// SIS Twin Otter Iced aircraft Nonlinear model // Version 020409 // read readme_020212.doc for information // 11-21-2002 (RD) Added e code from Kishwar to fix negative lift problem at // high etas #include "uiuc_iced_nonlin.h" void Calc_Iced_Forces() { // alpha in deg double alpha; double de; double eta_ref_wing = 0.08; // eta of iced data used for curve fit double eta_ref_tail = 0.20; //changed from 0.12 10-23-2002 double eta_wing; double e; //double delta_CL; // CL_clean - CL_iced; //double delta_CD; // CD_clean - CD_iced; //double delta_Cm; // CM_clean - CM_iced; double delta_Cm_a; // (Cm_clean - Cm_iced) as a function of AoA; double delta_Cm_de; // (Cm_clean - Cm_iced) as a function of de; double delta_Ch_a; double delta_Ch_e; double KCL; double KCD; double KCm_alpha; double KCm_de; double KCh; double CL_diff; double CD_diff; alpha = Std_Alpha*RAD_TO_DEG; de = elevator*RAD_TO_DEG; // lift fits if (alpha < 16) { delta_CL = (0.088449 + 0.004836*alpha - 0.0005459*alpha*alpha + 4.0859e-5*pow(alpha,3)); } else { delta_CL = (-11.838 + 1.6861*alpha - 0.076707*alpha*alpha + 0.001142*pow(alpha,3)); } KCL = -delta_CL/eta_ref_wing; eta_wing = 0.5*(eta_wing_left + eta_wing_right); if (eta_wing <= 0.1) { e = eta_wing; } else { e = -0.3297*exp(-5*eta_wing)+0.3; } delta_CL = e*KCL; // drag fit delta_CD = (-0.0089 + 0.001578*alpha - 0.00046253*pow(alpha,2) + -4.7511e-5*pow(alpha,3) + 2.3384e-6*pow(alpha,4)); KCD = -delta_CD/eta_ref_wing; delta_CD = eta_wing*KCD; // pitching moment fit delta_Cm_a = (-0.01892 - 0.0056476*alpha + 1.0205e-5*pow(alpha,2) - 4.0692e-5*pow(alpha,3) + 1.7594e-6*pow(alpha,4)); delta_Cm_de = (-0.014928 - 0.0037783*alpha + 0.00039086*pow(de,2) - 1.1304e-5*pow(de,3) - 1.8439e-6*pow(de,4)); delta_Cm = delta_Cm_a + delta_Cm_de; KCm_alpha = delta_Cm_a/eta_ref_wing; KCm_de = delta_Cm_de/eta_ref_tail; delta_Cm = (0.75*eta_wing + 0.25*eta_tail)*KCm_alpha + (eta_tail)*KCm_de; // hinge moment if (alpha < 13) { delta_Ch_a = (-0.0012862 - 0.00022705*alpha + 1.5911e-5*pow(alpha,2) + 5.4536e-7*pow(alpha,3)); } else { delta_Ch_a = 0; } delta_Ch_e = -0.0011851 - 0.00049924*de; delta_Ch = -(delta_Ch_a + delta_Ch_e); KCh = -delta_Ch/eta_ref_tail; delta_Ch = eta_tail*KCh; // rolling moment CL_diff = (eta_wing_left - eta_wing_right)*KCL; delta_Cl = CL_diff/8.; // 10-23-02 Previously 4 //yawing moment CD_diff = (eta_wing_left - eta_wing_right)*KCD; delta_Cn = CD_diff/8.; } void add_ice_effects() { CD_clean = -1*CX*Cos_alpha*Cos_beta - CY*Sin_beta - CZ*Sin_alpha*Cos_beta; CY_clean = -1*CX*Cos_alpha*Sin_beta + CY*Cos_beta - CZ*Sin_alpha*Sin_beta; CL_clean = CX*Sin_alpha - CZ*Cos_alpha; Cm_clean = Cm; Cl_clean = Cl; Cn_clean = Cn; Ch_clean = Ch; CD_iced = CD_clean + delta_CD; CY_iced = CY_clean; CL_iced = CL_clean + delta_CL; Cm_iced = Cm_clean + delta_Cm; Cl_iced = Cl_clean + delta_Cl; Cn_iced = Cn_clean + delta_Cn; //Ch_iced = Ch_clean + delta_Ch; CD = CD_iced; CY = CY_iced; CL = CL_iced; Cm = Cm_iced; Cl = Cl_iced; Cn = Cn_iced; //Ch = Ch_iced; CX = -1*CD*Cos_alpha*Cos_beta - CY*Cos_alpha*Sin_beta + CL*Sin_alpha; CY = -1*CD*Sin_beta + CY*Cos_beta; CZ = -1*CD*Sin_alpha*Cos_beta - CY*Sin_alpha*Sin_beta - CL*Cos_alpha; }