CN106228873A - Chaos phenomenon experimental provision based on wobble ring - Google Patents
Chaos phenomenon experimental provision based on wobble ring Download PDFInfo
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- CN106228873A CN106228873A CN201610814434.4A CN201610814434A CN106228873A CN 106228873 A CN106228873 A CN 106228873A CN 201610814434 A CN201610814434 A CN 201610814434A CN 106228873 A CN106228873 A CN 106228873A
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
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- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/06—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics
- G09B23/08—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/06—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics
- G09B23/08—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics
- G09B23/10—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics of solid bodies
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Abstract
The present invention relates to a kind of chaos phenomenon experimental provision based on wobble ring.The present invention includes support, main rotating shaft and is fixed on main rotating shaft the rotating disk with main rotating shaft synchronous axial system, described main rotating shaft is installed on described support by bearing block, described rotating disk side is fixed with away from described main rotating shaft and the auxiliary rotary shaft that is arranged in parallel with main rotating shaft, being provided with in described auxiliary rotary shaft can be around the auxiliary freely rotatable wobble ring of rotary shaft, and described auxiliary rotating shaft axis is positioned at the ring of described wobble ring and deviates described wobble ring center.The present invention devises a kind of novel Chaos Pendulum mechanism, when described main rotating shaft rotates, described wobble ring is that irregular chaos swings around the rotation direction of auxiliary rotary shaft, visitor or learner can clearly watch the chaos phenomenon that Chaos Pendulum mechanism presents, thus visitor or learner directly perceived cognition to chaos phenomenon is greatly facilitated.
Description
Technical field
The invention belongs to Popular Science Education or teaching field, be specifically related to a kind of chaos phenomenon based on wobble ring experiment dress
Put.
Background technology
The definitiveness of dynamic system is a mathematical concept, refers to that system state at any one time is determined by original state
Fixed.Although the kinestate of arbitrary future time instance can be extrapolated according to the initial condition data moved and the characteristics of motion, but due to
The mensuration of initial condition data can not be the most accurate, it was predicted that result error necessarily occurs, the most measurable.That moves can
Predictability is a physical concept.Even a motion is deterministic, can be the most still uncertain, the two not contradiction.
The success of Newtonian mechanics, particularly it prophesy Neptune on success, misunderstand to a certain extent, definitiveness with can
Predictability is equated, and thinks that regular motion must be predictable.Research after 20 century 70s shows, a large amount of non-thread
Although determining that property of system in property motor system, generally also exist the most sensitive to kinestate initial value, the most random
Uncertain kinestate i.e. chaos phenomenon.
Chaos phenomenon refers to one the most irregular compound movement form present in real world.Common trait is former
Follow the ordered movement form of simple physical rule, deviate suddenly intended regular under certain conditions and become unordered
Form.Chaos phenomenon can occur in some definitiveness dynamic systems the most widely.Chaos phenomenon is in statistical property
It is similar to stochastic process it is considered to be a kind of intrinsic stochasticity in deterministic system.
In teaching process, usual teacher will draw chaos mechanism on blackboard, describes the state of chaos hand and foot, by
In the not visible property of chaos itself, cause the difficulty of intuitional instruction.Modern education activity has the simple Chaos Pendulum machine of individual example
Structure, majority is two section mechanisms, and there is a lot of deficiency in this simplest mechanism, firstly, since structure is excessively in practical activity
Simply so that visitor or learner are misunderstood, think that Chaos Pendulum is exactly such simple mechanism, thus it is raw to have ignored reality
Chaos Pendulum mechanism different in work, its two, due to Chaos Pendulum mechanism can not long lasting for operation, cause visitor or
Learner can not carry out long continuous observation to chaos phenomenon, thus, it is impossible to understood from phenomenon.
Summary of the invention
In order to solve above-mentioned technical problem, the invention provides a kind of chaos phenomenon experimental provision based on wobble ring, this dress
Put and not only allow visitor or learner more be perceive intuitively that chaos phenomenon, and enrich people for chaos mechanism
Understanding and understanding.
