CN214583819U - Rigid body rotation inertia tester - Google Patents
Rigid body rotation inertia tester Download PDFInfo
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- CN214583819U CN214583819U CN202120242639.6U CN202120242639U CN214583819U CN 214583819 U CN214583819 U CN 214583819U CN 202120242639 U CN202120242639 U CN 202120242639U CN 214583819 U CN214583819 U CN 214583819U
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Abstract
The utility model discloses a rigid body rotation inertia tester, including the bed plate that the level was arranged, three-wire pendulum device is placed on the bed plate right side, and observing and controlling system is placed in the bed plate left side, and three-wire pendulum device includes cradling piece, entablature board, three cycloids, line length measurement and control device, lower balance, activity test platform, test platform elevating system, and the last photoelectric sensor and the angular positioning ware of arranging of activity test platform, measurement and control system and line length measurement and control device, test platform elevating system, photoelectric sensor link to each other. The cycloid length of the three-line pendulum can be set and adjusted according to requirements, the expansibility is strong, and the experimental efficiency is greatly improved through the control of the motor; additionally the utility model discloses the steerable lower balance of well angular positioning ware plays pendulum angle and is less than 6, at circular mirror surface of tray upper surface central authorities installation, marks out 9 equidistance concentric circles in lower balance quotation to ensure that the center of lower balance and surveyed rigid body pivot center coincidence make experimental data more accurate.
Description
Technical Field
The utility model relates to an experimental teaching device of college physics, theoretical mechanics course, in particular to rigid body rotation inertia tester.
Background
The moment of inertia is a measure of the inertia of a rigid body as it rotates about an axis of rotation. The role of the moment of inertia in rotational dynamics is equivalent to the mass in linear dynamics, and can be understood as the inertia of an object to rotational motion, which is used to establish the relationship between a plurality of physical quantities such as angular momentum, angular velocity, moment and angular acceleration.
The moment of inertia of a rigid body is related to the shape of the rigid body, the mass distribution and the position of the rotating shaft. The moment of inertia of a rigid body is often applied to the dynamic calculation of various motions, has important physical significance, and is an important parameter in the industrial fields of scientific experiments, engineering technology, aerospace, electric power, machinery, instruments and the like. If the rigid body has simple shape and uniform mass distribution, the rotational inertia of the rigid body around a specific rotating shaft can be directly calculated by a formula; for rigid bodies with complex shapes and uneven mass distribution, such as mechanical parts, motor rotors, fan blades, flywheels, firearm projectiles and the like, the rotational inertia is often difficult to calculate accurately and is usually determined by an experimental method, so that it is very important for students to master a precise and reliable rotational inertia test method.
The measurement of the moment of inertia is generally obtained by moving a rigid body in a certain form, using time or frequency as a measurement quantity, and then calculating by a theoretical formula. The specific measurement methods are many, and the common methods include a torsional vibration method, a compound pendulum method, a falling body method and the like. The three-line pendulum torsional vibration method is used for measuring the moment of inertia of an object through torsional motion, and has the characteristics of clear principle, intuitive operation and certain practical significance in theory and technology.
The traditional three-wire pendulum rigid body rotational inertia tester has low measurement precision, the data result is greatly influenced by the operation manipulation of a tester, and the test and control means are old and are disconnected from the modern test technology, so that students have low efficiency in experimental study, cannot know advanced test and control means, and are not favorable for culturing the comprehensive analysis capability and scientific exploration spirit of the students.
Disclosure of Invention
In order to solve the technical problem, the utility model provides a rigid body rotational inertia tester which is convenient to operate, has accurate data and is favorable for cultivating the comprehensive ability of students.
