CN201673617U - Experimental facility for demonstrating chaos theory - Google Patents
Experimental facility for demonstrating chaos theory Download PDFInfo
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- CN201673617U CN201673617U CN201020181713XU CN201020181713U CN201673617U CN 201673617 U CN201673617 U CN 201673617U CN 201020181713X U CN201020181713X U CN 201020181713XU CN 201020181713 U CN201020181713 U CN 201020181713U CN 201673617 U CN201673617 U CN 201673617U
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Abstract
The utility model relates to an experimental facility for demonstrating chaos theory, which is characterized by comprising a demonstrating cabinet. At least two chaos pendulums with the same structure and a control button are arranged on the front face of the demonstrating cabinet, motor driving mechanisms equal to the chaos pendulums in number are arranged inside the demonstrating cabinet, each chaos pendulum comprises a main swing rod and at least three auxiliary swing rods connected with the main swing rod through a rotary shaft, each auxiliary swing rod is connected with a secondary swing rod, the main swing rod is connected with the motor driving mechanisms through a main rotary shaft, and the motor driving mechanisms are controlled by the control button to move synchronously. The chaos pendulums with the same structure generate different swings after simultaneous starting to lead participants to visually know the chaos, and accordingly to know the chaos theory and understand thinking of the chaos theory.
Description
Technical field
The utility model relates to a kind of experimental provision of demonstrating chaos principle.
Background technology
Chaology is that system is theoretical from a kind of evolution that becomes disordered state in order suddenly, is to the approach of inherence " stochastic process " formation that occurs in the deterministic system, the investigation of mechanism.The years of researches of scientists process find that chaos system is an acyclic irreversible process, and it is responsive to the initial value reaction, and a small disturbance changes, and will produce beyond thought result, and long-term action is unpredictable.Subtle change such as weather also can cause tremendous influence.The trickle change of air pressure or wind direction can make original sunny bright and beautiful sky become gloomily cloudy.
Chaos phenomenon results from object and constantly duplicates the motion state of previous stage with certain rule, and the unpredictable random effect that produces.Chaos phenomenon betides the object or the system of easy change, and this object is very simple at the beginning of in action, but after the continuous change through certain rule, but produces the consequence of expecting and not reached, just chaos state.But chaos state is different from general rambling chaotic situation, after long-term and complete analysis, can therefrom put out certain rule in order.
But what is a chaos phenomenon actually? people can only sense, and can not understand intuitively.
Summary of the invention
The utility model is for a kind of experimental provision of demonstrating chaos principle is provided to people.Start the different dancing that the back takes place simultaneously by a plurality of identical chaos pendulum in this apparatus for demonstrating, make spectators understand chaos phenomenon intuitively, thus the understanding chaos principle.
To achieve these goals, the utility model provides a kind of experimental provision of demonstrating chaos principle, be characterized in, comprise the demonstration cabinet, the front of described demonstration cabinet is provided with at least two chaos pendulum and control knobs that structure is identical, is provided with in the described demonstration cabinet and the identical motor-driven mechanism of chaos pendulum quantity; Described each chaos pendulum structure is identical, respectively comprises a main fork and at least three secondary forks that are attached thereto by rotating shaft, and each secondary fork respectively connects a fork by rotating shaft; Described main fork is connected with described motor-driven mechanism by main rotary shaft; The control of the controlled button of described each motor-driven mechanism, synchronization action.
The experimental provision of above-mentioned demonstration chaos principle, wherein, three secondary forks of described each chaos pendulum are respectively by major-minor fork bindiny mechanism two ends that are connected described main fork and middle-end free to rotate; Described each time fork is by the inferior-defective fork bindiny mechanism end that is connected each self-corresponding described secondary fork free to rotate.
