Abstract: A method, process and apparatus for generating complex shapes without the use of dies, molds, or other fixed tooling. A continuous length or flow of a malleable or fluent material is provided to a forming apparatus which shapes the material, producing a contiguous series of smoothly blended, properly contoured portions of the desired shape. The formation of a shape relies on continuous control of shape-determining variables: the instantaneous cross-section of the shape in a virtual transition surface between the formable and formed material, the rate-of-change of cross-sectional dimensions between sequential cross-sections, the instantaneous angle of movement of the material at any point on the cross-section in the transition surface, and the rate of movement away from the transition surface of the just-stabilized portion of the shape. The material is stabilized as these shape-determining variables achieve the proper values in each portion of the material.

Abstract: A method, process and apparatus for generating complex shapes without the use of dies, molds, or other fixed tooling. A continuous length or flow of a malleable or fluent material is provided to a forming apparatus which shapes the material, producing a contiguous series of smoothly blended, properly contoured portions of the desired shape. The formation of a shape relies on continuous control of shape-determining variables: the instantaneous cross-section of the shape in a virtual transition surface between the formable and formed material, the rate-of-change of cross-sectional dimensions between sequential cross-sections, the instantaneous angle of movement of the material at any point on the cross-section in the transition surface, and the rate of movement away from the transition surface of the just-stabilized portion of the shape. The material is stabilized as these shape-determining variables achieve the proper values in each portion of the material.