In order to realize the purpose of the present invention, present invention employs techniques below scheme:
Chaos phenomenon experimental provision based on wobble ring, including support, main rotating shaft and be fixed on main rotating shaft with master
The rotating disk of rotary shaft synchronous axial system, described main rotating shaft is installed on described support by bearing block, and described rotating disk side is fixed
Having away from described main rotating shaft and the auxiliary rotary shaft that is arranged in parallel with main rotating shaft, described auxiliary rotary shaft is provided with can be around
The wobble ring that auxiliary rotary shaft is freely rotatable, described auxiliary rotating shaft axis is positioned at the ring of described wobble ring and deviates in described wobble ring
The heart.
Further technical scheme, described wobble ring includes the outer toroid arranged in gap, interior annulus, described auxiliary rotary shaft axle
Line is positioned at the ring of described annulus, and described auxiliary rotating shaft axis deviates described inner circle ring axis and puts down with inner circle ring axis
OK, described auxiliary rotary shaft being provided with Cam plate, described outer toroid, interior annulus are fixed on described Cam plate and with Cam plate
Freely rotatable around auxiliary rotary shaft together.
Further technical scheme, described rotating disk is three-jaw rotating disk, and described auxiliary rotary shaft has three and is separately fixed at
Each pawl front end of described three-jaw rotating disk, the three-jaw of described three-jaw rotating disk is 120 ° and is distributed on described main rotating shaft periphery.
Further technical scheme, described main rotating shaft axle head is provided with the rotary handle or electricity driving main rotating shaft to rotate
Machine.
Further technical scheme, described support is fixedly installed on base, is provided with the described pendulum of driving in described base
The position sensor of ring perseveration, electromagnetic driver.
Further technical scheme, infrared sensor that this apparatus for demonstrating also includes being arranged in described outer toroid, for
Catch the photographic head of described infrared sensor signal, gather signal that described photographic head captures and this signal processing is generated fortune
Move the computer of track and described movement locus is synchronized the display shown in real time.
Further technical scheme, the inner ring surface axis runout outer ring surface axis of described outer toroid, described interior annulus interior
Anchor ring axis runout outer ring surface axis, the outer ring surface axis of described outer toroid and the outer ring surface dead in line of interior annulus, described outside
The inner ring surface axis of annulus and the inner ring surface dead in line of interior annulus, described Cam plate is fixed on described outer toroid, interior annulus
Ring width the widest part.
Further technical scheme, the excircle direction along described wobble ring is fixed with magnetic mutual with described electromagnetic driver
The Magnet of effect, the position signalling of the described wobble ring sensed is supplied to described electromagnetic driver and makes by described position sensor
Obtain electromagnetic driver and excite magnetic field;When described wobble ring moves closer to position sensor, and described electromagnetic driver carries to described Magnet
For suction;Being intended to after described wobble ring is rocked to minimum point away from described electromagnetic driver, described electromagnetic driver is to described Magnet
Repulsion is provided.
Further technical scheme, described infrared sensor is arranged in described outer toroid.
The beneficial effects of the present invention is:
(1) present invention devises a kind of novel Chaos Pendulum mechanism, and when described main rotating shaft rotates, described wobble ring is around auxiliary rotation
The rotation direction of rotating shaft is that irregular chaos swings, owing to relative to shaft-like fork, visual angle more conforms to people and observes
Seeing, be not likely to produce illusion, watch the most for a long time, visitor or learner can clearly watch Chaos Pendulum mechanism to present
The chaos phenomenon gone out.Described wobble ring center is misaligned with the deviation of auxiliary rotating shaft axis, and the eccentric setting of described wobble ring makes wobble ring
Natural amplitude of fluctuation more obvious and natural duration of oscillation more becomes to extending, thus visitor or learner pair are greatly facilitated
Chaos phenomenon directly perceived cognitive.
(2) the interior annulus of described wobble ring, outer toroid are arranged on shape in auxiliary rotary shaft by described Cam plate by the present invention
Become annulus, eccentric excircle ring in the bias that auxiliary rotary shaft rotates.Preferably 3 wobble ring of the present invention also form three circle Chaos Pendulum machines
Structure, the chaos phenomenon of present invention demonstration is the most lively, be rich in stereovision, and structure is attractive in appearance.
