WOLFRAM SYSTEM MODELER

LongitudinalDerivatives

Calculates longitudinal stability and control derivatives

Wolfram Language

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

Information

This model calculates the longitudinal 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 (14)

mAC

Value:

Type: Mass (kg)

Description: Aircraft mass

IyyDry

Value:

Type: MomentOfInertia (kg⋅m²)

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

SrefWing

Value:

Type: Area (m²)

Description: Main wing reference area

cWingMean

Value:

Type: Length (m)

Description: Main wing mean chord length

CLalpha

Value:

Type: Real (rad⁻¹)

Description: Change in the lift coefficient due to alpha

CLdeltae

Value:

Type: Real (rad⁻¹)

Description: C_L_delta_e (Coefficient for change in the lift coefficient of entire aircraft due to elevator deflection)

Cmdeltae

Value:

Type: Real (rad⁻¹)

Description: C_m_delta_e (Coefficient for change in pitch moment due to elevator deflection)

CDalpha

Value:

Type: Real (rad⁻¹)

Description: Change in C_D due to alpha (required only for state space model)

CDM

Value:

Type: Real

Description: Change in C_D due to Mach number (required only for state space model)

CMM

Value:

Type: Real

Description: Change in C_M due to Mach number (required only for state space model)

Cmq

Value:

Type: Real (rad⁻¹)

Description: C_m_q (Coefficient for change in pitch moment due to pitch rate)

Cmalphadot

Value:

Type: Real (rad⁻¹)

Description: C_m_alphadot (Coefficient for change in pitch moment due to alphadot)

Cmalpha

Value:

Type: Real (rad⁻¹)

Description: Change in C_M due to alpha (required only for state space model)

zTauTotal

Value:

Type: Length (m)

Description: z-coordinate of thrust line

Connectors (2)

longdervsOut

Type: RealVectorOutput[14]

Description: Longitudinal derivatives output

subLongDervsBus

Type: RefFlightSignalBus

Description: Bus port for reference flight conditions input

Used in Components (1)

DefaultAircraft

Aircraft.StateSpace.FixedWing

Aircraft model using state-space representation