CN108257457B - The cycloidal path apparatus for demonstrating and demenstration method that actual situation combines - Google Patents
The cycloidal path apparatus for demonstrating and demenstration method that actual situation combines Download PDFInfo
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- CN108257457B CN108257457B CN201711237504.5A CN201711237504A CN108257457B CN 108257457 B CN108257457 B CN 108257457B CN 201711237504 A CN201711237504 A CN 201711237504A CN 108257457 B CN108257457 B CN 108257457B
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- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
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Abstract
The present invention relates to cycloidal path apparatus for demonstrating and demenstration method that a kind of actual situation combines.The apparatus for demonstrating includes following component part: bracket, and the cover of transparence is provided on the bracket, is provided with lighting device on the inside of the cover；Solid line cycloidal path formation mechanism, the solid line cycloidal path formation mechanism is fixedly installed on the bracket, and the solid line cycloidal path formation mechanism is arranged in the cover of transparence；Virtual cycloidal path forms auxiliary body, for limiting the region for forming virtual cycloidal path；Control device, the control device form auxiliary body with the virtual cycloidal path and match, and form virtual cycloidal path in the cover of transparence.The present invention can allow visitor or the more intuitive forming process for experiencing cycloid of learner and track, and long-term science popularization and teaching is suitble to use.
Description
Technical field
The present invention relates to a kind of actual situation combine cycloidal path apparatus for demonstrating and demenstration method, be mainly used for Popular Science Education and
Teaching practice activity.
Background technique
Cycloid is one of charming curve numerous in mathematics, and common circle cycloid is divided into epicycloid and two kinds of hypocycloid.
Epicycloid: also known as " epicycloid ".It is defined such that a dynamic circle is being determined to make outside circle along a fixed circle
When fricton-tight rolling, the track for moving round Zhou Shangyi fixed point is known as cycloid, as shown in Figure 1.
Hypocycloid: it refers to that a dynamic circle is inscribed within a fixed circle and makees fricton-tight rolling, moves round Zhou Shangyi fixation
The track of point.It is suitable with cycloid, but it does not do the circle of pure rolling not instead of on line, does pure rolling in great circle inner surface
Circle, as shown in Figure 2.
Object of which movement equation in physics, is mathematically exactly parametric equation.Parametric equation is for solving practical problems
It is of great significance.Cycloid is a kind of highly important curve, can be divided into flat pendulum line, circle cycloid, involute three categories.We
Common most of curve can regard the special case of cycloid, such as astroid, cardiod, Archimedes spiral, curve as
Deng.Cycloid is also very useful a class ourve, if brachistochrone is exactly flat pendulum line；Common gear is usually involute in factory
Or circle cycloid；Then the principle of astroid is utilized in benefit to the Dual-folding door of bus.For another example as many agriculturals such as harvester, rooter
Lathe etc. in mechanical and factory, mostly using cycloid principle.Moreover, cycloid also has important application, planet in astronomy
The track of the earth, the moon can be regarded as cycloid with respect to the track of the sun relatively.
In teaching process, usual teacher will illustrate cycloid with parametric equation, and by drawing various pendulum on blackboard
Line tries formation and the track of description cycloid, and since the track of cycloid is very more, shape difference is larger, can not be by simple
Drafting described, cause the difficulty of object teaching.
Summary of the invention
Place in view of the deficiency of the prior art, an object of the present invention are to provide a kind of cycloid that actual situation combines
Track apparatus for demonstrating, the apparatus for demonstrating can allow visitor or the more intuitive formation for experiencing cycloid of learner and track, and
And long-term science popularization and teaching is suitble to use.
To achieve the goals above, the invention is realized by the following technical scheme:
A kind of cycloidal path apparatus for demonstrating that actual situation combines, which includes following component part:
Bracket is provided with the cover of transparence on the bracket, is provided with lighting device on the inside of the cover；
Solid line cycloidal path formation mechanism, the solid line cycloidal path formation mechanism are fixedly installed on the bracket, and
The solid line cycloidal path formation mechanism is arranged in the cover of transparence；
Virtual cycloidal path forms auxiliary body, for limiting the region for forming virtual cycloidal path；
Control device, the control device forms auxiliary body with the virtual cycloidal path and matches, in transparence
Virtual cycloidal path is formed in the cover.
Preferably, the solid line cycloidal path formation mechanism includes the support shaft being installed on bracket, the support shaft
It is arranged on axle body and constitutes the supplementary bearing seat being rotatably assorted with support shaft；The solid line cycloidal path formation mechanism further includes fixing
The rotatable parts for being set on the outside of the supplementary bearing seat and supplementary bearing seat being followed to rotate；The solid line cycloidal path formation mechanism exists
It is respectively arranged with solid line epicycloid track on the upside of the rotatable parts and forms unit and solid line hypocycloid track formation unit；Institute
Stating solid line cycloidal path formation mechanism further includes the driving device for driving the supplementary bearing seat to rotate around support shaft.
