Platforms

1.3.2 Background and Flapping Wing Flight Aerodynamics

1.3.2.1 Motion Profile and Wing Gates

1.3.2.2 Wing Flexibility

1.3.2.3 Wing Geometry

1.4 HISTORICAL CONSIDERATIONS FOR BIOINSPIRED FLAPPING WINGS AVIAN FLIGHT AND ROBOTICS

1.5 OBJECTIVES IN THE DEVELOPMENT OF FLEXIBLE MULTI-BODY DYNAMICS THE MODELING METHODOLOGY DESCRIBED IN THIS BODY OF WORK

REFERENCES

Two - Flexible Multi-Body Dynamics Modeling Methodology's for Flapping Wing Vehicles

2.1 CLASSIC MODELING METHODOLOGY'S

2.1.1 The Classification of Flexible Multi-Body Systems

2.1.2 Flexible Multi-Body Dynamics Modeling

2.1.3 The Implementation in Available Code and Software

2.1.4 The Vehicle Dynamics Modeling of Ornithopter

2.1.5 An Aeroelastic Analysis of Flapping Wing Vehicles

2.1.6 Related Avian Scale Aerodynamics and Models

2.2 MODERN MODELING METHODOLOGY

REFERENCES

Three - Bioinspired Flapping Wing Test Platform Used to Implement Modern Modeling Methodology

3.1 DETAILS OF THE TEST PLATFORM

3.2 EXPERIMENTAL DATA SETS OF BIOINSPIRED FLAPING WING ROBOTIC SYSTEM FOR MODEL VERIFICATION

3.2.1 The Clamped Test Experiment—E1

3.2.1.1 Results of Experiment and Integrated Forces—E1

3.2.1.2 Wing Kinematics—E-1

3.2.2 The System-ID Experiment—E1-I

3.2.2.1 Integrated Aerodynamic Force—E1-I

3.2.3 Free-Flight Experiment—E2

3.2.3.1 Results for Wing Kinematics—E-2

3.2.3.1.1 Total Forces—E2

3.2.4 Vacuum Camber Experiment—E3

3.2.4.1 Integrated Inertial Forces—E3

REFERENCES

Four - Flexible Multi-Body Dynamics Modeling Methodology Implementation Avian Scale Flapping Wing Flyer

4.1 LINEAR ELASTIC MULTI-BODY SYSTEMS

4.1.1 A Floating Frame of Reference Formulation

4.2 THE FIVE-BODY MULTI-BODY DYNAMICS MODEL

4.3 RELEVANT COORDINATE SYSTEMS

4.4 AN UNDERLYING ARTICULATED RIGID-BODY MODEL

4.4.1 The Kinematic Relations

4.4.1.1 Angular Velocity

4.4.1.2 Linear Velocity

4.5 LAGRANGE FORMULATION OF EQUATIONS OF MOTION

4.5.1 Kinetic Energy Formulation

4.5.2 Potential Energy Formulation

4.5.3 The Position Vector and Rigid-Body Equations of Motion

4.5.4 The Position Vector and Flexible Body Equations of Motion

4.5.5 The Use of Modal Superposition

4.6 FORMULATION OF FIVE-BODY FLEXIBLE MULTI-BODY DYNAMICS MODEL

4.6.1 The Model Generalized Coordinate Vector

4.6.2 Position Vector in the Model

4.6.3 Velocity in the Model

4.6.4 Model Orientation

4.6.5 Angular Velocity

4.6.6 Inertia Invariants in Mass Matrix

4.6.7 The Craig–Brampton Method

4.6.8 A Modal Synthesis Method and Mode Shape Orthonormalization

4.7 STRUCTURAL DYNAMICS MODEL OF THE WINGS

4.7.1 Model Implementation—Mode Neutral File

REFERENCES

Five - Aerodynamics Modeling for Flexible Multi-Body Dynamics Modeling Methodology Implementation Avian Scale Flapp ...

5.1 THE AERODYNAMIC MODEL VERSIONS FORMULATED

5.2 AERO-MODEL A

5.3 AERO-MODEL B/C

5.3.1 Aerodynamic Model

5.3.2 Aero-Load Blade Element Identification

5.4 THE AERODYNAMIC MODEL IMPLEMENTATION

5.4.1 Distributed Aerodynamic Loads

5.5 THE GLOBAL RESULTING FORCES AND MOMENTS

5.5.1 Generalized Force Definition

5.5.2 Generalized Moment Definition

5.5.3 Generalized Modal Force Definition

REFERENCES

Six - Results of the Modeling Methodology Implementation and Flight Simulation

6.1 MODELING ASSUMPTIONS VERIFICATION AND WING FLEXIBILITY

6.1.1 Coordinate Variations

6.1.1.1 Zero Deflection Reference Plane

6.1.1.2 Quantification Wing Flexibility

6.1.2 Large Global Deformations

6.1.3 Wing Fixed Reference Frames

6.1.4 Leading Edge Spar Flexibility

6.2 MODEL RESULTS

6.3 CONSTRAINT MODEL VERIFICATION

6.3.1 Integrated Forces of the Avian Flight Robotic System

6.3.2 Wing Tip Kinematics

6.4 UNCONSTRAINT MODEL VERIFICATION

6.4.1 Integrated Forces

6.4.2 Wing Inertia Forces

6.4.3 Inertia Invariants

6.4.4 Aerodynamic Forces

REFERENCES

Seven - Concluding Remarks About Modern Modeling Methodology Implementation and Flight Physics of Avian Scale Fligh ...

7.1 SUMMARY OF MODERN MODELING METHODOLOGY DEVELOPMENT AND IMPLEMENTATION

7.2 SCOPE AND CONTRIBUTIONS RESULTING FROM MODERN MODELING METHODOLOGY IMPLEMENTATION DESCRIBED IN THIS BOOK

7.2.1 The Vehicle Dynamics Model of Ornithopter

7.2.2 The Aerodyamics Model and Aeroelasticity

7.2.3 The Modeling Methodology

7.2.4 An Understanding of Flight Physics and Dynamics

7.3 SUMMARY OF NOVEL CONTRIBUTIONS RESULTING FROM MODELING METHODOLOGY

7.4 SUMMARY OF CONCLUSIONS ABOUT THE MODERN MODELING METHODOLOGY

7.5 SUMMARY OF RECOMMENDATIONS FOR MODELING OF AVIAN SCALE FLAPPING WING FLYERS

INDEX

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

Z

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