CN103909772A - Ellipsograph allowing for stepless regulation of radius of long and short shafts and design method thereof - Google Patents
Ellipsograph allowing for stepless regulation of radius of long and short shafts and design method thereof Download PDFInfo
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- CN103909772A CN103909772A CN201410139873.0A CN201410139873A CN103909772A CN 103909772 A CN103909772 A CN 103909772A CN 201410139873 A CN201410139873 A CN 201410139873A CN 103909772 A CN103909772 A CN 103909772A
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- China
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- bevel gear
- pivoted arm
- major
- ellipsograph
- minor axis
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Abstract
Disclosed are an ellipsograph allowing for stepless regulation of radius of long and short shafts and a design method thereof. The ellipsograph comprises a rotary arm. A main shaft perpendicular to the rotary arm penetrates the front end of the rotary arm and is sleeved with a bevel gear A. The bevel gear A meshes with a bevel gear B on one side. The bevel gear B is fixed at one end of a rotary shaft horizontally arranged. The rear end of the rotary shaft is sleeved with a bevel gear D. The bevel gear D meshes with a bevel gear C longitudinally arranged. A rotary shaft moving synchronously with the bevel gear C and extending down is fixed in the bevel gear C. A transverse shaft forming a 90 degree angle with the rotary shaft is fixed to the middle of the rotary shaft. A pen in the same direction with the rotary shaft is fixed on the transverse shaft. The ellipsograph has the advantages of reasonable design, simple structure, portability, convenience of operation and stepless regulation of the radius of long and short shafts, is applicable to drawing ellipses with different requirements, is widely applicable to engineering or study practice, and has promising application prospect.
Description
Technical field
The invention belongs to drafting the Ellipse tool, relate to the stepless adjustable ellipsograph of a kind of major and minor axis radius and method for designing thereof.
Background technology
The oval method of existing drafting has a lot, and conventional have trace-point method, a construction with ruler and compasses etc.But the ellipse that these methods are drawn is not the operating process complexity of the oval and drafting of standard.Also have a variety of and draw specially oval instrument-ellipsograph.As: crosshead shoe ellipsograph
[1], planetary ellipsograph
[2], connecting rod slider-type ellipsograph
[3], but their most complicated operations, complex structure, carries inconvenience, adjusting major and minor axis length that can not be stepless.Yet there are no one not only can step-less adjustment but also simply and easily ellipsograph be applied in the middle of actual production life.
Summary of the invention
In order to overcome the above-mentioned shortcoming of prior art
,the invention provides a kind of stepless adjustable ellipsograph of major and minor axis radius simple to operate, simple in structure, easy to carry, can step-less adjustment major and minor axis length of drawing
.
The technical solution adopted for the present invention to solve the technical problems is: the stepless adjustable ellipsograph of a kind of major and minor axis radius, comprise a pivoted arm, be interspersed with a main shaft vertical with pivoted arm at pivoted arm front end, on main shaft, be set with a bevel gear A, bevel gear A engages with the bevel gear B of a side, bevel gear B is fixed on horizontal gyroaxis one end, be set with a bevel gear D in gyroaxis rear end, the bevel gear D bevel gear C longitudinal with is meshed, in bevel gear C, being fixed with one is synchronized with the movement to the rotating shaft of downward-extension with bevel gear C, the centre position place of rotating shaft is fixed with one and is the transverse axis at 90 ° of angles with rotating shaft, on transverse axis, be fixed with one with rotating shaft paintbrush in the same way.
