Contoured roller system and associated methods and resulting articles of manufacture
A contoured roller set and associated systems and methods are disclosed herein. A male roller having a convex surface and a pair of female rollers each having a concave surface can receive a generally thin sheet of material and impart a doubly-curved shape to the sheet. The convex and concave surfaces of the male and female rollers can have a radius of curvature chosen to match a radius of curvature of the sheet of material. The rollers are positioned and shaped to urge the sheet between the female rollers to cause the sheet to curve toward the male roller.
1. A method for producing a doubly curved shape, comprising:
receiving a member comprising a generally thin sheet of material, the member having a first side and a second side opposite the first side;
bending the member about a first axis to form a concave member surface on the first side and a convex member surface on the second side;
receiving the member between a male roller and a pair of female rollers with the male roller contacting the first side and having a convex roller surface that generally matches the concave member surface, and with the pair of female rollers contacting the second side and having corresponding concave roller surfaces that generally match the convex member surface;
imparting a doubly curved shape to the member by rotating the male roller and the pair of female rollers to bend the member about a second axis transverse to the first axis, the member having an axial arc length of less than approximately 90 degrees, the member further having an apex and a base opposite the apex; and
joining the member with at least one other member having an apex, the apexes of the members forming a closed dome segment.
2. The method of claim 1 wherein the male roller is convex about a longitudinal roller axis and convex about a transverse roller axis, and wherein imparting the doubly curved shape comprises rotating the male roller with the convex roller surface contacting the first side of the member, and wherein rotating the male roller comprises rotating the male roller about the longitudinal axis.
3. The method of claim 1 wherein the female rollers each are convex about a longitudinal axis and are each concave about a corresponding transverse roller axis, and wherein imparting the doubly curved shape comprises rotating the female rollers with the concave roller surface contacting the second side of the member, and wherein rotating the female rollers comprises rotating the female rollers about the corresponding longitudinal roller axes.
4. The method of claim 1 wherein receiving the member between the male roller and the pair of female rollers comprises receiving the member between a first male roller and a first pair of female rollers, and wherein the doubly curved shape has a first radius, and wherein the method further comprises:
receiving the member between a second male roller and a second pair of female rollers with the second male roller contacting the first side and having a convex roller surface that generally matches the concave member surface, and with the second pair of female rollers contacting the second side and having a concave roller surface that generally matches the convex member surface; and
rotating the second male roller and the pair of female rollers to further bend the member about a third axis transverse to the first axis such that the member has a second doubly curved shape, the second doubly curved shape having a smaller radius than the first doubly curved shape.
5. The method of claim 1 wherein the male roller and female rollers form a first roller set, the first roller set being one of a series of roller sets and wherein the method further comprises:
sequentially receiving the member between the male roller and female rollers of each roller set; and
rotating the male rollers and the female rollers to bend the member about the second axis, wherein the male roller and corresponding female roller of each successive set has a smaller radius than a corresponding radius of the immediately preceding set in the series.
6. A method for producing a doubly curved shape, comprising:
receiving a member comprising a generally thin sheet of material, the member having a first side and a second side opposite the first side;
bending the member about a first axis to form a concave member surface on the first side and a convex member surface on the second side;
receiving the member between a male roller and a pair of female rollers with the male roller contacting the first side and having a convex roller surface that generally matches the concave member surface, and with the pair of female rollers contacting the second side and having corresponding concave roller surfaces that generally match the convex member surface;
imparting a doubly curved shape to the member by rotating the male roller and the pair of female rollers to bend the member about a second axis transverse to the first axis, the member having an axial arc length of less than approximately 90 degrees, the member further having a truncated apex and a base opposite the truncated apex; and
joining the member with at least one other member having a truncated apex, with the members forming a partial dome and further with the truncated apexes of the members forming a ring at an end of the partial dome.
7. A method for producing a doubly curved shape, comprising:
receiving a member comprising a generally thin sheet of material, the member having a first side and a second side opposite the first side;
bending the member about a first axis to form a concave member surface on the first side and a convex member surface on the second side;
receiving the member between a male roller and a pair of female rollers with the male roller contacting the first side and having a convex roller surface that generally matches the concave member surface, and with the pair of female rollers contacting the second side and having corresponding concave roller surfaces that generally match the convex member surface;
imparting a doubly curved shape to the member by rotating the male roller and the pair of female rollers to bend the member about a second axis transverse to the first axis, the member having an axial arc length of less than approximately 90 degrees, the member further having an apex and a base;
joining the member with at least one other doubly curved member to form a partial hemisphere; and
joining the partial hemisphere with a cylinder.
8. The method of claim 7 wherein an intersection between the cylinder and the member is tangential.
9. A method for manufacturing a member with a doubly curved shape, comprising:
receiving a member comprising a generally thin sheet of material, the member having a first side and a second side opposite the first side;
bending the member about a first axis to form a concave member surface on the first side and a convex member surface on the second side;
receiving the member between a first male roller and a first pair of female rollers with the first male roller contacting the first side and having a convex roller surface that generally matches the concave member surface, and with the first pair of female rollers contacting the second side and having corresponding concave roller surfaces that generally match the convex member surface;
imparting a doubly curved shape to the member by rotating the male roller and the pair of female rollers to bend the member about a second axis transverse to the first axis, the doubly curved shape having a first radius;
receiving the member between a second male roller and a second pair of female rollers with the second male roller contacting the first side and having a convex roller surface that generally matches the concave member surface, and with the second pair of female rollers contacting the second side and having a concave roller surface that generally matches the convex member surface; and
rotating the second male roller and the pair of female rollers to further bend the member about a third axis transverse to the first axis such that the member has a second doubly curved shape, the second doubly curved shape having a smaller radius than the first doubly curved shape.
10. A method for manufacturing a member with a doubly curved shape, comprising:
receiving a member comprising a generally thin sheet of material, the member having a first side and a second side opposite the first side;
bending the member about a first axis to form a concave member surface on the first side and a convex member surface on the second side;
receiving the member between a male roller and a pair of female rollers with the male roller contacting the first side and having a convex roller surface that generally matches the concave member surface, and with the pair of female rollers contacting the second side and having corresponding concave roller surfaces that generally match the convex member surface, wherein the male roller and female roller form a first roller set, the first roller set being one of a series of roller sets;
imparting a doubly curved shape to the member by rotating the male roller and the pair of female rollers to bend the member about a second axis transverse to the first axis;
sequentially receiving the member between the male roller and female rollers of each roller set; and
rotating the male rollers and the female rollers to bend the member about the second axis, wherein the male roller and corresponding female roller of each successive set has a smaller radius than a corresponding radius of the immediately preceding set in the series.