CN101840649A - Motion track research device of points - Google Patents
Motion track research device of points Download PDFInfo
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- CN101840649A CN101840649A CN 201010158854 CN201010158854A CN101840649A CN 101840649 A CN101840649 A CN 101840649A CN 201010158854 CN201010158854 CN 201010158854 CN 201010158854 A CN201010158854 A CN 201010158854A CN 101840649 A CN101840649 A CN 101840649A
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- adjustable motor
- swingle
- adjustable
- absolute
- ruling pen
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Abstract
The invention discloses a motion track research device of points, comprising a transparent thin drawing board (1), a drawing pen clamp (2), a drawing pen (3), a relative rotating rod (4), an adjustable sliding chute (5), an adjustable motor (6), an absolute rotating rod (7), an adjustable sliding chute (8), an adjustable motor (9), a fixed bracket (10), a sliding block (11), a guide rod (12) and a linear displacement sensor (13). The motion tracks of straight lines, parabolas, circles (ellipses), folium, twisted-pair lines, cycloids, Achimedean spirals, cardioids and three-(four and five) leaf rose lines can be drawn by adjusting the positions of the adjustable motor (6) on the absolute rotating rod (7) and the relative rotating rod (4) and adjusting the rotating speed ratio of the adjustable motor (9) to the adjustable motor (6). The invention can be used for the demonstration and the experiment of the motion tracks of the points in the kinematic teaching.
Description
Technical field
The present invention relates to the motion track research device of theoretical mechanics experimental point, belong to college teaching experimental provision technical field.
Background technology
The geometric properties of kinematics research campaign comprises movement locus, speed and the acceleration etc. of object at the time dependent rule in the position in space, object, and does not relate to the relation between motion and acting force, quality etc.Owing in kinematics, do not relate to the quality of object, so object is reduced to a little and two kinds of models of rigid body according to the character that studies a question.So-called point is meant the geometric point of disregarding size and quality, the indeformable object that rigid body is made up of numerous point.
When the motion of research jobbie, must select a reference body.Fixed coordinate system is called reference frame or reference frame on reference body.In most of engineering reality, generally will be consolidated in tellurian coordinate system as reference system.The motion of describing point has vector method, method of direct coordinate and natural law etc.Vector method is usually used in theoretical derivation, general method of direct coordinate and the natural law of adopting when specifically calculating.Adopt natural law when usually, the movement locus of point is known; Adopt method of direct coordinate when the movement locus of point is unknown.
Trajectory problem is the integration capability of investigating student's logical reasoning ability, arithmetic capability, analyzing problems and solving them in kinematics, is the emphasis difficult point especially of teaching.At present, China's science and engineering universities and colleges also do not have the experiment test device at the track research aspect of point.As by device of the present invention, student (or learner) is by making experiment test, just can image, understand intuitively, particularly and grasp a little orbiting motion feature.
Summary of the invention
The objective of the invention is, demonstrate problem in order to solve at the motion track research of theoretical mechanics mid point, and the movement locus experiment test problem that solves point.
Technical scheme of the present invention is, a kind of motion track research device of point comprises: fixed support (10), be installed in the adjustable motor (9) on the fixed support (10), drive the absolute swingle (7) that work horizontally rotates by adjustable motor (9), being installed in absolute swingle (7) goes up by regulating the adjustable motor (6) of chute (8) adjustment position, drive the relative swingle (4) that work horizontally rotates by adjustable motor (6), being installed in relative swingle (4) goes up by regulating the ruling pen anchor clamps (2) of chute (5) adjustment position, by the fixing ruling pen (3) of ruling pen anchor clamps (2), thin transparent plotting sheet (1), the guide rod (12) that ruling pen drives, the slide block (11) of guiding guide rod motion, measure the linear displacement transducer (13) of ruling pen position coordinates.
