Claims
- 1. A method for manufacturing a quadric surface on a workpiece comprising:
- providing a bed for supporting an apparatus for manufacturing said quadric surface, said bed being parallel to an X-Y plane;
- securing a working tool having a linear working edge to a tool mounting assembly which comprises a supporting frame mounted on said bed, a tool holding member having a substantially U-shaped side-elevational configuration including an upper arm and a lower arm connected to said upper arm by a middle tool carrying portion, the upper arm being journalled to the supporting frame so as to be rotatable with respect to said frame and being pivotably connected to said middle tool carrying portion by a connecting rod so that said upper arm is pivotable relative to said middle portion, and the lower arm being journalled to said bed by a focus shaft whereby said tool holding member is rotatable about said focus shaft extending in an XZ plane passing through an origin of rectangular coordinates of X, Y and Z axes and being in parallel with the Z axis, said lower arm being slidably connected to said focus shaft so as to be slidable linearly in parallel with the XY plane, and said connecting rod having an axis which is parallel to the Z axis said working tool being arranged in such a manner that its working edge is faced against an axial line of said focus shaft and lies in the XY plane and that a longitudinal direction of the working edge makes an angle .theta. with respect to a line which is obtained by projecting a sliding direction of said tool holding arm onto the XY plane; moving a cross point between the working edge and said projected line along a circle having a center at the origin of the XY coordinates;
- securing a workpiece to be shaped to a workpiece mounting member, slidably and rotatably mounted on said bed in such a manner that a center axis of the workpiece lies in an X'Z plane formed by the Z axis and an X' axis which is obtained by rotating the X axis by an angle (.pi./2-.theta.) about the focus shaft; and
- moving the working tool and the workpiece relative to each other to form the workpiece into a quadric surface in accordance with the quadric surface formed by said working edge as an envelope of tangents.
- 2. A method according to claim 1, wherein said focus shaft and the Z axis are situated on the same side of the working edge so as to form an elliptic surface.
- 3. A method according to claim 2, wherein said workpiece and working edge are rotated relative to each other about the X' axis so as to form an ellipsoidal surface of revolution.
- 4. A method according to claim 2, wherein said workpiece and working edge are moved relative to each other in parallel with the Z axis so as to form an elliptic cylinder.
- 5. A method according to claim 2, wherein the workpiece and working edge are rotated relative to each other about a point on the X' axis so as to form a toric body with an ellipsoidal surface of revolution.
- 6. A method according to claim 1, wherein said focus shaft and the Z axis are situated on respective sides of the working edge so as to form a hyperbolic surface.
- 7. A method according to claim 6, wherein said workpiece and working edge are rotated relative to each other about the X' axis so as to form a hyperboloid of revolution.
- 8. A method according to claim 6, wherein said workpiece and working edge are moved relative to each other in parallel with Z axis so as to form a hyperbolic cylinder.
- 9. A method according to claim 6, wherein said workpiece and working edge are rotated relative to each other about a point on the X' axis so as to form a toric body with a hyperboloid of revolution.
- 10. A method according to claim 1, wherein said cross point between the working edge and the projected line is moved along the Y axis and said focus shaft is situated on that side of the Z axis which faces the working edge so as to form a parabolic surface.
- 11. A method according to claim 1, wherein said workpiece and working edge are rotated relative to each other about the X' axis so as to form a paraboloid of revolution.
- 12. A method according to claim 10, wherein said workpiece and working edge are moved relative to each other in parallel with the Z axis so as to form a parabolic cylinder.
- 13. A method according to claim 10, wherein said workpiece and working edge are rotated relative to each other about a point on the X' axis so as to form a toric body with paraboloid of revolution.
- 14. A method according to claim 1, wherein a master mold is formed by transferring the workpiece having the surface formed in the quadric configuration and the master mold thus formed is used to form another workpiece into a corresponding quadric surface by copy-grinding.
- 15. A method according to claim 1, wherein a master mold is formed by transferring the workpiece having the surface formed in the quadric configuration and the master mold thus formed is used to form another workpiece into a corresponding quadric surface by press-molding.
Priority Claims (2)
Number |
Date |
Country |
Kind |
55-86964 |
Jun 1980 |
JPX |
|
56-14691 |
Feb 1981 |
JPX |
|
Parent Case Info
This application is a continuation of application Ser. No. 276,737, filed June 24, 1981.
US Referenced Citations (8)
Continuations (1)
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Number |
Date |
Country |
Parent |
276737 |
Jun 1981 |
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