CN212724433U - Demonstration device capable of adjusting ring vibration state - Google Patents

Demonstration device capable of adjusting ring vibration state Download PDF

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CN212724433U
CN212724433U CN202022000688.7U CN202022000688U CN212724433U CN 212724433 U CN212724433 U CN 212724433U CN 202022000688 U CN202022000688 U CN 202022000688U CN 212724433 U CN212724433 U CN 212724433U
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ring
adjustable
axis
plane
demonstration device
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甘文赵
何磊
何勇
方灿
王宇俊
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Southwest University
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Southwest University
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Abstract

The utility model belongs to motion state presentation device field relates to a presentation device of adjustable ring vibration state, including rigid ring, fixed setting at the inside mount that just passes this rigid ring center of rigid ring, the mount with be equipped with the axis of rotation on the central assorted position of rigid ring, be connected with in the axis of rotation and be used for driving its pivoted driver, be equipped with in the axis of rotation and be used for changing centrobaric pendulum rod, drive the pendulum rod through the driver and rotate, change the device focus. The utility model provides a small light in weight, the holding time that the ring shakes is long, the ring shake state presentation device that the contained angle size of anchor ring and ground and be convenient for observe when can effectively adjusting the ring vibration motion.

Description

Demonstration device capable of adjusting ring vibration state
Technical Field
The utility model belongs to motion state presentation device field relates to a presentation device of adjustable ring vibration state.
Background
The ring vibration motion state means that a rigid ring rotates around a central shaft which is vertical to the ring surface and passes through the ring center under the action of external force, the central shaft also rotates around a shaft which is vertical to the ground, and the projection point of the shaft on the ground is positioned in the projection curve of the rigid ring on the ground. The ring-vibration movement is a common physical phenomenon, and is often used as a key point for teaching and discussing when explaining the movement state of the iron ring falling to the ground.
The ring oscillation state is short in duration in the natural falling of the iron ring, so that observation and demonstration are inconvenient. The main demonstration method of the ring vibration state at present is to lose the hoop to demonstrate by people, does not have the ability of maintaining the ring vibration motion state for a long time, is unfavorable for the observation of this kind of motion state. Meanwhile, the method has the problems of poor stability, low demonstration success rate, short observation time and the like.
SUMMERY OF THE UTILITY MODEL
In view of this, an object of the present invention is to provide a demonstration apparatus for adjustable ring oscillation state, which can be driven by itself, has a long ring oscillation maintaining time, and can adjust the size of the included angle between the ring surface and the ground during ring oscillation movement, thereby facilitating observation.
In order to achieve the above purpose, the utility model provides a following technical scheme:
the utility model provides a presentation device of adjustable ring vibration state, includes rigid ring, fixed setting at the inside mount that just passes this rigid ring center of rigid ring, the mount with be equipped with the axis of rotation on the central assorted position of rigid ring, be connected with in the axis of rotation and be used for driving its pivoted driver, be equipped with in the axis of rotation and be used for changing centrobaric pendulum rod, drive the pendulum rod through the driver and rotate, change the device focus.
Optionally, a detachable balancing weight is further arranged on the swing rod.
Optionally, the fixed position of the counterweight block on the swing rod is adjustable.
Optionally, the weight block is provided with a plurality of weight blocks.
Optionally, the fixing frame is in a straight shape, a cross shape or a herringbone shape.
Optionally, the swing rod is in a straight shape or a circular shape.
Optionally, the rotating shaft is fixed on the fixing frame through a flange.
Optionally, a plane of one ring surface of the rigid ring is defined as a first plane, and a plane passing through the center of the rigid ring and parallel to the first plane is defined as a second plane; the holder is arranged in a second plane.
Optionally, a rotation plane of the swing rod is parallel to the first plane.
Optionally, the swing rod is annular, a support rod for mounting a counterweight block is arranged in the swing rod, the support rod is arranged in a herringbone manner, and the cross portion of the support rod is located at the center of the swing rod.
The beneficial effects of the utility model reside in that:
the utility model provides a small light in weight, the ring oscillation hold time is long, the ring face and the contained angle size on ground and the presentation device design of being convenient for observe when can effectively adjusting the ring oscillation motion. The main technical problems to be solved are the stability of the motion state of the ring oscillation, the adjustment of the included angle between the ring surface and the ground during the ring oscillation and the like.
Additional advantages, objects, and features of the invention will be set forth in part in the description which follows and in part will become apparent to those having ordinary skill in the art upon examination of the following or may be learned from practice of the invention. The objectives and other advantages of the invention may be realized and attained by the means of the instrumentalities and/or combinations particularly pointed out in the appended claims.
Drawings
For the purposes of promoting a better understanding of the objects, features and advantages of the invention, reference will now be made to the following detailed description taken in conjunction with the accompanying drawings in which:
