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Diffstat (limited to 'Flight_Eqns/Wind_Axis_eqns/Wind6DOF.mo')
-rw-r--r-- | Flight_Eqns/Wind_Axis_eqns/Wind6DOF.mo | 191 |
1 files changed, 191 insertions, 0 deletions
diff --git a/Flight_Eqns/Wind_Axis_eqns/Wind6DOF.mo b/Flight_Eqns/Wind_Axis_eqns/Wind6DOF.mo new file mode 100644 index 0000000..bff2c49 --- /dev/null +++ b/Flight_Eqns/Wind_Axis_eqns/Wind6DOF.mo @@ -0,0 +1,191 @@ +block Wind6DOF + +import Modelica.Math.Matrices.*; +import Modelica.SIunits.*; +import Modelica.Blocks.Interfaces.*; +import Modelica.Math.Vectors.*; + + +RealInput thrust annotation( + Placement(visible = true, transformation(origin = {-110, 33}, extent = {{-20, -20}, {20, 20}}, rotation = 0), iconTransformation(origin = {-110, 33}, extent = {{-20, -20}, {20, 20}}, rotation = 0)));//Thrust force + +RealInput[3] delta annotation( + Placement(visible = true, transformation(origin = {-110, -33}, extent = {{-20, -20}, {20, 20}}, rotation = 0), iconTransformation(origin = {-110, -33}, extent = {{-20, -20}, {20, 20}}, rotation = 0))); + + +Modelica.Blocks.Interfaces.RealOutput V annotation(start =39.8858, + Placement(visible = true, transformation(origin = {110, 100}, extent = {{-10, -10}, {10, 10}}, rotation = 0), iconTransformation(origin = {110, 100}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); //Linear velocity + +Modelica.Blocks.Interfaces.RealOutput alpha annotation(start =0.1, + Placement(visible = true, transformation(origin = {110, 60}, extent = {{-10, -10}, {10, 10}}, rotation = 0), iconTransformation(origin = {110, 60}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); //Angle of attack + +Modelica.Blocks.Interfaces.RealOutput beta annotation(start = 0, + Placement(visible = true, transformation(origin = {110, 20}, extent = {{-10, -10}, {10, 10}}, rotation = 0), iconTransformation(origin = {110, 20}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); //Angle of sideslip + + +Modelica.Blocks.Interfaces.RealOutput pos[3]annotation( + Placement(visible = true, transformation(origin = {110, -20}, extent = {{-10, -10}, {10, 10}}, rotation = 0), iconTransformation(origin = {110, -20}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); + //Position (Displacement) //Displacement + +Modelica.Blocks.Interfaces.RealOutput omega[3] annotation( + Placement(visible = true, transformation(origin = {110, -60}, extent = {{-10, -10}, {10, 10}}, rotation = 0), iconTransformation(origin = {110, -60}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); //Angular velocity around the CM +Modelica.Blocks.Interfaces.RealOutput angles[3] annotation( + Placement(visible = true, transformation(origin = {110, -100}, extent = {{-10, -10}, {10, 10}}, rotation = 0), iconTransformation(origin = {110, -100}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); //mu, gamma, and chi + + + + + + +parameter Real rho; +parameter Real m;//1.56 for zagi +parameter Real S_ref;//reference area +parameter Real C_bar ;//average chord +parameter Real b ;//span +parameter Real g = 9.81;//gravitational force +//parameter Real b= 1.4224, C_bar = 0.3302,s = 0.2589; + + + +parameter Real CD0;//= 0.01631;for Zagi +parameter Real K_drag ;//for cessna +parameter Real CD_beta;//for cessna +parameter Real CD_alpha; +parameter Real CD_q; +parameter Real CD_delta_e; + +//side force +parameter Real Cy_beta;//for cessna +parameter Real Cy_p;//for cessna +parameter Real Cy_r;//for cessna +parameter Real Cy_delta_r; //for cessna +parameter Real Cy_delta_a; //for cessna + +// lift +parameter Real CL0 ; //for cessna +parameter Real CL_alpha;//for cessna +parameter Real CL_q;//for cessna +parameter Real CL_delta_e;//for