Design example
SPACE collapsible tube mast
Long booms or masts are frequently required on spacecraft for a variety of
purposes, such as supports for solar arrays, as antennas, or to locate
experiments remote from the spacecraft environment. Prior to, and during, launch
the masts must be stored in a compact form on board the spacecraft. There may
also be a need to retract and redeploy masts when in orbit, for example to
minimize the angular momentum during changes in the attitude of the spacecraft.
A variety of designs of extensible or foldable masts have been developed. Some
are based on a series of telescopic tubes, others make use of the collapsible
tube principle consisting of a thin walled tube of elastic material, split
longitudinally, which is opened out flat and coiled for launch. When uncoiled,
it reverts to a circular cross-section and in some designs, provision is made
for the edges of the split to interlock mechanically to increase the rigidity.
The collapsible tube mast (CTM) is a closed tube of lenticular cross-section
that can be flattened and then reeled on a drum for storage in a relatively
small volume. Collapsible masts made from thin metal sheet were explored in the
United States space programme in the 1960s.
Design details
A design for a lenticular collapsible tube mast is shown in cross-section
below.

Collapsible Tube Mast section
It consists of two channel sections, each composed of circular arcs and
joined at the flanges by welding or adhesive bonding. The tube shape and size
are characterized by four parameters:
- The shape radius (r)
- The shape angle (f)
- The flange width (b)
- The wall thickness (t)
Variation of the shape angle between 0 and 90° produces a
family of cross-sections, with small values of f
yielding flat tubes, and large values giving rise to a more bulbous shape. At
small angles, the bending stiffness EIZ is
higher than EIx, and in practice the tube is
often required to have approximately equal stiffness about the x and z axes.
This occurs for f = 1.4 radians, but to provide equal
buckling resistance about the x and z axes a slight compromise is necessary and
this is given by a value of 1.3 radians (~75º). In
order to maintain the flattening strain to within acceptable limits (0.4%), the
wall thickness for a shape radius (r) of 20 mm needs to be approximately 0.16
mm. To keep the overall stress level low, strains should be less than 0.25% and
this gives the radius of the coiling drum R = 64 mm. The values of r and t,
together with the external volume of the storage compartment that can be
accommodated in the spacecraft, define the number of turns and hence the length
of mast that can be carried. As an example, approximately 60 m of mast can be
carried in a storage volume of approximately 24 litres using the above
dimensions. The width of the flanges is determined partly by the shear stress
between the tube halves, partly by the need to minimize the overall storage
volume, and partly by the requirement that sufficient width must be provided to
enable the deployment mechanism to engage.
Deployment Mechanism
The deployment mechanism is shown below.

CTM storage box and deployment mechanism
Material and fabrication method
The stresses induced by flattening and coiling, together with
consideration of longitudinal stiffness for the mast dictate a material with
orthotropic properties, and the need to fabricate masts some tens of metres in
length suggests a plain weave fabric as the most convenient feedstock material.
In considering methods for fabricating long lengths of mast, truly continuous
processes such as pultrusion and roll-forming must be rejected because of the
risk of damaging or distorting the very thin fabrics required. An alternative
technique is sequential moulding where high longitudinal stresses inherent in,
for example, the pultrusion process are avoided. The principle of the method, as
developed for the production of continuous profiles from metal or ceramic
powders, is shown below.

Principle of sequential moulding compaction
Adaptation to the formation of the mast half-profile is
straightforward using the open-ended die-set illustrated below.

Experimental die setup
Production
Production of the mast takes place in two stages. In the first
stage, illustrated below, preimpregnated fabric from a storage reel is
sandwiched between two carrier strips of aluminium foil, 0.24 mm thick, which
are treated, on their inner surfaces, with a release agent to prevent adhesion
to the feedstock.

Schematic of CTM forming stage
After passage through the press, excess width is trimmed from
the flanges of the moulded profile by a pair of guillotine blades mounted
symmetrically about the apex of the profile. When a thermosetting matrix is
used, a partial post-cure is given prior to removal of the carrier strips,
whereupon the half-profile is flattened and reeled on to a storage drum. In the
second stage, two identical half-profiles are bonded together at the flanges to
form the mast.
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