CN86105407A - Pendulum meter - Google Patents
Pendulum meter Download PDFInfo
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- CN86105407A CN86105407A CN 86105407 CN86105407A CN86105407A CN 86105407 A CN86105407 A CN 86105407A CN 86105407 CN86105407 CN 86105407 CN 86105407 A CN86105407 A CN 86105407A CN 86105407 A CN86105407 A CN 86105407A
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- pendulum
- meter according
- curve
- gear
- slide plate
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Abstract
A kind of pendulum meter that relates to drawing, teaching, design, research cycloidal type curve belongs to multi-functional drawing appliance.The present invention mainly is made up of fixed shaft gear train, planet circular system, slide plate, rotating disc, can draw the curve of more than 60,000 kind of different characteristic, as straightway, circle, ellipse, cardiod, star line, double-arc epicycloid, curve, rotational line, sine curve, involute, helical etc.Be applicable to all kinds of school instructions, the industrial art design is inquired into difficulties in teaching, is specially adapted to scientific research, designing unit and factories and miness drawing, than existing drawing appliance, improve hundreds and thousands of times of work efficiency.
Description
The invention belongs to drawing appliance.
Traditional drawing appliance ruler, curve ruler, garden rule can only be drawn simple geometric figures such as straightway, garden, ellipse garden, and are then powerless to complicated cycloid of direct drafting and composite curve.Carry " the garden epicycloid technique of painting " as " mechanical drawing " secretary, the fork of a curve need will be determined corresponding some spots earlier, and then connect into approximate curve with curve ruler with 58 steps.And for example Ministry of Aeronautics Industry makes engine, needs, have to connect with loaded down with trivial details ground of traditional drawing appliance described point by complicated calculating because of there not being the instrument of drawing cycloid with the double-arc epicycloid mapping again, and two kinds of techniques of painting all ten minutes bother and inaccuracy again.
82 years, the ellipse garden of the Ty-82 type double rail type instrument of Shanghai Tongji University development; The ellipse garden of the H boat word y type rule of Beijing instrument and meter for automation factory development in the same year.The ellipse garden of A type, the Type B of the 3rd research institute of Ministry of Astronautics Industry release in 85 years rule.These drawing appliances, structure is similar, and drawing function is single, is mainly used in to draw ellipse garden, and its shortcoming is when drawn ellipse garden compression exceeds certain limit, just can't draw.During again because of drafting, advise pin as central pivot point with one always,, also be subjected to lower limit so institute's drawing shape size both had been subjected to ceiling restriction.
" the invention award project communique " of country's announcement in 79 years, be loaded with the drawing gauge of Shanghai Polytechnic Univ's development, and the drawing boards of selling on the market of forming by seven colored plastic gears, can draw floral designs, curvilinear figure and vivid picture, be applicable to arts and crafts design, the pattern of being drawn can be used for ticket, trade mark, decoration and packaging etc.The shortcoming of these two kinds of drawing appliances is: can not calculate the position of motion mid point, the bar body that can not give in advance to be plotted just can not on purpose be drawn required curve and pattern consciously.So range of application is very narrow, can't in teaching, research and production design, be applied.
Look into ten four countries' patent documentations such as 1961～1985 years English, U.S., method, West Germany, Japan, ellipse garden rule, drawing gauge, geometric figure instrument are arranged, tool guide instrument, decorative pattern drawing instrument, shear circuit and imitate 52 in instrument etc.They are all the same with above-mentioned domestic drawing appliance, and function singleness is of limited application.Can not arbitrarily draw cycloid and composite curve thereof.As not making the straightway corresponding with π, can not trisection one jiao, five equilibrium one garden arbitrarily, can not solve the mapping of garden and square equivalance, holder diligent rose (Ptolemg) planetary orbit can not draw rapidly, Huygens (Huygens) pendulum shelves curve, Bernoulli (Bernoulli) brachistochrone and positive ten heptagons of Gauss (Gauss).
Purpose of the present invention, be to overcome the deficiency of existing drawing appliance, provide a kind of in uniform definition, the formula guiding down, the novel drawing appliance of forming by simple and mechanical part, it not monoenergetic draw out required straightway, garden, ellipse garden, can also promptly draw curve, cardiod, star line, two lonely epicycloid, sine curve, helical, involute ..., also can solve the existing insurmountable problem of drawing appliance.
When the present invention conceives, at first the cycloid notion is redefined, O sets out by fixed point, the two deviation t that head and the tail connect
1, t
2, when its corner ratio was real number i, the movement locus of deviation end points P was cycloid.
Its cycloid equation is:
With decide garden O (R) in the traditional definition, roll garden O (R
1) relation.
t
1=R ± R
1=(1+i) R
1=OO
1The interior pendulum of the outer pendulum of symbol+be-be.T in the formula
1Be brachium, i is positive and negative real number.
t
2=O
1P, t
2Make spoke long.
t
2With R
1, ratio is big has been spoke, equal is general spoke, little is short spoke.