The utility model provides a technical scheme of above-mentioned problem is: a rigid body rotational inertia tester comprises a base plate which is horizontally arranged, wherein a three-wire pendulum device is arranged on the right side of the base plate, a measurement and control system is arranged on the left side of the base plate, the three-wire pendulum device comprises a support rod, an upper beam plate, three cycloids, a wire length measurement and control device, a lower pendulum plate, a movable test platform and a test platform lifting mechanism, the support rod is vertically fixed on the right side of the base plate, a lead screw support frame is vertically fixed in the middle of the base plate, the upper ends of the support rod and the lead screw support frame are horizontally connected with the upper beam plate, three first small holes are formed in the middle of the upper beam plate, three cycloids are vertically arranged in the three first small holes, the cycloids are hung and penetrate through three second small holes which are uniformly distributed on the lower pendulum plate and then are tied to the same wire knot, and the lower pendulum plate is drawn by the three cycloids and used for placing a tested rigid body; the upper beam plate is provided with a wire length measurement and control device, the lower ends of the support rods and the lead screw support frame are horizontally provided with a movable test platform, the movable test platform is positioned below the lower swinging plate, the movable test platform is provided with a photoelectric sensor for testing the swinging period of the lower swinging plate and an angle positioner for enabling the lower swinging plate to uniformly control swinging, and the movable test platform is controlled to be positioned and lifted through a test platform lifting mechanism and is guided by the support rods; the measurement and control system is connected with the wire length measurement and control device, the test platform lifting mechanism and the photoelectric sensor.
The rigid body rotational inertia tester comprises a test platform lifting mechanism, a rigid body rotational inertia test device and a test platform lifting mechanism, wherein the test platform lifting mechanism comprises a ball screw, a screw motor and a lifting nut, the ball screw is supported and fixed by a screw support frame, the upper end of the ball screw is connected with the screw motor fixedly arranged on an upper beam plate, and the lifting nut is arranged on the ball screw; the lead screw motor operates to drive the ball screw to rotate and drive the lifting nut to ascend or descend, and the lifting nut is fixedly connected with the movable testing platform through the platform supporting frame and ascends and descends together.
The rigid body rotation inertia tester comprises a cycloid length control motor, a winding mechanism and an ultrasonic sensor, wherein the cycloid length control motor is fixedly mounted on an upper crossbeam plate, the cycloid length control motor is connected with the winding mechanism mounted on the upper crossbeam plate, three cycloids are wound on the winding mechanism, and the ultrasonic sensor used for measuring the cycloid length is arranged on the lower surface of the upper crossbeam plate.
The rigid body rotation inertia tester comprises a tray, three support columns are uniformly distributed on the upper surface of the tray in the circumferential direction, a vertical connecting short shaft is fixed at the center of the lower surface of the tray and inserted into a round hole in the center of a movable test platform, so that the tray can horizontally rotate, an angle indicating mark is pasted on the test platform, and an angle pointer is arranged in the circumferential direction of the tray.
In the rigid body rotational inertia tester, the center of the upper surface of the tray is provided with the circular mirror surface for observing whether the center of the rotating shaft of the measured rigid body is superposed with the center of the lower swing disc.
In the rigid body rotation inertia tester, the indication range of the angle indication mark is-10 degrees to 10 degrees, and the division value is 1 degree.
The rigid body rotation inertia tester is characterized in that the lower swing disc is circular, the lower swing disc is made of transparent organic glass, the disc surface of the lower swing disc is marked with a circle center position by a cross mark, 9 equidistant concentric circles are marked outwards from the circle center, the diameter of the circles outwards from the circle center is 10-42 mm in sequence, and each circle is increased by 4 mm.
The rigid body rotational inertia tester comprises a central controller and a touch display screen, wherein the central controller is connected with a lead screw motor, a cycloid length control motor, an ultrasonic sensor and a photoelectric sensor, signals measured by the ultrasonic sensor and the photoelectric sensor are input to the central controller for processing and calculation, and the obtained measured rigid body rotational inertia is displayed on the touch display screen.
The beneficial effects of the utility model reside in that:
1) the utility model discloses adopt photoelectric sensor and ultrasonic sensor to test torsional vibration cycle and cycloid length respectively, make data acquisition real-time, direct-viewing through observing and controlling the system, the instrument is easy and simple to handle, and experimental data is reliable.
