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Fig. 5. Graphs of variance of the soil normal reactions on three legs of the spacecraft

in the contact points (

1

,

2

,

3

) on the surface of a celestial body at different forces in

the shock absorber

soil reaction force on the legs is small but the strut inclination angle after

landing is also small (

α

f

= 32

.

3

). This case is unacceptable since a critical

angle of the strut inclination after the spacecraft landing must not exceed

α

fl

= 30

.

0

. Considering force excitations in the shock absorbers in the

third case, the strut inclination angle is lower than the accepted value after

the spacecraft landing. Therefore, for the legs of the given dimensions and

for the given design parameters of the spacecraft, the second case, where

the strut inclination angle after the spacecraft vertical landing is

α

f

= 43

.

4

,

proves to be more acceptable.

We shall estimate different parameters of the spacecraft landing under

the following initial conditions:

y

0

= 1

.

4

m,

V

y

0

= 0

.

1

,

V

x

0

= 0

,

μ

1

=

μ

2

= 0

.

2

,

ϑ

0

= 10

,

θ

g

= 0

. Fig. 6 shows graphs of variance

of the soil normal reactions on the spacecraft legs.

It is clear that at the first moment there is a contact between the second

and the third legs. Then the spacecraft turns around on these legs until the

first leg touches the soil. When the first leg touches the soil, the soil normal

reaction force on the second and the third legs decreases to zero two times.

Fig. 7 contains graphs of variance of the deformation of the shock

absorbers during the spacecraft landing. The graphs of variance show that

Fig. 6. Graphs of variance of the soil normal reaction forces

F

N

1

,

F

N

2

on the first

(

) and the second ( ) legs

32 ISSN 0236-3941. HERALD of the BMSTU. Series “Mechanical Engineering”. 2014. No. 1