The experimental provision of above-mentioned demonstration chaos principle, wherein, described major-minor fork bindiny mechanism comprise two end secondary pendulum bindiny mechanisms that are arranged on main fork two ends and be arranged on main fork middle-end one in secondary pendulum bindiny mechanism; Wherein: the secondary bindiny mechanism of putting is relative with described main rotary shaft in described, should in secondary pendulum bindiny mechanism comprise that a middle-end master who is arranged on main fork middle-end puts support set, and is arranged on the middle-end master and puts bearing in the support set, described main rotary shaft is enclosed within the described bearing, and is coupled fixing by lock-screw; Described two the secondary pendulum of end bindiny mechanism structures are identical, comprise that respectively the bearing and that a main pendulum support set in two ends, that is arranged on main fork two ends is arranged in the main pendulum support set in these two ends is set in the interior pivot pin of described bearing, coupled fixing by lock-screw.
The experimental provision of above-mentioned demonstration chaos principle, wherein, described inferior-defective fork bindiny mechanism comprises that respectively a pair pendulum support set, that is arranged on secondary fork end is arranged on bearing and in this pair pendulum support set and is set in pivot pin in the described bearing, and is coupled fixing by lock-screw.
The experimental provision of above-mentioned demonstration chaos principle, wherein, the length unanimity of described each secondary fork.
The experimental provision of above-mentioned demonstration chaos principle, wherein, the length of described each secondary fork is inconsistent, the length unanimity of the two secondary forks at two ends wherein, middle secondary fork is long than the length of the two secondary forks at two ends.
The experimental provision of above-mentioned demonstration chaos principle wherein, comprises also and the identical electromagnet group of described chaos pendulum quantity that described electromagnet group is arranged in the described demonstration cabinet, and is corresponding with the main fork of described each chaos pendulum, and is electrically connected with described control knob.
The experimental provision of above-mentioned demonstration chaos principle wherein, is provided with protective cover around described each chaos pendulum.
The experimental provision of above-mentioned demonstration chaos principle, wherein, described lock-screw is for decorating lock-screw.
The experimental provision of above-mentioned demonstration chaos principle, wherein, the end of described each time fork is equipped with the decoration lock-screw.
The utility model adopts in demonstration at least two chaos pendulum cashier's office in a shop is set owing to adopted above technical scheme, and each chaos pendulum is made up of with three secondary forks that are attached thereto and the inferior fork that is connected with three secondary forks respectively a main pendulum.Each chaos pendulum all adopts motor-driven, and adopts electromagnet to adsorb main fork to stop, therefore, can guarantee pushbutton enable after, they can begin independently to freely swing under essentially identical initial state simultaneously.Because motor-driven and electromagnet group can guarantee that the rotating speed and the entry condition of each chaos pendulum are basic identical, allow spectators' direct feel chaos pendulum to the extreme sensitivity of starting condition with this, therefrom be familiar with chaos phenomenon, understand chaology, know from experience the thought of chaology.
Description of drawings
The new concrete structure of this practicality is further provided by following embodiment and accompanying drawing thereof.
Fig. 1 is the surface structure synoptic diagram of a kind of embodiment of the experimental provision of the utility model demonstration chaos principle.
Fig. 2 is the cut-open view of Fig. 1.
Fig. 3 is the A part-structure enlarged diagram of Fig. 2.
Fig. 4 is the structural representation of a chaos pendulum in the experimental provision of the utility model demonstration chaos principle.
Fig. 5 is the left view (part is analysed and observe) of Fig. 4.
Fig. 6 is the C part-structure enlarged diagram of Fig. 5.
Fig. 7 is the B part-structure enlarged diagram of Fig. 5.
Fig. 8 is the synoptic diagram of a kind of state that presents the irregular movement state of the utility model demonstration.
