CN103473972B - Pendulous device - Google Patents
Pendulous device Download PDFInfo
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- CN103473972B CN103473972B CN201310458535.9A CN201310458535A CN103473972B CN 103473972 B CN103473972 B CN 103473972B CN 201310458535 A CN201310458535 A CN 201310458535A CN 103473972 B CN103473972 B CN 103473972B
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Abstract
The invention relates to a simple pendulum device. In the prior art, when a pendulum ball is replaced, a pendulum length needs to be determined again, and pendulating is prone to being in chaos. The pendulum length of the pendulous device is unchanged. According to the technical scheme needed to solve the technical problem, the pendulous device comprises a pendulum ball body and a pendulum rope and is characterized in that the pendulum ball body is provided with a first hole and a second hole, the axis of the first hole and the axis of the second hole are coaxial and penetrate through a ball center, the bore diameter of the first hole is larger than that of the second hole, the intersection face of the first hole and the second hole is a plane passing through the ball center, and the intersection face is perpendicular to the axis of the first hole; the first hole is filled with a round tube, the first hole is fixedly connected with the round tube, the outer diameter of the round tube is equal to the inner diameter of the first hole, the inner diameter of the round tube is smaller than the bore diameter of the second hole, and the two end faces of the round tube are arranged on the intersection face of the first hole and the second hole and the surface of the pendulum ball body respectively; the density of the round tube is smaller than that of the pendulum ball body; the mass center of the whole formed by the pendulum ball body and the round tube is arranged at the ball center of the pendulum ball body.
Description
Technical field
The present invention relates to a kind of single pendulum for dynamics research, demonstration.
Background technology
Dynamics research sometimes can relate to single pendulum, than the experiment had nothing to do if any the cycle and swing ball quality that prove single pendulum, the suspension point of existing swing ball or the top at swing ball, or in the bottom of swing ball, so there is a problem: the swing ball changing a different radii is tested, and just changes pendulum length.Its reason is: pendulum length refers to the distance of suspension point to swing ball barycenter.It is to be noted that pendulum length and rope length are two different physical concepts.Various equivalent modifications should distinguish the meaning that the long meaning of rope is different from pendulum length.
Test research device for single pendulum also has a deficiency: prove that the cycle of single pendulum and amplitude (being also referred to as the amplitude of oscillation) have nothing to do by experiment, or when proving damped vibration, the cycle of single pendulum is constant, need to demonstrate such experiment: the cycle of surveying a single pendulum, record this pendulum in the motion that amplitude is more and more less, how the cycle changes.The deficiencies in the prior art are: the time that single pendulum amplitude reduces is too of a specified duration, and usually want more than 20 minutes, for class demonstration, the time of 20 minutes is too of a specified duration.
In addition: the time of swing was more than 10 minutes, usually there is the unrest pendulum phenomenon (someone is referred to as the chaos phenomenon put) of single pendulum, also sometimes can become conical pendu0 from single pendulum is indescribable, no matter being disorderly put or conical pendu0, is all the phenomenon that this experiment is not wished to occur.If measure 10 minutes, amplitude does not reduce too much, but the motion of pendulum can not be considered as single pendulum, and so, experiment will restart.
Summary of the invention
In order to solve the deficiencies in the prior art, the present invention proposes a kind of pendulous device, and the present invention may be used for studying simple harmonic motion.Further, the present invention has: when swing ball size changes, and the advantage that the pendulum length of single pendulum is constant can also have the advantage that amplitude reduces fast, also has the advantage of not easily disorderly pendulum (or becoming conical pendu0).
The technical solution adopted for the present invention to solve the technical problems is: a kind of pendulous device, comprise pendulum ball body, swing rope, it is characterized in that: pendulum ball body has the first hole, the second hole, the axis collinear in the first hole and the second hole and cross the centre of sphere, the aperture in the first hole is greater than the aperture in the second hole, and the intersection in the first hole and the second hole was the plane of the centre of sphere, and this intersection is perpendicular to the axis in the first hole;
Be filled with a pipe in first hole, the first hole is fixedly connected with pipe, and pipe external diameter equals the internal diameter in the first hole, and round tube inside diameter is less than the aperture in the second hole, and pipe both ends of the surface lay respectively at: the intersection in the first hole and the second hole, the spherome surface of pendulum ball body;
The density of pipe is less than the density of pendulum ball body;
Its barycenter of entirety that pendulum ball body and pipe are formed is at the centre of sphere of pendulum ball body.
The present invention can also be such: pendulum ball body is made up of stainless steel, and pipe is made of aluminum.
The present invention can also be such: pipe is made up of elastic caoutchouc.