It is further preferred that solid line epicycloid track formed unit include each other constitute external toothing determine Knucle-gear and
Dynamic Knucle-gear b, it is described to determine Knucle-gear and be fixed on the stretching of the support shaft in the end point on supplementary bearing seat top, the dynamic knuckle-tooth
Wheel b is rotatably mounted on the rotatable parts, and when rotatable parts rotation, the dynamic Knucle-gear b, which is surrounded, determines Knucle-gear
Revolution and rotation are installed with the epicycloid paintbrush with the dynamic Knucle-gear b eccentric setting on the dynamic Knucle-gear b；
It includes constituting internal messing each other to determine knuckle-tooth circle and dynamic Knucle-gear a, institute that solid line hypocycloid track, which forms unit,
It states and determines the fixation of knuckle-tooth circle on the bracket, the dynamic Knucle-gear a is rotatably mounted on the rotatable parts, when described turn
The dynamic Knucle-gear a is installed on the dynamic Knucle-gear a and moves with described around the revolution of knuckle-tooth circle and rotation is determined when dynamic component rotation
The hypocycloid paintbrush of Knucle-gear a eccentric setting；
The epicycloid paintbrush is matched with the cover of transparence with the hypocycloid paintbrush, to turn when described
When dynamic component rotates under the drive of the supplementary bearing seat around support shaft, the epicycloid paintbrush is with the hypocycloid paintbrush saturating
Epicycloid track and hypocycloid track are respectively formed in the cover of bright shape.
Include the fixed round disk being arranged concentrically and determine circle it is further preferred that the virtual cycloidal path forms auxiliary body
Annulus encloses the region for being shaped to virtual cycloidal path between the fixed round disk and fixed round ring；The fixed round disk is fixed
Diameter on the top for determining Knucle-gear, and the fixed round disk is less than the diameter for determining Knucle-gear；The fixed round ring
It fixes on the bracket, and the upside for determining knuckle-tooth circle, the interior diameter of the fixed round ring is arranged in the fixed round ring
Greater than the interior diameter for determining knuckle-tooth circle.
Preferably, deck plate is installed on the upside of the bracket, the deck plate is set in the outside of the supplementary bearing seat；
The cover includes the touching box set gradually from bottom to top and transparent screen, and the touching box is fixed on the bracket, described
Transparent screen is installed on the deck plate by translucent cover；The transparent screen, translucent cover and the deck plate collectively form one
A closed space；The region that the touching box can trigger is at the top of the epicycloid paintbrush and hypocycloid paintbrush；
The touching box is electrically connected with the control device.
Preferably, described to determine round disk, fixed round ring, determine knuckle-tooth circle, determine Knucle-gear, dynamic Knucle-gear a, move Knucle-gear b, is saturating
Bright cover, rotatable parts are all made of the production of white clear acrylic, described to determine round disk and/or determine the close described transparent of round ring
Shield and posts part reflective semitransparent film on the surface of side.
Preferably, the driving device includes the handwheel grasped convenient for manpower, and the handwheel, which is arranged, is fixed on live spindle
On, the live spindle is connected with the supplementary bearing seat by transmission mechanism.
It is further preferred that the transmission mechanism is belt gear, by main pulley, belt and secondary pulley structure
At；The main pulley is fixedly mounted in live spindle, and the secondary pulley is fixedly mounted on supplementary bearing seat, the main skin
Belt wheel drives secondary pulley rotation by belt.
The second object of the present invention is to provide a kind of demonstration of cycloidal path apparatus for demonstrating combined using aforementioned actual situation
Method, which employs following technical solutions: exciting touching box and control to fill by the epicycloid paintbrush and/or hypocycloid paintbrush
It sets, the control device virtually moves circle in the transparent screen display, and the virtual dynamic circle is shown in the described fixed round of entity
Between disk and fixed round ring, and form the following two kinds scheme:
First, it is described it is virtual dynamic round internal messing and tangent is constituted with the fixed round disk, described in the control device controls
Virtual dynamic circle movement forms the virtual dynamic round tangent rolling between the two with the fixed round disk, and forms the rail of hypocycloid
Mark；
Second, it is described it is virtual dynamic round external toothing and tangent is constituted with the fixed round ring, described in the control device controls
Virtual dynamic circle movement forms the virtual dynamic round tangent rolling between the two with the fixed round ring, and forms epicycloidal rail
Mark.
Preferably, the virtually dynamic diameter of a circle is adjustable, and the virtual dynamic circle of different-diameter size is formed when rolling
Different cycloidal paths.
The beneficial effects of the present invention are:
It 1) include fixed solid line cycloidal path formation mechanism on the bracket, the solid line cycloidal path in the present invention
Formation mechanism includes two pairs of entity gears: a pair is to determine Knucle-gear and dynamic Knucle-gear b, and another pair is to determine knuckle-tooth circle and dynamic Knucle-gear
It is provided with epicycloid paintbrush on a, the dynamic Knucle-gear b, is provided with hypocycloid paintbrush, the epicycloid paintbrush on dynamic Knucle-gear a
It is all in contact with the cover of transparence with hypocycloid paintbrush, the place being in contact is in the area that the touching box can trigger
Domain.
When the dynamic Knucle-gear b is along the outer side roll for determining Knucle-gear, the dynamic Knucle-gear b and determines Knucle-gear and simulate
One dynamic circle is being determined to make fricton-tight rolling situation outside circle along a fixed circle, moves the epicycloid paintbrush on Knucle-gear b saturating
The track of the dynamic upper fixed point of circle is described in the cover of bright shape, illustrates epicycloidal formation.