2) The utility model discloses the cycloid length of well three line pendulums can be set for, adjusted as required, has richened the experiment content, has improved the expansibility of experiment teaching. Because cycloid length has great influence to the inertia measuring error of surveyed rigid body, in experimental teaching, through using the utility model discloses, let the student go deep into research theory, design parameter by oneself, calculate and confirm reasonable cycloid length, be of value to training student's scientific literacy and exploring the spirit. The utility model discloses easily observe and control adjustment cycloid length, make things convenient for the student to analyze the relation between cycloid length and the inertia test error, not only let the student master inertia's theory and test method, more know scientific research's rigorously objective.
3) The utility model discloses the cycloid length of well three-wire pendulum does not adjust through the hand wheel in the instrument before, but passes through motor control, has improved experimental efficiency greatly, in limited experiment operating time, reduces the boring repetitive motion of student, lets them accomplish as much as possible experiment content, reserves more time and thinks for the student, summarizes, expands.
4) The utility model discloses in the well three-wire pendulum lower balance torsional initial angle should be less than 6, ensures that lower balance torsional vibration is simple harmonic vibration. In most of the existing instruments, an experimenter randomly twists a lower swinging disc by hands to generate torsional vibration, the initial angle degree can not be ensured to be less than 6 degrees at all, the initial angle of each experiment can not be ensured to be accurate and consistent, and the measurement error is large. The angle positioner is added, so that the influence of human factors can be reduced, the measurement error is reduced, the measurement precision of the rotational inertia is improved, the experiment is more objective and precise, and the accuracy and the repeatability of data are improved.
5) The definition of the moment of inertia refers to the measurement of the inertia of a rigid body when rotating around a shaft, and the magnitude of the value is closely related to the central position of the rotating shaft. The center of the lower swing disc of the tester must coincide with the center of the measured rigid body rotating shaft, most of the existing test instruments do not pay attention to the factor influencing the measurement accuracy, and how to ensure that the center of the lower swing disc coincides with the position of the measured rigid body rotating shaft is not considered. The utility model discloses in take two measures to guarantee down the center and the coincidence of pivot center of balance. The method comprises the steps that 9 equidistant concentric circles are clearly marked on the disc surface of the lower wobble plate from the circle center to the outside, the diameter of each circle is from 10mm to 42mm, each circle is increased by 4mm, for a mechanical part (such as an automobile engine valve rocker arm) with a round hole, the center of the round hole is the rotation center of the round hole, the round hole is coincided with or is uniformly close to a circle with a diameter close to that of the concentric circle mark on the disc surface, and then the center of the lower wobble plate is coincided with the center of a rotating shaft. The second method is that the center of the rotating shaft is marked on the measured rigid body, the mark is placed downwards and attached to the lower swing disc, the transparent lower swing disc is observed in a reflecting mode through the circular mirror surface arranged on the tray, whether the center of the lower swing disc is overlapped with the center of the rotating shaft on the measured rigid body or not is judged, and if the center of the lower swing disc is not overlapped with the center of the rotating shaft on the measured rigid body, the position of the measured rigid body is adjusted. Through the two measures, the experimental data are more accurate, and students can know the rigor and the standard of the scientific research process.
Drawings
Fig. 1 is a schematic structural diagram of the rigid body rotational inertia tester of the present invention.
Fig. 2 is a schematic view of the angle positioner of fig. 1.
Fig. 3 is a top view of the wobble plate of fig. 1.
Detailed Description
The present invention will be further described with reference to the accompanying drawings and examples.
