Annular-pleated circular braid

1. A tube comprising a plurality of left-handed and right-handed fibers braided to form a channel inside the tube and adapted to longitudinally extend from a compressed length to an extended length

in response to a longitudinal extension force, wherein:

a) the tube is adapted to, when contracting from its extended length to its compressed length, compress into a plurality of annular pleats, each annular pleat comprising an annular ridge and an annular valley and having an inner diameter which is greater at the annular ridge than at the annular valley; and

b) for each annular pleat, the annular ridge from that annular pleat and the annular valley from that annular pleat are both centered around a longitudinal axis of the channel inside the tube;

wherein the tube is adapted to compress into the plurality of annular pleats based on the plurality of left-handed and right-handed fibers being heat set into a configuration comprising the plurality of annular pleats; and

wherein each annular ridge from the plurality of annular pleats comprises a plurality of areas melted in the pleated configuration.

2. The tube of claim 1 , wherein the plurality left-handed and right-handed fibers define a first pitch angle between about 5 to 20 degrees when the tube is at the compressed length.

3. The tube of claim 2 , wherein the plurality left-handed and right-handed fibers define a second pitch angle of about 30 degrees when the tube is at the extended length.

4. The tube of claim 1 , wherein the extended length is at least four times the compressed length.

5. The tube of claim 1 , wherein the tube comprises a middle cover disposed in the channel inside the tube.

6. The tube of claim 1 , wherein the tube is adapted to compress into the plurality of annular pleats based on, for each annular pleat from the plurality of annular pleats, a polymer material being bonded to the annular ridge of that annular pleat.

7. The tube of claim 1 , wherein the fibers from the plurality of left-handed fibers and the plurality of right-handed fibers are yarns.

8. A tube comprising a braided fabric comprising a plurality of right and left handed fibers formed into a circular braid defining an interior channel, wherein the braided fabric is adapted to:

a) longitudinally extend from a compressed length to an extended length in response to a longitudinal extension force;

b) compress from the extended length to the compressed length in response to a longitudinal compression force; and

c) form a plurality of repeating annular pleats when at the compressed length;

wherein the braided fabric is adapted to form the plurality of repeating annular pleats based on being heat set into a configuration comprising the plurality of annular pleats; and

wherein each pleat from the plurality of repeating annular pleats comprises an annular ridge, and wherein the fibers comprised by the braided tube are melted at the annular ridges from the plurality of repeating annular pleats.

9. The tube of claim 8 , wherein the braided fabric is adapted to form the plurality of repeating annular pleats based on a polymer material bonded to the braided fabric.

10. The braided tube of claim 9 , wherein:

a) each annular pleat from the plurality of repeating annular pleats comprises an annular ridge; and

b) the polymer material is bonded to the annular ridges from the plurality of annular pleats.

11. A tube comprising:

a) a tube shaped cover comprising a plurality of left-handed and right-handed fibers braided to form a channel inside the tube shaped cover and adapted to longitudinally extend from a compressed length to an extended length in response to a longitudinal extension force;

b) a pleat forming means for forming a plurality of annular pleats along a length of the tube shaped outer cover when it contracts from the extended length to the compressed length, wherein:

i) each annular pleat from the plurality of annular pleats comprises an annular ridge and an annular valley and has an inner diameter which is greater at its annular ridge than at its annular valley; and

ii) for each annular pleat, the annular ridge from that annular pleat and the annular valley from that annular pleat are both centered around a longitudinal axis of the channel inside the tube shaped cover;

wherein the pleat forming means is the plurality of left-handed and right-handed fibers, the plurality of left-handed and right-handed fibers having been heat set into a configuration comprising the plurality of annular pleats; and

wherein the plurality of left-handed and the plurality of right-handed fibers comprise melted portions.

12. The tube of claim 11 , wherein the pleat forming means comprises a polymer material bonded to the plurality of annular pleats.

13. The tube of claim 12 , wherein the polymer material comprises a polymer material bonded to the annular ridges from the plurality of annular pleats.

14. The tube of claim 7 , wherein the plurality of areas melted in the pleated configuration are melted sufficiently to make the yarns resistant to sliding past one another.

15. The tube of claim 7 , wherein:

a) the yarns comprise individual yarns, each of the individual yarns comprising a plurality of filaments; and

b) the yarns in the plurality of areas melted in the pleated configuration are partially bonded, with the bonding primarily being between filaments within individual yarns.

16. A tube comprising a plurality of left-handed and right-handed fibers braided to form a channel inside the tube and adapted to longitudinally extend from a compressed length to an extended length

in response to a longitudinal extension force, wherein:

a) the tube is adapted to, when contracting from its extended length to its compressed length, compress into a plurality of annular pleats, each annular pleat comprising an annular ridge and an annular valley and having an inner diameter which is greater at the annular ridge than at the annular valley; and

b) for each annular pleat, the annular ridge from that annular pleat and the annular valley from that annular pleat are both centered around a longitudinal axis of the channel inside the tube;

wherein the tube is adapted to compress into the plurality of annular pleats based on, for each annular pleat from the plurality of annular pleats, a polymer material being bonded to the annular ridge of that annular pleat.

17. A tube comprising a braided fabric comprising a plurality of right and left handed fibers formed into a circular braid defining an interior channel, wherein the braided fabric is adapted to:

a) longitudinally extend from a compressed length to an extended length in response to a longitudinal extension force;

b) compress from the extended length to the compressed length in response to a longitudinal compression force; and

c) form a plurality of repeating annular pleats when at the compressed length;

wherein the braided fabric is adapted to form the plurality of repeating annular pleats based on a polymer material bonded to the braided fabric.

18. The braided tube of claim 17 , wherein:

a) each annular pleat from the plurality of repeating annular pleats comprises an annular ridge; and

b) the polymer material is bonded to the annular ridges from the plurality of annular pleats.

19. A tube comprising:

a) a tube shaped cover comprising a plurality of left-handed and right-handed fibers braided to form a channel inside the tube shaped cover and adapted to longitudinally extend from a compressed length to an extended length in response to a longitudinal extension force;

b) a pleat forming means for forming a plurality of annular pleats along a length of the tube shaped outer cover when it contracts from the extended length to the compressed length, wherein:

i) each annular pleat from the plurality of annular pleats comprises an annular ridge and an annular valley and has an inner diameter which is greater at its annular ridge than at its annular valley; and

ii) for each annular pleat, the annular ridge from that annular pleat and the annular valley from that annular pleat are both centered around a longitudinal axis of the channel inside the tube shaped cover;

wherein the pleat forming means comprises a polymer material bonded to the plurality of annular pleats.

20. The tube of claim 19 , wherein the polymer material comprises a polymer material bonded to the annular ridges from the plurality of annular pleats.