When the dynamic Knucle-gear a is along the interior side roll for determining knuckle-tooth circle, the dynamic Knucle-gear a and determines Knucle-gear and simulate
One dynamic circle is inscribed within a fixed circle and is determining to make fricton-tight rolling situation in circle, moves the hypocycloid paintbrush on Knucle-gear a
The track of the dynamic upper fixed point of circle is described in the cover of transparence, illustrates the formation of hypocycloid.
It 2) further include that the control device to form virtual cycloidal path and virtual cycloidal path form auxiliary body in the present invention,
It includes the fixed round disk and fixed round ring being arranged concentrically that the virtual cycloidal path, which forms auxiliary body, and the control device is in institute
State the transparent screen display of the cover and virtually move circle, the virtual dynamic circle be shown in entity the fixed round disk and fixed round ring it
Between；The virtual dynamic circle both can do tangent rolling with the fixed round disk under the control of the control device and form outer pendulum
Line can also do tangent rolling with the fixed round ring and form hypocycloid.Virtually dynamic fenestra can be under the action of control device
Change diameter itself, to draw different cycloidal paths.
It should be noted that the solid line cycloidal path formation mechanism and virtual cycloidal path formation mechanism in the present invention are (empty
Quasi- cycloidal path formation mechanism includes at least control device, virtual cycloidal path forms auxiliary body, can also include touching box)
Both it can respectively work independently, can also be fitted to each other co-operation.
Solid line cycloidal path formation mechanism above-mentioned and virtual cycloidal path formation mechanism work independently of one another, refer at this
In invention, when solid line cycloidal path formation mechanism works independently, virtual cycloidal path formation mechanism does not work, and passes through at this time
Open the lighting device in the cover, it can be seen that epicycloid paintbrush and hypocycloid paintbrush in solid line cycloidal path formation mechanism exist
The epicycloid track and hypocycloid track being respectively formed in the cover of transparence.And work as solid line cycloidal path formation mechanism not work
When making, virtual cycloidal path formation mechanism can voluntarily work independently, i.e., control device is saturating in the cover of transparence
Virtual dynamic circle is formed on bright screen, the virtual dynamic circle both can do phase with the fixed round disk under the control of the control device
It cuts rolling and forms hypocycloid, tangent rolling can also be done with the fixed round ring and form epicycloid, shown in the cover of transparence
Show cycloidal path, realizes automatic demonstrating.
Solid line cycloidal path formation mechanism above-mentioned and virtual cycloidal path formation mechanism are fitted to each other work, refer at this
In invention, the region that the touching box can trigger is at the top of the epicycloid paintbrush and hypocycloid paintbrush；And institute
When stating touching box and being electrically connected with the control device, the control device receives the touching box because of epicycloid paintbrush and interior pendulum
When the signal that line drawing pen is mobile and generates, control device issues instruction (transparent screen i.e. therein in the cover of transparence
On) virtual dynamic circle is formed, and then the virtual dynamic circle forms hypocycloid or epicycloid on the transparent screen；When the epicycloid
When paintbrush and hypocycloid paintbrush stop mobile, the control device issues instruction, and virtually dynamic fenestra stops rolling accordingly.
3) driving device for driving the rotatable parts to rotate around support shaft is provided in the present invention, it is interactive to increase,
Driving device is preferably handwheel；When in the present invention solid line cycloidal path formation mechanism and virtual cycloidal path formation mechanism each other
When cooperating, the control device forms virtual dynamic circle on transparent screen, generates epicycloid track or hypocycloid track.
If visitor or learner epicycloid track to be shown, the control device instruction virtual dynamic circle determines circle with described
Disk is circumscribed, and as visitor or learner's rotation hand wheel, paintbrush (including epicycloid paintbrush and hypocycloid paintbrush) passes through movement
Touching box is excited to generate signal, control device receives the dynamic round fixed round tumbler that spirals around entity of instruction virtual after signal
It is dynamic, to depict epicycloid geometric locus.
If visitor or learner hypocycloid track to be shown, the control device instruction virtual dynamic circle determines circle with described
Annulus inscribe, as visitor or learner's rotation hand wheel, paintbrush (including epicycloid paintbrush and hypocycloid paintbrush) passes through movement
Touching box is excited to generate signal, control device receives the dynamic round fixed round ring rotation rolling around entity of instruction virtual after signal
It is dynamic, to depict hypocycloid geometric locus.
It should be noted that the outer surface of the close transparent screen side of the fixed round disk or fixed round ring posts half anti-half
Permeable membrane, the mirrored effect of part reflective semitransparent film make actual situation scene combine together, more enhance actual situation combination simulation hypocycloid or
The scene effect that epicycloid is formed.
4) visitor or learner can change by the function button in control device or select virtually to move circle in picture
Diameter, so as to draw a variety of different epicycloids and hypocycloid geometric locus.
5) inner components in the present invention and transparent cover are all made of the production of white clear material, when visitor or study
Person presses open lighting device after, can be clearly observed epicycloid and hypocycloid is actually formed mechanism and process, thus
Visitor or learner is greatly facilitated to the formation of epicycloid and hypocycloid and the cognition of track.
Especially, it should be noted that the outer surface of the close transparent screen side of the fixed round disk or fixed round ring posts half
Anti- semi-permeable membrane will not influence the observation of visitor or learner to internal structure according to the characteristic of part reflective semitransparent film.
