MAE142_Lecture17

# MAE142_Lecture17 - Equilibruim and Trim Equilibrium Trim...

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Equilibruim and Trim Equilibrium Trim Maps SAMPEX F-16 AUV MAE 142 NASA Image

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2 MAE 142 Equilibrium Definitions A static equilibrium condition is achieved if the state rates are zero and the system state remains constant. Vehicle dynamics problems consider quasi-static equilibrium conditions, wherein the translational and rotational accelerations are zero but other state rates are non-zero. Steady level flight Steady turning flight Steady climbing flight The pilot/operator may wish to find control settings such that the vehicle achieves a quasi-equilibrium condition. This adjustment process is generally called “trim” or “trimming the vehicle”. ˙ x t = f [ x t ] 0 = f [ x t ] x t = constant
MAE 142 Solution Method The numerical method for finding equilibrium conditions requires simultaneously solving several nonlinear equations. 0 = f x ˙ x = 0 = f x Find x such that: 0 = f x  f x x ⋯ Taylor Series: x =− [ f

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## This note was uploaded on 01/18/2012 for the course MAE 142 taught by Professor Aliseda,a during the Spring '08 term at UCSD.

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MAE142_Lecture17 - Equilibruim and Trim Equilibrium Trim...

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