Embodiment
See also Fig. 1~Fig. 3.A kind of experimental provision of demonstrating chaos principle of the utility model, comprise demonstration cabinet 1, the front of described demonstration cabinet 1 is provided with at least two chaos pendulum 2 and one control knobs 3 that structure is identical, is provided with in the described demonstration cabinet and the identical motor-driven mechanism 4 of chaos pendulum quantity.Present embodiment is provided with 3 chaos pendulum that structure is identical, and correspondingly, each chaos pendulum connects a motor-driven mechanism.The control of the controlled button 3 of described each motor-driven mechanism, synchronization action.Also be provided with in described demonstration cabinet and the identical electromagnet group 5 of described chaos pendulum quantity, each electromagnet group 5 has two electromagnet, and each electromagnet is corresponding with the main fork two ends of described each chaos pendulum, and is electrically connected with described control knob.Be provided with protective cover 7 around described each chaos pendulum.
Please in conjunction with consulting Fig. 4.It is identical that described each chaos is put 2 structures, respectively comprises a main fork 21 and at least three secondary forks that are attached thereto by rotating shaft, and present embodiment is provided with three secondary forks 221,222,223, and each secondary fork respectively connects a fork 23 by rotating shaft.The length of described each secondary fork is consistent or inconsistent, is the length unanimity of the two secondary forks 221,223 at two ends in the present embodiment, and middle secondary fork 222 is long than the length of the two secondary forks at two ends.Certainly, also the length of three secondary forks all can be made as unanimity.
See also Fig. 3.Described each motor-driven mechanism 4 structure are identical, in the present embodiment, respectively comprise a motor 41, a pair of belt wheel, wherein main pulley 213 is connected with the output shaft of motor, be connected main pulley and adopt belt gear between the belt wheel with described main rotary shaft 211 from belt wheel 212.Main fork is in transmission connection by main rotary shaft 211 and described motor-driven mechanism, and under the driving of motor-driven mechanism, drives rotation by main rotary shaft.Described motor adopts servomotor, can accurately locate during shutdown.Adopt the mode of electromagnet absorption to make movable pendulum out of service, it is basic identical to reach the starting condition that demonstration three chaos are cashier's office in a shop put.
Please consult Fig. 4 again.Three secondary forks of described each chaos pendulum are respectively by a major-minor fork bindiny mechanism 220 two ends that are connected described main fork and middle-end free to rotate; Described each time fork is by an inferior-defective fork bindiny mechanism 230 end that is connected each self-corresponding described secondary fork free to rotate.
See also Fig. 5.Described major-minor fork bindiny mechanism 220 comprise two the secondary pendulum of end bindiny mechanisms 2201 that are arranged on main fork two ends and be arranged on main fork middle-end one in secondary pendulum bindiny mechanism 2202.The secondary bindiny mechanism 2202 of putting is connected with described main rotary shaft 211 in described.Please cooperate and consult Fig. 6.Should in secondary pendulum bindiny mechanism comprise that a middle-end master who is arranged on main fork 21 middle-ends puts support set 213, and is arranged on the middle-end master and puts bearing 214 in the support set, the head of described main rotary shaft is enclosed within the described bearing, and is coupled fixing by lock-screw 61.
Please cooperate and consult Fig. 7.Described two the secondary pendulum of end bindiny mechanism 2201 structures are identical, comprise that respectively the bearing 216 and that a main pendulum support set 215, in two ends that is arranged on main fork two ends is arranged in the main pendulum support set in these two ends is set in the interior pivot pin 217 of described bearing, coupled fixing by lock-screw 62.
Described inferior-defective fork bindiny mechanism 230 comprises that respectively a pair pendulum support set, that is arranged on secondary fork end is arranged on bearing and in this pair pendulum support set and is set in pivot pin in the described bearing, and is coupled fixing by decorating lock-screw 63.So the secondary pendulum of this structure and above-mentioned end bindiny mechanism 2201 structural similarities are not shown.
Described lock-screw 61 and lock-screw 62 are the decoration lock-screw, perhaps at lock-screw outside surface cover decoration.The end of each time fork also is equipped with decorates lock-screw 64 (as shown in Figure 4).