Fixed support (10) is installed on thin transparent plotting sheet (1); Adjustable motor (9) is installed on the fixed support (10), can drive absolute swingle (7) during adjustable motor (9) rotation and do to horizontally rotate; Adjustable motor (6) is installed on the absolute swingle (7), and can go up the position at absolute swingle (7) by regulating chute (8) adjusting adjustable motor (6); Can drive relative swingle (4) during adjustable motor (6) rotation does to horizontally rotate; Ruling pen anchor clamps (2) are installed on the relative swingle (4), and can regulate the position of ruling pen anchor clamps (2) on relative swingle (4) by regulating chute (5); Ruling pen anchor clamps (2) are ruling pen (3) fixedly, and ruling pen can be described the movement locus of ruling pen on plotting sheet, simultaneously, the guide rod (12) that ruling pen can drive, the slide block (11) of guide rod (12) guided-moving is along the orbital motion of plotting sheet edge.By measuring the linear displacement transducer (13) of ruling pen position coordinates, convert the displacement signal of slide block to electric signal input computing machine, movement locus that promptly can output point also can synthesize various types of path curves equations.
The present invention is by regulating the position of adjustable motor (6) on absolute swingle (7) and relative swingle (4), regulate the ratio of the velocity of rotation of adjustable motor (9) and adjustable motor (6), can draw the movement locus of straight line, para-curve, circle (ellipse), folium, twisted-pair feeder, cycloid, spiral of Archimedes, cardiod, three (four, five) leaf rose curve this moment; Pass to controller by the signal that linear displacement transducer (13) is recorded, import the movement locus that computing machine just can output point again, also can fit to above-mentioned various types of path curves equation.
The present invention's beneficial effect compared with the prior art is that the motion track research device that the present invention is ordered can be realized the demonstration of the movement locus of various types of points in the kinematics.Simultaneously, directly measure the displacement of ruling pen by linear displacement transducer, pass through control device, measured signal is passed to computing machine, utilize self-editing calculation procedure, can be on computer screen the movement locus of display dot, also can be with the form output of chart, thus help student image, understand intuitively, particularly and grasp a little orbiting motion feature.
The present invention can be used for the demonstration and the experiment of the movement locus of kinematics teaching mid point.
Description of drawings
Fig. 1 is the motion track research device structural representation of point.
Fig. 2 is the motion track research device synoptic diagram of point.
Number in the figure and designation: (1) thin transparent plotting sheet; (2) ruling pen anchor clamps; (3) ruling pen; (4) relative swingle; (5) regulate chute; (6) adjustable motor; (7) absolute swingle; (8) regulate chute; (9) adjustable motor; (10) fixed support; (11) slide block; (12) guide rod; (13) linear displacement transducer.
Embodiment
The embodiment of the invention as depicted in figs. 1 and 2.The motion track research device of present embodiment point is by thin transparent plotting sheet (1); Ruling pen anchor clamps (2); Ruling pen (3); Relative swingle (4); Regulate chute (5); Adjustable motor (6); Absolute swingle (7); Regulate chute (8); Adjustable motor (9); Fixed support (10); Slide block (11); Guide rod (12); Linear displacement transducer (13).
Fixed support (10) is installed on thin transparent plotting sheet (1); Adjustable motor (9) is installed on the fixed support (10), can drive absolute swingle (7) during adjustable motor (9) rotation and do to horizontally rotate; Adjustable motor (6) is installed on the absolute swingle (7), and can go up the position at absolute swingle (7) by regulating chute (8) adjusting adjustable motor (6); Can drive relative swingle (4) during adjustable motor (6) rotation does to horizontally rotate; Ruling pen anchor clamps (2) are installed on the relative swingle (4), and can regulate the position of ruling pen anchor clamps (2) on relative swingle (4) by regulating chute (5); Ruling pen anchor clamps (2) are ruling pen (3) fixedly, and ruling pen can be described the movement locus of ruling pen on plotting sheet, simultaneously, the guide rod (12) that ruling pen can drive, the slide block (11) of guide rod (12) guided-moving is along the orbital motion of plotting sheet edge.By measuring the linear displacement transducer (13) of ruling pen position coordinates, convert the displacement signal of slide block to electric signal input computing machine, movement locus that promptly can output point also can synthesize various types of path curves equations.
According to shown in Figure 1, according to requirement of experiment adjustable motor (6) to be regulated and fixingly to be gone up in place, adjustable motor (9) drives absolute swingle (7) z rotation around the shaft; Being fixed on adjustable motor (6) on the absolute swingle (7) drives relative swingle (4) and rotates around Z-axis; Ruling pen (3) is drawn the movement locus of a P along with ruling pen anchor clamps (2) motion that is fixed on relative swingle (4) on thin transparent plotting sheet (1); Linear displacement transducer (13) transmits signal and gives controller, is transferred to the movement locus of computing machine output point again, and analyzes.
