CN106057031B - A kind of gyro approximation theory validating instrument - Google Patents
A kind of gyro approximation theory validating instrument Download PDFInfo
- Publication number
- CN106057031B CN106057031B CN201610345999.2A CN201610345999A CN106057031B CN 106057031 B CN106057031 B CN 106057031B CN 201610345999 A CN201610345999 A CN 201610345999A CN 106057031 B CN106057031 B CN 106057031B
- Authority
- CN
- China
- Prior art keywords
- gyro
- motor
- approximation theory
- holder
- disk
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
Classifications
-
- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/06—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics
- G09B23/08—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics
- G09B23/10—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics of solid bodies
Abstract
The invention discloses a kind of gyro approximation theory validating instruments, including motor, idler wheel, pressure sensor, holder, disk, control acquisition module, display, it includes control element and analog-to-digital conversion module to control acquisition module, script is abstracted obscure gyro approximation theory and is shown with specific mock-up by the gyro approximation theory validating instrument, facilitate teacher intuitively to impart knowledge to students gyro approximation theory, student is made to be easier to understand gyro approximation theory.
Description
Technical field
The invention belongs to teaching aid technical field, more particularly to a kind of gyro approximation theory validating instrument.
Background technology
In daily life, many interesting phenomenons be can be frequently observed.Such as：When bicycle is static, if without vehicle
Frame supports, and bicycle will fall down, but when cycling, vehicle body would not fall down；For another example toy gyroscope is around its symmetry axis
When high speed rotation, gyro will not fall down after being disturbed, but its symmetry axis fixing axle will rotate in space, these phenomenons are known as
Gyro phenomenon.Gyro is widely used in engineering technology, as aircraft, the inertial navigation on naval vessel and control, modern technologies make
Gyro, spin velocity are typically much deeper than angular velocity of precession, i.e. ω1>>ω2.Gyro fundamental formular can be write as MO=Jz
ω2×ω1, this formula is also referred to as gyro approximate formula, and the gyrodynamics established based on gyro approximate formula is theoretical, referred to as
Gyro approximation theory.
The dynamics of rational mechanics, usually with abstract hard to understand and famous, for the university student of rigid contact theory mechanics,
Receive and understands it at a difficult task.
Invention content
The object of the present invention is to provide a kind of gyro approximation theory validating instruments.
For this purpose, technical solution of the present invention is as follows：
A kind of gyro approximation theory validating instrument, including motor, idler wheel, pressure sensor, holder, disk, control acquisition mould
Block, display；It includes control element and analog-to-digital conversion module to control acquisition module；The output shaft of motor is in the top of holder
The heart enters the inside of holder, and motor is fixed on holder, and idler wheel is connected by connector with the output shaft of motor；Disk is set
It sets in the inside of holder, and the output shaft of disc centre and motor is point-blank, the lower surface of disk is centrally through pressure
Sensor is fixed on holder, and idler wheel is arranged in the upper surface of disk；Motor, pressure sensor and display are acquired with control
Modular electrical connects.
The motor is RE35 direct current brushless servo motors and motor is equipped with motor code-disc.
The pressure sensor is 20kg pressure sensors.
The holder is symmetrical frame structure.
The control element uses STC89C52 type microcontrollers.
The analog-to-digital conversion module uses HX711 type A/D conversion chips.
Compared with prior art, which is abstracted obscure gyro approximation theory with specific by script
Mock-up show, facilitate teacher intuitively to impart knowledge to students gyro approximation theory, make student to gyro approximation theory
It is easier to understand.
Description of the drawings
Fig. 1 is the structural schematic diagram of gyro approximation theory validating instrument provided by the invention.
Fig. 2 is the side view of gyro approximation theory validating instrument provided by the invention.
Fig. 3 is the electric drawings of gyro approximation theory validating instrument provided by the invention.
Fig. 4 is the stress diagram of motor.
Fig. 5 is the stress diagram of idler wheel.
Specific implementation mode
Below in conjunction with the accompanying drawings and specific embodiment the present invention is described further, but following embodiments are absolutely not to this hair
It is bright to have any restrictions.
As shown in Figs. 1-5, which includes motor 1, idler wheel 2, pressure sensor 3, holder 4, circle
Disk 5, control acquisition module 6, display 7；It includes control element 8 and analog-to-digital conversion module 9 to control acquisition module 6；Motor 1 it is defeated
Shaft enters the inside of holder 4 through the top center of holder 4, and motor 1 is fixed on holder 4, and idler wheel 2 passes through connection
Part is connected with the output shaft of motor 1；Disk 5 is arranged in the inside of holder 4, and the output shaft of 5 center of disk and motor 1 is at one
On straight line, the lower surface of disk 5 is fixed on centrally through pressure sensor 3 on holder 4, and the upper table in disk 5 is arranged in idler wheel 2
Face；Motor 1, pressure sensor 3 and display 7 are electrically connected with control acquisition module 6.
The motor 1 is RE35 direct current brushless servo motors and motor 1 is equipped with motor code-disc.
The pressure sensor 3 is 20kg pressure sensors.
The holder 4 is symmetrical frame structure.
The control element 8 uses STC89C52 type microcontrollers.
The analog-to-digital conversion module 9 uses HX711 type A/D conversion chips.