The stepless adjustable method for designing of above-mentioned major and minor axis radius, comprises the steps: to set up rectangular coordinate system taking the intersection of main shaft and pivoted arm as origin of coordinates O, and using the intersection point of rotating shaft and pivoted arm as A
1, using in paintbrush motion process with gyroaxis overlapping as B, establish OA
1=(a+b)/2, A
1b=(a-b)/2, wherein a, b is respectively the radius of major axis, minor axis, A
1b is around A
1point dextrorotation turns over 2 θ angles, obtains B
1thereby, form line segment A
1b
1, extend A
1b
1, build OAA such as ⊿ such as Xing such as lumbar triangle such as Deng
1,
∠A
1OA=∠OAA
1=θ
∠BA
1B
1=2θ
（1）
Put B
1ordinate
（2）
And
（3）
B
1abscissa is
（4）
So B
1coordinate be (acos θ, bsin θ),
（5）
Formula (5) is the parametric equation of an ellipse, that is to say B
1movement locus be an ellipse;
Due to a=OB, b=OA
1-A
1b, OA
1=(a+b)/2, A
1b=(a-b)/2.Pivoted arm is marked with scale, can change OA by mobile L-type slide block
1length with stepless change major axis radius a, transverse axis subscript also has scale, changes A by mobile L-type slide block
1the length of B is with stepless change minor axis radius b, because when pivoted arm rotation 1 week, paintbrush rotates 2 weeks, so while drawing ellipse, pivoted arm and paintbrush have and be positioned at same plumbous plane for four times, now, nib lays respectively at four end points of major and minor axis.Therefore, only need stir pivoted arm and rotate a circle, can complete the drafting of a standard ellipse.
Described gyroaxis is fixed on pivoted arm by the back-up block that lays respectively at two groups of bevel gear rear sides that engage.
Described L-type slide block is locked by lock-screw.
Described bevel gear C and bevel gear D are separately fixed on two limits of same L-type slide block.
Described L-type slide block can before and after slippage, thereby change the length of transverse.
The invention has the beneficial effects as follows: move in a circle by pivoted arm, the engagement of bevel gear A and bevel gear B simultaneously makes gyroaxis rotation, then, by the engaged transmission of bevel gear C and bevel gear D, makes paintbrush along with transverse axis rotates around rotating shaft; Whole mechanism, by the engaged transmission of two pairs of bevel gears, makes pivoted arm contrary with paintbrush gyratory directions, and makes OA
1when at rotation the θ angle, A
1b rotates 2 θ angles, i.e. ∠ A
1oA=∠ OAA
1when=θ, ∠ BA
1a=2 θ, thus make B
1track be an ellipse, realize oval drafting, there is reasonable in design, simple in structure, easy to carry, easy and simple to handle, the stepless adjustable feature of major and minor axis radius, can draw the different ellipses that require, can be widely used in engineering or study reality, have broad application prospects.
Brief description of the drawings
Fig. 1 is structural representation of the present invention;
Fig. 2 is top view of the present invention;
Fig. 3 is design principle figure of the present invention.
In figure: 1-pivoted arm, 2-bevel gear A, 3-bevel gear B, 4-bevel gear C, 5-bevel gear D, 6-L type slide block, 7-main shaft, 8-gyroaxis, 9-back-up block, 10-rotating shaft, 11-paintbrush, 12-transverse axis.
Detailed description of the invention
The present invention is further described to declare example below in conjunction with the attached collaborative platform identification of cultivating talent.
Referring to Fig. 1 and Fig. 2, the stepless adjustable ellipsograph of a kind of major and minor axis radius, comprise a pivoted arm 1, be interspersed with a main shaft 7 vertical with pivoted arm 1 at pivoted arm 1 front end, on main shaft 7, be set with a bevel gear A2, bevel gear A2 engages with the bevel gear B3 of a side, bevel gear B3 is fixed on horizontal gyroaxis 108 one end, gyroaxis 108 is fixed on pivoted arm 1 by the back-up block 9 that lays respectively at two groups of bevel gear rear sides that engage, be set with a bevel gear D5 in gyroaxis 108 rear ends, the bevel gear D5 bevel gear C4 longitudinal with is meshed, bevel gear C4 and bevel gear D5 are separately fixed on two limits of same L-type slide block 6, L-type slide block 6 is locked by lock-screw, L-type slide block 6 can seesaw, thereby change the length of transverse, in bevel gear C4, being fixed with one is synchronized with the movement to the rotating shaft 10 of downward-extension with bevel gear C4, the centre position place of rotating shaft 10 is fixed with one and is the transverse axis 12 at 90 ° of angles with rotating shaft 10, on transverse axis 12, be fixed with one with rotating shaft 10 paintbrush 11 in the same way.