cessna + +// rolling moment +parameter Real Cl_beta;//for cessna +parameter Real Cl_p;//for cessna +parameter Real Cl_r;//for cessna +parameter Real Cl_delta_a;//for cessna +parameter Real Cl_delta_r ;//for cessna + +// pitching moment +parameter Real Cm0;//for cessna +parameter Real Cm_alpha ;//for cessna +parameter Real Cm_q;//for cessna +parameter Real Cm_delta_e;//for cessna + +// yawing moment +parameter Real Cn_beta;//for cessna +parameter Real Cn_p;//for cessna +parameter Real Cn_r;//for cessna +parameter Real Cn_delta_a ;//for cessna +parameter Real Cn_delta_r;//for cessna + + +//Initial conditions. (delta[2], thrust[1] and the others are straightforward) + +parameter Real I_xx; +parameter Real I_yy; +parameter Real I_zz; + +Real CL; +Real CD; +Real CY; +Real Cl; +Real Cm; +Real Cn; +Real CX; +Real CZ; +//Params +//parameter Real delta[1] = 0; +//parameter Real delta[3] = 0; + +//Modelica.Blocks.Sources.RealExpression delta[2] (y = if time > 100 and time < 105 then -0.15625+3.1412 /180 else -0.15625) annotation( Placement(visible = true, transformation(origin = {-112, 1}, extent = {{-26, -47}, {26, 47}}, rotation = 0))); +//parameter Real delta[2] = -0.15625; + +//parameter Real thrust = 1112.82; + + + +Real qbar = 0.5*rho*V^2; + +Real Vdot; +Real alphadot; +Real betadot; + +Real pdot; +Real qdot; +Real rdot; + +Real mudot; +Real gammadot; +Real chidot; + +Real xdot; +Real ydot; +Real zdot; + + +equation +CL = CL0+CL_alpha*alpha+((CL_q*omega[2]*C_bar)/(2*V))+CL_delta_e*delta[2]; +//CD = CD0+CD_alpha*alpha+((CD_q*omega[2]*C_bar)/(2*V))+CD_delta_e*abs(delta[2]);// + CDbeta * beta + CDdelta[2] * Elevator; +CD = CD0 + K_drag*CL^2; +CY = Cy_beta * beta + Cy_p * (omega[1]*b)/(2*V) + Cy_r *(omega[3]*b)/(2*V) + Cy_delta_a * delta[1] + Cy_delta_r*delta[3];//Sideslip coeff + + +Cl = Cl_beta * beta + Cl_p*(omega[1]*b)/(2*V) + Cl_r *(omega[3]*b)/(2*V) + Cl_delta_a * delta[1] + Cl_delta_r * delta[3];//Rolling coeff + +Cm = Cm0+Cm_alpha*alpha+((Cm_q*omega[2]*C_bar)/(2*V))+Cm_delta_e*delta[2];//pitching coeff + +Cn = Cn_beta * beta + Cn_p * (omega[1]*b)/(2*V) + Cn_r *(omega[3]*b) /(2*V) + Cn_delta_a * delta[1] + Cn_delta_r * delta[3];//Yawing coeff + +CX = -CD*cos(alpha) + CL*sin(alpha); +CZ = -CD*sin(alpha) - CL*cos(alpha); + + +Vdot = der(V); +alphadot = der(alpha); +betadot = der(beta); + +pdot = der(omega[1]); +qdot = der(omega[2]); +rdot = der(omega[3]); + +xdot = der(pos[1]); +ydot = der(pos[2]); +zdot = der(pos[3]); + +mudot = der(angles[1]); +gammadot = der(angles[2]); +chidot = der(angles[3]); + + + + +Vdot = 1/m*(thrust*cos(alpha)*cos(beta)-0.5*rho*V^2*S_ref*(CD*cos(beta)-CY*sin(beta))-m*g*sin(angles[2])); + +alphadot = omega[2]-1/cos(beta)*((omega[1]*cos(alpha)+omega[3]*sin(alpha))*sin(beta)-g/V*cos(angles[2])*cos(angles[1])+0.5*rho*V^2*S_ref*CL/(m*V)+thrust*sin(alpha)/(m*V)); + +betadot = (omega[1]*sin(alpha)-omega[3]*cos(alpha))+1/(m*V)*(-thrust*cos(alpha)*sin(beta)+0.5*rho*V^2*S_ref*(CY*cos(beta)+CD*sin(beta))+m*g*cos(angles[2])*sin(angles[1])); + + +pdot = (I_yy-I_zz)/I_xx*omega[2]*omega[3]+1/(2*I_xx)*rho*V^2*S_ref*b*Cl; +qdot = (I_zz-I_xx)/I_yy*omega[1]*omega[3]+1/(2*I_yy)*rho*V^2*S_ref*C_bar*Cm; +rdot = (I_xx-I_yy)/I_zz*omega[1]*omega[2]+1/(2*I_zz)*rho*V^2*S_ref*b*Cn; + + +xdot=V*cos(angles[2])*cos(angles[3]); +ydot=V*cos(angles[2])*sin(angles[3]); +zdot=-V*sin(angles[2]); + +mudot = omega[1]+tan(angles[2])*sin(angles[1])*omega[2]+tan(angles[2])*cos(angles[1])*omega[3]; +gammadot = cos(angles[1])*omega[2]-sin(angles[1])*omega[3]; +chidot=(1/cos(angles[2]))*sin(angles[1])*omega[2]+(1/cos(angles[2]))*cos(angles[1])*omega[3]; + +end Wind6DOF;
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