CN105303933A - Simple harmonic vibration curve plotting demonstration experimental instrument - Google Patents
Simple harmonic vibration curve plotting demonstration experimental instrument Download PDFInfo
- Publication number
- CN105303933A CN105303933A CN201510828620.9A CN201510828620A CN105303933A CN 105303933 A CN105303933 A CN 105303933A CN 201510828620 A CN201510828620 A CN 201510828620A CN 105303933 A CN105303933 A CN 105303933A
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- Prior art keywords
- motor
- paintbrush
- curve plotting
- crank
- pull bar
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- 238000010422 painting Methods 0.000 claims abstract description 19
- 230000008878 coupling Effects 0.000 claims description 4
- 238000010168 coupling process Methods 0.000 claims description 4
- 238000005859 coupling reaction Methods 0.000 claims description 4
- 230000009286 beneficial effect Effects 0.000 abstract description 2
- 238000004519 manufacturing process Methods 0.000 abstract description 2
- 238000010923 batch production Methods 0.000 abstract 1
- 230000008030 elimination Effects 0.000 abstract 1
- 238000003379 elimination reaction Methods 0.000 abstract 1
- NJPPVKZQTLUDBO-UHFFFAOYSA-N novaluron Chemical compound C1=C(Cl)C(OC(F)(F)C(OC(F)(F)F)F)=CC=C1NC(=O)NC(=O)C1=C(F)C=CC=C1F NJPPVKZQTLUDBO-UHFFFAOYSA-N 0.000 abstract 1
- 238000002474 experimental method Methods 0.000 description 3
- 230000001105 regulatory effect Effects 0.000 description 3
- 238000005096 rolling process Methods 0.000 description 3
- 239000010985 leather Substances 0.000 description 2
- 238000000034 method Methods 0.000 description 2
- 229910000831 Steel Inorganic materials 0.000 description 1
- 230000007812 deficiency Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000009434 installation Methods 0.000 description 1
- 239000000700 radioactive tracer Substances 0.000 description 1
- 239000010959 steel Substances 0.000 description 1
Classifications
-
- 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
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- Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Physics & Mathematics (AREA)
- Mathematical Physics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Algebra (AREA)
- Pure & Applied Mathematics (AREA)
- Educational Administration (AREA)
- Computational Mathematics (AREA)
- Business, Economics & Management (AREA)
- Educational Technology (AREA)
- Theoretical Computer Science (AREA)
- Application Of Or Painting With Fluid Materials (AREA)
Abstract
The invention discloses a simple harmonic vibration curve plotting demonstration experimental instrument comprising a motor control box, a curve plotting motor, a paintbrush pull rod rotating crank, a rotating cylinder motor, and a painting canvas system which are arranged on a pedestal. The curve plotting motor is connected with the paintbrush pull rod rotating crank through a motor rotation disc. The paintbrush pull rod rotating crank is provided with a paintbrush position located on the painting canvas system. The painting canvas system comprises a driving roller and a driven roller. The rotating cylinder motor is connected with the driving roller. The curve plotting motor and the rotating cylinder motor are electrically connected with the motor control box. The simple harmonic vibration curve plotting demonstration experimental instrument has beneficial effects that a crank connecting rod and a plotting needle pull rod are unique in structural design and a curve plotted through mechanical operation is easy for students to understand and grasp, and is simple in structure, visualized, low in manufacture cost, low in fault probability, easy in fault elimination, easy to maintain, and suitable for large-scale batch production, can be disassembled and assembled. The angular velocity of all motors is adjustable and controllable.
Description
Technical field
The present invention relates to experiment instrument, particularly a kind of THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY draws demonstration test instrument.