Visitor or learner can drive Chaos Pendulum to run by operation rotary handle.Rotary handle of the present invention increases
Added in this apparatus for demonstrating presentation process is interactive and interesting, not only protects apparatus for demonstrating and is not destroyed, meanwhile, also
May advantageously facilitate the understanding to chaos phenomenon in teaching process of visitor or learner, substantially increase quality of instruction.Additionally
The present invention can start Chaos Pendulum by the energising of motor moment (i.e. power-off immediately after short time energising) and demonstrate, subsequently, as
Position sensor and electromagnetic driver that base is arranged are started working, and wobble ring can the most continuously sustained oscillation.
Described position sensor and electromagnetic driver specific works process be: in the outside along outer toroid in each wobble ring
Circumferencial direction is all installed with the small magnet of strip, and the two ends magnetic pole of small magnet is respectively N pole and S pole, and the two of small magnet
The sensing of individual magnetic pole does not changes in the motor process of wobble ring;When arbitrary wobble ring is rocked to move closer to position sensor
Time, position sensor detects position and the movement velocity of this wobble ring, and provides to electromagnetic driver according to the position of this wobble ring
Control signal, electromagnetic driver then excites magnetic field, and this magnetic field provides suction to the small magnet being fixed in wobble ring, when wobble ring swings
When being intended to away from electromagnetic driver to minimum point, electromagnetic driver then converts magnetic field small magnet in wobble ring and provides repulsion, with
This supplements the energy that wobble ring consumes in swing process so that wobble ring can the most continuously sustained oscillation.This
Bright take full advantage of in magnetic field and wobble ring the action principle of " same sex is repelled each other, and there is a natural attraction between the sexes " between the two poles of the earth of small magnet, compensate for
In prior art simple Chaos Pendulum can not the drawback of continuous service, visitor or learner can be observed acquisition be had by long-time
Close the knowledge of chaos phenomenon.
This apparatus for demonstrating is not only able to realize unattended automatic operation, it is also possible to make apparatus for demonstrating can be placed in people
Institute's the most accessible place (such as high-altitude, narrow space etc.) demonstrates, and the design outline of its uniqueness can also be as art exhibition
Showing device uses.The present invention can also be driven by manpower and combine Electromagnetic Drive, demonstrates in various places according to actual needs,
Meet the society need of energy-saving and emission-reduction, and simple in construction, reduce maintenance cost, be suitable for long-term science popularization displaying and teaching makes
With.
(3) present invention can by installation infrared sensor in described outer toroid, and catch described red by photographic head
Outer sensor signal, then the signal that captured by photographic head described in computer acquisition this signal processing is generated movement locus,
Synchronizing to show on a display screen movement locus in real time, the cognition intuitively greatly facilitating visitor or learner understands mixed
Ignorant phenomenon.Described movement locus is formed by the position motion of installation infrared sensor on described annulus.
(4) the interior annulus of wobble ring of the present invention, outer toroid are dissymmetrical structure, so can form eccentric block, it is simple to
When demonstrating chaos phenomenon, form bigger amplitude of fluctuation and longer duration of oscillation.
Accompanying drawing explanation
Fig. 1 is the embodiment of the present invention 1 structural representation.
Fig. 2 is the embodiment of the present invention 2 structural representation.
Fig. 3 is the embodiment of the present invention 3 structural representation.
Fig. 4 is the embodiment of the present invention 4 structural representation.
Fig. 5 is wobble ring structural representation.
