1. The longitudinal equations of motion of a Boeing 747 aircraft in its cruise configuration (altitude...
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1. The longitudinal equations of motion of a Boeing 747 aircraft in its cruise configuration (altitude 40000ft, M=0.8) are given below 131- -0.00687 -0.0905 0.01395 0 -0.31498 236 -9.81] ru 0 W 0.000389 -0.00336 -0.4282 0 9 0 0 1 0 0 0.2922 -2.025 -0.3762 0 [8₂] a) Use Matlab to calculate the short period and Phugoid eigenvalues. Comment on the aircraft's dynamic stability characteristics, and calculate the damping and natural frequency of both modes. Comment on the Phugoid damping - explain this value. [5] b) [2] [5] c) Use Simulink to obtain the transient response of the aircraft to a 2° step input in elevator. Annotate your plots to show both the phugoid and short period modes. d) Use the standard short period reduced order model, and the 3 degrees of freedom Phugoid model to estimate the eigenvalues of these modes. Compare your results with those you got from the full system above. [4] e) It is proposed to increase the tailplane area of the aircraft by 25%. Quantify how this will affect the phugoid and short period damping and natural frequency. [4] 1. The longitudinal equations of motion of a Boeing 747 aircraft in its cruise configuration (altitude 40000ft, M=0.8) are given below 131- -0.00687 -0.0905 0.01395 0 -0.31498 236 -9.81] ru 0 W 0.000389 -0.00336 -0.4282 0 9 0 0 1 0 0 0.2922 -2.025 -0.3762 0 [8₂] a) Use Matlab to calculate the short period and Phugoid eigenvalues. Comment on the aircraft's dynamic stability characteristics, and calculate the damping and natural frequency of both modes. Comment on the Phugoid damping - explain this value. [5] b) [2] [5] c) Use Simulink to obtain the transient response of the aircraft to a 2° step input in elevator. Annotate your plots to show both the phugoid and short period modes. d) Use the standard short period reduced order model, and the 3 degrees of freedom Phugoid model to estimate the eigenvalues of these modes. Compare your results with those you got from the full system above. [4] e) It is proposed to increase the tailplane area of the aircraft by 25%. Quantify how this will affect the phugoid and short period damping and natural frequency. [4]
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