JPS57149141A - Equipment for generating paraboloid of revolution - Google Patents

Equipment for generating paraboloid of revolution

Info

Publication number
JPS57149141A
JPS57149141A JP3566581A JP3566581A JPS57149141A JP S57149141 A JPS57149141 A JP S57149141A JP 3566581 A JP3566581 A JP 3566581A JP 3566581 A JP3566581 A JP 3566581A JP S57149141 A JPS57149141 A JP S57149141A
Authority
JP
Japan
Prior art keywords
paraboloid
line
workpiece
axis
revolution
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
JP3566581A
Other languages
Japanese (ja)
Other versions
JPH0132029B2 (en
Inventor
Kazuaki Iwata
Tatsuji Wada
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Toyoda Koki KK
Original Assignee
Toyoda Koki KK
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Toyoda Koki KK filed Critical Toyoda Koki KK
Priority to JP3566581A priority Critical patent/JPS57149141A/en
Publication of JPS57149141A publication Critical patent/JPS57149141A/en
Publication of JPH0132029B2 publication Critical patent/JPH0132029B2/ja
Granted legal-status Critical Current

Links

Classifications

    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23Q—DETAILS, COMPONENTS, OR ACCESSORIES FOR MACHINE TOOLS, e.g. ARRANGEMENTS FOR COPYING OR CONTROLLING; MACHINE TOOLS IN GENERAL CHARACTERISED BY THE CONSTRUCTION OF PARTICULAR DETAILS OR COMPONENTS; COMBINATIONS OR ASSOCIATIONS OF METAL-WORKING MACHINES, NOT DIRECTED TO A PARTICULAR RESULT
    • B23Q27/00—Geometrical mechanisms for the production of work of particular shapes, not fully provided for in another subclass
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B24—GRINDING; POLISHING
    • B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
    • B24B13/00—Machines or devices designed for grinding or polishing optical surfaces on lenses or surfaces of similar shape on other work; Accessories therefor
    • B24B13/04—Machines or devices designed for grinding or polishing optical surfaces on lenses or surfaces of similar shape on other work; Accessories therefor grinding of lenses involving grinding wheels controlled by gearing
    • B24B13/046—Machines or devices designed for grinding or polishing optical surfaces on lenses or surfaces of similar shape on other work; Accessories therefor grinding of lenses involving grinding wheels controlled by gearing using a pointed tool or scraper-like tool

Abstract

PURPOSE:To provide an accurate paraboloid of revolution without leaving any uncut portion on a workpiece on the axis of its rotation, by effecting control to move the workpiece and a tool relative to each other in the directions of the axes of rotation of the tool and the workpiece so that their displacements comply with a prescribed relationship formula. CONSTITUTION:The line of intersection of a paraboloid of revolution, which is expressed as z=1/4alpha(x<2>+y<2>) where alpha denotes the focal distance, with an arbitrary inscribed ball, whose center is denoted by Oc, is a circle MM'. A line OcP extending on the center Oc and inclined at an angle of theta to an axis (z) is used as the axis of rotation of a tool. A line PQ is used as the radius of rotation of the tool. When a workpiece is rotated once around the axis (z), portions QQ', SS' of the inscribed ball are generated. When some of the generated spherical surface portions includes the circle MM', a portion MM' of the paraboloid is cut. The center Oc is moved along the axis (z) to the center of the ball located in contact with the vertex O of the paraboloid. At the same time, the length of the line OcP is altered. As a result, the paraboloid of revolution MOM' is generated. The relationship between the line OcP=a and another line OOc=b is defined by a formula. The positions of axes A, B of the generating equipment are controlled to conform with the formula when the workpiece is rotated.
JP3566581A 1981-03-12 1981-03-12 Equipment for generating paraboloid of revolution Granted JPS57149141A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP3566581A JPS57149141A (en) 1981-03-12 1981-03-12 Equipment for generating paraboloid of revolution

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP3566581A JPS57149141A (en) 1981-03-12 1981-03-12 Equipment for generating paraboloid of revolution

Publications (2)

Publication Number Publication Date
JPS57149141A true JPS57149141A (en) 1982-09-14
JPH0132029B2 JPH0132029B2 (en) 1989-06-29

Family

ID=12448160

Family Applications (1)

Application Number Title Priority Date Filing Date
JP3566581A Granted JPS57149141A (en) 1981-03-12 1981-03-12 Equipment for generating paraboloid of revolution

Country Status (1)

Country Link
JP (1) JPS57149141A (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO1985001237A1 (en) * 1983-09-19 1985-03-28 Robertson Engineering (Thame) Limited Lathe for generating aspherical surfaces

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2022102461A (en) 2020-12-25 2022-07-07 株式会社リコー Video generation apparatus, video generation method, program, and storage medium

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO1985001237A1 (en) * 1983-09-19 1985-03-28 Robertson Engineering (Thame) Limited Lathe for generating aspherical surfaces

Also Published As

Publication number Publication date
JPH0132029B2 (en) 1989-06-29

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