Background technology
In physics and mathematics, analog vibration tracer has been cooperated by two people, one people makes tip of a pencil vertically vibrate on blank sheet of paper with hand, and another people drags along paper long side direction always, draws the x-t curve that describes nib Vibration Condition; When drawing the THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY of spring oscillator, the pointer on steel ball is with the oscillating curve of spring oscillator, and rolled by a hand slewing circle of people and move paper, the curve that so a kind of motion draws is uneven;
Summary of the invention
The object of the invention is to overcome the deficiencies in the prior art, provide a kind of THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY rational in infrastructure to draw demonstration test instrument.
This THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY draws demonstration test instrument, comprise the motor control box be located on base, curve plotting motor, paintbrush pull bar rotating crank, tube rotaring motor and painting canvas system, described curve plotting motor is connected with paintbrush pull bar rotating crank by electric machine rotation disk, described paintbrush pull bar rotating crank is provided with pen position, described pen position is positioned in painting canvas system, described painting canvas system comprises drive roll and follower rollers, tube rotaring motor is connected with drive roll, and described curve plotting motor is all electrically connected with motor control box with tube rotaring motor.
As preferably: described electric machine rotation disk is radially provided with a row and connects post holes, be spirally connected corresponding joint pin as required; Paintbrush pull bar rotating crank comprises the paintbrush pull bar and crank connecting link that are connected with coupling shaft; Described joint pin is connected with crank connecting link.
The invention has the beneficial effects as follows:
1, crank connecting link and picture pin Tiebar structure design uniqueness, the curve drawn out by machine operation, are easy to student and understand and grasp;
2, structure is simple, directly perceived, cost is low, fault probability is low and be easy to get rid of, easy care, can large-scale mass production, detachable with assembling;
3, motor angular velocity used is all adjustable, controlled, and slowspeed machine drives two cylinders, and cylinder twists paper tape, is easy to the slow Uniform Movement of paper tape;
4, paper speed realizes by control circui motor speed, according to physics knowledge, paper speed i.e. simple harmonic quantity velocity of wave propagation, the wavelength of ripple and frequency realize by control circui motor speed, paintbrush draws out oscillating curve on paper plane, i.e. sinusoidal (or cosine) curve.The amplitude of curve (image) connects different stud position on motor rotating disk by crank connecting link end axle to carry out regulating (crank link length is also fine-tuning simultaneously, and indicates scale);
5, cycle of curve (image), frequency regulate by control circui motor speed, and the initial phase of image then can be regulated by crank paintbrush initial position and determines (can prepare in advance one indicate 360 degree of transparent discs determine first phase accurately).
Accompanying drawing explanation
Fig. 1 is vertical view of the present invention;
Fig. 2 is front elevation of the present invention;
Fig. 3 is crank connecting link and paintbrush Tiebar structure side view;
Fig. 4 is that motor runner and crank connecting link turn to a certain angle state figure;
Fig. 5 is the curve map that various amplitude draws;
Fig. 6 is the curve map that out of phase draws.
Embodiment
Below in conjunction with drawings and Examples, the present invention is described further.Although the present invention will be described in conjunction with preferred embodiment, should know, and not represent and limit the invention in described embodiment.On the contrary, the present invention will contain can be included in attached claims limit scope of the present invention in alternative, modified and equivalent.
As shown in Figure 1, THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY draws demonstration general structure vertical view.1, base, 1-1, instrument operation instruction, 2, motor control box, 3, curve plotting motor, 3-1, electric machine support fixed position, 3-2, motor bearings, 3-3, electric machine rotation dish, 3-4, Electric Machine Control line, 4, paintbrush pull bar rotating crank, 4-1, paintbrush pull bar orientation axes block, 4-2, paintbrush pull bar, 4-3, pen position, 5, Rolling motor, 5-1, tube rotaring motor control line, 6, principal and subordinate wheel rotating cylinder and painting canvas system, 6-1, driving revolving drum, 6-2, rotating shaft, 6-3, principal and subordinate wheel driving belt, 6-4, engaged wheel drum rotation axis, 6-5, engaged wheel cylinder, 6-6, principal and subordinate wheel driving belt.