In figure, the implication of label symbol is as follows:
1-support 2-main rotating shaft 3-bearing block 4-rotary handle 5-rotating disk 6-Cam plate 7-wobble ring
In 7-1-outer toroid 7-2-, annulus 8-assists rotary shaft 9-position sensor 10-electromagnetic driver 11-base
12-motor 13-infrared sensor 14-computer
Detailed description of the invention
Below in conjunction with embodiment technical solution of the present invention made more specific detail:
Embodiment 1
As it is shown in figure 1, support 1, main rotating shaft 2 should be included and be fixed on master by chaos phenomenon experimental provision based on wobble ring
With the three-jaw rotating disk 5 of main rotating shaft 2 synchronous axial system in rotary shaft 2, described main rotating shaft 2 is installed on described by bearing block 3
On frame 1, described three-jaw rotating disk 5 side is fixed with 3 away from described main rotating shaft 2 and the auxiliary that is arranged in parallel with main rotating shaft 2
Rotary shaft 8, described auxiliary rotary shaft 8 is separately fixed at each pawl front end of described three-jaw rotating disk 5, the three-jaw of described three-jaw rotating disk 5
Being distributed on described main rotating shaft 2 in 120 ° peripheral, described auxiliary rotary shaft 8 is provided with can be freely rotatable around auxiliary rotary shaft 8
Wobble ring 7, described auxiliary rotary shaft 8 axis is positioned at the ring of described wobble ring 7, described in described auxiliary rotary shaft 8 axis runout put
Ring 7 axis and parallel with wobble ring 7 axis.
Described wobble ring 7 includes the outer toroid arranged in gap, interior annulus, and described auxiliary rotary shaft 8 is provided with Cam plate 6,
Described outer toroid, interior annulus are fixed on described Cam plate 6 and freely rotatable around auxiliary rotary shaft 8 with Cam plate 6.
Described main rotating shaft 2 axle head is provided with the rotary handle 4 driving main rotating shaft 2 to rotate.
The detailed description of the work process of above-mentioned apparatus for demonstrating: first, visitor or learner are with clockwise or counterclockwise
Direction rotates rotary handle 4, drives apparatus for demonstrating to start demonstration.Three-jaw rotating disk 5 and main rotating shaft 2 Tong Bu start to rotate;Now,
Cam plate 6 has then also begun to rotating freely of its own around auxiliary rotary shaft 8, and the direction rotated and speed are uncertain
's;Meanwhile, wobble ring 7 has started to rotate also around auxiliary rotary shaft 8 by Cam plate 6.Rotating through of three wobble ring 7
Cheng Zhong, the difference of the starting force owing to being subject to, when, after spin for some time, wobble ring 7 can be turned into pendulum at leisure from rotary motion
Move, be finally stopped motion.
Embodiment 2
As in figure 2 it is shown, as different from Example 1, it is somebody's turn to do main rotation described in chaos phenomenon experimental provision based on wobble ring
Axle 2 axle head is provided with the motor 12 driving main rotating shaft 2 to rotate.
The detailed description of the work process of this apparatus for demonstrating: first, visitor or learner moment break after starting motor 12
Electricity, drives apparatus for demonstrating to start demonstration in clockwise and counterclockwise directions.Three-jaw rotating disk 5 and main rotating shaft 2 Tong Bu start to rotate;
Now, Cam plate 6 has then also begun to rotating freely of its own around auxiliary rotary shaft 8, and the direction rotated and speed are not
Determine;Meanwhile, wobble ring 7 has started to rotate also around auxiliary rotary shaft 8 by Cam plate 6.Rotation three wobble ring 7
During Zhuaning, the difference of the starting force owing to being subject to, when, after spin for some time, wobble ring 7 can become at leisure from rotary motion
For swinging, being finally stopped motion.
Embodiment 3
As it is shown on figure 3, as different from Example 1: it is infrared that this apparatus for demonstrating also includes being arranged in described outer toroid
Sensor 13, for catching the photographic head of described infrared sensor signal, gathering signal that described photographic head captures should
Signal processing generates the computer 14 of movement locus and described movement locus synchronizes the display shown in real time.Described
Support 1 is fixedly installed on base 11, be provided with in described base 11 drive described wobble ring perseveration position sensor 9,
Electromagnetic driver 10.
