Engee documentation

Direction Cosine Matrix to Wind Angles

Calculation of angles between the axes of the velocity and normal coordinate systems using the transformation matrix.

direction cosine matrix to wind angles

Description

Block Direction Cosine Matrix to Wind Angles calculates the angles between the axes of the velocity and normal coordinate systems: velocity roll angle , velocity pitch angle and velocity yaw angle .

The transformation matrix has the following form:

The angles are determined by the formulas:

The unit uses coordinate systems according to the international standard ISO 1151.

Limitations

  • The values of the velocity pitch angle are in the range [-90°, +90°].

  • The values of the high-speed roll and yaw angles are in the range [-180°, +180°].

Ports

Input

DCMwe - conversion matrix
`3 by 3 matrix

A matrix of directional cosines for converting the component vectors of the normal coordinate system to the velocity coordinate system.

Data types: Float64

Output

μ γ χ - angles between axes of normal and velocity coordinate systems
`vector 3 by 1

Angles between the axes of normal and velocity coordinate systems given as a vector. Elements of a vector:

  • - velocity roll angle, rad.

  • - pitch angle, rad.

  • - yaw angle, rad.

Data types: Float64