Can obtain movement locus by the present invention with lower curve.
1, by regulating the position of adjustable motor (6) on absolute swingle (7) and relative swingle (4); Regulate the ratio of the velocity of rotation of adjustable motor (9) and adjustable motor (6), can draw straight-line trajectory this moment.
2, by regulating the position of adjustable motor (6) on absolute swingle (7) and relative swingle (4); Regulate the ratio of the velocity of rotation of adjustable motor (9) and adjustable motor (6), can draw the parabolic motion track this moment.
3, by regulating the position of adjustable motor (6) on absolute swingle (7) and relative swingle (4); Regulate the ratio of the velocity of rotation of adjustable motor (9) and adjustable motor (6), can draw circle (ellipse) movement locus this moment.
4, by regulating the position of adjustable motor (6) on absolute swingle (7) and relative swingle (4); Regulate the ratio of the velocity of rotation of adjustable motor (9) and adjustable motor (6), can draw the folium movement locus this moment.
5, by regulating the position of adjustable motor (6) on absolute swingle (7) and relative swingle (4); Regulate the ratio of the velocity of rotation of adjustable motor (9) and adjustable motor (6), can draw the twisted-pair feeder movement locus this moment.
6, by regulating the position of adjustable motor (6) on absolute swingle (7) and relative swingle (4); Regulate the ratio of the velocity of rotation of adjustable motor (9) and adjustable motor (6), can draw the cycloid motion track this moment.
7, by regulating the position of adjustable motor (6) on absolute swingle (7) and relative swingle (4); Regulate the ratio of the velocity of rotation of adjustable motor (9) and adjustable motor (6), can draw the spiral of Archimedes movement locus this moment.
8, by regulating the position of adjustable motor (6) on absolute swingle (7) and relative swingle (4); Regulate the ratio of the velocity of rotation of adjustable motor (9) and adjustable motor (6), can draw heart line style movement locus this moment.
9, by regulating the position of adjustable motor (6) on absolute swingle (7) and relative swingle (4); Regulate the ratio of the velocity of rotation of adjustable motor (9) and adjustable motor (6), can draw three (four, five) leaf rose curve movement locus this moment.
10, pass to controller by the signal that linear displacement transducer (13) is recorded, import the movement locus that computing machine just can output point again, also can fit to above-mentioned various types of path curves equation.
Claims (3)
1. the motion track research device of a point, it is characterized in that, described device comprises, fixed support (10), be installed in adjustable motor on the fixed support (9), drive the absolute swingle (7) that work horizontally rotates by adjustable motor (9), being installed in absolute swingle (7) goes up by regulating the adjustable motor (6) of chute (8) adjustable distance, drive the relative swingle (4) that work horizontally rotates by adjustable motor (6), being installed in relative swingle (4) goes up by regulating the ruling pen anchor clamps (2) of chute (5) adjustable distance, by the fixing ruling pen (3) of ruling pen anchor clamps (2), thin transparent plotting sheet (1), the guide rod (12) that ruling pen drives, the slide block (11) of guiding guide rod motion, measure the linear displacement transducer (13) of ruling pen position coordinates.
2. the motion track research device of point according to claim 1, it is characterized in that, described device is by regulating the position of adjustable motor (6) on absolute swingle (7) and relative swingle (4), regulate the ratio of adjustable motor (9) and the velocity of rotation of adjustable motor (6), can draw straight line, para-curve, circle (ellipse), folium, twisted-pair feeder, cycloid, spiral of Archimedes, cardiod, three (four, five) leaf rose curve movement locus.
