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Multi-Engine Helicopter Flight Dynamics And Modeling: An Introduction NASA Space Grant Undergraduate Research Symposium. Team Members. Pima Community College 4/12/14. Nick Patzke Gustavo Guerreo Nick Morris. Overview. Mission and Motivation What is a Quadcopter?
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Multi-Engine Helicopter Flight Dynamics And Modeling: An IntroductionNASA Space Grant Undergraduate Research Symposium Team Members • Pima Community College • 4/12/14 • Nick Patzke • Gustavo Guerreo • Nick Morris
Overview • Mission and Motivation • What is a Quadcopter? • Quadcopter Flight Dynamics • Principles of Flight • Variables of Flight • Modeling Quadcopter Flight • Why Models Are Important • Conclusions • Summary • Questions • I ask that you please hold all questions until the end
Our Mission and Motivation • Apply physics and engineering concepts to optimize flight performance and model the flight of a quadcopter. • Design and manufacture a UAV capable of: • Spanning sections of the Grand Canyon • Capturing Still Photos and HD Video • Expanding onboard sensors • Test the feasibility of UAV systems for: • Remote or inaccessible location monitoring • Topographical style mapping
What is a Quadcopter? • A Quadcopter is a type of aircraft that derives lift and propulsion from four sets of horizontally revolving rotors. (Google.com, revised definition)
Helicopter vs. Quadcopter • How quadcopters fly compared to their single rotor counterpart • Anti-torque • The advantages of quadcopters
Principles of Flight • We rely on a solid foundation of the following to allow us to understand the flight of these machines: • - Newtonian Mechanics • - Bernoulli’ Principle • - Fluid Dynamics Isaac Newton (www.news.discovery.com) Daniel Bernoulli (www.energyvanguard.com)
Micro Quadcopter Giant Quadcopter H20 Quadcopter Mountain Quadcopter
Variables That Define Flight Dynamics • Variables: • Elevation of quad-copter (ft.) • Temperature (T) • Air Density (ρ) • Humidity level • Angle of Attack (axis of quad-copter) (Φ) • Speed (v) • Wind vector • Fixed Parameters (per motor) • Lift coefficient (CL) • Drag coefficient (CD) • Angle of Attack (of propeller blades) (Ɵ) • Surface Area (s)
Matrix A1 A2 A3 A4 A5 B1 B2 B3 B4 B5 C1 C2 C3 C4 C5 D1 D2 D3 D4 D5 ? CL CD ƟAoA SA
Basic Steps of Modeling • Step 1: Identify the system to be modeled • Modeling is used to ensure the safety of an operation. It aims to reduce the level of risk by predicting future courses of events. • Step 2: Define all the variables that effect the model • Shown on previous slide • Step 3: Define the boundaries of the model • Step 4: Construct Model • Either base a model off of fundamental theory, then collect data and correct as necessary OR collect as much data as possible and piece together a model based on the data gathered. • Step 5: Test the Model
Step 3: Define the Boundaries Modeling as a Function of Altitude: - There are three levels to look at in which the model of our aircraft drastically changes. • High Altitude (Above) • First stabilization point (Right) • Ground hover (Below) • Which would I choose? Why?
Air Circulation Across a Rotor: Here we can see the difference in the air circulation when a helicopter is in ground effect (right) and out of ground effect (left). Notice the tips of the propellers.
Bibliography • 8. Snow - microdrones GmbH - www.uasvision.com • 9. Water - Jeffrey Hartog - www.makezine.com • 10. Desert - Blade 350 QX Quadcopter - www.coolhunting.com • 12. Quadcopter Sketch - roman01la - www.youtube.com • 13. Helicopter air circulation patterns - www.faasafety.gov • 14. Diagram - FabQuad - www.aeroquad.com • 15. Helicopter Sketch - Jimi Brown - www.coroflot.com • 16. Isaac Newton - www.news.discovery.com • 17. Daniel Bernoulli - www.energyvanguard.com • 18. Lift Formula - www.ppl-flight-training.com Principles of Helicopter Flight, Second Edition, W.J. Wagtendonk GOOGLE Search Engine Pictures: • 1. Big Quadcopter - Naza M. - www.coptercraft.com • 2. Small Quadcopter - Nathan Hurst - www.wired.com • 5. Video Quadcopter - Steve Lodefink - www.flickr.com • 6. Wood - 3D Printed Vampire Quadcopter - www.3ders.org • 7. Grass - XAIRCRAFT X650 QUADCOPTER - www.infmetry.com
Acknowledgements • A HUGE thanks to the following for offering this opportunity!: • Jack Crabtree and ANSR • Susan Brew, University of Arizona • Arizona NASA Space Grant • Prof. Mike Sampogna • Dr. Denise Meeks
The hard part is yet to come as we prepare the quadcopter for flight and start collecting data as we work towards a model. QUESTIONS?