6) in operation, visitor or learner can be selected by several function buttons in control device
It selects, adjust, watch, self-contr ol may be implemented and draw " I thinks the cycloid of picture ", greatly excite visitor or learner
Learning enthusiasm.
7) in operation, visitor or learner increase the interaction in the device presentation process by shaking handwheel
Property and interest, may be implemented speed and the period of artificial control revolving speed, to substantially increase science popularization and quality of instruction, make to visit
Person or learner can be realized self and " draw " internal and external cycloids, and experience the forming process of epicycloid and hypocycloid.
8) present invention is equipped with the transparent cover of pmma material production, has opened or closed according to the usage requirement transparent
The cover, in presentation process, the enclosure space of transparent cover and deck plate one interior visible of composition reduces extraneous do
It disturbs, provides guarantee for science popularization and the successes achieved in teaching, while also having played dustproof effect when long-term placement.
9) present invention horizontal can use, and vertical can also use, and using energy-saving environmental protection device, can exist according to actual needs
Various conditions and different places are demonstrated, and meet the society need of current energy-saving and emission-reduction, and structure is simple, easy to operate,
It is easy to maintain, operation and maintenance expense is reduced, is suitable for long-term science popularization and teaching and uses.
Detailed description of the invention
Fig. 1 is epicycloidal formation basic theory figure；
Fig. 2 is the formation basic theory figure of hypocycloid；
Fig. 3 is hand-rail type belt transmission structure schematic diagram of the present invention；
Fig. 4 is table top top view of the present invention；
Fig. 5 is that the present invention generates epicycloidal transparent screen display schematic diagram；
Fig. 6 is the transparent screen display schematic diagram that the present invention generates hypocycloid.
The meaning of label symbol is as follows in figure:
1- handwheel 2- live spindle 3- main bearing seat
4a- main pulley 5a- belt 6a- secondary pulley
7- fixture nut 8- bracket 9- support shaft
10- fixed frame 11- supplementary bearing seat 12- deck plate
13- translucent cover 14- determines knuckle-tooth circle 15- bearing a
The dynamic Knucle-gear a 17- of 16- determines Knucle-gear 18- and determines round disk
19- bearing c 20a- hypocycloid paintbrush 20b- epicycloid paintbrush
21- touching box 22- transparent screen 23- moves Knucle-gear b
24- bearing b 25- disk 26- determines round ring
27- background light
Specific embodiment
To make the object, technical solutions and advantages of the present invention clearer, the present invention is made into one below in conjunction with attached drawing
Step ground detailed description.Obviously, described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.
The present invention includes the component parts such as bracket, solid line cycloidal path formation mechanism, virtual cycloidal path formation mechanism, under
Face is illustrated component part therein respectively in connection with attached drawing.
1. bracket
As shown in figure 3, the bracket 8 is in frame-like, the upside of bracket 8 is installed with deck plate 12.12 sets of the deck plate
It is located at the outside of the supplementary bearing seat 11.
There is no limit as long as bracket 8 can play the role of supporting and fixing the structure of the bracket 8 to entire apparatus for demonstrating
?.
2. solid line cycloidal path formation mechanism
As shown in figure 3, the solid line cycloidal path formation mechanism is fixed on the bracket 8, the solid line cycloid
Track formation mechanism is arranged in the cover of transparence, and the cover of transparence is arranged on the bracket 8, in the cover
Side is provided with lighting device, and lighting device is preferably background light 27, and the background light 27 is fixed on the deck plate 12.
As shown in figure 3, the solid line cycloidal path formation mechanism includes the support shaft 9 being installed on bracket 8, the support
It is arranged on the axle body of axis 9 and constitutes the supplementary bearing seat 11 being rotatably assorted with support shaft 9；The solid line cycloidal path formation mechanism is also
Rotatable parts supplementary bearing seat 11 outside and supplementary bearing seat 11 is followed to rotate are set in including fixed, the rotatable parts are
Disk 25.The solid line cycloidal path formation mechanism is respectively arranged with solid line epicycloid track in the upside of disk 25 and forms unit
Unit is formed with solid line hypocycloid track；The solid line cycloidal path formation mechanism further includes for driving the supplementary bearing seat 11
The driving device rotated around support shaft 9.
As described in Figure 3, it includes constituting external toothing each other to determine 17 He of Knucle-gear that solid line epicycloid track, which forms unit,
Dynamic Knucle-gear b23, it is described to determine Knucle-gear 17 and be fixed on the stretching of the support shaft 9 in the end point on 11 top of supplementary bearing seat, institute
It states Knucle-gear b23 to be rotatably mounted on the disk 25, when the disk 25 rotation, the dynamic Knucle-gear b23 encloses
Around the revolution of Knucle-gear 17 and rotation is determined, the outer pendulum with the dynamic Knucle-gear b23 eccentric setting is installed on the dynamic Knucle-gear b23
Line drawing 20b；
It includes constituting internal messing each other to determine knuckle-tooth circle 14 and dynamic Knucle-gear that solid line hypocycloid track, which forms unit,
A16, described to determine knuckle-tooth circle 14 and be fixed on the bracket 8, the dynamic Knucle-gear a16 is rotatably mounted to the disk 25
On, when the disk 25 rotation, the dynamic Knucle-gear a16, which is surrounded, determines the revolution of knuckle-tooth circle 14 and rotation, the dynamic Knucle-gear a16
On be installed with hypocycloid paintbrush 20a with the dynamic Knucle-gear a16 eccentric setting；
The epicycloid paintbrush 20b is in contact with the cover of transparence with the top of the hypocycloid paintbrush 20a,
Thus when being rotated under drive of the disk 25 in the supplementary bearing seat 11 around support shaft 9, the epicycloid paintbrush 20b and institute
It states hypocycloid paintbrush 20a and is respectively formed epicycloid track and hypocycloid track in the cover of transparence.