As shown in figure 1, the rigid body rotational inertia tester comprises a base plate 1 which is horizontally arranged, a three-wire pendulum device is arranged on the right side of the base plate 1, a measurement and control system is arranged on the left side of the base plate 1, the three-wire pendulum device comprises a support rod 14, an upper beam plate 9, three cycloids 8 and a wire length measurement and control device, the device comprises a lower swing disc 15, a movable test platform 5 and a test platform lifting mechanism, wherein a support rod 14 is vertically fixed on the right side of a base plate 1, a lead screw support frame 7 is vertically fixed in the middle of the base plate 1, the upper ends of the support rod 14 and the lead screw support frame 7 are horizontally connected with an upper cross beam plate 9, three first small holes are formed in the middle of the upper cross beam plate 9, three cycloid lines 8 are vertically arranged in the three first small holes, the cycloid lines 8 are hung down and penetrate through three second small holes which are uniformly distributed on the circumference of the lower swing disc 15 to be tied to the same knot, and the lower swing disc 15 is pulled by the three cycloid lines 8 and used for placing a measured rigid body; a wire length measurement and control device is arranged at the upper beam plate 9, a movable testing platform 5 is horizontally arranged at the lower ends of a support rod 14 and a lead screw support frame 7, the movable testing platform 5 is positioned below a lower swinging disk 15, a photoelectric sensor 16 for testing the swinging period of the lower swinging disk 15 and an angle positioner 17 for enabling the lower swinging disk 15 to uniformly and controllably swing are arranged on the movable testing platform 5, and the position and the lifting of the movable testing platform 5 are controlled by a testing platform lifting mechanism and are guided by the support rod 14; the measurement and control system is connected with the wire length measurement and control device, the test platform lifting mechanism and the photoelectric sensor 16.
The test platform lifting mechanism comprises a ball screw 6, a screw motor 10 and a lifting nut 18, the ball screw 6 is supported and fixed by a screw support frame 7, the upper end of the ball screw 6 is connected with the screw motor 10 fixedly arranged on the upper cross beam plate 9, and the lifting nut 18 is arranged on the ball screw 6; the screw motor 10 operates to drive the ball screw 6 to rotate, the lifting nut 18 is driven to ascend or descend, and the lifting nut 18 is fixedly connected with the movable testing platform 5 through the platform supporting frame 4 and ascends and descends together.
The wire length measuring and controlling device comprises a cycloid length control motor 12, a winding mechanism 11 and an ultrasonic sensor 13, wherein the cycloid length control motor 12 is fixedly installed on the upper crossbeam plate 9, the cycloid length control motor 12 is connected with the winding mechanism 11 installed on the upper crossbeam plate 9, three cycloid wires 8 are wound on the winding mechanism 11, and the ultrasonic sensor 13 used for measuring the length of the cycloid wires 8 is arranged on the lower surface of the upper crossbeam plate 9.
As shown in fig. 2, the angle positioner 17 includes a tray 20, three support columns 23 are uniformly arranged on the upper surface of the tray 20 along the circumference, a vertical connecting short shaft 22 is fixed at the center of the lower surface of the tray 20, the connecting short shaft 22 is inserted into a circular hole in the center of the movable test platform 5, so that the tray 20 can horizontally rotate, an angle indicator is attached to the test platform, the angle indicator has an indication range of-10 degrees to 10 degrees, the division value is 1 degree, and the tray 20 is provided with an angle indicator 21 along the circumference. The center of the upper surface of the tray 20 is provided with a circular mirror 24 for observing whether the center of the rotating shaft of the measured rigid body is superposed with the center of the lower swing disc.
As shown in fig. 3, the lower swing plate 15 is circular, the lower swing plate 15 is made of transparent organic glass, the center of a circle is marked by a cross mark on the surface of the lower swing plate 15, 9 concentric circles with equal intervals are marked outwards from the center of the circle, the diameter of the circle outwards from the center of the circle is sequentially 10 mm-42 mm, and each circle is increased by 4 mm.
The measurement and control system comprises a central controller 2 and a touch display screen 3, wherein the central controller 2 is connected with a screw motor 10, a cycloid length control motor 12, an ultrasonic sensor 13 and a photoelectric sensor 16, signals measured by the ultrasonic sensor 13 and the photoelectric sensor 16 are input to the central controller 2 to be processed and calculated, and the obtained measured rigid body moment of inertia is displayed on the touch display screen 3.
