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TsAGI Science Journal

ISSN Печать: 1948-2590
ISSN Онлайн: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.2013010487
pages 491-506

CALCULATION OF ROTATIONAL DERIVATIVES OF ROLL AND YAW MOMENTS FOR HIGH-ASPECT-RATIO WINGS

Mikhail Alekseyevich Golovkin
Central Aerohydrodynamic Institute (TsAGI), Zhukovsky St., 1, Zhukovsky, Moscow Region, 140180, Russian Federation

Краткое описание

Analytical expressions for rotational derivatives of roll and yaw moments with respect to angular velocity and its components are derived using vector formulas. The resulting expressions can be used to estimate these derivatives for a wing with a very high aspect ratio within any range of angle of attack, given the distribution of normal and longitudinal forces and the distribution of their derivatives with respect to the angle of attack in the wing cross sections and induced downwashes along the wing span in the case of stationary flow. Analytical expressions are given for the following wings: a swept wing, a wing with a constant chord, a wing with linear dependence of normal and longitudinal forces on the angle of attack, and a wing with the elliptic law of load distribution along the span.


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