CN104992612B - V belt translation characteristic parameter teaching mode demonstrator - Google Patents

V belt translation characteristic parameter teaching mode demonstrator Download PDF

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Publication number
CN104992612B
CN104992612B CN201510469354.5A CN201510469354A CN104992612B CN 104992612 B CN104992612 B CN 104992612B CN 201510469354 A CN201510469354 A CN 201510469354A CN 104992612 B CN104992612 B CN 104992612B
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belt
wheel
driven pulley
driving wheel
pressure sensor
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CN104992612A (en
Inventor
任家骏
张明
庞荫铭
李秀红
梁满仓
武志宏
李渊
崔天宁
李玉
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Taiyuan University of Technology
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Taiyuan University of Technology
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Abstract

A kind of V belt translation characteristic parameter teaching mode demonstrator is driving wheel and the driven pulley is horizontal symmetrical setting, and third wheel third wheel and belt under is provided with belt on the center line of driving wheel and driven pulley horizontal symmetrical, belt is set to form tape handler by third wheel under third wheel on driving wheel, driven pulley, belt and belt, and make angle of the belt under third wheel on belt and belt during third wheel position be 120 °, it is additionally provided with pressure sensor and velocity sensor and its display instrument.Intuitive and convenient of the present invention, the measurement for disclosing V belt translation teaching various parameters being easily understood and performance demonstration, and there is economical and practical the characteristics of facilitating, suitable for V belt translation teaching demonstration.

