Qualification Testing Phase of Satellite Structure - Finite Element Analysis for Satellite Structures - page 254

Fig. 6.5 Relationship
between satellite axes,
centrifugal acceleration, and
gravity

Ac

Φ

X

θ

Z 1g

Ac 1g ⊥

Y

6.1.4 Test Conditions Calculations

The centrifugal stand rotates with constant angular velocity (x), which causes
centrifugal acceleration equal to (A c = r 2 *x). From Mechanical Loads Specifi-
cation document, accelerations due to transportation or launching are defined in
the Satellite Design Coordinates axes as (n x , n y , n z ). So, the problem can be defined
as follows:

1. Input parameters n x , n y , n z .
2. We need to determine Ac, U, and h. Where,

a. U = Angle between satellite Y-axis and horizontal level of centrifugal
stand.
b. h = Angle between satellite X-axis and projection of A c vector on the
satellite X-Z plane.
c. The effect of gravity has to be cancelled from (n x , n y , n z ) components and
then added separately from A c applied by centrifugal stand (Fig. 6.5 ).

Ax ¼ Ac sin ð u Þ cos ð h Þ 1gx ¼ sin ð 90 u Þ cos ð h Þ
Ay ¼ Ac cos ð u Þ 1gy ¼ cos ð 90 u Þ
Az ¼ Ac sin ð u Þ sin ð h Þ 1gz ¼ sin ð 90 u Þ sin ð h Þ
nx ¼ Ac sin ð u Þ cos ð h Þþ sin ð 90 u Þ cos ð h Þ
ny ¼ Ac cos ð u Þþ cos ð 90 u Þ
nz ¼ Ac sin ð u Þ sin ð h Þþ sin ð 90 u Þ sin ð h Þ

Using MAPLE symphonic solver to calculate Ac, u, and h