WOLFRAM SYSTEM MODELER

LateralDerivatives

Calculates lateral stability and control derivatives

Wolfram Language

In[1]:=
SystemModel["Aircraft.StateSpace.FixedWing.Blocks.LateralDerivatives"]
Out[1]:=

Information

This model calculates the lateral stability and control derivatives according to the method presented by Nelson [1] for the given reference flight condition and based on the parameters of the aircraft given in the complete aircraft model.

References

[1]  Nelson, R. C. (1998) Flight Stability and Automatic Control. 2nd ed. McGraw-Hill.
      Available at: http://home.eng.iastate.edu/~shermanp/AERE355/lectures/Flight_Stability_and_Automatic_Control_N.pdf.

Parameters (20)

mAC

Value:

Type: Mass (kg)

Description: Aircraft mass

IxxDry

Value:

Type: MomentOfInertia (kg⋅m²)

Description: Aircraft moment of inertia about x-axis (with total mass for electric aircraft and gliders)

IzzDry

Value:

Type: MomentOfInertia (kg⋅m²)

Description: Aircraft moment of inertia about z-axis (with total mass for electric aircraft and gliders)

bWing

Value:

Type: Length (m)

Description: Main wing span

SrefWing

Value:

Type: Area (m²)

Description: Main wing reference area

lambdaWing

Value:

Type: Angle (rad)

Description: Main wing sweep angle at 1/4 chord

ARwing

Value:

Type: Real

Description: Main wing aspect ratio

kCnDeltaAil

Value:

Type: Real

Description: Empirical factor for the yaw moment derivative due to ailerons. Based on Figure 3.12 in Flight Stability and Automatic Control 2nd Edition

lVTcm

Value:

Type: Length (m)

Description: Vertical tail arm length (from aircraft center of mass to vertical tail 1/4 chord)

zVTacCM

Value:

Type: Length (m)

Description: z-coordinate w.r.t. aircraft center of mass of center of pressure of vertical tail

CyDeltaRdr

Value:

Type: Real (rad⁻¹)

Description: Y-force due to rudder deflection control derivative

ClDeltaAil

Value:

Type: Real (rad⁻¹)

Description: Roll moment due to aileron deflection control derivative

Cldeltar

Value:

Type: Real (rad⁻¹)

Description: C_l_delta_r (Coefficient for change in roll moment due to rudder deflection)

Cndeltar

Value:

Type: Real (rad⁻¹)

Description: C_n_delta_r (Coefficient for change in yaw moment due to rudder deflection)

CyBeta

Value:

Type: Real (rad⁻¹)

Description: Y-force due to sideslip angle stability derivative

ClRoll

Value:

Type: Real (rad⁻¹)

Description: C_l_p (Coefficient for change in roll moment due to roll rate)

Cnr

Value:

Type: Real

Description: C_n_r (Coefficient for change in yaw moment due to yaw rate)

Cyr

Value:

Type: Real (rad⁻¹)

Description: C_y_r (Coefficient for change in Y-force due to yaw rate)

Cnbeta

Value:

Type: Real (rad⁻¹)

Description: C_n_beta (Coefficient for change in yaw moment due to sideslip angle)

Clbeta

Value:

Type: Real (rad⁻¹)

Description: C_l_beta (Coefficient for change in roll moment due to sideslip angle)

Connectors (2)

lateraldervsOut

Type: RealVectorOutput[14]

Description: Lateral derivatives output

subLateralDervsBus

Type: RefFlightSignalBus

Description: Bus port for reference flight conditions input

Used in Components (1)

DefaultAircraft

Aircraft.StateSpace.FixedWing

Aircraft model using state-space representation