Determine knuckle-tooth circle 14 as shown in figure 3, described and determine Knucle-gear 17 with described and be arranged concentrically, and described determines the setting of knuckle-tooth circle 14
In the outside for determining Knucle-gear 17, the dynamic Knucle-gear a16 and dynamic Knucle-gear b23 setting it is described determine knuckle-tooth circle 14 with it is described
Determine between Knucle-gear 17, it is described determine knuckle-tooth circle 14, it is described determine Knucle-gear 17, dynamic Knucle-gear a16 and dynamic Knucle-gear b23 be in it is same
On horizontal plane.
The solid line cycloidal path formation mechanism further includes the driving device for driving the supplementary bearing seat 11 to rotate, such as Fig. 3
Shown, the driving device includes the handwheel 1 grasped convenient for manpower, and the handwheel 1, which is arranged, to be fixed in live spindle 2, described
Live spindle 2 is rotatably arranged on the main bearing seat 3, and the main bearing seat 3 is fixed at the deck plate 12
Downside；The live spindle 2 is connected with the supplementary bearing seat 11 by transmission mechanism.
As shown in figure 3, the transmission mechanism in the present embodiment is belt gear, by main pulley 4a, belt 5a
And secondary pulley 6a is constituted；The main pulley 4a is fixedly mounted in live spindle 2, and the secondary pulley 6a is fixedly mounted
On supplementary bearing seat 11, the main pulley 4a drives secondary pulley 6a rotation by belt 5a.
The solid line cycloidal path formation mechanism can work independently.When the solid line cycloidal path formation mechanism independence work
When making, background light 27 can be opened, visitor or learner can see the formation track of cycloid by the cover of transparence.
3. virtual cycloidal path formation mechanism
Virtual cycloidal path formation mechanism includes control device, virtual cycloidal path formation auxiliary body and touching box 21.
3.1 virtual cycloidal paths form auxiliary body
It includes the fixed round disk 18 and fixed round ring 26 being arranged concentrically that the virtual cycloidal path, which forms auxiliary body, described
The region for being shaped to virtual cycloidal path is enclosed between fixed round disk 18 and fixed round ring 26；The fixed round disk 18 is installed in institute
The top for determining Knucle-gear 17 is stated, and the diameter of the fixed round disk 18 is less than the diameter for determining Knucle-gear 17；It is described fixed round
Ring 26 is fixed on the bracket 8, and the upside for determining knuckle-tooth circle 14, the fixed round ring is arranged in the fixed round ring 26
26 interior diameter is greater than the interior diameter for determining knuckle-tooth circle 14.
As shown in figure 3, the fixed round disk 18 and fixed round ring 26 are in same level.
The region for being used to form virtual cycloidal path is constituted between the fixed round disk 18 and fixed round ring 26.
3.2 touching box
As shown in figure 3, the downside of transparent screen 22 is arranged in the touching box 21.
The touching box 21 is installed on the bracket 8, and the transparent screen 22 is installed in institute by the translucent cover 13 of tubular
It states on deck plate 12；The transparent screen 22, translucent cover 13 and the deck plate 12 collectively form a closed space；It is described
The top of epicycloid paintbrush 20b and hypocycloid paintbrush 20a are in contact with the touching box 21, and can in the touching box 21
With the region of triggering；The touching box 21 is electrically connected with the control device.
The touching box 21, transparent screen 22 and translucent cover 13 collectively form the cover of transparence.
3.3 control device
The control device forms auxiliary body with the virtual cycloidal path and matches, and in the fixed round disk 18 and determines
Virtual cycloidal path is formed on transparent screen 22 between round ring 26.
The control device is computer system comprising as shown in Figure 4 rectangular display screen (i.e. transparent screen 22) and
Several circular function buttons, the computer system are connect with 21 both-way communication of touching box.
The computer system can also control the opening and closing of background light 27 by the function button of setting.
As shown in figure 4, being provided with 5 function buttons in computer system, it is respectively:
Function button 1: selection cycloid type
Function button 2: dynamic circular diameter+(increasing the dynamic circular diameter in transparent screen picture)
Function button 3: dynamic circular diameter-(reducing the dynamic circular diameter in transparent screen picture)
Function button 4: start demonstration or automatic demonstrating (switching)
Function button 5: viewing structure (lighting or close background light)
When needing virtually to demonstrate the generation process of cycloidal path, pass through the hypocycloid being arranged on the dynamic Knucle-gear a16
Epicycloid paintbrush 20b on the dynamic Knucle-gear b23 of paintbrush 20a or described excites touching box 21, and touching box 21 issues signal to calculating
Machine system, computer system then show virtual dynamic circle on transparent screen 22, and it is circumscribed that the virtually dynamic circle with entity determines round disk 18
Or with surely round 26 inscribe of ring, form the virtually dynamic circle using the control software in computer system and entity determine round disk 18
Or the tangent rolling between the virtual dynamic round and fixed round ring 26, and form the track of epicycloid or hypocycloid.
