CN104575185B - A kind of pendulous device - Google Patents
A kind of pendulous device Download PDFInfo
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- CN104575185B CN104575185B CN201510001523.2A CN201510001523A CN104575185B CN 104575185 B CN104575185 B CN 104575185B CN 201510001523 A CN201510001523 A CN 201510001523A CN 104575185 B CN104575185 B CN 104575185B
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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
- 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 simple pendulum device.The prior art, it is necessary to redefine pendulum length, and is swung easily chaotic when swing ball is replaced.The pendulum length of the present invention is constant.The technical solution adopted by the present invention to solve the technical problems is：A kind of pendulous device, including 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 crosses the centre of sphere, and the aperture in the first hole is more 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 the intersection is perpendicular to the axis in the first hole；A pipe is filled with first hole, the first hole is fixedly connected with pipe, and pipe outside diameter is equal to the internal diameter in the first hole, and round tube inside diameter is less than the aperture in the second hole, and tube ends face is located at respectively：The spherome surface of the intersection in the first hole and the second hole, pendulum ball body；The density of pipe is less than the density of pendulum ball body；The centre of sphere of its overall barycenter that pendulum ball body and pipe are formed in pendulum ball body.
Description
The application is Application No.：2013104585359th, invention and created name is：A kind of pendulous device, the applying date be：
The divisional application of the application for a patent for invention on October 3rd, 2013.
Technical field
The present invention relates to a kind of for dynamics research, the single pendulum of demonstration.
Background technology
Dynamics research can sometimes be related to single pendulum, the experiment more unrelated than the cycle if any proof single pendulum and swing ball quality,
Or the suspension point of existing swing ball on the top of swing ball, or in the bottom of swing ball, then there has been a problem：Change a difference
The swing ball of radius is tested, and just changes pendulum length.The reason is that：Pendulum length refers to suspension point to the distance of swing ball barycenter.It should be noted
It is：Pendulum length and rope length are two different physical concepts.The meaning that various equivalent modifications should can distinguish rope length is different from
The meaning of pendulum length.
There is a deficiency for the test research device of single pendulum：It is experimentally confirmed cycle and the amplitude of single pendulum（Also by
The referred to as amplitude of oscillation）It is unrelated, or when proof damping vibration, the cycle of single pendulum is constant, it is necessary to demonstrate such experiment：Survey one
In the cycle of single pendulum, record the pendulum in the less and less movement of amplitude, how the cycle changes.The deficiencies in the prior art are：Single pendulum
The time that amplitude reduces is too long, usually wants more than 20 minutes, for class demonstration, the time of 20 minutes is too long.
In addition：More than 10 minutes, usually there is the random pendulum phenomenon of single pendulum in the time of swing（The chaos that someone is referred to as to put shows
As）, also sometimes can be changed into conical pendu0 from single pendulum is indescribable, either random pendulum or conical pendu0, are all that the experiment is not wished
Hope the phenomenon occurred.If measuring 10 minutes, amplitude does not reduce too much, and still, the movement of pendulum cannot be considered as single pendulum,
So, experiment will restart.
The content 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 can be used for studying single pendulum
Movement.Also, the present invention has：When swing ball size changes, the advantages of pendulum length of single pendulum is constant, there can also be amplitude quickly to reduce
The advantages of, also have and be not easy random pendulum（Or it is changed into conical pendu0）The advantages of.
The technical solution adopted by the present invention to solve the technical problems is：A kind of pendulous device, including pendulum ball body, pendulum
Rope, it is characterized in that：Pendulum ball body has the axis collinear and the mistake centre of sphere in the first hole, the second hole, the first hole and the second hole, the first hole
Aperture is more 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 the intersection is perpendicular to the
The axis in one hole；
A pipe is filled with first hole, the first hole is fixedly connected with pipe, and pipe outside diameter is equal to the internal diameter in the first hole,
Round tube inside diameter is less than the aperture in the second hole, and tube ends face is located at respectively：The intersection in the first hole and the second hole, pendulum ball body
Spherome surface；
The density of pipe is less than the density of pendulum ball body；
The centre of sphere of its overall barycenter that pendulum ball body and pipe are formed in pendulum ball body.
What the present invention may also is that：Pendulum ball body is made of stainless steel, and pipe is made of aluminum.
What the present invention may also is that：Pipe is made of elastic rubber.
What the present invention may also is that：The structure of the swing rope is such：Cord is arranged with multiple circles at equal intervals
Piece, the axis of cord is by the center of circle of disk, and cord is to be fixedly connected with disk, and plane where disk is perpendicular to straight condition
Cord, be arranged with hose outside disk, the connection mode of disk edge and hose inner wall is is fixedly connected with.