Description

V belt translation characteristic parameter teaching mode demonstrator
Technical field
The present invention relates to a kind of V belt translation teaching demonstration device, is specifically that one kind is used for V belt translation characteristic parameter measurement of imparting knowledge to students Teaching demonstration device.
Background technology
The belt drive testbed for being used to impart knowledge to students both at home and abroad is mainly commerical test platform, and this testing stand is transmission belt factory The testing stand that family designs and manufactured, it is not intended to the classroom instruction demonstrator of V belt translation teaching.Mainly there are DLS-B designs the country Type V belt translation experimental bench etc. is by manually operated regulation rotating speed load, and external the main direction of development is computer distribution control type Control, the measure of belt slip and transmission efficiency is carried out by digital-scroll technique panel reading or computer testing analysis software, Flat belt and the measure of V-belt slip and Belt Transmission Efficiency are realized, and draws slip curve and efficiency curve automatically, The simulation of transmission process can be carried out by computer testing analysis software, observes Elastic Sliding phenomenon.Such V belt translation experimental bench Driven using variable-frequency motor, at PWM loads adjustment of field excitation, single-chip microcomputer control technology, microcomputer distributed control technology and experimental data Reason and administrative skill, greatly improve the gentle experimental precision of Automated water of the experimental bench, and its cardinal principle is control driving wheel Rotating speed is constant within the specific limits, adjusts load, determines rotating speed and the torque of driving wheel and driven pulley respectively, and according to survey Fixed driving wheel and the rotating speed of driven pulley and torque, calculate input power, power output and transmission efficiency, according to driving wheel and from The rotating speed and wheel footpath of driving wheel, calculate slip, and the torque when determining belt slippage under the conditions of different initial tensions.
One of basic experiment of V belt translation experiment category Machine Design, such V belt translation experimental bench is used to impart knowledge to students, using frequency conversion Motor driving, PWM loads adjustment of field excitation, single-chip microcomputer control technology, microcomputer distributed control technology and Data Processing in Experiment and management Technology.Its major advantage is determination data precision height, and automaticity is high.Its weak point is that the V belt translation experimental bench is directly used When teaching and experimental demonstration, although meeting the required precision of V belt translation experimental teaching, the data measured only with transmission With relevant major parameter is designed, such as input torque, output torque, input speed, output speed, so as to obtain slip, effect Rate etc., this understands needed for classroom instruction and the parameter difference grasped is away from larger.Wherein, due to being not provided with belt pull mechanism, because This can not measure initial tension, tight side tension and slack list pulling force, cause effective circle force can not calculate, and can not draw Euler's formula; Because V belt translation load adjustment of field excitation causes when adding increment of load lotus, can only be adjusted by accessing the quantity of resistance (that is, electric light), Although visual in image, also resulting in load increases discontinuous problem;Require that pretightning force is excessive in experiment, pilled-in selvedge can not be observed Slack list position, load, pretightning force etc. can not be also increased continuously, can not more observe the phenomenon of elasticity skidding.
In addition, above-mentioned V belt translation experimental bench uses microcomputer distributed control technology and Data Processing in Experiment and administrative skill, make Obtaining computer turns into the necessary component of the experimental facilities, improves the precision of experimental data, and then adds teaching input, especially It is the explanation knowwhy that teacher can only be simple so that classroom becomes dry speech, does in the teaching of V belt translation During experiment, student needs to review the content of teacher's explanation before testing, and has elongated the instructional blocks of time of this chapter of V belt translation significantly, and And V belt translation experimental bench automatization level is high, pass through computer processing data so that it was observed that data become abstract, while Reduce the ability that student starts to put into practice, experimental courses are lost its due effect and effect.
The content of the invention
The invention solves concrete technical problems be on the basis of existing V belt translation commerical test platform, be modified to class The relevant belt pulley configured transmission of hall teaching and the play configuration of relevant nature, and a kind of V belt translation characteristic parameter measurement religion is provided Learn apparatus for demonstrating.
The above-mentioned concrete technical problems to be solved of the present invention are achieved through the following technical solutions.
A kind of V belt translation characteristic parameter teaching mode demonstrator, including driving wheel, driven pulley, support, belt, pressure sensing Device, velocity sensor and display instrument;It is characterized in that:
The driving wheel is that horizontal symmetrical is set with the driven pulley, and set in driving wheel and driven pulley horizontal symmetrical Third wheel under third wheel and belt is provided with belt on center line, belt is passed through under third wheel and belt on driving wheel, driven pulley, belt Third wheel forms tape handler, and makes angle of the belt under third wheel on belt and belt during third wheel position be 80 °~160 °;
The pressure sensor is third wheel pressure sensor on belt, third wheel pressure sensor and driven pulley pressure on belt Sensor;It is respectively arranged on belt and crosses wheel support, belt was descended on wheel support and driven wheel support;
The velocity sensor is driven pulley photoelectric speed sensor and driving wheel photoelectric speed sensor, and is distinguished It is arranged in the rotating shaft of driven pulley and in the rotating shaft of driving wheel;