Certainly, when selecting automatic demonstrating, the virtual cycloidal path formation mechanism in the present invention can also work independently, i.e.,
Under the control of a computer system (touching box 21 is excited without paintbrush, i.e., can also be not provided with touching box in apparatus for demonstrating at this time
21), be formed by virtual dynamic circle determine automatically with entity round disk 18 or with the tangent rolling of round ring 26 surely, and formed epicycloid or
The track of hypocycloid.
It should be noted the fixed round disk 18 in the present embodiment, fixed round ring 26, determine knuckle-tooth circle 14, fixed circle
Gear 17, dynamic Knucle-gear a16, dynamic Knucle-gear b23, translucent cover 13, disk 25 are all made of the production of white clear acrylic, described fixed
Part reflective semitransparent film is posted on the surface of close 22 side of transparent screen of round disk 18 and/or fixed round ring 26.
It elaborates with reference to the accompanying drawing to the demenstration method of epicycloid and hypocycloid, the solid line pendulum in this demenstration method
Line tracking formation mechanism and virtual cycloidal path formation mechanism are fitted to each other, the common demonstration for realizing cycloidal path.
Epicycloidal demenstration method
As shown in figure 5, according to the prompt in 22 upper right corner of transparent screen, selecting epicycloid by function button 1.
By function button 2 and 3, according to the prompt in 22 upper right corner of transparent screen, the virtual dynamic circular diameter in picture is selected.
By function button 4, starts demonstration program, start to demonstrate.At this point, visitor or learner pass through transparent screen 22
It can see two circumscribed disks, one of them is the virtual dynamic circle (referring to the circle of dotted line in Fig. 5) in transparent screen picture, separately
The fixed round disk 18 for the entity seen at one through transparent screen 22 (referring to the solid line circle in Fig. 5).
Rotation hand wheel 1, the virtual dynamic circle on transparent screen 22 start to roll along the fixed round disk 18 of entity, i.e., virtual dynamic circle is opened
It starts from and turns and revolution, the initial point of contact of virtual dynamic round and fixed round disk starts the shape on transparent screen 22 with the virtual rolling for moving circle
At epicycloid curve；
With the rotation of handwheel 1, virtual dynamic circle rolls the epicycloid for forming a cycle after a week around fixed round disk 18
Curve.When handwheel 1 persistently rotates, epicycloid curve then follows the such circularly exhibiting of handwheel 1.When handwheel 1 stops operating, outside
The displaying of cycloidal curve also terminates therewith.
By function button 4, automatic demonstrating is selected, the formation demonstration of the meeting of transparent screen 22 automatic demonstrating epicycloid track is dynamic
It draws.
By function button 5, background light 27 is lighted, continues rotation hand wheel 1, at this point, 22 all transparent of transparent screen, by saturating
Bright screen 22 and translucent cover 13, it can be seen that the dynamic Knucle-gear b23 (moves Knucle-gear b23 around the rotation of Knucle-gear 17 is determined at this time
Around determining the revolution of Knucle-gear 17 and rotation), visitor or learner pass through the epicycloid paintbrush 20b being arranged on dynamic Knucle-gear b23,
Watch the formation of epicycloid track.
By the time of setting, background light 27 is closed.
Repeat aforesaid operations.
The demenstration method of hypocycloid
As shown in fig. 6, according to the prompt in 22 upper right corner of transparent screen, selecting hypocycloid by function button 1；
By function button 2 and 3, according to the prompt in 22 upper right corner of transparent screen, the virtual dynamic circular diameter in picture is selected；
By function button 4, starts demonstration program, start to demonstrate.At this point, visitor or learner pass through transparent screen 22
It can be seen that the disk of two inscribes, one of them is the virtual dynamic circle (referring to the circle of dotted line in Fig. 6) in transparent screen picture, separately
The fixed round ring 26 for the entity seen at one through transparent screen 22 (referring to the solid line circle in Fig. 5).
Rotation hand wheel 1, the virtual dynamic circle on transparent screen 22 start to roll along the fixed round ring 26 of entity, i.e., virtual dynamic circle
Start rotation and revolution.The initial point of contact of virtual dynamic round and fixed round ring starts on transparent screen 22 with the virtual rolling for moving circle
Form hypocycloid curve.
With the rotation of handwheel 1, virtual dynamic circle rolls the hypocycloid for forming a cycle after a week around fixed round ring 26
Curve.When handwheel 1 persistently rotates, hypocycloid curve then follows the such circularly exhibiting of handwheel 1.It is interior when handwheel 1 stops operating
The displaying of cycloidal curve also terminates therewith.
By function button 4, automatic demonstrating is selected, the formation demonstration of the meeting of transparent screen 22 automatic demonstrating hypocycloid track is dynamic
It draws.
