Vehicle bend balance test device and experimental technique
Technical field
The present invention relates to a kind of physics facility, more particularly, to a kind of experimental provision for vehicle bend equilibrium appearance
And experimental technique.
Background technology
During the vehicle turn such as train, automobile, due to the presence of inertia, vehicle remains power forward, wants to allow it
Turn to it is necessary to provide one " centripetal force ", otherwise more overturn accident will occur outside errant.By the track of corner or road surface
It is designed to high outside and low outside, has certain gradient, for offsetting " centrifugal force " during turning.As long as so solving turn inside diameter
Circuit radius, Negotiation speed, the correlation of this three of pavement-height, it is ensured that vehicle safety passes through bend.As Fig. 1 institute
Show, the centripetal force needed for vehicle body to be provided by the f that makes a concerted effort of road surface holding power n and vehicle body gravity g.If the radius of turn of car is r, should
The place a height of h in road surface, the angle of inclination on corner road surface is θ, then have:
I.e.
Turn inside diameter circuit radius can be obtained, Negotiation speed, the relation of pavement-height three are
In formula, m is vehicle mass, and g is acceleration of gravity, and ω is the angular speed of turn inside diameter.
Vehicle by the relation between speed v during bend and radius of turn and the angle of inclination on road surface is
H=rtg θ (4)
V=r ω (5)
It can be seen that when vehicle is turned with certain angular velocity omega, h be proportional to radius of turn r square, i.e. road surface or track
Cross section should parabolically shape.When vehicle turn radius, inclination angle are certain, vehicle is run with the speed of r ω, car
It is balance.The vehicle bend balance demonstration device of the present invention and method demonstrate this rule.By analytical calculation
And experimental verification, can be both the safety of engineering design, vehicle operation as important experimental provision in physics teaching again
Speed designs etc. provide foundation.
Content of the invention
It is an object of the invention to provide a kind of vehicle bend balance test device and experimental technique, in order to demonstrate vehicle
Centripetal force and the equilibrium relation moved.
The purpose of the present invention is achieved through the following technical solutions:
Vehicle bend balance test device, comprising: rotating disk 1, parabola plate 2, car modal 3, support batten 4, chute 5,
Shaft hole 6, light electric switch 7, light barrier 8, base 9;
Described parabola plate 2, upper surface is the pass according to the radius of rotating disk 1 and the angular speed of rotation and pavement-height
It is the parabola calculating, be both horizontally and vertically respectively provided with rule, parabola top is provided with chute 5, car modal 3
Bottom cylindrical projections embed inside chute 5, parabola plate 2 lower surface is fixing on the turntable 1, rotates with rotating disk 1.
Described car modal 3, lower limb is the face of cylinder, after both sides project cylindrical embedded chute 5 inside, can throw
Freely rotatable on thing line plate 2.
Described support batten 4 bottom is T-shaped, in the chute 5 on embedded parabola plate 2, for supporting car modal
3, car modal 3 can be stood in any position on chute.
When described vehicle bend balance test device uses, also need separately standby
One, direct current generator, its parameter is:
Voltage: direct current 48v~300v, 800~5000 revs/min of rotating speed, 2200 grams of weight, power 200w.
The a length of 146mm of motor, a diameter of 77mm, the diameter of axle 8mm of motor, a length of 14mm of projecting shaft.
DC speed regulator one, its parameter is:
Model tdgc-0.5, power 500w, speed adjustable range is started from scratch, until instrument maximum (top) speed.
Qs-r type moment of inertia testing apparatus one, and light electric switch 7 is supporting, to measure the rotating speed of rotating disk 1.
The qs-r type moment of inertia testing apparatus course of work is to set weight first on qs-r type moment of inertia testing apparatus panel
Again count, the periodicity that is, rotating disk 1 rotates, after pressing " execution " key, when light barrier 8 first time on rotating disk 1 passing through light electric switch 7
Start timing, " timing " lamp of state instruction is lighted simultaneously.With the rotation of rotating disk 1, instrument starts continuous timing, until the cycle
When number is equal to setting value, stop timing, timing indicator lamp extinguishes therewith, now instrument show set by rotating disk 1 rotation cycle
Number total time used, and then the rotating speed of rotating disk 1 can be obtained.
Described base 9 is internal to install upright motor, and motor shaft embeds in the shaft hole 6 of rotating disk 1, and single unit system is risen
Supporting role, and drive rotating disk 1 to rotate.