The display instrument is under third wheel pressure sensor display instrument on belt, driven pulley pressure sensor display instrument, belt Third wheel pressure sensor display instrument, driven pulley velocity sensor display instrument and driving wheel velocity sensor display instrument, and connect respectively Pressure sensor and velocity sensor are connect, is arranged at display table top.
Further, additional technical feature is as follows.
Angle of the belt under third wheel on belt and belt during third wheel position is further 120 °.
The driving wheel is driven by frequency control motor.
The corresponding casing both sides of the driven wheel support are provided with baffle plate, and offer on the baffle plate and operated with belt The opposite extension chute in direction carries out pretension to belt.
Implement a kind of above-mentioned the provided V belt translation characteristic parameter teaching mode demonstrator of the present invention, by completing Later stage adjusts to its precision, device harmony etc., and repetition test, obtains following effect.
Instant invention overcomes the deficiency of the belt experimental provision in existing V belt translation teaching process, V belt translation teaching has been filled up During teaching aid demonstrate blank, intuitive and convenient, be easily understood disclose V belt translation teaching various parameters measurement and Performance demonstration, and economy, practicality and convenience are taken into full account, play during teaching aid demonstration and knowledge are lectured Important function.
The belt pulley of this teaching mode demonstrator, axle, the structure design of support and sensor, make the pine suffered by belt Side, pilled-in selvedge and initial tension transform into the pressure to sensor, and the equilibrium relation for dexterously applying power obtains dependency number Value, realizes parameter measurement and performance demonstration.Compared with prior art, initial tension, tight side tension, slack list pulling force and cunning are obtained The parameter measurement of dynamic rate, while demonstrate the checking of the overall process and Euler's formula of skidding.
This teaching mode demonstrator exists《Machine Design》In V belt translation teaching process in course, by the skin of classroom teaching Simple lively demonstration with the abstract characteristic parameter of transmission and its complexity by this teaching mode demonstrator, to student with directly perceived Demonstration understands, scene receives the overall process of memory, while effectively raises Classroom Teaching and efficiency, gives classroom instruction band Vigor is carried out, and has enriched the content of courses, the teaching link of this classroom interactions, greatly improve student starts and operate energy Power, theory teaching is combined with on-the-spot demonstration, achieve unexpected effect.
Brief description of the drawings
Fig. 1 is the main structure diagram of the present invention.
Fig. 2 is Fig. 1 of the present invention left view structural representation.
Fig. 3 is force analysis figure of the inventive belt on belt at third wheel.
Fig. 4 is stress error analysis figure of the inventive belt on belt at third wheel.
In figure:1:Driving wheel;2:Belt;3:Third wheel pressure sensor display instrument on belt;4:Wheel support is crossed on belt;5: Third wheel on belt;6:Third wheel pressure sensor on belt;7th, driven pulley pressure sensor display instrument;8:Belt descended wheel support; 9:Third wheel under belt;10:Third wheel pressure sensor under belt;11:Driven wheel support;12:Driven pulley pressure sensor;13:From Driving wheel;14:Lucite casing;15:Driven pulley photoelectric speed sensor;16:Driven pulley velocity sensor display instrument;17: Third wheel pressure sensor display instrument under belt;18:Driving wheel velocity sensor display instrument;19:Driving wheel photo-electric velocity pick-up Device;20:Loading device;21:Cross wheel shaft;22:Bearing;23:Dial.
Embodiment
The embodiment of the present invention is further described in detail below in conjunction with the accompanying drawings.
Implement a kind of V belt translation characteristic parameter MEASUREMENT TEACHING apparatus for demonstrating, including driving wheel, driven pulley horizontal symmetrical are set, Two pressure zone third wheels are located at driving wheel with driven pulley horizontal symmetrical center line, making belt pass through mistake on driving wheel, driven pulley, belt Third wheel forms tape handler under wheel and belt, and makes angle of the belt under third wheel on belt and belt during third wheel position be 120°.Driving wheel is fixed on lucite casing by axle and bearing, and power is connected by casing rear with driving belt pulley shaft Frequency control motor provides, and this motor uses frequency control, it is possible to achieve variable speed.Third wheel and skin on driven pulley, belt Be separately fixed on respective support with lower third wheel, and connected by three sensors, three sensors respectively with three independences Power supply and display are connected, and measurement acts on driven pulley, the power on third wheel.Meanwhile casing front and rear baffle at driven wheel support Provided with sliding groove, support can slide back and forth along groove, for adjusting the pretightning force of belt wheel.Driving pulley, driven pulley front end are stretched Instruction disk, dial are respectively provided with shaft, two plate edges are jagged, coordinate the photoelectric speed sensor mounted in plate edge, The rotating speed of two-wheeled is measured, two velocity sensors are connected with two velocity indicators, show current rotating speed.Stretch follower shaft rear end Go out part and be provided with loading device, the tightness of adjustment bolt, for demonstrator additional load.All parts have been each attached to Transparent attractive in appearance in machine glass box body, observation facilitates directly perceived.
(1) using this V belt translation characteristic parameter MEASUREMENT TEACHING apparatus for demonstrating measurement pretightning force, tight side tension, slack list pulling force and Calculate the principle and process of effective circle force
This V belt translation characteristic parameter MEASUREMENT TEACHING apparatus for demonstrating, using third wheel under third wheel on belt and belt, makes belt exist Angle on belt under third wheel and belt during third wheel position is 120 °, passes through force analysis:
Now,Direction straight down, act on two belt third wheel pressure sensors.So, can directly lead to Cross the pressure sensor display instrument being connected with sensor and directly read relevant parameter, it is not necessary to pass through the conversion of centre.