By function button 5, background light 27 is lighted, continues rotation hand wheel 1, at this point, 22 all transparent of transparent screen, by saturating
Bright screen 22 and translucent cover 13, it can be seen that the dynamic Knucle-gear a16 around determine the rotation of knuckle-tooth circle 14 (at this time dynamic Knucle-gear a16 around
Determine the revolution of knuckle-tooth circle 14 and rotation), visitor or learner pass through the hypocycloid paintbrush being arranged on dynamic Knucle-gear a16
20a watches the formation of hypocycloid track.
By the time of setting, background light 27 is closed；
Repeat aforesaid operations.
It should be pointed out that being not limited to that other tools can also be taken using bracket 8 to the supporting mechanism of deck plate 12 in the present invention
There is the device of support function, for example, showcase can be used, device is mounted on showcase；For another example, it is designed to support
Deck plate and the upper box for storing the following component of deck plate, deck plate are fastened on upper box upper end, and the lower end of upper box connects
It is connected to lower box, partition is equipped between upper box and lower box, the base position of lower box, which is equipped with, to be blocked in lower box bottom
Bottom plate, one side and the pedestal of bottom plate constitute hinged cooperation, and the another side of bottom plate is provided with the bolt knot being linked together with pedestal
Structure can open or close bottom plate；When opening, installation or maintenance internal component can be convenient, after, bolt can be passed through
Close bottom plate.
Likewise, use also can be installed vertically in cycloidal path apparatus for demonstrating, for example, be mounted on the wall or vertical plate face on
It uses.
For transmission device, embodiment is the hand-rail type of belt transmission.Likewise, other knots also can be used in transmission device
Structure, such as gear drive, chain transminssion mechanism.Such transformation is within the scope of the present invention.
Claims (7)
1. the cycloidal path apparatus for demonstrating that a kind of actual situation combines, which is characterized in that the apparatus for demonstrating includes following component part:
Bracket (8) is provided with the cover of transparence on the bracket (8), is provided with lighting device on the inside of the cover；
Solid line cycloidal path formation mechanism, the solid line cycloidal path formation mechanism is fixed on the bracket (8), and institute
Solid line cycloidal path formation mechanism is stated to be arranged in the cover of transparence；
Virtual cycloidal path forms auxiliary body, for limiting the region for forming virtual cycloidal path；
Control device, the control device forms auxiliary body with the virtual cycloidal path and matches, described in transparence
Virtual cycloidal path is formed in the cover；
The solid line cycloidal path formation mechanism includes the support shaft (9) being installed on bracket (8), the axis of the support shaft (9)
It is arranged with it and constitutes the supplementary bearing seat (11) being rotatably assorted with support shaft (9)；The solid line cycloidal path formation mechanism is also wrapped
Include the fixed rotatable parts being set on the outside of the supplementary bearing seat (11) and supplementary bearing seat (11) is followed to rotate；The solid line cycloid
Track formation mechanism is respectively arranged with solid line epicycloid track on the upside of the rotatable parts and forms unit and solid line hypocycloid
Track forms unit；The solid line cycloidal path formation mechanism further includes for driving the supplementary bearing seat (11) around support shaft
(9) driving device rotated；
It includes constituting external toothing each other to determine Knucle-gear (17) and dynamic Knucle-gear b that solid line epicycloid track, which forms unit,
(23), described to determine Knucle-gear (17) and be fixed on the stretching of the support shaft (9) in the end point on supplementary bearing seat (11) top, it is described
Dynamic Knucle-gear b (23) are rotatably mounted on the rotatable parts, the dynamic Knucle-gear b when rotatable parts rotation
(23) it around Knucle-gear (17) revolution and rotation is determined, is installed on the dynamic Knucle-gear b (23) inclined with the dynamic Knucle-gear b (23)
The epicycloid paintbrush (20b) of heart setting；
It includes constituting internal messing each other to determine knuckle-tooth circle (14) and dynamic Knucle-gear a that solid line hypocycloid track, which forms unit,
(16), described to determine knuckle-tooth circle (14) and be fixed on the bracket (8), the dynamic Knucle-gear a (16) is rotatably mounted to described
On rotatable parts, when rotatable parts rotation, the dynamic Knucle-gear a (16), which is surrounded, determines knuckle-tooth circle (14) revolution and rotation, institute
State the hypocycloid paintbrush (20a) being installed on Knucle-gear a (16) with dynamic Knucle-gear a (16) eccentric setting；
The epicycloid paintbrush (20b) matches with the cover of transparence with the hypocycloid paintbrush (20a), to work as
The rotatable parts under the drive of the supplementary bearing seat (11) around support shaft (9) rotate when, the epicycloid paintbrush (20b) with
The hypocycloid paintbrush (20a) is respectively formed epicycloid track and hypocycloid track in the cover of transparence；
It includes the fixed round disk (18) and fixed round ring (26) being arranged concentrically that the virtual cycloidal path, which forms auxiliary body, described
The region for being shaped to virtual cycloidal path is enclosed between fixed round disk (18) and fixed round ring (26)；The fixed round disk (18) is solid
It is located at the top for determining Knucle-gear (17), and the diameter of the fixed round disk (18) determines the straight of Knucle-gear (17) less than described
Diameter；The fixed round ring (26) is fixed on the bracket (8), and fixed round ring (26) setting determines knuckle-tooth circle described
(14) interior diameter of upside, the fixed round ring (26) is greater than the interior diameter for determining knuckle-tooth circle (14).