The detailed description of the work process of this apparatus for demonstrating: the detailed description of the work process of above-mentioned apparatus for demonstrating: first,
Visitor or learner rotate rotary handle 4 in clockwise and counterclockwise directions, drive apparatus for demonstrating to start demonstration.Three-jaw rotating disk
5 Tong Bu start to rotate with main rotating shaft 2;Now, Cam plate 6 has then also begun to freely revolving of its own around auxiliary rotary shaft 8
Turn, and the direction rotated and speed are uncertain;Meanwhile, wobble ring 7 passes through Cam plate 6 also around auxiliary rotary shaft 8
Start to rotate.In the rotary course of three wobble ring 7, the difference of the starting force owing to being subject to, when, after spin for some time, putting
Ring 7 can be turned into swing from rotary motion, at leisure in the meantime, if described position sensor 9 and electromagnetic driver 10 do not have
There is startup, then three wobble ring eventually stop motions, if position sensor 9 and electromagnetic driver 10 start, then apparatus for demonstrating
By the most continuously continuous service.
Embodiment 4
As shown in Figure 4, as different from Example 2: it is infrared that this apparatus for demonstrating also includes being arranged in described outer toroid
Sensor 13, for catching the photographic head of described infrared sensor signal, gathering signal that described photographic head captures should
Signal processing generates the computer 14 of movement locus and described movement locus synchronizes the display shown in real time.Described
Support 1 is fixedly installed on base 11, be provided with in described base 11 drive described wobble ring perseveration position sensor 9,
Electromagnetic driver 10.
The detailed description of the work process of this apparatus for demonstrating: first, visitor or learner moment break after starting motor 12
Electricity, drives apparatus for demonstrating to start demonstration in clockwise and counterclockwise directions.Three-jaw rotating disk 5 and main rotating shaft 2 Tong Bu start to rotate;
Now, Cam plate 6 has then also begun to rotating freely of its own around auxiliary rotary shaft 8, and the direction rotated and speed are not
Determine;Meanwhile, wobble ring 7 has started to rotate also around auxiliary rotary shaft 8 by Cam plate 6.Rotation three wobble ring 7
During Zhuaning, the difference of the starting force owing to being subject to, when, after spin for some time, wobble ring 7 can become at leisure from rotary motion
For swinging, in the meantime, if described position sensor 9 and electromagnetic driver 10 do not start, then three wobble ring are eventually stopped
Only motion, if position sensor 9 and electromagnetic driver 10 start, then apparatus for demonstrating will the most persistently be transported
OK.
Apparatus for demonstrating described in described embodiment 3, embodiment 4 is mounted with infrared sensor in outer toroid, passes through photographic head
Catch described infrared sensor signal, then the signal that captured by photographic head described in computer acquisition this signal processing is generated
Movement locus, synchronizes to show on a display screen movement locus in real time, greatly facilitates visitor or learner intuitively
Know from experience and understand chaos phenomenon.
Claims (9)
1. chaos phenomenon experimental provision based on wobble ring, it is characterised in that: include support (1), main rotating shaft (2) and be fixed on
With the rotating disk (5) of main rotating shaft (2) synchronous axial system on main rotating shaft (2), described main rotating shaft (2) is installed by bearing block (3)
On described support (1), described rotating disk (5) side be fixed with away from described main rotating shaft (2) and with main rotating shaft (2) parallel cloth
The auxiliary rotary shaft (8) put, described auxiliary rotary shaft (8) is provided with can be around auxiliary rotary shaft (8) freely rotatable wobble ring
(7), described auxiliary rotary shaft (8) axis is positioned at the ring of described wobble ring (7) and deviates described wobble ring (7) center.
2. chaos phenomenon experimental provision based on wobble ring as claimed in claim 1, it is characterised in that: described wobble ring (7) includes
Outer toroid (7-1) that gap is arranged, interior annulus (7-2), described in described auxiliary rotary shaft (8) axis runout in annulus (7-2) axle
Line and parallel with interior annulus (7-2) axis, described auxiliary rotary shaft (8) is provided with Cam plate (6), described outer toroid (7-1),
It is upper and freely rotatable around auxiliary rotary shaft (8) with Cam plate (6) that interior annulus (7-2) is fixed on described Cam plate (6).
