Aerospace Blockset    
Discrete Wind Gust Model

Generate discrete wind gust

Library

Environment/Wind

Description

The Discrete Wind Gust Model block implements a wind gust of the standard "1-cosine" shape. This block implements the mathematical representation in the Military Specification MIL-F-8785C [1]. The gust is applied to each axis individually, or to all three axes at once. The user specifies the gust amplitude (the increase in wind speed generated by the gust), the gust length (length, in meters, over which the gust builds up) and the gust start time.

The Discrete Wind Gust Model block can represent the wind speed in units of feet per second, meters per second, or knots.

The following figure shows the shape of the gust with a start time of zero. The parameters that govern the gust shape are indicated on the diagram.

The discrete gust can be used singly or in multiples to assess airplane response to large wind disturbances.

The mathematical representation of the discrete gust is

where Vm is the gust amplitude, dm is the gust length, x is the distance traveled, and Vwind is the resultant wind velocity in the body axis frame.

Dialog Box

Units of velocity
Define the units of wind gust.


Wind
Altitude
Meters/second
Meters/second
Meters
Feet/second
Feet/second
Feet
Knots
Knots
Feet
Check for gust in u-axis
Select to apply the wind gust to the u-axis in the body frame.
Check for gust in v-axis
Select to apply the wind gust to the v-axis in the body frame.
Check for gust in w-axis
Select to apply the wind gust to the w-axis in the body frame.
Gust start time (seconds)
The model time, in seconds, at which the gust begins.
Gust length (meters or feet)
The length, in meters or feet (depending on the choice of units), over which the gust builds up in each axis.
Gust amplitude (meters/second, feet/second, or knots)
The magnitude of the increase in wind speed caused by the gust in each axis.

Inputs and Outputs

The input is altitude in units selected.

The output is wind speed in units selected.

Examples

See aeroblk_HL20.mdl example included with the blockset.

References

Military Specification MIL-F-8785C, 5th November 1980.

See Also
Dryden Wind Turbulence Model

Wind Shear Model


  Direction Cosine Matrix to Quaternions Dryden Wind Turbulence Model