Kn= (3Mp(j)+6M(j-1))A, +6W, cos(90-,,)cosO,, +3Wp(j)+6W(j-1)
6((Lmax L,,) + dmn ) cosOz,
Approximate altered stiffness of the spring
ZK,
Kj (3.29)
As this is not an accurate but an approximated solution, the value of Kj should be
used in case 3.42 and iterated until the accurate value is obtained. Similarly, the stiffness
of all springs in the corresponding levels is determined. The Matlab program
"PROG3M" as shown in the appendix A, is used to perform this calculation.
3.4.4 Forces Acting on the Hinge
Forces on the hinge when the mast is fully deployed
F = Kdmin
Fx = Kdmin cos45
Fz = Kdmin sin45
Forces on the hinge when the mast is fully stowed
F = K((Lmax- Lmin) +dmin)
Fx = K((Lmax Lmin) +dmin) cos90
Fz = K((Lmax- Lmin) +dmin) sin90
Forces on the hinge during deployment
F =K((Lmax- L) +dmin) (3.30)
Fx = K((Lmax- Li) +dmin) cos i (3.31)
Fz = K ((Lmax L) +dmin) sin i (3.32)