The problem of steady motion of a ground effect vessel under stationary longitudinal motion at altitude h and small perturbations in pitch, roll and flight altitude
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Abstract
The paper deals with the problem of rectilinear motion of a ground effect vehicle, which is stable to small perturbations of the air flow caused by water surface disturbances. The qualitative picture of the interaction between the water surface and the hull, which leads to the appearance of roll, pitch, and pitch angles, as well as the conditions for compensating forces and moments that return the hull to a straight position, are considered. Based on this qualitative analysis, quantitative criteria for the stability of the straight-line motion of the screenplane were formulated. Also, for the purpose of linearizing the problem, a vortex model of the bearing surfaces and rudder profiles of the vehicle was constructed. The proposed model makes it possible to represent the velocity vector of the airframe as a linear function of small roll, pitch, and pitch angles, and, therefore, to represent aerodynamic forces and their points of application on the hull as linear functions of these angles. This representation made it possible to find the above criteria for stable motion in the form of algebraic inequalities.
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References
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