During demonstration, the participant presses start button, and three chaos pendulum begin swing simultaneously.Because three secondary forks of each chaos pendulum swings with main fork, inferior fork is swung with secondary fork again, and each pendulum all can influence the motion of other pendulum, thereby makes whole complicated movement, chaos unordered, unpredictable.Again because the initial impulse square of each chaos pendulum is always different, therefore can't make each time or the motion starting condition (angular displacement, angular velocity etc.) of each pendulum identical, always have either large or small difference, therefore the motion state of pendulum also just varies.The participant is by experimental observation and the relatively motion state of three chaos pendulum repeatedly, can see that three chaos pendulum finally present irregular motion state, wherein a kind of state is (motion state of each secondary fork, inferior fork is all different) as shown in Figure 8, make the participant intuitively understand the extreme sensitivity of chaos system, therefrom know from experience the thought of chaology starting condition.
Claims (10)
1. the experimental provision of demonstration chaos principle is characterized in that, comprises the demonstration cabinet, and the front of described demonstration cabinet is provided with at least two chaos pendulum and control knobs that structure is identical, is provided with in the described demonstration cabinet and the identical motor-driven mechanism of chaos pendulum quantity; Described each chaos pendulum structure is identical, respectively comprises a main fork and at least three secondary forks that are attached thereto by rotating shaft, and each secondary fork respectively connects a fork by rotating shaft; Described main fork is connected with described motor-driven mechanism by main rotary shaft; The control of the controlled button of described each motor-driven mechanism, synchronization action.
2. the experimental provision of demonstration chaos principle according to claim 1 is characterized in that, three secondary forks of described each chaos pendulum are respectively by major-minor fork bindiny mechanism two ends that are connected described main fork and middle-end free to rotate; Described each time fork is by the inferior-defective fork bindiny mechanism end that is connected each self-corresponding described secondary fork free to rotate.
3. the experimental provision of demonstration chaos principle according to claim 2 is characterized in that, described major-minor fork bindiny mechanism comprise two end secondary pendulum bindiny mechanisms that are arranged on main fork two ends and be arranged on main fork middle-end one in secondary pendulum bindiny mechanism; Wherein:
The secondary bindiny mechanism of putting is connected with described main rotary shaft in described, should in secondary pendulum bindiny mechanism comprise that a middle-end master who is arranged on main fork middle-end puts support set, and is arranged on the middle-end master and puts bearing in the support set, described main rotary shaft is enclosed within the described bearing, and is coupled fixing by lock-screw;
Described two the secondary pendulum of end bindiny mechanism structures are identical, comprise that respectively the bearing and that a main pendulum support set in two ends, that is arranged on main fork two ends is arranged in the main pendulum support set in these two ends is set in the interior pivot pin of described bearing, coupled fixing by lock-screw.
4. the experimental provision of demonstration chaos principle according to claim 2, it is characterized in that, described inferior-defective fork bindiny mechanism comprises that respectively a pair pendulum support set, that is arranged on secondary fork end is arranged on bearing and in this pair pendulum support set and is set in pivot pin in the described bearing, and is coupled fixing by lock-screw.
5. according to the experimental provision of each described demonstration chaos principle of claim 1~4, it is characterized in that the length unanimity of described each secondary fork.
6. according to the experimental provision of each described demonstration chaos principle of claim 1~4, it is characterized in that the length of described each secondary fork is inconsistent, the length unanimity of the two secondary forks at two ends wherein, middle secondary fork is long than the length of the two secondary forks at two ends.
7. the experimental provision of demonstration chaos principle according to claim 1, it is characterized in that, comprise also and the identical electromagnet group of described chaos pendulum quantity that described electromagnet group is arranged in the described demonstration cabinet, corresponding with the main fork of described each chaos pendulum, and be electrically connected with described control knob.
