The response of a quadrotor heavy lift airship (HLA) to atmospheric turbulence is evaluated using a fourpoint input model. Results show interaction between gust inputs and the characteristic modes of the vehicle's response. Example loop closures demonstrate tradeoffs between response regulation and structural loads. Vehicle responses to a tuned discrete wavefront compare favorably with the linear results and illustrate characteristic HLA motion. <*z c w dB LPU L w _ s T h ,T' h w w r Nomenclature = acceleration of the hull center of gravity along,the positive (downward) z-body axis, ft/s 2 (g) = traveling upgust wave celerity, i.e., inertially referenced crest velocity, ft/s = decibels, = 20 log!o (gain) constraint force exerted on the hull support structure at the attachment point of LPU-1, along the positive (downward) z-bodyaxis, Ib = lift propulsion unit, each comprised of one rotor, one propeller, and one nacelle; numbering system shown in Fig. 2. characteristic scale length for vertical turbulence, ft ? hull length, ft = Laplace transform operator = heave mode time constants for the openloop (bare airframe) and closed-loop (control system engaged) vehicle, respectively, s (time-to-half-amplitude = 0.693 T\ T=Tf,,Tf l ) --reference relative airspeed, ft/s reference inertial velocity along the xbody axis (ground speed), ft/s = velocity of the hull center of gravity along the positive (downward) z-body axis, ft/s = heave axis control deflection, w c = 1 deg-vl deg of negative collective pitch on each rotor, deg = gust velocities along the inertial z axis at input sources 1-4, respectively; positive downward, ft/s Presented as Paper 82-1542 at the . Member AIAA. tPrincipal Research Engineer. Associate Fellow AIAA. a aa > d>* ww * ww Superscripts (")o = pitch and roll Euler angles, respectively, rad(deg) = root-mean-squared (rms) value = root-mean-squared(rms) level of hull acceleration, a z --root-mean-squared(rms) level of vertical constraint force at LPU-1 (F Czl ) = intensity level (rms) for turbulence along the inertial z axis, ft/s = power spectral desity function and truncated power spectral density function, respectively, for vertical turbulence, ft 2 /rad-s = frequency, rad/s = heave control system bandwidth; defined as the -3 dB frequency (Fig. 3), rad/s = Butterworth filter cutoff frequency, rad/s = pitch oscillation mode frequencies for the open-loop (bare air frame) and closedloop (control system engaged) vehicle, respectively, rad/s = traveling upgust wave encounter angle (Fig. 2), deg = average value = time derivative with respect to nonrotating axes