The embodiment of the present invention additionally provides the experimental technique of vehicle bend balance test device, comprising:
Using above-mentioned experimental provision;
Using the device of vehicle bend balance test shown in Fig. 2, first by the chute 5 supporting batten 4 to be placed on parabola plate 2
Interior, car modal 3 is supported, so that car modal 3 is stood on the inclined-plane of parabola plate 2 and incline to the center of circle direction of rotating disk 1
Tiltedly.After switching on power, motor drives rotating disk 1 to rotate, and vehicle bend balance test device is rotated with certain angular speed, works as rotating speed
When reaching certain value, car modal 3 top is flared out under the action of the centrifugal force, supports batten 4 to depart from support and automatically arrives down, and
Car modal 3 but can keep geo-stationary with parabola plate 4, that is, stand on the inclined surface of parabola plate 4, with rotating disk 1 one
Rise and rotate, just as the shape of stunt cycling, illustrate under the fixing radius of turn of vehicle here and rotating speed, when there is certain inclination on road surface
During angle, the centrifugal force cancels that produced due to inclination of centrifugal force that Ackermann steer angle produces, it is safety that vehicle travels
, thus demonstrating vehicle turn radius, inclination angle and car speed triadic relation.
As seen from the above technical solution provided by the invention, vehicle bend balance test provided in an embodiment of the present invention
Device, by analytical calculation and experiment, can verify that vehicle turn radius, inclination angle and running velocity three are closed
System, both can as important experimental provision in physics teaching, again can for engineering design, vehicle safety run etc. provide according to
According to.Experimentation is excellent, convenient to operation, and success rate is high.
Brief description
In order to be illustrated more clearly that the technical scheme of the embodiment of the present invention, below will be to required use in embodiment description
Accompanying drawing be briefly described it should be apparent that, drawings in the following description are only some embodiments of the present invention, for this
For the those of ordinary skill in field, on the premise of not paying creative work, other can also be obtained according to these accompanying drawings
Accompanying drawing.
Fig. 1 is vehicle bend balance test principle of device schematic diagram provided in an embodiment of the present invention.
Fig. 2 is the structural representation of vehicle bend balance test device provided in an embodiment of the present invention.
Fig. 3 is the enlarged section of chute 4 in vehicle bend balance test device provided in an embodiment of the present invention.
Fig. 4 is the schematic enlarged-scale view of car modal 3 in vehicle bend balance test device provided in an embodiment of the present invention.
Specific embodiment
With reference to the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, complete
Ground description is it is clear that described embodiment is only a part of embodiment of the present invention, rather than whole embodiments.It is based on
Embodiments of the invention, the every other reality that those of ordinary skill in the art are obtained under the premise of not making creative work
Apply example, broadly fall into protection scope of the present invention.
Below in conjunction with accompanying drawing, the embodiment of the present invention is described in further detail.
Vehicle bend balance test device, comprising: rotating disk 1, parabola plate 2, car modal 3, support batten 4, chute 5,
Shaft hole 6, light electric switch 7, light barrier 8, base 9;
Described parabola plate 2, upper surface is angular velocity omega one timing when rotating disk 1 rotation, is calculated by formula (3)
Parabola, in the present embodiment, take ω to be 6s-1.Both horizontally and vertically it is respectively provided with rule in parabola plate 2, in order to true
Determine the coordinate value of car modal 3 present position, parabola top is provided with the chute 5 that depth is about 5 millimeters, the bottom of car modal 3
Portion's cylindrical projections embed inside chute 5, and parabola plate 2 is fixing on the turntable 1, rotates with rotating disk 1.
In the present embodiment, the radius of rotating disk 1 is 20 centimetres.
Described car modal 3 is high 12 centimetres, wide 6 centimetres, 0.5 centimetre of thickness, and lower limb carries cylindrical projections, embeds and slide
In groove 4, because car modal 3 lower limb is the face of cylinder, can be freely rotatable on parabola plate 2.
Described support batten 4 bottom is T-shaped, in embedded chute 5, for supporting car modal 3.
When with supporting batten 4 that car modal 3 gets up, by supporting batten 4 and car modal 3 bottom and chute 5
Frictional force it is ensured that stable for car modal 3 is stood on the inclined-plane of parabola plate 2.
This experimental provision can carry out the experiment of following two aspects.
1st, h and r, ω triadic relation in checking formula (3)
Adjust experimental provision first so that rotating disk 1 smooth rotation, the position adjusting light electric switch 7 is so that light barrier 8 passes through
When, qs-r type moment of inertia testing apparatus can correctly record rotation period, to calculate the rotating speed of rotating disk 1.
