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Curve plotting method and curve plotter for implementing same

A curve drawing and curve technology, applied in the field of mathematics teaching and research, can solve problems such as difficult to draw by hand, difficult to further study and understand rose lines, etc., to achieve the effect of simple structure, convenient operation and easy portability

Inactive Publication Date: 2015-02-18
GUANGDONG UNIV OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

These rose lines have beautiful lines and are widely used, but they are difficult to draw by hand, which makes it difficult for students to further study and understand the characteristics of these rose lines in classroom learning

Method used

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  • Curve plotting method and curve plotter for implementing same
  • Curve plotting method and curve plotter for implementing same
  • Curve plotting method and curve plotter for implementing same

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0043] The present invention will be further described below in conjunction with accompanying drawing:

[0044] The present invention first discloses a curve drawing method, which specifically includes the following steps:

[0045] 1) if figure 1 As shown, make N(N≥2) drawing arms first connected, figure 1 In N=4, the brush component A used for drawing lines is provided with the end of the Nth drawing arm;

[0046] 2) Make the nth (nfigure 1 The intermediate shafts are all set at the head end of the drawing wall;

[0047] 3) Adjust the drawing arm ie figure 1 The lengths of the drawing arms H1, H2, H3, and H4 in the drawing are to adjust the distance between two adjacent rotating shafts and / or the distance between the brush part and the fourth rotating shaft, and / or adjust the angular velocity of the drawing arm, and the brush Component A draws curves of different moving trajectories, and the coordinate equations of these curves can be expressed by the following general fo...

Embodiment 2

[0054] Such as figure 2 Shown is the first embodiment of the method of the present invention, figure 1 The curve drawing instrument shown in includes a brush part A, a gear drive mechanism and N drawing arms, N=4, and the setting method of the N drawing arms is the same as figure 1 . The gear driving mechanism is arranged between every two adjacent drawing arms, and each gear driving mechanism is connected with each other.

[0055] Drive the first drawing arm to rotate around the first rotation axis, the gear drive mechanism located between the first drawing arm H1 and the second drawing arm H2 is driven by the rotating first drawing arm H1, and drives the subsequent gears The driving mechanism operates so that the n+1th drawing arm rotates around the n+1th rotation axis parallel to the nth rotation axis while the nth drawing arm rotates around the nth rotation axis.

[0056] The gear drive mechanism such as the gear drive mechanism between the drawing arms H1 and H2 inclu...

Embodiment 3

[0080] image 3 The curve drawing instrument is a kind of simple and easy embodiment of the inventive method, as image 3 As shown, the curve plotter includes an alignment fixing block 31, a mounting frame 32, a first drawing arm H1, a second drawing arm H2, a brush part A and a gear drive mechanism.

[0081] The mounting frame 32 is arranged horizontally in a strip shape, and a row of round holes 321 are vertically arranged on it along its length direction. A row of circular holes 321 is arranged so that the distance from the sun gear support 71 (to be mentioned later) of the gear drive mechanism to the alignment fixed block 31 can be adjusted.

[0082] Same as the second embodiment, the gear drive mechanism includes a sun gear assembly, a planetary gear assembly and an idler gear assembly. The sun gear assembly includes a sun gear support 71 and a fixed sun gear set and a sleeve 72 that can rotate around it. The planetary gear assembly includes a planetary gear bracket 81...

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Abstract

The invention discloses a curve plotting method and a curve plotter for implementing the same. The curve plotting method comprises the following steps: (1) connecting the first ends of N plotting arms and arranging a painting brush component for line drawing on the Nth plotting arm, wherein N is larger than or equal to 2; (2) enabling the nth plotting arm to rotate around an nth rotating shaft, and enabling the (n+1) plotting arm to rotate around a (n+1)th rotating shaft parallel to the nth rotating shaft while rotating around the nth rotating shaft along with the nth plotting arm, wherein n is smaller than N; (3) adjusting the distance between the two rotating shafts and / or the distance between the painting brush component and the Nth rotating shaft and / or the angular velocity of the plotting arms to plot curves with different movement tracks through the painting brush component.

Description

technical field [0001] The invention relates to a curve drawing method and a curve drawing instrument for implementing the method, and the invention can be applied to the fields of higher mathematics teaching and research. Background technique [0002] Some important curves in advanced mathematics, such as the rose line, are difficult to draw by hand due to their complex changes, which is not conducive to further research on their changing characteristics by researchers and learners, and also hinders the creation of art lovers. [0003] People often know the coordinate system equations of these curves. For example, the polar coordinate equation of the three-leaf rose line is ρ=Acos(3β), and the polar coordinate equation of the four-leaf rose line is ρ=Acos(2β). The polar coordinate equations of these rose curves are very simple , the basic form is: ρ=Acos(nβ), that is, the polar radius ρ of any point is a function of angle β, and its rectangular coordinate equation is: x=Asi...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): B43L13/00B43L13/24B43L9/02B43L11/00
CPCB43L9/02B43L11/00B43L11/04B43L13/24
Inventor 赵浩森胡兆勇
Owner GUANGDONG UNIV OF TECH
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