8. the experimental provision of demonstration chaos principle according to claim 1 is characterized in that, is provided with protective cover around described each chaos pendulum.
9. according to the experimental provision of claim 3 or 4 described demonstration chaos principle, it is characterized in that described lock-screw is for decorating lock-screw.
10. the experimental provision of demonstration chaos principle according to claim 1 is characterized in that, the end of described each time fork is equipped with the decoration lock-screw.
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CN201020181713XU CN201673617U (en) | 2010-04-29 | 2010-04-29 | Experimental facility for demonstrating chaos theory |
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CN201020181713XU CN201673617U (en) | 2010-04-29 | 2010-04-29 | Experimental facility for demonstrating chaos theory |
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Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102622928A (en) * | 2012-03-01 | 2012-08-01 | 合肥工业大学 | Nonlinear buoyancy chaotic experiment device |
CN102903282A (en) * | 2012-10-26 | 2013-01-30 | 玉林师范学院 | Integer-order and fractional-order multifunctional chaotic experiment instrument |
CN106228872A (en) * | 2016-09-09 | 2016-12-14 | 合肥通用机械研究院 | A kind of Chaos Pendulum device that can demonstrate continuously |
CN106228874A (en) * | 2016-09-09 | 2016-12-14 | 合肥通用机械研究院 | SANYE Chaos Pendulum apparatus for demonstrating |
CN108109487A (en) * | 2017-12-22 | 2018-06-01 | 宁波沸柴机器人科技有限公司 | A kind of concentric multistage arc Chaos Pendulum |
CN108877424A (en) * | 2018-08-20 | 2018-11-23 | 陕西师范大学 | Utilize the compound pendulum and preparation method thereof of high-temperature superconductor principle demonstration chaos phenomenon |
-
2010
- 2010-04-29 CN CN201020181713XU patent/CN201673617U/en not_active Expired - Lifetime
Cited By (11)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102622928A (en) * | 2012-03-01 | 2012-08-01 | 合肥工业大学 | Nonlinear buoyancy chaotic experiment device |
CN102622928B (en) * | 2012-03-01 | 2013-11-27 | 合肥工业大学 | Nonlinear buoyancy chaotic experiment device |
CN102903282A (en) * | 2012-10-26 | 2013-01-30 | 玉林师范学院 | Integer-order and fractional-order multifunctional chaotic experiment instrument |
CN102903282B (en) * | 2012-10-26 | 2014-08-27 | 玉林师范学院 | Integer-order and fractional-order multifunctional chaotic experiment instrument |
CN106228872A (en) * | 2016-09-09 | 2016-12-14 | 合肥通用机械研究院 | A kind of Chaos Pendulum device that can demonstrate continuously |
CN106228874A (en) * | 2016-09-09 | 2016-12-14 | 合肥通用机械研究院 | SANYE Chaos Pendulum apparatus for demonstrating |
CN106228872B (en) * | 2016-09-09 | 2020-06-23 | 合肥通用机械研究院有限公司 | Chaotic pendulum device capable of continuously demonstrating |
CN106228874B (en) * | 2016-09-09 | 2020-06-23 | 合肥通用机械研究院有限公司 | Three-leaf chaotic pendulum demonstration device |
CN108109487A (en) * | 2017-12-22 | 2018-06-01 | 宁波沸柴机器人科技有限公司 | A kind of concentric multistage arc Chaos Pendulum |
CN108877424A (en) * | 2018-08-20 | 2018-11-23 | 陕西师范大学 | Utilize the compound pendulum and preparation method thereof of high-temperature superconductor principle demonstration chaos phenomenon |
CN108877424B (en) * | 2018-08-20 | 2021-03-02 | 陕西师范大学 | Composite pendulum for demonstrating chaos phenomenon by using high-temperature superconducting principle and manufacturing method thereof |
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C14 | Grant of patent or utility model | ||
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Granted publication date: 20101215 |