Displacement after which the structure is self-deployable Xd = .2 m
Co-efficient of friction between the plate and ground ./ =.1
Solution:
From equations (2.5) to (2.9)
Friction Force Ff= .1962 N
Number of layers on each side N = 2
Number of plates C = 3
Weight of the top member Wts = .4905 N
Total length of strut when deployed Lmax = 1.414 m
2.4.1:
From equations (2.11) to (2.15)
Minimum deflection of the springs dmin = .1514 m
Minimum stiffness of spring in layer 1 K1 = 4.4 N/m
Minimum stiffness of spring in layer 2 K2 = 5.28 N/m
2.4.2:
For layer 1
From equations (2.17) to (2.22)
Stiffness of the spring K = 5.0 N/m
Table 2-1 Time, displacement, velocity and acceleration at different positions of layer 1
Position of the layer Time Displacement Velocity Acceleration
(sec) (m) (m/sec) (m/sec2)
At the self deployable 0 .2 0 .0851
position
At the fully deployed 3.389 1 .5148 .0183
position
At the maximum 2.419 .59 .3546 .2326
acceleration position