By belt on third wheel under third wheel on certain initial tension installation driving wheel, driven pulley, belt and belt, to form band Transmission mechanism, at this moment the pulling force in transmission belt is equal, is all initial tension F0.When belt work, due to band and pulley contact The effect of frictional force on face, one side that band moves into driving wheel are further tensed, and pulling force increases to F1 by F0, and this is while be referred to as Pilled-in selvedge;Another side is then relaxed, and pulling force drops to F2 by F0, and this is while be referred to as slack list.The difference of both sides pulling force is referred to as effective pull, with F expressions, i.e.,
F=F1-F2
Effective pull is exactly the effective circle force that V belt translation can transmit.It is not acting on the concentration of a certain fixing point Power, but on band and pulley contact face caused frictional force summation.
During V belt translation, effective resistance moment T on driven pulley2Caused circumferential resistance FzFor
Fz=2T2/d2
During normal work, effective pull F and circumferential resistance FzIt is equal, under certain condition, institute on band and pulley contact face Frictional force caused by energy has a limiting value, i.e. maximal friction (maximum effective circle force) Fmax, as Fmax >=FzWhen, V belt translation It could run well.When exceeding this limiting value such as the required circumferential resistance transmitted, transmission belt will skid on belt wheel.
Power in belt is measured by rack-mount pressure sensor.Measured in this V belt translation characteristic parameter Before teaching demonstration device work, the position of driven pulley is adjusted, thus it is possible to vary the initial tension of belt.
(2) this V belt translation characteristic parameter MEASUREMENT TEACHING apparatus for demonstrating checking Euler's formula is utilized
When just starting to skid, tight side tension F1With slack list pulling force F2Between following relationship (rotating speed is smaller) be present, i.e.,
The bottom (e ≈ 2.718) of e---natural logrithm in formula;
F---band coefficient of friction intermarginal with wheel;
Cornerite (rad) of a---transmission belt on belt wheel.
Above formula is the Euler's formula of flexible body friction.
Using the pulling force measured, it can verify that above formula is set up.
(3) this V belt translation characteristic parameter MEASUREMENT TEACHING apparatus for demonstrating observation Elastic Sliding, calculating sliding ratio and observation are utilized The principle and process of skidding
Because band is elastomer, elongation during stress difference, make band that Elastic Sliding phenomenon occur in transmission process. Because frictional force makes the both sides of band that different degrees of stretcher strain occur in V belt translation, since frictional force is that this kind of transmission must Need, thus Elastic Sliding is inevitable.
Consequence is caused by Elastic Sliding:The peripheral speed of driven pulley is less than the peripheral speed of driving wheel, generates speed Loss;Transmission efficiency is reduced, increases the abrasion of band, the life-span of shortened belt;Make band temperature rise.
The mode of measurement sliding ratio has two kinds:Manual measurement and formula calculate.
A. manual measurement
When the timing of pretightning force one of this apparatus for demonstrating, the angular displacement of each circle hysteresis driving wheel of driven pulley is exactly certain value, Setting driving wheel, which is turn-taked, counts (circle of setting rotation 10), and the angular displacement that driven pulley lags is converted into corresponding sliding ratio and marked successively Dial on the driven wheel, when driving wheel stops operating, the signified numerical value of pointer is current sliding ratio.
B. formula calculates
Sliding ratio ε is expressed as
Wherein
D in formulad1,dd2--- the datum diameter of driving wheel and driven pulley, mm;n1, n2--- turn of driving wheel and driven pulley Speed, r/min.
The rotating speed of driving wheel and driven pulley can be measured by the photoelectric speed sensor on two axles, press Sliding ratio is calculated according to formula.
When the service load increase of transmission, it is desirable to which effective pull F also increases therewith.When F reaches certain numerical value, band with Frictional force F of the small pulley on whole contact arcfIt is up to limiting value.If service load exceedes this limiting value, band will be along whole Individual contact arc slides, and this phenomenon is referred to as skidding.Because the cornerite in big belt wheel is always greater than the cornerite on small pulley, so beating Cunning always starts on small pulley.
Increase load always, belt slippage phenomenon can be observed.Skidding is due to the caused band of overload on belt wheel Slide comprehensively, skid and aggravate the abrasion for making band, secondary speed drastically reduces, or even makes transmission failure, and such case should Avoid.
(4) this V belt translation characteristic parameter MEASUREMENT TEACHING apparatus for demonstrating error analysis
Due to the friction between belt and third wheel, make the pulling force of third wheel both sides belt unequal, according to the equilibrium relation of power There is certain error in measured edge slack pulling force, error analysis calculation process is as follows:
In theory:F10=F20=F0,
Actually:F1+F2=2F0 F1/F2=e=1.37 (f=0.3, α=π/3)
It can obtain:F1=1.161F0, F2=0.848F0
Belt is made a concerted effort:
The angle of F and vertical direction with joint efforts:
The actually measured pressure of sensor:F0'=Fcos α=1.047F0× cos15.5 °=1.00892F0
Finally calculate error:
Result of calculation proves that this design is feasible.
It is of the invention during V belt translation is realized on the basis of ensureing to be easy to carry in above-mentioned embodiment The measurement and checking of multiple parameters and characteristic, intuitive and convenient, are easily understood.Just drawing is also wherein realized by the design of structure Power, tight side tension, the ordinary surveying of slack list pulling force.Pretightning force, tight side tension, slack list pulling force and sliding ratio can intuitively be observed Etc. various features parameter.And can easily calculates effective circle force, intuitively sees Elastic Sliding, skidding, slack list pilled-in selvedge position Put and verify Euler's formula.So, teaching task can be completed, student can be allowed preferably to learn relevant knowledge, improves classroom Efficiency.

