## Analysis of effects of spanwise variations of gust velocity on a vane-controlled gust-alleviation systemL. Keith Barker, Gene W. Sparrow, United States. National Aeronautics and Space Administration, Langley Research Center An analysis has been made of the effects of spanwise variations of gust velocity in isotropic turbulence on a gust-alleviation system which employs an angle-of-attack vane mounted ahead of the wing to sense the vertical gust velocity. The wing flaps were moved in response to the vane deflection by a linear second-order servosystem to produce a lift opposite to that produced by the gust. Consideration of spanwise variation of gusts has indicated design parameters (gain and natural frequency of flap servosystem and vane location) that give substantial reduction of the lift due to gusts. |

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aerodynamic aerodynamic center airplane alleviation system angle of attack basic wing damping ratio design parameters gain Dirac delta function due to gusts due to vertical effects of spanwise employs an angle-of-attack Figure 9 flap control system flap deflection Flap moving flap servosystem flaps were moved frequency of flap function of e(x gain and natural gain constant give substantial reduction gust alleviation gust frequency indicated design parameters isotropic turbulence Keith Barker Langley Research Center lift coefficient linear second-order servosystem minimize the mean-square moving in phase NACA natural frequency nondimensional correlation function nondimensional mean-square lift nondimensional power spectrum optimum value percentage reduction residual lift scale of turbulence senses the gust servosystem and vane shown in figure spanwise variation specific flap control spectrum of lift statistical properties U.S. Customary Units value of e(x value of lift vane deflection vane location variation of gusts velocity in isotropic vertical gust velocity wing span