What the present invention may also is that：Cord is not the rope that strands form, but solid rope.
What the present invention may also is that：Cord（5）Fineness be：Cord（5）Diameter 0.05---0.2mm；It is soft
Pipe（7）Internal diameter 1mm---2mm.
What the present invention may also is that：Disk（6）It is made of aluminium or tin.
What the present invention may also is that：Disk（6）Thickness be 0.05mm---0.2mm.
What the present invention may also is that：Adjacent two disk（6）The distance between be 1mm---2mm.
The present invention proposes a kind of new technical solution for kinetics research device.
Brief description of the drawings
Fig. 1 is the partial structural diagram of the embodiment of the present invention one.
Fig. 2 is the structure diagram of the embodiment of the present invention one.
Fig. 3 is the partial structural diagram of the embodiment of the present invention two.
The first holes of 1- in figure, the second holes of 2-, 3- pendulum ball bodies, 4- pipes, 5- cords, 6- disks, 7- hoses.
Embodiment
Below in conjunction with the accompanying drawings, the design and use to the present invention further illustrate.
Embodiment one.
It is the partial structural diagram of the embodiment of the present invention one referring to attached drawing 1.The figure reflects the first hole 1, the second hole 2
Relation：Pendulum ball body 3 has the axis collinear and the mistake centre of sphere in the first hole 1, the second hole 2, the first hole 1 and the second hole 2, the first hole 1
Aperture be more than the aperture in the second hole 2, the intersection in the first hole 1 and the second hole 2 was the plane of the centre of sphere, and the intersection is vertical
Axis in the first hole 1；
Fig. 2 is the structure diagram of the embodiment of the present invention one.A pipe 4, the first hole 1 and circle are filled with first hole 1
Pipe 4 is fixedly connected, and 4 outside diameter of pipe is equal to the internal diameter in the first hole 1, and 4 internal diameter of pipe is less than the aperture in the second hole 2,4 both ends of the surface of pipe
It is located at respectively：The intersection in 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 pendulum ball body
3 density；The centre of sphere of its overall barycenter that pendulum ball body 3 and pipe 4 are formed in pendulum ball body 3.
Application method：One end of swing rope is fixed on suspension point, swing rope passes through pipe 4, the connection of the swing rope other end（It can pass through
The modes such as knotting）The pendulum ball body centre of sphere of the present invention.Using swing ball of the present invention, even if replacing different size of pendulum
Ball, pendulum length are also constant.Because the suspension point of pendulum is constant, swing ball barycenter is exactly the other end restricted --- -- namely centre of sphere.This belt transect
Come benefit be：Replace different size of swing ball, it is not necessary to redefine pendulum length.
From application method it is appreciated that：If the internal diameter of pipe 4, equal to the aperture in the second hole 2, swing rope is difficult to determine connection
Easily come off in the centre of sphere, or swing rope.
What the present invention may also is that：Pendulum ball body is made of stainless steel, and pipe is made of aluminum.
What the present invention may also is that：Pipe is made of elastic rubber.Such benefit is：Rubber can be with deformation, can
Closely to clamp swing rope, because swing rope is through the hole of pipe 4.
Using technical solutions according to the invention, various equivalent modifications can determine pendulum ball body by conventional means
Mathematical relationship between 3 diameter, 1 internal diameter of the first hole, 2 internal diameter of the second hole, 4 aperture of pipe.
Why swing ball of the present invention can play the constant benefit of pendulum length, it is understood that be：Pendulum length is numerically
It has been equal to rope length.Because rope length is from suspension point to the centre of sphere, pendulum length is also equal to suspension point to the centre of sphere.
In order to solve second deficiency and the 3rd deficiency described in background technology, the present invention discloses following technical side
Case.
Embodiment two：
It is the structure diagram of swing rope referring to attached drawing 3.
The structure of the swing rope is such：Cord 5 is arranged with multiple disk 6, the axis of cord 5 at equal intervals and passes through circle
The center of circle of piece 6, cord 5 are to be fixedly connected with disk 6, and 6 place plane of disk is outside the cord 5 of straight condition, disk 6
Hose 7 is arranged with, 6 edge of disk is to be fixedly connected with the connection mode of 7 inner wall of hose.
Its principle is：Swing process, disk 6 deform upon, and the deformation some can not restore to the original state, so energy
Amount loss, causes the amplitude of single pendulum quickly to reduce.
In fact, make the method that the amplitude of single pendulum quickly reduces very more.Such as：Swing ball is placed in sticky glue,
For another example：Swing rope is changed into very thick rope.But so operate, either from principle, or from visual effect, all and
The single pendulum analyzed on textbook differs greatly.
