A2v (X2) = .5(Ai (Xi) + A2 (X2))

 (X1) +( (X, )2 +. 04A2 (X2))5
 t2 (X(X2)


 V2 (X2) = V1 (Xi) + A2V (X2) t2 (X2)

At position Xn = X (n-1) +.01

 A (Xn) 2K((Lmax -L,) +dmn) cosxn -(.5C+j)Ff -2W, cose0-0,) cos, (2.17)
 M (.C+ j)


 Anv (Xn)= .5(An-1 (Xn-1) + An (Xn))

 tn (Xn) -V- (X,_1 ) + ( n_1 (X, 1 )2 +.04A, (X,)) 5
 2A,, (X,,)

 Vn (Xn) = Vn-1 (Xn-1) + AnV (Xn) tn (Xn)

Total time taken to deploy the layer,


(2.18)


(2.19)


(2.20)




(2.21)


TT =
 1=1


Total time taken to deploy the structure


 N
TTS = 2 ZTT
 j=1


(2.22)


 Hence the instantaneous time, velocity and acceleration with respect to position for

any layer is determined. The total time taken to deploy the structure is also determined.

The Matlab program "PROG2T" as shown in the appendix A, is used to perform these

calculations.

2.4.3 Alteration of the Stiffness of the Springs

 From equation (2.21) the time taken to deploy the various layers on any side is

determined. For reasons due to uniformity and better performance (more importantly in

space applications) the stiffness of the springs should be designed in such a way that the