As shown in Figure 2, THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY draws demonstration general structure front elevation.1, base, 2, motor control box, 3, curve plotting motor, 3-1, electric machine support fixed position, 3-3, electric machine rotation disk, 3-5, motor firm banking, 4, crank structure, 4-1, paintbrush pull bar orientation axes block, 4-3, pen position, 4-10, paintbrush pull rod shaft base, 5, painting canvas Rolling motor, 5-1 painting canvas drum electric support, 6, painting canvas system, 6-7, principal and subordinate's rolling stand.
As shown in Figure 3, crank connecting link and paintbrush Tiebar structure side view.4, rotating crank, 3-3-1, crank and motor rotating disk joint pin, 4-1, paintbrush pull bar orientation axes block, 4-2, paintbrush pull bar, 4-3, pen position, 4-4, crank are turn-taked, 4-5, crank and pull bar coupling shaft, 4-6, crank axle, 4-7, crank connecting link.
As shown in Figure 4, for motor runner and crank connecting link turn to a certain angle state figure.3-3, electric machine rotation dish, 3-2, motor turntable shaft, 3-3-1, crank and motor rotating disk joint pin, 4-1, paintbrush pull bar orientation axes block, 4-2, paintbrush pull bar, 4-3, paintbrush, 4-4, crank are turn-taked, 4-5, crank and pull bar coupling shaft, 4-7, crank connecting link.
According to drawn curve amplitude size, as shown in Figure 4, the rotation axis 4-6 of crank connecting link 4-7 one end can be arranged on the corresponding stud 3-3-1 of corresponding screw on curve plotting motor 3 rotating disk 3-3, realize designated value according to drawn curve amplitude size by regulating crank connecting link 4-7 length and changing screwhole position, if motor 3 drives rotating disk 3-3 by counterclockwise rotating, now, crank 4-4 is to left movement, its band animation pin pull bar 4-2 is to left movement, and paintbrush 4-3, to left movement, is the direction that THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY amplitude reduces, when curve plotting motor 3 rotating shaft 3-2, crank connecting link 4-7 end, stud 3-3-1 and paintbrush pull bar 4-2 are in alignment be crank connecting link 4-7 hold to hold with OB overlap time, now, paintbrush 4-3 reaches high order end, i.e. THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY minimum value (valley), if curve plotting motor 3 continues counterclockwise to rotate, crank connecting link 4-7 promotes from minimum value place, crank connecting link 4-7 gos up, paintbrush pull bar 4-2 gos up, paintbrush 4-3 moves right, namely towards the direction setting-out that amplitude increases, when the radial stud bolt hole of curve plotting motor 3 rotating disk 3-3 goes to paintbrush pull bar 4-2 equidirectional, crank connecting link end points stud 3-3-1, crank connecting link 4-7 and paintbrush pull bar 4-2 moves to low order end, and in line namely crank connecting link 4-7 to hold and OA holds when overlapping, now, paintbrush 4-3 moves to low order end, i.e. drawn THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY peak (maximal value), then, curve plotting motor 3 rotating disk 3-3 continues to rotate counterclockwise, drive crank connecting link 4-7 end points stud 3-3-1, crank 4-7 and paintbrush pull bar 4-2 and paintbrush 4-3 to left movement, this process, profile amplitude can continue to reduce, until position as shown in Figure 4, motor rotating disk 3-3 rotates one week 2 π, and paintbrush 4-3 has also moved one-period T
2i, paintbrush 4-3 returns to and initial amplitude A
0isame position.Subsequently; curve plotting motor 3 is rotated further; curve plotting motor 3 rotating disk 3-3 continues to drive crank connecting link 4-7, paintbrush pull bar 4-2 and paintbrush 4-3 repeating motion; paper plane continues to draw THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY; so repeat itself in endless cycles; until close down curve plotting motor 3, drawn THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY frequency is f
2iby control box 2 set angle speed omega
2irealize.In the process that the corresponding curve plotting motor 3 of paintbrush pull bar 4-2 moves, as shown in Figure 1, 2, painting canvas system 6 tube rotaring motor 5 also drives master rotor 6-1 (chart drum) to rotate, simultaneously, master rotor is synchronously driven by right leather belt 6-3, left leather belt 6-6 and rotates from cylinder 6-5 (paper web), its rotational angular velocity and tube rotaring motor 5 rotational angular velocity ω
1iidentical, the paper in such principal and subordinate's cylinder and painting canvas system 6 plane will with speed v
1imove with uniform velocity, wherein v
0i=r ω
1ir is radius roller, this velocity magnitude v
1ican according to the frequencies of propagation f of simple harmonic wave
1iby control box 2 couples of tube rotaring motor 5 angular velocity setting ω
1irealize.