(1) calculate when ω is for determination value by formula (3), change r value and calculate corresponding h value for 3 times, obtain three groups pairs
H, r value answered, and with this numerical value as coordinate, determine car modal 3 on parabola plate 2 by the rule on parabola plate 2
Position, with support batten 4 by car modal 3 support stand on parabola plate 2, close power switch, rotating disk 1 start rotate.
(2) adjust DC speed regulator, so that the rotating speed of rotating disk 1 is steadily increased.
When car modal 3 just outward-dipping simultaneously " fly " to go out when, stop adjust speed regulator acceleration operation, keep rotating disk
1 rotating speed is constant.
(3) measure the now rotating speed of rotating disk 1 recording with qs-r type moment of inertia testing apparatus, measurement adjusts speed governing after finishing
Device, makes rotating disk stop operating.
(4) press the calculated value of step (1), change position on parabola plate 2 for the car modal 3, repeat (2), the step of (3)
Suddenly, complete the measurement of three groups of corresponding datas.
Three times measurement in can see, when rotating disk 1 rotating speed increase, car modal 3 just outward-dipping simultaneously " fly, go out
When going, its angular velocity omega value is identical, and identical with the theoretical value that formula (3) calculates, and may certify that formula (3) is set up.
2nd, checking vehicle turn radius, Negotiation speed, pavement-height triadic relation
(1) with supporting batten 4 to support car modal 3, and car modal 3 is made to tilt to the center of circle direction of rotating disk 1,
Closure switch make vehicle bend balance test device rotate with certain angular speed.When rotating speed reaches certain value, in centrifugal force
In the presence of, car modal 3 top is flared out, and supports batten 4 to depart from support and automatically arrives down, and car modal 3 can and be thrown
Thing line plate 2 keeps geo-stationary, that is, stand on the inclined surface of parabola plate 2, rotate with rotating disk 1, just as driving is walked
The shape of wall.Illustrate under the fixing radius of turn of vehicle here and rotating speed, when there is certain angle of inclination on road surface, vehicle travels is
Safety.
(2) change the rotating speed of rotating disk 1, the balance of car modal 3 will be destroyed.
In the present embodiment, when the rotating speed of rotating disk 1 is 50 revs/min, car modal 3 can rotating disk 1 relatively stand still;When turn
When speed is less than 40 revs/min, the center of circle direction of car modal 3 Retrogradation rotating disc 1;When rotating speed is higher than 80 revs/min, car modal
The centrifugation force direction of 3 Retrogradation rotating discs 1.Thus illustrate, if car modal 3 is regarded as vehicle, vehicle passes through such road
During face, rotating speed is maintained at 40-80 rev/min, and that is, travel speed is pressed v=r ω and calculated, if the radius of rotating disk 1 is 0.2 meter, then goes
Sailing speed is thousand ms/h of 3-6, and it is safest that vehicle travels.Also, when such bend, safety traffic is fast for explanation vehicle
Degree is a speed interval, and too high or too low is all unsafe.
The present embodiment is generalized in Pavement Design, and such as certain road surface radius of turn is 10 meters.When inclination degree is 30 degree of angles
When, calculate by formula (3), (4), (5), the most stable Vehicle Speed is about 24,000 ms/h.Actual vehicle is two-wheeled
Parallel, center of gravity is located between two-wheeled so that safe velocity increases, and in view of other concrete conditions, general pony car
When bend, speed limit is less than 30,000 ms/h.In sum, when vehicle turn radius, inclination angle one timing, car
The current speed interval having a safety, when turning speed exceedes setting, will occur overturn accident.
Material needed for this instrumentation easily takes, and structure is simple, easy to manufacture, and experimental implementation is easy, and visibility is big, intuitively
Property strong, vivid, can intuitively show centrifugal motion phenomenon produced by Ackermann steer angle and centripetal motion artifacts, be used for
Physical Experiment can objectively make student profoundly be appreciated and understood by the equilibrium condition of Ackermann steer angle, can transport for vehicle safety again
The speed designs of row provide foundation.
The above, the only present invention preferably specific embodiment, but protection scope of the present invention is not limited thereto,
Any those familiar with the art the invention discloses technical scope in, the change or replacement that can readily occur in,
All should be included within the scope of the present invention.Therefore, protection scope of the present invention should be with the protection model of claims
Enclose and be defined.