Referring to Fig. 3, the stepless adjustable method for designing of above-mentioned major and minor axis radius, comprises the steps: to set up rectangular coordinate system taking the intersection of main shaft 7 and pivoted arm 1 as origin of coordinates O, and using rotating shaft 10 with the intersection point of pivoted arm 1 as A
1, using in paintbrush 11 motion processes with gyroaxis 108 overlappings as B, establish OA
1=(a+b)/2, A
1b=(a-b)/2, wherein a, b is respectively the radius of major axis, minor axis, A
1b is around A
1point dextrorotation turns over 2 θ angles, obtains B
1thereby, form line segment A
1b
1, extend A
1b
1, build OAA such as ⊿ such as Xing such as lumbar triangle such as Deng
1,
∠A
1OA=∠OAA
1=θ
∠BA
1B
1=2θ
（1）
Put B
1ordinate
（2）
And
（3）
B
1abscissa is
（4）
So B
1coordinate be (acos θ, bsin θ),
（5）
Formula (5) is the parametric equation of an ellipse, that is to say B
1movement locus be an ellipse;
Due to a=OB, b=OA
1-A
1b, OA
1=(a+b)/2, A
1b=(a-b)/2.Pivoted arm 1 is marked with scale, can change OA by slippage L-type slide block 6
1length with stepless change major axis radius a, transverse axis 12 subscripts also have scale, change A by mobile L-type slide block 6
1the length of B is with stepless change minor axis radius b, because when pivoted arm 1 rotates a circle, paintbrush 11 rotates two weeks, so draw when oval, pivoted arm 1 and paintbrush 11 have and are positioned at same plumbous plane for four times, now, nib lays respectively at four end points of major and minor axis, therefore, only need stir pivoted arm 1 and rotate a circle, can complete the drafting of a standard ellipse.
Move in a circle by pivoted arm 1, the engagement of bevel gear A2 and bevel gear B3 is simultaneously rotated gyroaxis 108, then, by the engaged transmission of bevel gear C4 and bevel gear D5, makes paintbrush 11 along with transverse axis 12 rotates around rotating shaft 10; Whole mechanism, by the engaged transmission of two pairs of bevel gears, makes pivoted arm 1 contrary with paintbrush 11 gyratory directions, and makes OA
1when at rotation the θ angle, A
1b rotates 2 θ angles, i.e. ∠ A
1oA=∠ OAA
1when=θ, ∠ BA
1a=2 θ, thus make B
1track be an ellipse, realize oval drafting, there is reasonable in design, simple in structure, easy to carry, easy and simple to handle, the stepless adjustable feature of major and minor axis radius, can draw the different ellipses that require, can be widely used in engineering or study reality, have broad application prospects.
Claims (6)
1. the stepless adjustable ellipsograph of major and minor axis radius, comprise a pivoted arm, it is characterized in that: be interspersed with a main shaft vertical with pivoted arm at pivoted arm front end, on main shaft, be set with a bevel gear A, bevel gear A engages with the bevel gear B of a side, bevel gear B is fixed on horizontal gyroaxis one end, be set with a bevel gear D in gyroaxis rear end, the bevel gear D bevel gear C longitudinal with is meshed, in bevel gear C, being fixed with one is synchronized with the movement to the rotating shaft of downward-extension with bevel gear C, the centre position place of rotating shaft is fixed with one and is the transverse axis at 90 ° of angles with rotating shaft, on transverse axis, be fixed with one with rotating shaft paintbrush in the same way.