The present invention can also be such: the structure of described swing rope is such: cord is arranged with multiple equally spaced disk, the axis of cord is by the center of circle of disk, cord and disk are fixedly connected with, and disk place plane orthogonal is in the cord of straight condition, be arranged with flexible pipe outside disk, the connected mode of disk edge and hose inner wall is for being fixedly connected with.
The present invention can also be such: cord is not the rope of strands, but solid rope.
The present invention can also be such: the fineness of cord (5) is: the diameter 0.05---0.2mm of cord (5); Flexible pipe (7) internal diameter 1mm---2mm.
The present invention can also be such: disk (6) is made up of aluminium or tin.
The present invention can also be such: the thickness of disk (6) is 0.05mm---0.2mm.
The present invention can also be such: the distance between adjacent two disks (6) is 1mm---2mm.
The present invention is that kinetics research device proposes a kind of new technical scheme.
Accompanying drawing explanation
Fig. 1 is the partial structurtes schematic diagram of the embodiment of the present invention one.
Fig. 2 is the structural representation of the embodiment of the present invention one.
Fig. 3 is the partial structurtes schematic diagram of the embodiment of the present invention two.
1-first hole in figure, 2-second hole, 3-pendulum ball body, 4-pipe, 5-cord, 6-disk, 7-flexible pipe.
Embodiment
Below in conjunction with accompanying drawing, design and use of the present invention are further illustrated.
Embodiment one.
See accompanying drawing 1, it is the partial structurtes schematic diagram of the embodiment of the present invention one.This figure reflects the relation in the first hole 2, hole 1, second: pendulum ball body 3 has the first hole 2, hole 1, second, the axis collinear in the first hole 1 and the second hole 2 and cross the centre of sphere, the aperture in the first hole 1 is greater than the aperture in the second hole 2, the intersection in the first hole 1 and the second hole 2 was planes of the centre of sphere, and this intersection is perpendicular to the axis in the first hole 1;
Fig. 2 is the structural representation of the embodiment of the present invention one.A pipe 4 is filled with in first hole 1, first hole 1 is fixedly connected with pipe 4, pipe 4 external diameter equals the internal diameter in the first hole 1, and pipe 4 internal diameter is less than the aperture in the second hole 2, and pipe 4 both ends of the surface lay respectively at: the first hole 1 and the intersection in the second hole 2, the spherome surface of pendulum ball body 3; The density of pipe 4 is less than the density of pendulum ball body 3; Its barycenter of entirety that pendulum ball body 3 and pipe 4 are formed is at the centre of sphere of pendulum ball body 3.
Using method: one end of swing rope is fixed on suspension point, swing rope passes pipe 4, swing rope other end connection (can pass through the modes such as knotting) the pendulum ball body centre of sphere of the present invention.Use swing ball of the present invention, even if change the swing ball of different size, pendulum length is also constant.Because the suspension point barycenter that is constant, swing ball of pendulum is exactly the other end-----the namely centre of sphere of rope.The benefit brought like this is: the swing ball changing different size, does not need to redefine pendulum length.
If be understood that the internal diameter of pipe 4 equals the aperture in the second hole 2 from using method, swing rope is difficult to determine to be connected to the centre of sphere, or swing rope easily comes off.
The present invention can also be such: pendulum ball body is made up of stainless steel, and pipe is made of aluminum.
The present invention can also be such: pipe is made up of elastic caoutchouc.Such benefit is: rubber can deformation, can clamp swing rope closely, because swing rope is through the hole of pipe 4.
Utilize technical solutions according to the invention, various equivalent modifications can determine the mathematical relation between the diameter of pendulum ball body 3, the first hole 1 internal diameter, the second hole 2 internal diameter, pipe 4 aperture by conventional means.
Why swing ball of the present invention can play the constant benefit of pendulum length, also can be understood as: it is long that pendulum length has been numerically equal to rope.Because rope length is that pendulum length also equals suspension point to the centre of sphere from suspension point to the centre of sphere.
In order to solve the deficiency of second described in background technology and the 3rd deficiency, the present invention discloses following technical scheme.
Embodiment two:
See accompanying drawing 3, it is the structural representation of swing rope.
The structure of described swing rope is such: cord 5 is arranged with multiple equally spaced disk 6, the axis of cord 5 passes through the center of circle of disk 6, cord 5 is be fixedly connected with disk 6, and disk 6 place plane orthogonal is in the cord 5 of straight condition, be arranged with flexible pipe 7 outside disk 6, the connected mode of disk 6 edge and flexible pipe 7 inwall is for being fixedly connected with.
Its principle is: swing process, and deformation occurs disk 6, and this deformation some cannot restore to the original state, so energy loss, cause the amplitude of single pendulum to reduce fast.
