sears-function-gust-liftlisted

Use when you must compute the frequency-domain gust response of a rigid thin airfoil to a convected sinusoidal vertical gust: evaluate the complex sears-function S(k) from the Bessel series with the Theodorsen lift-deficiency function, the gust gain and the phase lag of the gust load, and the unsteady gust-load amplitude against the quasi-steady 2*pi*rho*V*b*w_g reference, with the |S| = 1 quasi-steady limit at zero reduced frequency, the monotone gain roll-off, and the reduced frequency where the gust load falls to half the quasi-steady value. Produces the complex sears function, gain and phase tables versus reduced frequency, and the unsteady gust-load amplitudes that gate sinusoidal-gust load estimates and unsteady thin-airfoil coursework. Trigger: sears function, sinusoidal gust, gust transfer function, unsteady gust load, gust reduced frequency sweep.
ashfordeOU/aero-agent-skills · ★ 0 · AI & Automation · score 78

Install: claude install-skill ashfordeOU/aero-agent-skills

# Sears Function Gust Lift (aerodynamics/aeroelasticity/sears-function-gust-lift) Use when the task is the frequency-domain unsteady lift response of a rigid thin airfoil to a convected sinusoidal vertical gust (the Sears problem, Sears 1941, JAS 8(3); Bisplinghoff, Ashley and Halfman, Aeroelasticity, the unsteady incompressible gust chapter; Fung, An Introduction to the Theory of Aeroelasticity): the complex sears function S(k) evaluated from the Bessel series with the Theodorsen lift-deficiency function C(k), the gust gain and the phase lag, and the unsteady gust-load amplitude against the quasi-steady 2*pi*rho*V*b*w_g_amp reference. This leaf is the section aerodynamics transfer function of the rigid airfoil, the frequency-domain complement of the flexible-section time-domain discrete-gust response sibling aerodynamics/aeroelasticity/aeroelastic-gust-response (whose quasi-steady reference L_qs = 2*pi*rho*V*b*w_g is exactly the k = 0 amplitude this leaf's gain is normalized against), and it evaluates the same published C(k) expression, built on the same Bessel machinery, that aerodynamics/aeroelasticity/flutter-speed-prediction documents for the V-g stability problem. It produces no stability content, no structural degrees of freedom and no vehicle load factor: the gust response of a flexible typical section, static divergence, added-mass coefficient estimation and the discrete-gust certification load-factor method all belong to their own leaves. ## Domain quick reference