100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
AERO 480 and MECH 6091-Flight Control Systems Lecture 2- Equations of Motion - Reference Frames (Prof. Youmin Zhang) CA$14.61   Add to cart
Quickly navigate to
Preview
  2.  
  3. Concordia University ( )
  4.  
  5. AERO 480/ MECH 6091

Class notes

AERO 480 and MECH 6091-Flight Control Systems Lecture 2- Equations of Motion - Reference Frames (Prof. Youmin Zhang)
 4 views  0 purchase

AERO 480 and MECH 6091-Flight Control Systems Lecture 2- Equations of Motion - Reference Frames (Prof. Youmin Zhang)

Preview 4 out of 64  pages

Document information

  • December 13, 2023
  • 64
  • 2023/2024
  • Class notes
  • Prof. youmin zhang
  • All classes

Subjects

Written for

All documents for this subject (1)

Seller

avatar-seller
smartzone

Reviews received

Content preview

Introduction Airplane Equations of Motion (EOM) Coordinate Systems Static Transitions Dynamic Tra




AERO 480 and MECH 6091-Flight
Control Systems Lecture 2- Equations of
Motion - Reference Frames (Prof. Youmin Zhang)


Prof. Youmin Zhang


September 14, 2023

,Outline Airplane Equations of Motion - Goal to be Achieved by the Course Airplane Configurations Coordi



Contents to be Covered
Basic definitions and concepts, aircraft configurations
Forces and moments acting on aircraft, coordinate systems
Aircraft equations of motion, longitudinal and lateral-
directional equations of motion (see next slides for an
overall view - one of main goals to achieve after the course)
Linearization of equations of motion, state-space form,
stability derivatives
Trim, static stability (longitudinal and lateral-directional)
Dynamic stability (longitudinal motion)
Dynamic stability (lateral-directional motion, to be covered
as time permitted)
Brief introduction to flight control system design via classic
and modern control theory (to be covered as time
permitted)
Brief introduction to fault-tolerant flight control systems
(optional)

,Introduction Airplane Equations of Motion (EOM) Coordinate Systems Static Transitions Dynamic Tra



Introduction

In order to be able to derive Equations Of Motion (EOM) foran
airplane, one needs to know
Coordinate systems
Static transition between coordinate systems
Kinematic and Kinetics
Dynamic transition between coordinate systems

We will cover following subjects in this lecture
Body, Stability and Wind Coordinate Systems
Static Transition
Dynamic Transition
Nonlinear Equations of Motion of an Airplane
We use abbreviation CS for Coordinate Systems in this lecture.A
very useful webpage:
http://people.rit.edu/pnveme/EMEM682n/index.html

, Introduction Airplane Equations of Motion (EOM) Coordinate Systems Static Transitions Dynamic Tra



Summary: Airplane Equations of Motion (EOM)
Translational Equations of Motion:
m(u˙ + qw − rv) = X
m(v˙ + ru − pw) = Y
m(w˙ + pv − qu) = Z
Rotational Equations of Motion
Ixx ṗ − Ixz ṙ + qr(Izz − Iyy ) − Ixz pq = L
Iyy q̇ + rp(Ixx − Izz ) − Ixz (p2 − r 2 ) = M
−Ixzp˙ + Izzr˙ + pq(Iyy − Ixx) − Ixzqr = N
Rotational Kinematic:
p = φ˙ − sin θψ˙
q = cos φθ˙ + sin φ cos θψ˙
r = cos φ cos θψ˙ − sin φθ˙

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller smartzone. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for CA$14.61. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

76669 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling

Recently viewed by you

Exam (elaborations) ·

(0)

NBCE Acupuncture Exam | Questions with 100% Correct Answers | Verified | Updated 2024
CA$14.61
  • (0)
  Add to cart