Manufacture swing rope of the present invention for convenience, what swing rope of the present invention may also is that：Cord 5 is not
It is the rope that strands form, but solid rope.Such as the cord of fishing（Also referred to as fishing line）.
Hose can use 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；7 internal diameter 1mm---2mm of hose.
Disk 6 is made of aluminium or tin.
The thickness of disk 6 is 0.05mm---0.2mm.
The distance between adjacent two disk 6 is 1mm---2mm.
Using the cord 5 of a diameter of 0.05mm, inner diameter 1mm, disk 6 is made of aluminum, 6 thickness 0.05mm of disk, phase
The distance between adjacent two disks be 1mm, can allow as single pendulum in 5 minutes, amplitude is reduced to 1cm from 8cm.And use
Sewing threads, fishing line, the amplitude of single pendulum are reduced to 1cm required times more than 20 minutes from 8cm.And such swing rope also has
There is following benefit：Single pendulum can be very good to swing in a plane, is unlikely to chaotic or is changed into conical pendu0, the reason for this is that：
Allow such swing rope（There is the rope of disk 6 and hose 7）It is more difficult to twist（Compared to sewing threads, fishing line）.Also, so
Swing rope compare manila rope, closer to be single pendulum ideal model.Also, swing period is basically unchanged, swing period in other words
It is considered as in error range constant.
Tested using such swing rope, save the time, and improve the success rate of experiment.
Experiment shows：5 diameter 0.2mm of cord, either either disk 6 is made 7 diameter 2mm of hose of tin or disk is thick
Spend for 0.2mm, or the distance between adjacent two disk is 2mm, can act as identical technique effect：1st, amplitude quickly subtracts
It is small.2nd, single pendulum swings and is easy in approximately the same plane.
Swing rope of the present invention coordinates swing ball of the present invention, also has a benefit：Because disk 6 can with deformation,
So the swing rope with disk is closer through the hole among pipe 4.
The present invention provides a kind of new technical solution for the research, demonstration, teaching of single pendulum.
Claims (1)
1. a kind of pendulous device, including pendulum ball body (3), swing rope, it is characterized in that：Pendulum ball body (3) has the first hole (1), second
Hole (2), the excessively axis collinear of the first hole (1) and the second hole (2) and the centre of sphere, the aperture of the first hole (1) are more than the hole of the second hole (2)
Footpath, the intersection of the first hole (1) and the second hole (2) was the plane of the centre of sphere, and the intersection is perpendicular to the axis of the first hole (1)
Line；
A pipe (4) be filled with first hole (1), the first hole (1) is fixedly connected with pipe (4), and pipe (4) outside diameter is equal to the
The internal diameter in one hole (1), pipe (4) internal diameter are less than the aperture of the second hole (2), and pipe (4) both ends of the surface are located at respectively：First hole (1)
Intersection, the spherome surface of pendulum ball body (3) with the second hole (2)；
The density of pipe (4) is less than the density of pendulum ball body (3)；
Its overall barycenter that pendulum ball body (3) and pipe (4) are formed pendulum ball body (3) the centre of sphere,
Swing rope passes through pipe (4), and swing rope one end is fixed on suspension point, and the swing rope other end is located at the centre of sphere of pendulum ball body (3).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510001523.2A CN104575185B (en) | 2013-10-03 | 2013-10-03 | A kind of pendulous device |
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510001523.2A CN104575185B (en) | 2013-10-03 | 2013-10-03 | A kind of pendulous device |
| CN201310458535.9A CN103473972B (en) | 2013-10-03 | 2013-10-03 | Pendulous device |
Related Parent Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201310458535.9A Division CN103473972B (en) | 2013-10-03 | 2013-10-03 | Pendulous device |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN104575185A CN104575185A (en) | 2015-04-29 |
| CN104575185B true CN104575185B (en) | 2018-04-17 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201510001523.2A Active CN104575185B (en) | 2013-10-03 | 2013-10-03 | A kind of pendulous device |
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Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| 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 (4)
| 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 |
| 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 |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2002358001A (en) * | 2001-06-01 | 2002-12-13 | Nomura Co Ltd | Pendulum device |
-
2013
- 2013-10-03 CN CN201510001523.2A patent/CN104575185B/en active Active
Patent Citations (4)
| 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 |
| 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 |
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| CN104575185A (en) | 2015-04-29 |
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Effective date of registration: 20180315 Address after: Pujiang County, Zhejiang province 322200 Jinhua city Zhengzhai deep Village Shuige a district 61 Applicant after: Wang Song Address before: 830002, No. 1, unit 8 of family yard, No. 15, 81 middle school, Qingnian Road, Tianshan District, Urumqi City, the Xinjiang Uygur Autonomous Region, 701 Applicant before: Cao Xiaoling |
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