2. the cycloidal path apparatus for demonstrating that actual situation according to claim 1 combines, which is characterized in that the bracket (8)
Upside is installed with deck plate (12), and the deck plate (12) is set in the outside of the supplementary bearing seat (11)；The cover includes
The touching box (21) and transparent screen (22) set gradually from bottom to top, the touching box (21) are installed on the bracket (8), institute
Transparent screen (22) are stated to be installed on the deck plate (12) by translucent cover (13)；The transparent screen (22), translucent cover (13) with
And the deck plate (12) collectively forms a closed space；The epicycloid paintbrush (20b) and hypocycloid paintbrush (20a)
Top is in the region that the touching box (21) can trigger；The touching box (21) is electrically connected with the control device.
3. the cycloidal path apparatus for demonstrating that actual situation according to claim 2 combines, which is characterized in that the fixed round disk
(18), determine round ring (26), determine knuckle-tooth circle (14), determine Knucle-gear (17), dynamic Knucle-gear a (16), move Knucle-gear b (23), is transparent
Cover (13), rotatable parts are all made of the production of white clear acrylic, described to determine round disk (18) and/or determine leaning on for round ring (26)
Part reflective semitransparent film is posted on the surface of nearly transparent screen (22) side.
4. the cycloidal path apparatus for demonstrating that actual situation according to claim 3 combines, which is characterized in that the driving device packet
Include convenient for manpower grasp handwheel (1), the handwheel (1), which is arranged, to be fixed on live spindle (2), the live spindle (2) with
The supplementary bearing seat (11) is connected by transmission mechanism.
5. the cycloidal path apparatus for demonstrating that actual situation according to claim 4 combines, which is characterized in that the transmission mechanism is
Belt gear is made of main pulley (4a), belt (5a) and secondary pulley (6a)；The main pulley (4a) is fixed
It is mounted on live spindle (2), the secondary pulley (6a) is fixedly mounted on supplementary bearing seat (11), the main pulley (4a)
Pass through belt (5a) driving secondary pulley (6a) rotation.
6. a kind of demenstration method of the cycloidal path apparatus for demonstrating combined such as the described in any item actual situations of claim 2~5, special
Sign is, passes through the epicycloid paintbrush (20b) and/or hypocycloid paintbrush (20a) excitation touching box (21) and control device, institute
It states control device and shows that virtual dynamic circle, the virtual dynamic circle are shown in the fixed round disk of entity on the transparent screen (22)
(18) between fixed round ring (26), and the following two kinds scheme is formed:
First, it is described it is virtual dynamic round internal messing and tangent is constituted with the fixed round disk (18), described in the control device controls
Virtual dynamic circle movement forms the virtual dynamic round tangent rolling between the two with the fixed round disk (18), and forms hypocycloid
Track；
Second, it is described it is virtual dynamic round external toothing and tangent is constituted with the fixed round ring (26), described in the control device controls
Virtual dynamic circle movement forms the virtual dynamic round tangent rolling between the two with the fixed round ring (26), and forms epicycloid
Track.
7. the demenstration method for the cycloidal path apparatus for demonstrating that actual situation according to claim 6 combines, it is characterised in that: described
Virtually dynamic diameter of a circle is adjustable, and the virtual dynamic circle of different-diameter size forms different cycloidal paths when rolling.
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| Application Number | Priority Date | Filing Date | Title |
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| CN201711237504.5A CN108257457B (en) | 2017-11-30 | 2017-11-30 | The cycloidal path apparatus for demonstrating and demenstration method that actual situation combines |
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| Application Number | Priority Date | Filing Date | Title |
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| CN201711237504.5A CN108257457B (en) | 2017-11-30 | 2017-11-30 | The cycloidal path apparatus for demonstrating and demenstration method that actual situation combines |
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| CN108257457B true CN108257457B (en) | 2019-07-19 |
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| CN109658784B (en) * | 2019-02-20 | 2020-09-15 | 哈尔滨学院 | University's mathematics cycloid teaching aid |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1622098A (en) * | 2005-01-07 | 2005-06-01 | 北京北大方正电子有限公司 | Dynamic cycloid computer simulation method |
| CN203267557U (en) * | 2012-11-22 | 2013-11-06 | 广东工业大学 | Luminous board and luminous pen for writing on luminous board |
| CN203746298U (en) * | 2014-03-05 | 2014-07-30 | 李辉 | Hypocycloid demonstration teaching aid of using planetary gear train |
| CN105448182A (en) * | 2015-12-10 | 2016-03-30 | 陈菊芳 | Earth and moon demonstration instrument |
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2017
- 2017-11-30 CN CN201711237504.5A patent/CN108257457B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1622098A (en) * | 2005-01-07 | 2005-06-01 | 北京北大方正电子有限公司 | Dynamic cycloid computer simulation method |
| CN203267557U (en) * | 2012-11-22 | 2013-11-06 | 广东工业大学 | Luminous board and luminous pen for writing on luminous board |
| CN203746298U (en) * | 2014-03-05 | 2014-07-30 | 李辉 | Hypocycloid demonstration teaching aid of using planetary gear train |
| CN105448182A (en) * | 2015-12-10 | 2016-03-30 | 陈菊芳 | Earth and moon demonstration instrument |
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| CN108257457A (en) | 2018-07-06 |
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