3DOF (Wind Axes)
A model of plane longitudinal motion in the velocity coordinate system.
Description
The 3DOF (Wind Axes) block implements a model of the plane longitudinal motion of an aircraft taking into account the rotation of the vertical plane of the velocity coordinate system relative to the ground coordinate system.
The equations of motion are as follows:
The 3DOF (Wind Axes) unit works in SI units.
| The block uses coordinate systems according to the international standard ISO 1151. |
Ports
Input
Fx (N) - projection of the applied force on the OX axis
scalar
Projection of the applied force on the axis of the velocity coordinate system, N.
Data types: Float64.
Fz (N) - projection of the applied force on the OZ axis
scalar
Projection of the applied force on the axis of the velocity coordinate system, N.
Data types: Float64.
M (N-m) - pitching moment
scalar
Pitching moment, N⋅m.
Data types: Float64.
Output
γ (rad) - angle of inclination of the trajectory
scalar
The angle of inclination of the trajectory, rad. The value is in the range .
Data types: Float64.
q (rad/s) - pitch rate
scalar
Pitch velocity, rad/s.
Data types: Float64.
dq/dt (rad/s2) - change in pitch rate
scalar
Change in pitch rate, rad/s2^.
Data types: Float64.
Xe Ze (m) - position relative to the earth’s coordinate system
`vector 2 by 1
Coordinates of the aircraft relative to the Earth coordinate system, m. Defined as a vector.
Data types: Float64.
Vw (m/s) - aircraft speed
`vector 2 by 1
Components of the aircraft velocity along the axes and respectively, m/s. Defined as a vector.
Data types: Float64.
Axb Azb (m/s2) is the acceleration of the aircraft in the associated coordinate system
`vector 2 by 1
Components of the aircraft acceleration in the linked coordinate system along the and axes respectively, m/s2. Defined as a vector.
Data types: Float64.
α (rad) - angle of attack
scalar
Angle of attack, rad.
Data types: Float64.
Axe Aze (m/s2) - acceleration of the aircraft relative to the Earth’s coordinate system
`vector 2 by 1
Components of the aircraft acceleration relative to the Earth coordinate system along the axes и respectively, m/s2. The components of the aircraft acceleration relative to the Earth’s coordinate system in the axes and respectively, m/s2.
Data types: Float64.
Parameters
Initial velocity - initial airspeed
100.0 (by default) | scalar
Initial airspeed of the aircraft, rad/s. The value must be greater than 0.
Initial flight path angle - initial flight path angle
0.0 (by default) | scalar
Initial flight path angle, rad.
Initial body rotation rate - initial change of pitch rate
0.0 (by default) | scalar.
Initial pitch rate change, rad/s2.
Initial incidence - initial angle of attack
0.0 (By default) | scalar.
Initial angle of attack, rad.
Initial position (x,z) - initial position relative to the Earth coordinate system
[0.0,0.0] (by default) | vector 2 to 1
Initial coordinates of the aircraft relative to the Earth coordinate system, m. Set as a vector.
Initial mass - mass
1.0 (by default) | scalar.
Mass of the aircraft, kg.
Inertia - moment of inertia
1.0 (by default) | scalar.
Moment of inertia of the aircraft relative to the axis , kg⋅m2.
Acceleration due to gravity - free fall acceleration
9.81 (By default) | scalar.
Free-fall acceleration, m/s2. The value may be zero if the effect of gravity on the aircraft can be neglected.