Tapered spiral welded structure
A method for creating a tapered spiral welded conical structure where the overall shape of the cone is first graphically slit axially and unwrapped, and then a series of construction arcs and lines are created to form the edge lines of a strip that can then be wrapped (rolled) to form a tapered conical structure. The edges of the spirally wound strip can be welded together, and a very large conical structure can thus be achieved. Various construction options are presented from a constant width strip to strip made from straight segments. Equations are given for the formation of the strips to enable those skilled in the art of spiral welded tubing to practice the invention.
1. A collection of parts comprising:
a plurality of planar sheets, each planar sheet of the plurality of planar sheets having a first edge and a second edge, wherein the planar sheets of the plurality of planar sheets are collectively dimensioned such that, in a particular planar configuration, the first edges of the plurality of planar sheets collectively comprise a first curve including at least one point that is not collinear with a line formed by a pair of other points on the first curve, and the second edges of the plurality of planar sheets collectively comprise a second curve, wherein there exists a rotation about an axis such that the first curve coincides with the second curve when rotated by the rotation, and at least one point along the first curve has a different minimum distance to the second curve than at least one other point along the first curve.
2. The collection of claim 1 , in which the planar sheets comprise a metal.
3. The collection of claim 2 , in which the metal includes steel.
4. The collection of claim 1 , in which planar sheets are dimensioned such that they may be collectively assembled, without in-plane deformation of any sheet, into a frusto-conical structure by joining each sheet to at least a corresponding sheet.
5. The collection of claim 1 , in which each planar sheet includes four edges.
6. The collection of claim 5 , in which each planar sheet is a trapezoid.
7. The collection of claim 1 , wherein each sheet of the plurality of planar sheets has an equal width.
8. The collection of claim 1 , wherein each sheet of the plurality of planar sheets is formed from straight strips of metal stock.
9. The collection of claim 1 , wherein the second curve is a rotated copy of the first curve.
10. The collection of claim 1 , wherein the plurality of planar sheets is formable into a frusto-conical structure in a single wrap.
11. The collection of claim 1 , wherein the plurality of planar sheets is formable into a frusto-conical structure in a plurality of wraps.