3. chaos phenomenon experimental provision based on wobble ring as claimed in claim 1, it is characterised in that: described rotating disk (5) is three
Pawl rotating disk, described auxiliary rotary shaft (8) has three and is separately fixed at each pawl front end of described three-jaw rotating disk, described three-jaw rotating disk
Three-jaw be 120 ° to be distributed on described main rotating shaft (2) peripheral.
4. chaos phenomenon experimental provision based on wobble ring as claimed in claim 1, it is characterised in that: described main rotating shaft (2)
Axle head is provided with the rotary handle (4) or motor (12) driving main rotating shaft (2) to rotate.
5. chaos phenomenon experimental provision based on wobble ring as claimed in claim 1, it is characterised in that: described support (1) is fixed
Be installed on base (11), be provided with in described base (11) drive described wobble ring (7) perseveration position sensor (9),
Electromagnetic driver (10).
6. chaos phenomenon experimental provision based on wobble ring as claimed in claim 2, it is characterised in that: this apparatus for demonstrating also includes
It is arranged on the infrared sensor in described wobble ring (13), for catching described in the photographic head of described infrared sensor signal, collection
This signal processing is also generated the computer (14) of movement locus and enters described movement locus by signal that photographic head captures
Row synchronizes the display of display in real time.
7. chaos phenomenon experimental provision based on wobble ring as claimed in claim 2, it is characterised in that: described outer toroid (7-1)
Inner ring surface axis runout outer ring surface axis, the inner ring surface axis runout outer ring surface axis of described interior annulus (7-2), described cylindrical
The outer ring surface axis of ring (7-1) and the outer ring surface dead in line of interior annulus (7-2), the inner ring surface axis of described outer toroid (7-1)
With the inner ring surface dead in line of interior annulus (7-2), described Cam plate (6) is fixed on described outer toroid (7-1), interior annulus (7-2)
Ring width the widest part.
8. chaos phenomenon experimental provision based on wobble ring as claimed in claim 5, it is characterised in that: along described wobble ring (7)
Excircle direction is fixed with and the Magnet of described electromagnetic driver (10) mutually magnetic action, and described position sensor (9) will sense
The position signalling of the described wobble ring (7) that should arrive is supplied to described electromagnetic driver (10) and makes electromagnetic driver (10) excite magnetic
?;When described wobble ring (7) moves closer to position sensor (9), described electromagnetic driver (10) provides suction to described Magnet;When
Described wobble ring (7) is intended to after being rocked to minimum point away from described electromagnetic driver (10), and described electromagnetic driver (10) is to described magnetic
Ferrum provides repulsion.
9. chaos phenomenon experimental provision based on wobble ring as claimed in claim 6, it is characterised in that: described infrared sensor
(13) it is arranged in described outer toroid.
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CN2896402Y (en) * | 2006-04-03 | 2007-05-02 | 安徽省科学技术馆 | Chaos-phenomenon demonstration apparatus |
CN204601476U (en) * | 2015-05-14 | 2015-09-02 | 苏州桀勇不锈钢制品有限公司 | A kind of Chaos Pendulum dumbbell |
CN206411958U (en) * | 2016-09-09 | 2017-08-15 | 合肥通用机械研究院 | Chaos phenomenon experimental provision based on wobble ring |
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2016
- 2016-09-09 CN CN201610814434.4A patent/CN106228873B/en active Active
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Publication number | Priority date | Publication date | Assignee | Title |
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US5049080A (en) * | 1990-07-19 | 1991-09-17 | Kriebel And Holsapple, Inc. | Waterwheel demonstrating apparatus |
CN2896402Y (en) * | 2006-04-03 | 2007-05-02 | 安徽省科学技术馆 | Chaos-phenomenon demonstration apparatus |
CN204601476U (en) * | 2015-05-14 | 2015-09-02 | 苏州桀勇不锈钢制品有限公司 | A kind of Chaos Pendulum dumbbell |
CN206411958U (en) * | 2016-09-09 | 2017-08-15 | 合肥通用机械研究院 | Chaos phenomenon experimental provision based on wobble ring |
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