0.8(m) Lm1+( S9() (214) 15 + where w is the spectral frequency of the turbulence and the aircraft wingspan, b, is used as a parameter in the angle rate filters to scale the effect of rotation on the main lifting surface. The subscripts u, U, w and p, g, r refer to the familiar body frame aircraft wind velocities and angle rates, respectively, thereby allowing independent classification of the turbulence in each axis. These spectral shaping functions are used to form shaping filters to give the body axis noise transfer functions 30 1 H 丌V1+-ms (216) H9(s) 1+√3{m (218) + H (1+(#) (220) Hrg(s) H (221) (#) The block diagram for the full 6 DOF Dryden turbulence model is shown in Figure 2-4 Note the cross axis couplings of the angle rate filters gg and ro Example turbulence perturbations values are plotted in Figure 2-5 as a function of the scale lengths and intensities for each of the body axes. The same 4 x l white noise input was used for each trial set. Larger scale lengths, L, increase the time constant ofS σ2 0.8 � πLw �1/3 pg(ω)= w 4b �2 (2.13) LwVo · 1+ � 4b ω πVo � � ω 2 Vo Sqg(ω)= �2 · Swg(ω) (2.14) 1+ � 4b ω πVo � ω �2 Vo Srg(ω)= �2 · Svg(ω) (2.15) 1+ � 3b ω πVo where ω is the spectral frequency of the turbulence and the aircraft wingspan, b, is used as a parameter in the angle rate filters to scale the effect of rotation on the main lifting surface. The subscripts u, v, w and p, q, r refer to the familiar body frame aircraft wind velocities and angle rates, respectively, thereby allowing independent classification of the turbulence in each axis. These spectral shaping functions are used to form shaping filters to give the body axis noise transfer functions [30] � Lu 1 Hug(s)= σu 2 1+ Lu (2.16) πVo · s 1+ √3 Lv Vo s � Lv Vo � � 1+ Lv 2 Hvg(s)= σv (2.17) πVo · s Vo s � Lw 1+ √3 Lw Vo � � 1+ Lw 2 Hwg(s)= σw (2.18) πVo · s Vo � �1/6 0.8 � π 4b (2.19) 1/3 Hpg(s)= σw Vo Lw � 1+ � 4b s �� πVo s Hqg(s)= � Hwg(s) (2.20) Vo 4b � · 1+ s πVo s Hrg(s)= � Hvg(s) (2.21) Vo 3b � · 1+ s πVo The block diagram for the full 6 DOF Dryden turbulence model is shown in Figure 2­4. Note the cross axis couplings of the angle rate filters qg and rg. Example turbulence perturbations values are plotted in Figure 2­5 as a function of the scale lengths and intensities for each of the body axes. The same 4×1 white noise input was used for each trial set. Larger scale lengths, L, increase the time constant of 38