acceleration, instantaneous time and average acceleration. For any layer the force

equation is

2K ((Lmax- Li) +dmin) cos O i 2Wts cos (90- 0 i) cos 0 i

 2- 2 (Mp (.5C+j)) + (.5C+j) Ff (2.16)
 dt2

 As mentioned above with regards to equation (2.4) the structure is non-linear and

hence a simulation technique is adopted to determine the velocity and time at every

instant of position. The instantaneous time, velocity and acceleration for all positions is

then determined.

At position Xo = Xd

 to (Xo)= 0

 Vo (Xo) = 0

 S= 2K((Lmax-Lxd)+d)coSxd -(.5C+ j)F 2 cos0-0xd)COS d,
 Ao (Xo) -
 M (.5C+j)

At position X1 = Xo + .01

 2K((Lmax -Lx)+dmn)cosxi -(.5C+ j)Ff -2W cos0-0, )coso,
 Ai (Xi) =
 M (.5C+j)

 Aiv (Xi)= .5(Ao (Xo) + A, (Xi))

 S( (X )+ (V0 (X0 )2 +.04A1 (X1))
 2AV(X,)

 V1 (Xi) = Vo (Xo) + Aiv (X1) tj (X1)

At position X2 = X1 + .01

 2K((Lmax -Lx2) +dmn) coS,2 -(.5C+ j)Ff 2W cosO- 02) coSO,
 A2 (X2)(.5Cj)
 M (.5C+ j)