As shown in Figure 5, be J curve effectJ figure that various amplitude draws.As shown in Figure 6, be design sketch that out of phase draws.
As shown in Figure 1, curve plotting motor 3 is experimentally required to be arranged on position shown in Fig. 1, paintbrush pull bar 4-2 is installed paintbrush end from left to right through in paintbrush pull bar orientation axes block 4-1, electric machine rotation dish 3-3 is installed and is fixed on motor rotation axis 3-2, according to drawn THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY amplitude A
isize, electric machine rotation dish 3-3 selects corresponding screw as the 3rd screw, installs stud 3-3-1 thereon, to be socketed in by crank connecting link 4-7 one end 4-6 on this stud 3-3-1 and to be fixed; Tube rotaring motor 5 is arranged on position as shown in Figure 1, first paper roll is placed in painting canvas system 6 follower rollers 6-5, again main for painting canvas system 6 follower rollers 6-1,6-5 and principal and subordinate's dynamic interlock belt 6-3,6-6 are installed, pull-up painting canvas system 6 follower rollers 6-5 coil paper is opened paper and is walked around drive roll 6-1 by main follower rollers 6-1,6-2 by way of painting canvas system 6 plane, and is stretched by paper and roll up on drive roll 6-1.So far, the installation preliminary work before experiment is all ready.
Use step:
1, according to the curve that various amplitude, initial phase and cycle draw.
1) first to the leveling of experiment instrument for simple harmonic vibration base;
2) paper reels is loaded on follower rollers 6-5, and paper is passed through paintbrush system 6 plane around on drive roll 6-1;
3) paintbrush being filled to paintbrush pull bar 4-2 holds on 4-3 position, according to drawn THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY amplitude A
isize, is bolted in the stud 3-3-1 that crank connecting link rotating shaft 4-6 holds on the corresponding screw of curve plotting motor 3 rotating disk 3-3, and finely tunes crank connecting link 4-7 length, makes it to meet drawn curve amplitude A
irequirement; 4 according to institute's trace initial phase
size, marks initial phase starting point with 360 degree of transparent discs on drawing paper, then is increase or reduce according to drawn curve amplitude, curve plotting motor 3 rotating disk is gone to the relevant position increasing or reduce, and moves on the point of this initial phase by paintbrush 4-3 pin;
4) according to the frequencies of propagation f of simple harmonic wave
1, set the rotational angular velocity ω of tube rotaring motor 5
1, according to the frequency f of drawn THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY
2vibration frequency sets the rotational angular velocity ω of curve plotting motor 3
2, wherein,
5) press motor control box 2 start button, tube rotaring motor 5 and curve plotting motor 3 will rotate by the frequency set (or angular velocity) simultaneously, and paintbrush 4-3 will move and draw corresponding THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY in paper plane;
2, according to the curve that various amplitude, initial phase and cycle draw
6) as shown in Figure 5, initial phase is 0, and cycle T (2 π) is identical, and amplitude (A
i) the THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY design sketch that draws under different condition, its amplitude is respectively: A
1, A
2, A
3, A
4, A
5, A
6;
7) as shown in Figure 6, initial phase is 0, amplitude A
3also identical, and cycle T
idifferent design sketchs, wherein, the cycle of curve I is T
1, the cycle of curve II is T
1/ 2.