I cries changes ratio, and with divergent number, cusp is counted unanimity.
Cycloid three elements of the present invention are arm t
1, spoke t
2, than i, its characteristics are:
1.t
1, t
2, the i three elements are easy to make corresponding instrument spare structure.
2. the outer pendulum of pendulum in summarizing, main pendulum time pendulum, the short spoke of super spoke has bag to be formed centrally, not have bag and is formed centrally.All be unified in a t
1, t
2, in the i motion concept.
3. simplified in the mechanical teaching material about the loaded down with trivial details discussion of cycloid.
Traditional nonslipping physical concept has been avoided in this definition.It is the inclusion traditional concept both, has injected new letter meaning again, and the content that does not belong to former cycloid system all is summarized in this definition.Under the guiding of this definition and equation thereof, use the gear drive principle, design and manufacture By-1 type pendulum meter drawing appliance.
As shown in Figure 1, the present invention initiatively cogs (2) mainly by driving shaft (1), active lower gear (3), bridge gear shaft (4), cog (5) of passing a bridge, gap bridge lower gear (6), power shaft (7), input gear (8), central gear (9), center lower gear (10), output shaft (11), output lower gear (12), export cog (13), output is passed a bridge spool (14), and output gap bridge lower gear (15) is exported cog (16) of passing a bridge, planet pin (17), planetary gear (18), graduated arc (19), T type paintbrush (20) slide plate (21), clutch part (22), pedestal (23) combines.
Member 1～9 is formed fixed shaft gear train among the figure, and 10～19 form planet circular system.
When twisting the handwheel on driving shaft (1) top with hand, initiatively cog (2) mesh simultaneously pass a bridge cog (5) and the center cog (9) rotate, gap bridge cogs (5) by bridge gear shaft (4) drive gap bridge lower gear (6) rotation, gap bridge lower gear (6) meshes input gear (8) again, by input gear (8) engagement center lower gear (10) rotation.Cog (9) and center lower gear (10) of center is millstones shape and overlaps and install, the center cog (9) only have external tooth, but the inside and outside both sides of center lower gear (10) all have tooth.Input gear (8) meshes its external tooth, and output lower gear (12) then meshes internal tooth.Drive output (13) rotation that cogs by output shaft (11), output (13) engagement output gap bridge lower gear (15) that cogs, again by output pass a bridge axle (14) drive output pass a bridge cog (16) rotate.Output pass a bridge cog (16) again with planetary gear (18) engagement, thereby drive planet wheel spindle (17) rotation.Planet pin (17) below go up any scale position with graduated arc (19) and all can be connected, in order to definite arm t
1Length.The lower end of planet pin (17) links to each other with T type paintbrush (20), and the cross bar of paintbrush (20) is marked with scale, can regulate the penholder position below the cross bar, thereby also determines spoke t easily
2Length.
Slide plate (21) is a block length square shaped metal plate, one side the right side have a tooth bar.When needing to slide, close up clutch part (22), then initiatively lower gear (3) pinion rack slides synchronously.If when not needing to slide, unclamp clutch part (22), then slide plate (21) star inactive state.
Cog (5) and gap bridge lower gear (6) of gap bridge respectively has the standby change gear of 24 different numbers of teeth (19～24 teeth), carries out series of computation according to equation.To pass than the number of teeth of i correspondence and list conversion table in, need, and only need table look-up and take out the change gear of the corresponding number of teeth, be hung on the bridge gear shaft (4), and just can obtain required biography ratio with what i value.
As shown in Figure 4, above the slide plate (21), rotating disc (25) rotating disc (25) center that also can place a tape spool overlaps and vertical linking to each other with planetary gear (18) center.Take off the T type paintbrush (20) on the planet pin (17), plug II type paintbrush (26), when planet pin (17) rotates in the left side of slide plate (21).Driven rotary dish (25) rotates, and II type paintbrush (26) moves with slide plate (21).
The present invention uploads the corresponding real number arbitrarily than i in design, can realize 3456 i values, and each i value is again because of t
1, t
2The value difference amounts to convertible 62208 kinds.Since the present invention can be artificially optionally easily sulphur decide arm t
1, spoke t
2, than i, so, the required form size of on By-1 type pendulum meter, then can drawing, different characteristic.Cycloid in different poses and with different expressions and composite curve.
Because the present invention can be easy, promptly draw out Protean cycloid and composite curve, so its range of application is very extensive.Be applicable to institution of higher learning's basic course specialized course teaching, can draw out difform cycloid easily; Be applicable to the marvellous floral designs of industrial art industry design; Be applicable to preschool education, can draw image and artistic picture.Inspire children's intelligence thinking; Apply to inspiration and discussion to a difficult problem on the history of mathematics.Be specially adapted to designing institute, research institute and industrial enterprise replace traditional drawing appliance and loaded down with trivial details drawing practice in equipment design, drawing, can tens of times, become hundred times, in addition on increase work efficiency thousandfold.