FIG. 1 is a schematic view of a ring oscillation movement;
fig. 2 is a schematic structural diagram of embodiment 1 of the present invention;
FIG. 3 is a schematic view of an included angle α;
FIG. 4 is a schematic view of the apparatus under stress;
FIG. 5 is a schematic view of the adjustment principle;
FIG. 6 is a schematic view showing a state of motion in embodiment 1;
fig. 7 is a schematic view of the motion state of embodiment 2.
Detailed Description
The following description of the embodiments of the present invention is provided for illustrative purposes, and other advantages and effects of the present invention will be readily apparent to those skilled in the art from the disclosure herein. The present invention can also be implemented or applied through other different specific embodiments, and various details in the present specification can be modified or changed based on different viewpoints and applications without departing from the spirit of the present invention. It should be noted that the drawings provided in the following embodiments are only for illustrating the basic idea of the present invention, and the features in the following embodiments and examples may be combined with each other without conflict.
Wherein the showings are for the purpose of illustrating the invention only and not for the purpose of limiting the same, and in which there is shown by way of illustration only and not in any way limiting the scope of the invention; for a better understanding of the embodiments of the present invention, some parts of the drawings may be omitted, enlarged or reduced, and do not represent the size of an actual product; it will be understood by those skilled in the art that certain well-known structures in the drawings and descriptions thereof may be omitted.
The same or similar reference numerals in the drawings of the embodiments of the present invention correspond to the same or similar parts; in the description of the present invention, it should be understood that if there are terms such as "upper", "lower", "left", "right", "front", "back", etc., indicating directions or positional relationships based on the directions or positional relationships shown in the drawings, it is only for convenience of description and simplification of description, but it is not intended to indicate or imply that the device or element referred to must have a specific direction, be constructed and operated in a specific direction, and therefore, the terms describing the positional relationships in the drawings are only used for illustrative purposes and are not to be construed as limiting the present invention, and those skilled in the art can understand the specific meanings of the terms according to specific situations.
Referring to fig. 1-7, the reference numbers in the figures refer to the following elements: the device comprises a fixed frame 1, a driver 2, a rigid ring 3, a flange plate 4, a balancing weight 5 and a swing rod 6.
The utility model discloses a presentation device of adjustable ring vibration state, the device mainly comprises rigidity ring 3, mount 1, ring flange 4, driver 2, pendulum rod 6 and balancing weight 5. The fixing frame 1 can be in a straight line shape, a herringbone shape or a cross shape, and the fixing frame 1 is arranged on the inner side of the rigid ring 3 and passes through the ring center for fixing the flange plate 4; one end of the flange plate 4 is arranged on the fixed frame 1 and positioned at the position of the ring center, and the other end of the flange plate is connected with the shaft of the driver 2; the driver 2 is arranged at one end of the swing rod 6, and the driver 2 provides driving force by a motor or other power devices to drive the swing rod 6 to rotate; the swing rod 6 can be in a straight line shape, a herringbone shape or an annular shape, and under the action of the driver 2, the swing rod 6 can rotate around a central shaft which is perpendicular to the annular surface and passes through the annular center to change the gravity center of the device; the balancing weight 5 is fixed on the swing rod 6, and the gravity center of the annular device is changed through the rotation of the swing rod 6.
The ring surface of the device is vertical to the ground to stand, when the driver 2 does not work, the connecting line of the ring center and the center of mass of the balancing weight 5 is vertical to the ground due to the influence of gravity, as shown in figure 2, at the moment, the swing rod 6 and the ground form an angle of 90 degrees.
Analysis of the process from start-up to stabilization of the device:
when the device is started, the device is inclined by hand, an initial speed for twisting the ring surface around a connecting line between the highest point and the lowest point of the ring surface from the ground is given, at the moment, the swing rod 6 moves to a proper position as shown in figure 3, a proper included angle alpha is always kept between the swing rod and the connecting line between the ring center and the ring contact point, and the gravity center of the whole device is obviously changed because the swing rod 6 is fixedly provided with the balancing weight 5. At the moment, the stress condition of the device is shown in fig. 4, the gravity center of the device is near the balancing weight 5, the gravity is G, the supporting force on the ground is Fb, the friction force is Fa, the device can rotate due to the fact that the gravity G and the supporting force Fb are not collinear in the large reverse direction, the device rotates and moves forwards, the rotating direction is shown as V in fig. 4, the device is inclined at the moment, the friction force provides centripetal force, and the device enters a ring oscillation state. Because of friction loss, the potential energy of the device is reduced, the included angle between the ring surface and the ground is reduced, the time for the mass point on the ring to contact the ground twice continuously is shortened, and at the moment, the swing rod 6 is driven by the driver 2, so that the included angle alpha is properly increased to compensate the energy loss. Within a certain angle range, even under the condition of slight external interference, the included angle alpha can be dynamically adjusted through the driver 2, potential energy is increased to compensate energy loss, and the included angle between the ring surface and the ground can be kept stable and unchanged.