Claims (2)
1. a THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY draws demonstration test instrument, it is characterized in that: comprise the motor control box be located on base, curve plotting motor, paintbrush pull bar rotating crank, tube rotaring motor and painting canvas system, described curve plotting motor is connected with paintbrush pull bar rotating crank by electric machine rotation disk, described paintbrush pull bar rotating crank is provided with pen position, described pen position is positioned in painting canvas system, described painting canvas system comprises drive roll and follower rollers, tube rotaring motor is connected with drive roll, described curve plotting motor is all electrically connected with motor control box with tube rotaring motor.
2. THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY according to claim 1 draws demonstration test instrument, and it is characterized in that: described electric machine rotation disk is radially provided with a row and connects post holes, be spirally connected corresponding joint pin as required; Paintbrush pull bar rotating crank comprises the paintbrush pull bar and crank connecting link that are connected with coupling shaft; Described joint pin is connected with crank connecting link.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510828620.9A CN105303933B (en) | 2015-11-25 | 2015-11-25 | A kind of THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY drafting demonstration test instrument |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510828620.9A CN105303933B (en) | 2015-11-25 | 2015-11-25 | A kind of THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY drafting demonstration test instrument |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN105303933A true CN105303933A (en) | 2016-02-03 |
| CN105303933B CN105303933B (en) | 2018-11-02 |
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ID=55201123
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201510828620.9A Expired - Fee Related CN105303933B (en) | 2015-11-25 | 2015-11-25 | A kind of THE CURVES ON WHICH A POINT MASS OSCILLATES HARMONICALLY drafting demonstration test instrument |
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| Country | Link |
|---|---|
| CN (1) | CN105303933B (en) |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN202330199U (en) * | 2011-11-11 | 2012-07-11 | 上海交通大学 | Frictional wear tester for realizing rotation and reciprocating motion by using crankshaft and connecting rod mechanism |
| CN202956959U (en) * | 2012-11-26 | 2013-05-29 | 卢浩源 | Sine curve demonstration instrument |
| CN103257027A (en) * | 2013-05-24 | 2013-08-21 | 山东泰山体育器材有限公司 | Motion simulation test system of gymnastics device |
| CN203706515U (en) * | 2014-01-04 | 2014-07-09 | 西北民族大学 | Simple harmonic vibration demonstration instrument |
| CN205158735U (en) * | 2015-11-25 | 2016-04-13 | 浙江大学城市学院 | Lecture experiment appearance is drawn to simple harmonic vibration curve |
-
2015
- 2015-11-25 CN CN201510828620.9A patent/CN105303933B/en not_active Expired - Fee Related
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN202330199U (en) * | 2011-11-11 | 2012-07-11 | 上海交通大学 | Frictional wear tester for realizing rotation and reciprocating motion by using crankshaft and connecting rod mechanism |
| CN202956959U (en) * | 2012-11-26 | 2013-05-29 | 卢浩源 | Sine curve demonstration instrument |
| CN103257027A (en) * | 2013-05-24 | 2013-08-21 | 山东泰山体育器材有限公司 | Motion simulation test system of gymnastics device |
| CN203706515U (en) * | 2014-01-04 | 2014-07-09 | 西北民族大学 | Simple harmonic vibration demonstration instrument |
| CN205158735U (en) * | 2015-11-25 | 2016-04-13 | 浙江大学城市学院 | Lecture experiment appearance is drawn to simple harmonic vibration curve |
Also Published As
| Publication number | Publication date |
|---|---|
| CN105303933B (en) | 2018-11-02 |
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Granted publication date: 20181102 |