In fact, the method allowing the amplitude of single pendulum reduce fast is very many.Such as: swing ball is placed in the glue of thickness, for another example: swing rope is changed into very thick rope.But no matter operate like this, be from principle, or from visual effect, all differ greatly with the single pendulum analyzed on textbook.
The swing rope of the present invention of manufacture conveniently, swing rope of the present invention can also be such: cord 5 is not the rope of strands, but solid rope.The cord (being also referred to as fishing line) of such as going fishing.
Flexible pipe can adopt plastic pipe.
For further optimization, the present invention can be such:
The fineness of cord 5 is: the diameter 0.05---0.2mm of cord 5; Flexible pipe 7 internal diameter 1mm---2mm.
Disk 6 is made up of aluminium or tin.
The thickness of disk 6 is 0.05mm---0.2mm.
Distance between adjacent two disks 6 is 1mm---2mm.
Employing diameter is the cord 5, inner diameter 1mm of 0.05mm, and disk 6 is made of aluminum, disk 6 thickness 0.05mm, and the distance between adjacent two disks is 1mm, and can allow such single pendulum in 5 minutes, amplitude, from 8cm, is reduced to 1cm.And adopting sewing threads, fishing line, the amplitude of single pendulum is reduced to 1cm required time all more than 20 minutes from 8cm.And such swing rope also has following benefit: single pendulum can well swing in a plane, be unlikely to chaotic or become conical pendu0, its reason is: allowing such swing rope (having the rope of disk 6 and flexible pipe 7) twist is more difficult (comparing sewing threads, fishing line).Further, such swing rope compares manila rope, closer to the ideal model for single pendulum.Further, hunting period is substantially constant, is considered as constant hunting period in other words in error range.
Use such swing rope to test, save time, and improve the success ratio of experiment.
Experiment shows: cord 5 diameter 0.2mm, or flexible pipe 7 diameter 2mm, or disk 6 is made up of tin, or wafer thickness is 0.2mm, or the distance between adjacent two disks is 2mm, can play identical technique effect: 1, amplitude reduces fast.2, single pendulum swings and is easy in same plane.
Swing rope of the present invention coordinates swing ball of the present invention, also has a benefit: because disk 6 can deformation, so the swing rope with disk is tightr through the hole in the middle of pipe 4.
The present invention is the research of single pendulum, demonstration, teaching provide a kind of new technical scheme.
Claims (5)
1. a pendulous device, comprise pendulum ball body (3), swing rope, it is characterized in that: pendulum ball body (3) has the first hole (1), the second hole (2), the axis collinear of the first hole (1) and the second hole (2) and cross the centre of sphere, the aperture in the first hole (1) is greater than the aperture of the second hole (2), the intersection of the first hole (1) and the second hole (2) was the plane of the centre of sphere, and this intersection is perpendicular to the axis of the first hole (1);
A pipe (4) is filled with in first hole (1), first hole (1) is fixedly connected with pipe (4), pipe (4) external diameter equals the internal diameter of the first hole (1), pipe (4) internal diameter is less than the aperture of the second hole (2), and pipe (4) both ends of the surface lay respectively at:
The intersection of the first hole (1) and the second hole (2), the spherome surface of pendulum ball body (3);
The density of pipe (4) is less than the density of pendulum ball body (3);
The centre of sphere of its barycenter of entirety in pendulum ball body (3) that pendulum ball body (3) and pipe (4) are formed.
2. a kind of pendulous device as claimed in claim 1, is characterized in that: pendulum ball body (3) is made up of stainless steel, and pipe (4) is made of aluminum.
3. a kind of pendulous device as claimed in claim 1, is characterized in that: pipe (4) is made up of elastic caoutchouc.
4. as claim 1,2,3 arbitrary as described in a kind of pendulous device, it is characterized in that: the structure of described swing rope is such: cord (5) is arranged with multiple equally spaced disk (6), the axis of cord (5) passes through the center of circle of disk (6), cord (5) is be fixedly connected with disk (6), and disk (6) place plane orthogonal is in the cord (5) of straight condition, be arranged with flexible pipe (7) outside disk (6), the connected mode of disk (6) edge and flexible pipe (7) inwall is for being fixedly connected with.
5. a kind of pendulous device as claimed in claim 4, is characterized in that: cord (5) is not the rope of strands, but solid rope.