Claims (4)

1. a kind of V belt translation characteristic parameter teaching mode demonstrator, including driving wheel, driven pulley, support, belt, pressure sensing Device, velocity sensor and display instrument;It is characterized in that:
The driving wheel(1)With the driven pulley(13)It is that horizontal symmetrical is set, and in driving wheel(1)With driven pulley(13)It is horizontal Third wheel on belt is provided with symmetrically arranged center line(5)With third wheel under belt(9), make belt(2)Pass through driving wheel(1), from Driving wheel(13), third wheel on belt(5)With third wheel under belt(9)
Tape handler is formed, and makes belt third wheel on belt(5)With third wheel under belt(9)Angle during position is 80 °~ 160°;
The pressure sensor is third wheel pressure sensor on belt(6), third wheel pressure sensor under belt(10)And driven pulley Pressure sensor(12), it is respectively arranged on belt and crosses wheel support(4), belt descended wheel support(8)With driven wheel support(11) On;
The velocity sensor is driven pulley photoelectric speed sensor(15)With driving wheel photoelectric speed sensor(19), and It is respectively arranged at driven pulley(13)Rotating shaft on and driving wheel(1)Rotating shaft on;
The display instrument is third wheel pressure sensor display instrument on belt(3), driven pulley pressure sensor display instrument(7), belt Lower third wheel pressure sensor display instrument(17), driven pulley velocity sensor display instrument(16)With driving wheel velocity sensor display instrument (18), and it is connected to third wheel pressure sensor on belt(6), driven pulley pressure sensor(12), third wheel pressure under belt Sensor(10), driven pulley photoelectric speed sensor(15)With driving wheel photoelectric speed sensor(19), and by display instrument It is arranged at display table top.
2. V belt translation characteristic parameter teaching mode demonstrator as claimed in claim 1, it is characterized in that:The belt is on belt Third wheel(5)With third wheel under belt(9)Angle during position is further 120 °.
3. V belt translation characteristic parameter teaching mode demonstrator as claimed in claim 1, it is characterized in that:It is described
Driving wheel(1)It is to be driven by frequency control motor.
4. V belt translation characteristic parameter teaching mode demonstrator as claimed in claim 1, it is characterized in that:It is described
Driven wheel support(11)Corresponding casing(14)Both sides are provided with baffle plate, and offer on the baffle plate and operated with belt The opposite extension chute in direction carries out pretension to belt.
CN201510469354.5A 2015-08-03 2015-08-03 V belt translation characteristic parameter teaching mode demonstrator Expired - Fee Related CN104992612B (en)

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106128279A (en) * 2016-08-31 2016-11-16 中国人民解放军空军工程大学 A kind of machine driving demonstration teaching aid
CN108153949B (en) * 2017-12-14 2021-07-23 新疆金风科技股份有限公司 Stress calculation method and device for transmission belt in driving assembly with asymmetric structure
CN109118932B (en) * 2018-08-31 2021-02-05 许彩笛 Automatic speed regulator for wrinkled chain and demonstration device thereof
CN111627311B (en) * 2020-06-30 2022-01-11 温州职业技术学院 Transmission demonstration device for teaching of mechanical courses

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CN203745353U (en) * 2013-12-27 2014-07-30 上海三电贝洱汽车空调有限公司 Belt pulley friction detection device
CN204130054U (en) * 2014-08-07 2015-01-28 华中农业大学 A kind of belt wheel transmission process Analaysis on Elastic Slide phenomenon teaching demonstration apparatus

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Publication number Priority date Publication date Assignee Title
US5885080A (en) * 1997-12-10 1999-03-23 Letovsky; Howard Mechanically actuated motion platform
CN101303814A (en) * 2008-06-24 2008-11-12 上海大学 Mining conveying belt simulator
CN101364354A (en) * 2008-09-28 2009-02-11 中北大学 Mechanics synthetic experiment bench for rotary member
CN201307368Y (en) * 2008-12-01 2009-09-09 华南理工大学 Multi-type belt transmission experiment platform
CN102980707A (en) * 2012-12-22 2013-03-20 山东大学 Experiment table for belt driven effective tension testing
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Inventor after: Ren Jiajun

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