Principle analysis of ring oscillation state regulation:
as shown in fig. 5, the Z axis is the axis perpendicular to the ground when the device oscillates, the S axis is the central axis perpendicular to the ring surface and passing through the center of the ring, the solid line ring is the device, the dashed line ring is the track passing through the device when the device axis of rotation passes through the plane, and the θ angle is the angle between the central axis S and the axis Z perpendicular to the ground. Setting an included angle between a central axis S of the device and a Z axis at the time t as theta, an angular velocity as omega, a rotational inertia as I and a projection of angular momentum on the Z axis as Lcos theta; at the time t + dt, due to the action of the gravity moment M, the device will tilt down, so that the included angle between the S axis and the Z axis becomes θ + d θ, the projection of the angular momentum on the Z axis becomes Lcos (θ + d θ), and the increment of the angular momentum in the Z axis direction is:
dLz=Lcos(θ+dθ)-L cosθ=-L sinθdθ=-Iωsinθdθ
however, M has no component in the Z-axis direction, and therefore, the angular momentum of the device must be conserved in the Z-axis direction, which means that the device must acquire an angular momentum I ω sin θ d θ in the positive Z-axis direction, so that the central axis S of the device rotates counterclockwise along the Z-axis, generating ringing.
Since the value of the angular velocity ω of the device about the S axis is much greater than the angular velocity about the Z axis, the total angular momentum of the device is approximately equal to the sum of the angular momentum of the pendulum rod 6 plus the rotational angular momentum of the device about the S axis, and can be represented by L. As shown in fig. 6, when the pendulum 6 of the device rotates through a slight angle d Φ, the magnitude of the increment of the angular momentum of the device (assuming θ is constant) dL ═ L sin θ d ═ I ω sin θ d Φ, and it is noted that the differential form dL ═ M of the theorem of angular momentum2dt(M2Moment of external force), the angular velocity of the central axis S rotating around the Z-axis, i.e. the angular velocity of the device ring oscillation, can be obtained
Figure BDA0002680729000000051
The angle between the ring surface and the ground
Figure BDA0002680729000000052
The formula shows that the included angle theta between the ring surface and the ground and the moment M of the external force applied to the device are within 0-90 DEG2Is in direct proportion. The device utilizes the principle, the included angle alpha is in direct proportion to the magnitude of the torque of the combined external force within a certain range, and the driver 2 is used for adjusting the included angle alpha to change the torque of the combined external force applied to the device, so that the ring vibration state of the device is changed. Within a certain range (such as within the range of 30-80 degrees), the included angle alpha is properly reduced, so that the included angle between the ring surface and the ground can be reduced; within a certain range (such as 30-80 degrees), the included angle between the ring surface and the ground can be increased by properly increasing the included angle alpha.
Example 1
Referring to fig. 6, the device of this example is composed of a rigid ring 3, a linear holder 1, a flange 4, a driver 2, a linear pendulum 6, and two weights 5. The driver 2 is driven by a motor, and the rigid ring 3, the fixed frame 1 and the swing rod 6 are all made of aluminum alloy materials.
When the device is started, the device is inclined by hand, an initial speed for twisting the ring surface of the device around the connecting line of the highest point and the lowest point of the ring surface is given, at the moment, the swing rod 6 can move to a proper position, as shown in figure 6, when the included angle alpha is lower than the set threshold lower limit, the driver 2 is started, and the linear swing rod 6 rotates, so that the device enters a ring vibration state and the included angle between the ring surface and the ground is kept unchanged.
When the device is in a ring vibration state, the included angle alpha is properly reduced through the driver 2 in a certain range, so that the included angle between the ring surface and the ground can be reduced; within a certain range, the included angle alpha can be increased by properly increasing the included angle alpha of the driver 2, so that the included angle between the ring surface and the ground can be increased.
Example 2
Referring to fig. 7, the device of this example is composed of a rigid ring 3, a linear holder 1, a flange 4, a driver 2, an annular rocker 6 and two counterweights 5. The driver 2 is driven by a motor, and the rigid ring 3, the fixed frame 1 and the swing rod 6 are all made of aluminum alloy materials.
When the device is started, the device is inclined by hand, an initial speed for twisting the ring surface of the device around the connecting line of the highest point and the lowest point of the ring surface is given, at the moment, the annular swing rod 6 moves to a proper position, as shown in figure 4, when the included angle alpha is lower than the lower limit of the set threshold value, the driver 2 is started, and the annular swing rod 6 rotates, so that the device enters a ring vibration state and the included angle between the ring surface and the ground is kept unchanged.
When the device is in a ring vibration state, the included angle alpha is properly reduced through the driver 2 in a certain range, so that the included angle between the ring surface and the ground can be reduced; within a certain range, the included angle alpha can be increased by properly increasing the included angle alpha of the driver 2, so that the included angle between the ring surface and the ground can be increased.
Finally, the above embodiments are only used for illustrating the technical solutions of the present invention and not for limiting, and although the present invention has been described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications or equivalent substitutions may be made to the technical solutions of the present invention without departing from the spirit and scope of the technical solutions, and all of them should be covered by the scope of the claims of the present invention.

