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Conical curve drawing device

A technology of conic curves and guide rails, which is applied in the field of purely mechanical structure to realize the drawing of conic curves, can solve the problems of not drawing conic curves accurately, and achieve the effect of low cost and simple operation

Inactive Publication Date: 2015-01-28
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Although conic sections are studied and applied throughout high school, college, and engineering applications, so far there is no conic section on the market that can accurately draw different equations

Method used

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  • Conical curve drawing device
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Embodiment Construction

[0016] Specific embodiments of the present invention are described below with reference to the accompanying drawings. The length of the x guide rail of the present invention is 275mm, the length of the y guide rail is 280mm, and the length of the inclined straight guide rail is 300mm, and the x guide rail, the y guide rail, the x' guide rail, and the y' guide rail are all double guide rail structures, and each guide rail is a cylindrical rod shape with a diameter of 6mm. The guide rail and the slider are connected by linear bearings; the X guide rail and the Y guide rail are integrally fixed, and the XY guide rail part and the inclined straight guide rail part are hinged. Loosen the hinge to adjust the angle of the two parts. ;Tighten the hinge, and the drawing function can be realized by simple operation. In the rack and pinion transmission part, two of the gears are precision gears with 0.5 die, 20 teeth, and 11mm in diameter;

[0017] Construct one model, and this model...

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Abstract

The invention discloses a conical curve drawing device which can draw parabolas, ellipses and hyperbolas. When conical curve drawing is needed, the angle between an L-shaped mechanism and a base guide rail is set first according to the eccentricity of a conical curve, the acute angle between the base guide rail and an x guide rail is set to be theta, the base guide rail is fixed, and focal points are fixed; the L-shaped mechanism is pushed along the base guide rail, a rack 2 fixed with an x slider move a distance of delta y in the direction of a y guide rail, the distance of delta y is transmitted to a rack 1 through a gear, and the length of delta y is increased by the distance between a pencil to the focal points; a straight rod fixed with a y slider moves a distance of delta x in the direction of the x guide rail, that is to say, the length of delta x is increased by the distance between the pencil to the directrix of the drawn conical curve; due to the fact delta y / delta x=tan theta is of a certain value, ratio of the distance from the pencil to the focal points to the distance from the pencil to the directrix of the drawn conical curve is constant and equal to tan theta, conformation to the definition of the double curve is achieved, and drawing of the parabolas, the ellipses and the hyperbolas is achieved.

Description

Technical field [0001] The invention adopts a purely mechanical structure to realize the drawing of conic curves (parabola, ellipse, hyperbola). Background technique [0002] Conic sections include ellipses, parabolas, and hyperbolas, which have always been one of the important topics in geometry research, and there are many conic sections in our real life. [0003] The earth we live in moves on an elliptical orbit around the sun every moment, and so do other planets in the solar system, and the sun is located at one focus of the ellipse. If the speed of these planets increases to a certain extent, they will follow a parabola or hyperbola. Human beings launch artificial earth satellites or artificial planets to follow this principle. No other orbit is possible with respect to the motion of a body which is attracted by the law of gravitation to another body. Thus, conics in this sense constitute the basic form of our universe. Many important curved surfaces are also deriv...

Claims

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Application Information

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IPC IPC(8): B43L11/02B43L11/05
CPCB43L11/02B43L11/05
Inventor 吕强徐阳阳左星星雍鹏罗春春
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA
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