Answer Happy

5.3 Write the Laplace transform of the longitudinal small-perturbation equations of motion of an aircraft for the special case when the phugoid motion is suppressed. It may be assumed that the equations are referred to wind axes and that the influence of the derivatives Ža, Žw, and Mis negligible. State all other assumptions made. (a) By the application of Cramer's rule, obtain algebraic expressions for the pitch rate response and incidence angle response to elevator transfer functions. (b) Derivative data for the Republic Thunderchief F-105B aircraft flying at an altitude of 35,000 ft and a speed of 518 kt are Żw M M -0.4s-1 -0.0082 ft 's-1 -0.485 s-1 1) 1 M Zn -12.03 s- = -65.19 ft.s-2 ly Evaluate the transfer functions for this aircraft and calculate values for the longitudinal short-period frequency and damping. (c) Sketch the pitch rate response to a 1 deg step of elevator angle and indicate the significant features of the response. (CU 1990) m m