A rigid body moment of inertia test method includes the following steps:
the method comprises the following steps: the length of the cycloid 8 is set on the touch display screen 3, the central controller 2 controls the cycloid length to control the motor 12 to rotate, and the length value of the cycloid 8 is continuously fed back through the ultrasonic sensor 13 to reach a set value.
Step two: utilize horizontal bubble adjustment down balance 15 to horizontality, manual adjustment angle locator 17 makes angle pointer 21 align the 0 position of angle indication on the movable test platform 5, through the operation of central controller 2 control lead screw motor 10, lead screw motor 10 drives ball 6 and rotates to drive lift nut 18, platform support frame 4, movable test platform 5 rise, make three spinal branch daggers 23 contact on the angle locator 17 and support down balance 15.
Step three: placing the measured rigid body on a lower wobble plate 15, reflecting and observing the transparent lower wobble plate 15 through a circular mirror surface 24 arranged on the upper surface of a tray 20, and judging whether the center of the lower wobble plate 15 is superposed with the center of an upper rotating shaft of the measured rigid body or not, if not, adjusting the position of the measured rigid body to ensure that the center of the lower wobble plate 15 is superposed with the center of the rotating shaft of the measured rigid body; if the measured rigid body is provided with a round hole, and the center of the round hole is the center of the rotating shaft, the round hole is superposed with or uniformly attached to a circle with a close diameter in the concentric circle mark on the disk surface of the lower swing disk 15.
Step four: an experimenter rotates the angle positioner 17 in a slight horizontal direction by hand to drive the lower swinging plate 15 to rotate together for 5 degrees, then the central controller 2 controls the screw motor 10 to operate, the screw motor 10 drives the ball screw 6 to rotate, so that the lifting nut 18, the platform supporting frame 4, the movable testing platform 5 and the angle positioner 17 are driven to descend together, the lower swinging plate 15 loses the support of the supporting column 23, and the lower swinging plate 15 does simple harmonic vibration under the traction of the three cycloids 8.
Step five: by touching the display screen 3, the central controller 2 is controlled to turn on the photoelectric sensor 16, and the torsional vibration period of the lower wobble plate 15 is tested.
Step six: the central controller 2 calculates the moment of inertia of the measured rigid body according to a theoretical formula based on the test data of the photoelectric sensor 16 and the known input parameters, and displays the moment of inertia on the touch display screen 3.
The calculation method and process of the measurement result of the middle three-line pendulum type rigid body rotational inertia tester of the present invention are known algorithms, and detailed description is not provided in the embodiment, and specifically, the application process of the three-line pendulum type rigid body rotational inertia tester can be referred to.
Claims (8)
1. A rigid body rotational inertia tester is characterized in that: the three-wire pendulum device comprises a support rod, an upper beam plate, three cycloids, a wire length measuring and controlling device, a lower pendulum plate, a movable test platform and a test platform lifting mechanism, wherein the three-wire pendulum device is arranged on the right side of the base plate, the measuring and controlling system is arranged on the left side of the base plate, the support rod is vertically fixed on the right side of the base plate, a lead screw support frame is vertically fixed in the middle of the base plate, the upper ends of the support rod and the lead screw support frame are horizontally connected with the upper beam plate, the middle part of the upper beam plate is provided with three first small holes, three cycloids vertically drop in the three first small holes, the cycloids drop and penetrate through three second small holes which are uniformly distributed on the circumference of the lower pendulum plate and then are tied to the same wire knot, and the lower pendulum plate is drawn by the three cycloids and used for placing a measured rigid body; the upper beam plate is provided with a wire length measurement and control device, the lower ends of the support rods and the lead screw support frame are horizontally provided with a movable test platform, the movable test platform is positioned below the lower swinging plate, the movable test platform is provided with a photoelectric sensor for testing the swinging period of the lower swinging plate and an angle positioner for enabling the lower swinging plate to uniformly control swinging, and the movable test platform is controlled to be positioned and lifted through a test platform lifting mechanism and is guided by the support rods; the measurement and control system is connected with the wire length measurement and control device, the test platform lifting mechanism and the photoelectric sensor.
