Aircraft Flight Dynamics Robert F Stengel Lecture10 Linearized Equations and Modes of Motion

... Spring" Spring Force vs. Displacement" Spring" Damper" Displacement" Rate of Change" Linearized Equations 
 and Modes of Motion 
 Robert Stengel, Aircraft Flight Dynamics MAE ... matrix! Rigid-Body Equations of Motion (Scalar Notation)" •  Rate of change of Translational Position " •  Rate of change of Angular Pos...

Ngày tải lên: 04/07/2014, 19:25

... Glide" Climbing Flight Gliding, Climbing, and Turning Flight Performance
 Robert Stengel, Aircraft Flight Dynamics, MAE 331, 2012 ! Copyright 2012 by Robert Stengel. All rights reserved. For educational ... reversal of direction" •  Kinetic-/potential-energy exchange" •  Yaw maneuver at low airspeed" •  X-31 performing the maneuver " Next Time: A...

Ngày tải lên: 04/07/2014, 19:25

... } Δu(s) Transfer Function Matrix" •  Frequency-domain effect of all inputs on all outputs" •  Assume control effects do not appear directly in the output: H u = 0" •  Transfer function ... e j φ α ( ω ) Bode Plot (Frequency Response of a Scalar Transfer Function)  Angle and Rate Response of a DC Motor over Wide Input- Frequency Range " !  Long-term respon...

Ngày tải lên: 04/07/2014, 19:27

... Aerodynamics of Airplane Configurations !  Cruising Flight Performance !  Gliding, Climbing, and Turning Performance !  Nonlinear, 6-DOF Equations of Motion !  Linearized Equations of Motion !  ... vehicles. !  Understanding of aircraft equations of motion, configuration aerodynamics, and methods for analysis of linear and nonlinear systems. !  Apprecia...

Ngày tải lên: 04/07/2014, 19:19

... F aerodynamics + F thrust ⎡ ⎣ ⎤ ⎦ I Rate of change of position! Rate of change of velocity! Vector of combined forces! Equations of Motion for a Point Mass "  ˙ x (t) = dx(t) dt = f[ x(t) ,F] •  ... Frame" C X C Y C Z ⎡ ⎣ ⎢ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ ⎥ B = axial force coefficient side force coefficient normal force coefficient ⎡ ⎣ ⎢ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ ⎥ C D C Y C L ⎡ ⎣ ⎢ ⎢ ⎢ ⎤...

Ngày tải lên: 04/07/2014, 19:20

... effects" •  Short-Takeoff -and- Landing (STOL) aircraft augment takeoff/landing lift in many ways, e.g.," –  Full-span flaps" –  Deflected thrust" Grumman F8 F! Grumman F4 F! GB R1! C T o ,C T V ,C T δ T ,C L δ T World ... (1864-1928)! –  Longitudinal equations of motion (with W.E. Williams, 1903)! –  Full equations of motion and linearized equations...

Ngày tải lên: 04/07/2014, 19:21

... Axes" f B = X B Y B Z B ! " # # # $ % & & & m B = L B M B N B ! " # # # $ % & & & Force Vector" Moment Vector" r × f = i j k x y z f x f y f z = yf z − zf y ( ) i + zf x − xf z ( ) j + xf y − yf x ( ) k m = yf z − zf y ( ) zf x − xf z ( ) xf y − yf x ( ) # $ % % % % & ' ( ( ( ( =  rf ... Dihedral effect" •  Vertical t...

Ngày tải lên: 04/07/2014, 19:22

... Cruising Flight Performance
 Robert Stengel, Aircraft Flight Dynamics, MAE 331, 2012! Copyright 2012 by Robert Stengel. All rights reserved. For educational use only.! http://www.princeton.edu/ ~stengel/ MAE331.html! http://www.princeton.edu/ ~stengel/ FlightDynamics.html! •  ... Pressure and Mach Number" ρ = air density, functionof height = ρ sealevel e − β h a = speed...

Ngày tải lên: 04/07/2014, 19:24

... theorem" •  Model in Pro/ENGINEER, etc." Aircraft Equations of Motion - 1
 Robert Stengel, Aircraft Flight Dynamics, 
 MAE 331, 2012 " •  6 degrees of freedom" •  Angular kinematics" •  ... solutions" •  Linear equations of motion& quot; –  Simplify computation of flight paths and solutions" –  Define modes of motion& quot;...

Ngày tải lên: 04/07/2014, 19:25