3. the motion track research device of point according to claim 1, it is characterized in that, described device passes to controller by the signal that linear displacement transducer (13) is recorded, import the movement locus that computing machine can output point again, also can synthesize the described various types of path curves equations of claim 2.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201010158854 CN101840649B (en) | 2010-04-28 | 2010-04-28 | Motion track research device of points |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201010158854 CN101840649B (en) | 2010-04-28 | 2010-04-28 | Motion track research device of points |
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| Publication Number | Publication Date |
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| CN101840649A true CN101840649A (en) | 2010-09-22 |
| CN101840649B CN101840649B (en) | 2012-10-24 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 201010158854 Expired - Fee Related CN101840649B (en) | 2010-04-28 | 2010-04-28 | Motion track research device of points |
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| CN (1) | CN101840649B (en) |
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| RU2460146C1 (en) * | 2011-04-19 | 2012-08-27 | Олег Александрович Поваляев | Set for demonstrating laws of mechanics (versions), hermetically sealed magnetic sensor and device for determining instantaneous speed of body thrown horizontally |
| RU2473974C1 (en) * | 2011-06-16 | 2013-01-27 | Олег Александрович Поваляев | Instrument for mechanics laws studying |
| CN103354050A (en) * | 2013-08-01 | 2013-10-16 | 陈廷 | Multi-state motion study apparatus |
| CN103996328A (en) * | 2014-06-03 | 2014-08-20 | 湖州师范学院 | Vehicle corner balance testing device and testing method |
| CN104354502A (en) * | 2014-09-26 | 2015-02-18 | 广东工业大学 | Curve plotting method and curve plotter for implementing same |
| CN107346626A (en) * | 2017-08-31 | 2017-11-14 | 中山诺顿科研技术服务有限公司 | A kind of teaching drawing device |
| CN112297682A (en) * | 2020-10-21 | 2021-02-02 | 华东师范大学 | Drawing machine with two-stage mechanical arm structure |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN86205879U (en) * | 1986-08-12 | 1987-09-09 | 林风 | Automatic drawing instrument of link curves |
| CN2264676Y (en) * | 1996-01-22 | 1997-10-15 | 旷跃林 | Multi-functional drawing instrument |
| CN201304821Y (en) * | 2008-11-18 | 2009-09-09 | 刘华 | Multi-purpose folding ruler for blackboard teaching |
| CN101625805A (en) * | 2009-08-05 | 2010-01-13 | 华东交通大学 | Coriolis acceleration test device |
-
2010
- 2010-04-28 CN CN 201010158854 patent/CN101840649B/en not_active Expired - Fee Related
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN86205879U (en) * | 1986-08-12 | 1987-09-09 | 林风 | Automatic drawing instrument of link curves |
| CN2264676Y (en) * | 1996-01-22 | 1997-10-15 | 旷跃林 | Multi-functional drawing instrument |
| CN201304821Y (en) * | 2008-11-18 | 2009-09-09 | 刘华 | Multi-purpose folding ruler for blackboard teaching |
| CN101625805A (en) * | 2009-08-05 | 2010-01-13 | 华东交通大学 | Coriolis acceleration test device |
Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| RU2460146C1 (en) * | 2011-04-19 | 2012-08-27 | Олег Александрович Поваляев | Set for demonstrating laws of mechanics (versions), hermetically sealed magnetic sensor and device for determining instantaneous speed of body thrown horizontally |
| RU2473974C1 (en) * | 2011-06-16 | 2013-01-27 | Олег Александрович Поваляев | Instrument for mechanics laws studying |
| CN103354050A (en) * | 2013-08-01 | 2013-10-16 | 陈廷 | Multi-state motion study apparatus |
| CN103996328A (en) * | 2014-06-03 | 2014-08-20 | 湖州师范学院 | Vehicle corner balance testing device and testing method |
| CN104354502A (en) * | 2014-09-26 | 2015-02-18 | 广东工业大学 | Curve plotting method and curve plotter for implementing same |
| CN104354502B (en) * | 2014-09-26 | 2016-08-24 | 广东工业大学 | A kind of curve plotting method and a kind of curve-drawing instrument for implementing the method |
| CN107346626A (en) * | 2017-08-31 | 2017-11-14 | 中山诺顿科研技术服务有限公司 | A kind of teaching drawing device |
| CN112297682A (en) * | 2020-10-21 | 2021-02-02 | 华东师范大学 | Drawing machine with two-stage mechanical arm structure |
Also Published As
| Publication number | Publication date |
|---|---|
| CN101840649B (en) | 2012-10-24 |
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Granted publication date: 20121024 Termination date: 20140428 |