2. The rigid body rotational inertia tester of claim 1, wherein: the test platform lifting mechanism comprises a ball screw, a screw motor and a lifting nut, the ball screw is supported and fixed by a screw support frame, the upper end of the ball screw is connected with the screw motor fixedly arranged on the upper beam plate, and the lifting nut is arranged on the ball screw; the lead screw motor operates to drive the ball screw to rotate and drive the lifting nut to ascend or descend, and the lifting nut is fixedly connected with the movable testing platform through the platform supporting frame and ascends and descends together.
3. The rigid body rotational inertia tester of claim 2, wherein: the wire length measuring and controlling device comprises a cycloid length control motor, a wire winding mechanism and an ultrasonic sensor, wherein the cycloid length control motor is fixedly installed on the upper crossbeam plate, the cycloid length control motor is connected with the wire winding mechanism installed on the upper crossbeam plate, three cycloids are wound on the wire winding mechanism, and the ultrasonic sensor used for measuring the cycloid length is arranged on the lower surface of the upper crossbeam plate.
4. The rigid body rotational inertia tester of claim 3, wherein: the angle positioner comprises a tray, three support columns are uniformly distributed on the upper surface of the tray in the circumferential direction, a vertical connecting short shaft is fixed at the center of the lower surface of the tray and inserted into a circular hole in the center of the movable test platform, so that the tray can horizontally rotate, an angle indicating mark is pasted on the test board, and an angle pointer is arranged on the circumferential direction of the tray.
5. The rigid body rotational inertia tester of claim 4, wherein: and a circular mirror surface is arranged in the center of the upper surface of the tray and used for observing whether the center of the rotating shaft of the measured rigid body is superposed with the center of the lower swinging plate.
6. The rigid body rotational inertia tester of claim 4, wherein: the indication range of the angle indication mark is-10 degrees to 10 degrees, and the division value is 1 degree.
7. The rigid body rotational inertia tester of claim 5, wherein: the lower swing disc is circular, is made of transparent organic glass, is marked with a cross-shaped circle center, marks 9 equidistant concentric circles outwards from the circle center, and increases 4mm from 10mm to 42mm in diameter from the circle center to the outer circle.
8. The rigid body rotational inertia tester of claim 7, wherein: the measurement and control system comprises a central controller and a touch display screen, the central controller is connected with the screw motor, the cycloid length control motor, the ultrasonic sensor and the photoelectric sensor, signals measured by the ultrasonic sensor and the photoelectric sensor are input to the central controller for processing and calculation, and the obtained measured rigid body moment of inertia is displayed on the touch display screen.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202120242639.6U CN214583819U (en) | 2021-01-28 | 2021-01-28 | Rigid body rotation inertia tester |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202120242639.6U CN214583819U (en) | 2021-01-28 | 2021-01-28 | Rigid body rotation inertia tester |
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| Publication Number | Publication Date |
|---|---|
| CN214583819U true CN214583819U (en) | 2021-11-02 |
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| Application Number | Title | Priority Date | Filing Date |
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| CN202120242639.6U Active CN214583819U (en) | 2021-01-28 | 2021-01-28 | Rigid body rotation inertia tester |
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| CN (1) | CN214583819U (en) |
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2021
- 2021-01-28 CN CN202120242639.6U patent/CN214583819U/en active Active
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Effective date of registration: 20221115 Address after: 410000 room 106, building 10, block B, Xianghu first village, Wanbao Avenue, Xianghu street, Furong district, Changsha City, Hunan Province Patentee after: CHANGSHA RONGLIAN ELECTROMECHANICAL TECHNOLOGY CO.,LTD. Address before: 411101 No.88 Fuxing East Road, Yuetang District, Xiangtan City, Hunan Province Patentee before: HUNAN INSTITUTE OF ENGINEERING |
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