Example 1; As shown in Figure 2
Clutch part (22) is unclamped, and then slide plate (21) maintains static, and keeps flat paper on the plate face.Then planet pin (17) is aligned desired location on graduated arc (19), make t
1=oo
1, align the position of T type paintbrush (20) on the cross bar scale again, make t
2=op calculates i=1 by equation, and two change gears (promptly pass a bridge and cog (5) and gap bridge lower gear (6)) of tabling look-up and mixing the corresponding number of teeth twist driving shaft (1) top small handwheel with hand, by fixed shaft gear train, and the planet circular system rotation, t then draws on paper
1, t
2, the determined equation of i cycloid-cardiod.
Example 2: as shown in Figure 3.
Align t earlier
1And t
2, make it t
1=t
2, get i=-2, table look-up and join two change gears that end the corresponding number of teeth.Clutch part (22) is closed up,, be used to start driving shaft (1), make the rotation of fixed shaft gear train and planet circular system as the tooth bar engagement of active lower gear (3) with slide plate (21), the parallel thereupon same moved further of slide plate (21), the sine curve that then draws is i=-2, t
1=t
2The time developed curve
Example 3: as shown in Figure 4.
Levelling planet pin (17) overlaps with rotating disc (25) center.T then
1=oo
1=o takes off T type paintbrush (20), plugs II type paintbrush (26) in slide plate (21) left side, and with hand starting driving shaft (1), rotating disc (25) is along with planet pin (17) rotation II type paintbrush (26) moves along with slide plate (21) is parallel, and helical then draws.
Claims (9)
1. one kind by fixed shaft gear train, planet circular system and slide plate (21), and the multi-functional mechanical type drawing appliance that rotating disc (25) is formed is characterized in that above four parts organically become one to cycloid motion and compound motion thereof.
2. pendulum meter according to claim 1 is characterized in that passing than i and realizes by the transmission of fixed shaft gear train and planet circular system.
3. according to claim 1,2 described pendulum meters, it is characterized in that passing a bridge cog (5) and gap bridge lower gear (6) standby separately the gear of 24 different numbers of teeth, have 3456 kinds thereby obtain biography than i.
4. pendulum meter according to claim 1 is characterized in that having a graduated arc (19), can align arm t easily
1Length.
5. pendulum meter according to claim 1 is characterized in that having a T type paintbrush (20), and the cross bar of pen is marked with scale, can align spoke t easily
2Length.
6. pendulum meter according to claim 1 is characterized in that having a left side to have the square slide plate (21) of tooth bar, and tooth bar can mesh with active lower gear (3).
7. pendulum meter according to claim 1 is characterized in that there is a clutch part (22) at the middle part of driving shaft (1).
8. pendulum meter according to claim 1 is characterized in that having a garden shape rotating disc (25) and an II type paintbrush (26), and two accessories all are easy to loading and unloading.
9. according to claim 1,2,5,8 described pendulum meters, need not advise pin when it is characterized in that drawing and make fulcrum, paintbrush can pass through the centre of motion.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 86105407 CN86105407A (en) | 1986-08-28 | 1986-08-28 | Pendulum meter |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 86105407 CN86105407A (en) | 1986-08-28 | 1986-08-28 | Pendulum meter |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN86105407A true CN86105407A (en) | 1987-03-18 |
Family
ID=4802834
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 86105407 Pending CN86105407A (en) | 1986-08-28 | 1986-08-28 | Pendulum meter |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN86105407A (en) |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103950325A (en) * | 2014-03-18 | 2014-07-30 | 西安工业大学 | Sine curve drawing instrument |
| CN104809939A (en) * | 2015-04-30 | 2015-07-29 | 陕西理工学院 | Trigonometric teaching aid |
| CN108454280A (en) * | 2018-03-09 | 2018-08-28 | 合肥工业大学 | Involute plotter |
-
1986
- 1986-08-28 CN CN 86105407 patent/CN86105407A/en active Pending
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103950325A (en) * | 2014-03-18 | 2014-07-30 | 西安工业大学 | Sine curve drawing instrument |
| CN103950325B (en) * | 2014-03-18 | 2015-08-05 | 西安工业大学 | Sine curve plotter |
| CN104809939A (en) * | 2015-04-30 | 2015-07-29 | 陕西理工学院 | Trigonometric teaching aid |
| CN104809939B (en) * | 2015-04-30 | 2017-03-22 | 陕西理工学院 | Trigonometric teaching aid |
| CN108454280A (en) * | 2018-03-09 | 2018-08-28 | 合肥工业大学 | Involute plotter |
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|---|---|---|---|
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| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
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| RJ01 | Rejection of invention patent application after publication |