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Homework 11 - Flight Dynamics and Control | AAE 42100, Assignments of Aerospace Engineering

Material Type: Assignment; Class: Flight Dynamics And Control; Subject: AAE-Aero & Astro Engineering; University: Purdue University - Main Campus; Term: Spring 2011;

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April 12, 2011
AAE 421, Spring 2011
Homework Eleven
Due: Monday, April 18
Exercise 1 This exercise refers to the figure with aircraft and propeller.
(a) Find e
Rb. Also, obtain e¯ωbby inspection.
(b) Find b
Rc. Also, obtain b¯ωcby inspection.
(c) Compute e
Rc.
(d) Compute ec
(e) Using ecfrom part (d), compute e¯ωcand compare this to e¯ωb+b¯ωcas computed
from parts (a) and (b).
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April 12, 2011

AAE 421, Spring 2011

Homework Eleven

Due: Monday, April 18

Exercise 1 This exercise refers to the figure with aircraft and propeller.

(a) Find eRb. Also, obtain eω¯b^ by inspection.

(b) Find bRc. Also, obtain bω¯c^ by inspection.

(c) Compute eRc.

(d) Compute eΩc

(e) Using eΩc^ from part (d), compute e^ ω¯c^ and compare this to e^ ¯ωb^ + b^ ω¯c^ as computed from parts (a) and (b).

Exercise 2 The linearized lateral dynamics of an F-16 about a trim condition corresponding to straight and level flight at 502 ft/s can be described by δ x˙ = Aδx where x = (β, φ, p, r) and

A =

  

  

(From Steven and Lewis, 2nd ed, p. 210) Identify the eigenvalues and eigenvectors corresponding to the dutch roll mode, the roll subsidence mode and the spiral mode.

  • Exercise