Claims (10)

1. The utility model provides a presentation device of adjustable ring vibration state, its characterized in that, includes the rigid ring, fixedly sets up the mount that just passes this rigid ring center inside the rigid ring, the mount with be equipped with the axis of rotation on the central assorted position of rigid ring, be connected with in the axis of rotation and be used for driving its pivoted driver, be equipped with the pendulum rod that is used for changing the focus in the axis of rotation, drive the pendulum rod through the driver and rotate, change device focus.
2. The adjustable ringing state demonstration device of claim 1 wherein said pendulum bar is further provided with a removable weight.
3. The adjustable ringing state demonstration device of claim 2 wherein said weight is adjustable in its fixed position on said pendulum.
4. The adjustable ringing state demonstration device as claimed in claim 2, wherein said weight member is provided in plurality.
5. The adjustable ringing state demonstration device of claim 1 wherein said mounting bracket is in the shape of a straight line, a cross or a chevron.
6. The adjustable ringing state demonstration device of claim 1 wherein said pendulum rod is in the shape of a straight line or a circular ring.
7. The adjustable ringing state demonstration device of claim 1 wherein said rotatable shaft is secured to said mounting bracket by a flange.
8. The adjustable ringing state demonstration apparatus of claim 1 wherein the plane defining one of the annular faces of the rigid ring is a first plane and the plane defining the center of the rigid ring and parallel to the first plane is a second plane; the holder is arranged in a second plane.
9. The adjustable ringing state demonstration device of claim 8 wherein the pivot plane of said pendulum is parallel to the first plane.
10. The adjustable ringing state demonstration device of claim 6 wherein said pendulum rod is in the shape of a circular ring, wherein said pendulum rod has a support rod for mounting a weight, said support rod is in the shape of a chevron, and the crossing portion of said support rod is located at the center of said pendulum rod.
CN202022000688.7U 2020-09-14 2020-09-14 Demonstration device capable of adjusting ring vibration state Active CN212724433U (en)

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