2. the stepless adjustable method for designing of above-mentioned major and minor axis radius, is characterized in that comprising the steps: setting up rectangular coordinate system taking the intersection of main shaft and pivoted arm as origin of coordinates O, and using the intersection point of rotating shaft and pivoted arm as A
1, using in paintbrush motion process with gyroaxis overlapping as B, establish OA
1=(a+b)/2, A
1b=(a-b)/2, wherein a, b is respectively the radius of major axis, minor axis, A
1b is around A
1point dextrorotation turns over 2 θ angles, obtains B
1thereby, form line segment A
1b
1, extend A
1b
1, build OAA such as ⊿ such as Xing such as lumbar triangle such as Deng
1,
∠A
1OA=∠OAA
1=θ
∠BA
1B
1=2θ
（1）
Put B
1ordinate
（2）
And
（3）
B
1abscissa is
（4）
So B
1coordinate be (acos θ, bsin θ),
（5）
Formula (5) is the parametric equation of an ellipse, that is to say B
1movement locus be an ellipse;
Due to a=OB, b=OA
1-A
1b, OA
1=(a+b)/2, A
1b=(a-b)/2, pivoted arm is marked with scale, can change OA by mobile L-type slide block
1length with stepless change major axis radius a, transverse axis subscript also has scale, changes A by mobile L-type slide block
1the length of B is with stepless change minor axis radius b, because when pivoted arm rotation 1 week, paintbrush rotates 2 weeks, so while drawing ellipse, pivoted arm and paintbrush have and be positioned at same plumbous plane for four times, now, nib lays respectively at four end points of major and minor axis; Therefore, only need stir pivoted arm and rotate a circle, can complete the drafting of a standard ellipse.
3. the stepless adjustable ellipsograph of major and minor axis radius as claimed in claim 1, is characterized in that: the back-up block of the bevel gear rear sides of described gyroaxis by laying respectively at two groups of engagements is fixed on pivoted arm.
4. the stepless adjustable ellipsograph of major and minor axis radius as claimed in claim 1, is characterized in that: described L-type slide block is locked by lock-screw.
5. the stepless adjustable ellipsograph of major and minor axis radius as claimed in claim 1, is characterized in that: described bevel gear C and bevel gear D are separately fixed on two limits of same L-type slide block.
6. the stepless adjustable ellipsograph of major and minor axis radius as claimed in claim 1, is characterized in that: described L-type slide block can before and after slippage, thereby change the length of transverse.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410139873.0A CN103909772A (en) | 2014-04-09 | 2014-04-09 | Ellipsograph allowing for stepless regulation of radius of long and short shafts and design method thereof |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410139873.0A CN103909772A (en) | 2014-04-09 | 2014-04-09 | Ellipsograph allowing for stepless regulation of radius of long and short shafts and design method thereof |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN103909772A true CN103909772A (en) | 2014-07-09 |
Family
ID=51035904
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201410139873.0A Pending CN103909772A (en) | 2014-04-09 | 2014-04-09 | Ellipsograph allowing for stepless regulation of radius of long and short shafts and design method thereof |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN103909772A (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112248694A (en) * | 2020-11-03 | 2021-01-22 | 莱芜职业技术学院 | Multifunctional mathematics office teaching aid |
| CN112356598A (en) * | 2020-11-30 | 2021-02-12 | 盛继玲 | Multifunctional drawing tool for constructional engineering and mathematics |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2042417U (en) * | 1988-11-30 | 1989-08-09 | 那文绪 | Ellipsograph |
| CN2318049Y (en) * | 1997-12-16 | 1999-05-12 | 王卓卓 | Ellipsograph |
-
2014
- 2014-04-09 CN CN201410139873.0A patent/CN103909772A/en active Pending
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2042417U (en) * | 1988-11-30 | 1989-08-09 | 那文绪 | Ellipsograph |
| CN2318049Y (en) * | 1997-12-16 | 1999-05-12 | 王卓卓 | Ellipsograph |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112248694A (en) * | 2020-11-03 | 2021-01-22 | 莱芜职业技术学院 | Multifunctional mathematics office teaching aid |
| CN112356598A (en) * | 2020-11-30 | 2021-02-12 | 盛继玲 | Multifunctional drawing tool for constructional engineering and mathematics |
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| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20140709 |