Priority Applications (4)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510001523.2A CN104575185B (en) | 2013-10-03 | 2013-10-03 | A kind of pendulous device |
| CN201510001522.8A CN104575180B (en) | 2013-10-03 | 2013-10-03 | Swinging device |
| CN201510001646.6A CN104575181B (en) | 2013-10-03 | 2013-10-03 | A kind of pendulous device |
| CN201310458535.9A CN103473972B (en) | 2013-10-03 | 2013-10-03 | Pendulous device |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201310458535.9A CN103473972B (en) | 2013-10-03 | 2013-10-03 | Pendulous device |
Related Child Applications (3)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201510001646.6A Division CN104575181B (en) | 2013-10-03 | 2013-10-03 | A kind of pendulous device |
| CN201510001522.8A Division CN104575180B (en) | 2013-10-03 | 2013-10-03 | Swinging device |
| CN201510001523.2A Division CN104575185B (en) | 2013-10-03 | 2013-10-03 | A kind of pendulous device |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN103473972A CN103473972A (en) | 2013-12-25 |
| CN103473972B true CN103473972B (en) | 2015-04-22 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201310458535.9A Expired - Fee Related CN103473972B (en) | 2013-10-03 | 2013-10-03 | Pendulous device |
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| Country | Link |
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| CN (1) | CN103473972B (en) |
Families Citing this family (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104575180B (en) * | 2013-10-03 | 2017-01-04 | 李宗贤 | Swinging device |
| CN104575181B (en) * | 2013-10-03 | 2016-12-21 | 林建明 | A kind of pendulous device |
| CN104867384A (en) * | 2015-06-22 | 2015-08-26 | 湖南城市学院 | Simple pendulum experiment used pendulum ball capable of achieving precise pendulum length |
Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5145378A (en) * | 1990-11-29 | 1992-09-08 | Hands On Instruments | Pendulum principle demonstration apparatus |
| CN2333052Y (en) * | 1998-03-23 | 1999-08-11 | 徐万茂 | Simple pendulum |
| JP2002358001A (en) * | 2001-06-01 | 2002-12-13 | Nomura Co Ltd | Pendulum device |
| CN102360536A (en) * | 2011-07-11 | 2012-02-22 | 北京邮电大学 | Locus measuring apparatus based on LED luminous pendulum ball and measuring method thereof |
| CN202711544U (en) * | 2012-07-10 | 2013-01-30 | 李鑫 | Device and system for gravitational acceleration test |
| CN202887541U (en) * | 2012-11-05 | 2013-04-17 | 周潇 | Simple pendulum vibration probing teaching aid |
| CN202948626U (en) * | 2012-12-16 | 2013-05-22 | 董俊杰 | Simple pendulum teaching demonstrator |
| CN203465872U (en) * | 2013-10-03 | 2014-03-05 | 陈廷 | Simple pendulum apparatus |
-
2013
- 2013-10-03 CN CN201310458535.9A patent/CN103473972B/en not_active Expired - Fee Related
Patent Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5145378A (en) * | 1990-11-29 | 1992-09-08 | Hands On Instruments | Pendulum principle demonstration apparatus |
| CN2333052Y (en) * | 1998-03-23 | 1999-08-11 | 徐万茂 | Simple pendulum |
| JP2002358001A (en) * | 2001-06-01 | 2002-12-13 | Nomura Co Ltd | Pendulum device |
| CN102360536A (en) * | 2011-07-11 | 2012-02-22 | 北京邮电大学 | Locus measuring apparatus based on LED luminous pendulum ball and measuring method thereof |
| CN202711544U (en) * | 2012-07-10 | 2013-01-30 | 李鑫 | Device and system for gravitational acceleration test |
| CN202887541U (en) * | 2012-11-05 | 2013-04-17 | 周潇 | Simple pendulum vibration probing teaching aid |
| CN202948626U (en) * | 2012-12-16 | 2013-05-22 | 董俊杰 | Simple pendulum teaching demonstrator |
| CN203465872U (en) * | 2013-10-03 | 2014-03-05 | 陈廷 | Simple pendulum apparatus |
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| CN103473972A (en) | 2013-12-25 |
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Inventor after: Zhan Feng Inventor after: Long Anyuan Inventor before: Chen Ting |
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Free format text: CORRECT: INVENTOR; FROM: CHEN TING TO: ZHAN FENG LONG ANYUAN Free format text: CORRECT: ADDRESS; FROM: 830002 URUMQI, XINJIANG UYGUR AUTONOMOUS REGION TO: 524400 ZHANJIANG, GUANGDONG PROVINCE |
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Effective date of registration: 20150205 Address after: 524400 No. 78, Lianjiang Economic Development Zone, Zhanjiang, Guangdong Applicant after: Guangdong unity and coherence in writing Professional School Address before: 830002 College of Applied Engineering, Urumqi Vocational University, Urumqi, the Xinjiang Uygur Autonomous Region, No. 723 Applicant before: Chen Ting |
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