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In the state-space model form for an aircraft, the Dutch roll motion can be approximated using the following equations...
Long-Period Approximation of Longitudinal Motion (Phugoid)Consider an example aircraft flying at low-speed: ft/s2000=u, assuming unpowered (gliding)flight, and neglecting compressibility effects, with 0.0061 / suX= − and 0.322 / suZ= −. The long-period approximation of aircraft motion yields the following equation: Find the natural frequency and damping ratio of the system. (note: for unit-consistency, you must expressg in ft/s2). Long-Period Approximation of Longitudinal Motion (Phugoid) Consider an example aircraft flying at low-speed: 4 = 200 ft/s, assuming unpowered (gliding) flight, and...
Exercises 1. (introduction) Sketch or plot the displacement of the mass in a mass-spring system for at least two periods for the case when Wn-2rad/s, 괴,-1mm, and eto =-v/5mm/s. 2. (introduction) The approximation sin θ ะ θ is reasonable for θ < 10°. If a pendulum of length 0.5m, has an initial position of 0()0, what is the maximum value of the initial angular velocity that can be given to the pendulum without violating this smll angle approximation? 3. (harmonic...