The operation principle of gyro approximation theory validating instrument provided by the invention is as follows：
Gyro approximation theory validating instrument provided by the invention when in use, first by motor 1, pressure sensor 3, display
7 are powered with control acquisition module 6, and the output shaft of motor 1 rotates under the control of control acquisition module 6, from there through even
The idler wheel 2 that fitting drives makees the uniform circular motion that radius is R on disk 5, and at the same time, idler wheel 2 itself is made using r as radius
Uniform circular motion, pressure sensor 3 is by the disk 5 detected in real time to the holding power N of idler wheel 2 and the weight of itself of idler wheel 2
The vector sum of power G is transferred to HX711 analog-to-digital conversion modules 9, and analog-to-digital conversion module 9 can detect above-mentioned pressure sensor 3
Voltage signal amplify 128 times, the then AD conversion value of sampling output 24bit, control element 8 is by specified sequential by 24bit
Data are read in, and the results are shown on display 7, at the same time, the motor code-disc on motor 1 arrives the speed feedback of motor
On control element 8, control element 8 again by this presentation of information on the display 7.
Fig. 4-Fig. 5 is the force analysis figure of gyro approximation theory validating instrument provided by the invention,
Gyro fundamental formular is：
WhereinFor the spin velocity of idler wheel 2,For the angular velocity of precession of idler wheel 2；
Formula (1) abbreviation can obtain：
C wherein in formula (2) is the rotary inertia of rigid body；
From Fig. 4-Fig. 5 it is found that the angular velocity omega of motor 1 is the angular velocity of precession of idler wheel 2, the spin velocity of idler wheel 2
ForThen formula (2) can be write as：
During the motion, disk 5 is rolling to the vector sum of the holding power N and idler wheel 2 of idler wheel 2 the gravity G of itself to idler wheel 2
Wheel 2 provides the torque in motion process, then has：
Combined with formula (2) from formula (3)：
The motor speed ω of motor code-disc feedback on motor 1 is brought into formula (5), and result of calculation and pressure are passed
The observed pressure of sensor 1 is compared, to verify gyro approximation principle.
Claims (6)
1. a kind of gyro approximation theory validating instrument, which is characterized in that the gyro approximation theory validating instrument include motor (1),
Idler wheel (2), pressure sensor (3), holder (4), disk (5), control acquisition module (6), display (7)；Control acquisition module
(6) include control element (8) and analog-to-digital conversion module (9)；The output shaft of motor (1) through holder (4) top center and into
Enter the inside of holder (4), and motor (1) is fixed on holder (4), the output shaft that idler wheel (2) passes through connector and motor (1)
It is connected；Disk (5) setting is in the inside of holder (4), and the output shaft of disk (5) center and motor (1) is point-blank, circle
The lower surface of disk (5) is fixed on centrally through pressure sensor (3) on holder (4), and the upper table in disk (5) is arranged in idler wheel (2)
Face；Motor (1), pressure sensor (3) and display (7) are electrically connected with control acquisition module (6).
2. gyro approximation theory validating instrument according to claim 1, which is characterized in that the motor (1) is that RE35 is straight
It flows brushless servo motor and motor (1) is equipped with motor code-disc.
3. gyro approximation theory validating instrument according to claim 1, which is characterized in that the pressure sensor (3) is
20kg pressure sensors.
4. gyro approximation theory validating instrument according to claim 1, which is characterized in that the holder (4) is left and right pair
The frame structure of title.
5. gyro approximation theory validating instrument according to claim 1, which is characterized in that the control element (8) uses
STC89C52 type microcontrollers.
6. gyro approximation theory validating instrument according to claim 1, which is characterized in that the analog-to-digital conversion module (9)
Using HX711 type A/D conversion chips.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610345999.2A CN106057031B (en) | 2016-05-23 | 2016-05-23 | A kind of gyro approximation theory validating instrument |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610345999.2A CN106057031B (en) | 2016-05-23 | 2016-05-23 | A kind of gyro approximation theory validating instrument |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN106057031A CN106057031A (en) | 2016-10-26 |
| CN106057031B true CN106057031B (en) | 2018-09-28 |
Family
ID=57174187
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201610345999.2A Expired - Fee Related CN106057031B (en) | 2016-05-23 | 2016-05-23 | A kind of gyro approximation theory validating instrument |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN106057031B (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113012541B (en) * | 2021-03-01 | 2023-01-06 | 李能琴 | Visual teaching aid for classroom teaching |
Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2059527U (en) * | 1989-08-13 | 1990-07-18 | 天津第二医学院 | Telecontrolled rotating demonstrator |
| CN1052371A (en) * | 1990-05-23 | 1991-06-19 | 航空航天部第一设计研究院十五所 | Gyroscope north searching instrument |
| CN2316686Y (en) * | 1997-08-14 | 1999-04-28 | 天津大学 | Multifunctional demonstrator for rigid body precessional motion |
| WO2007084090A1 (en) * | 2006-01-20 | 2007-07-26 | Lykhovyd Yuriy M | Method of generating coriolis's levitation forces and a gyroscopic system ('gyro-turbine') |
| CN101436356A (en) * | 2008-12-16 | 2009-05-20 | 北京航空航天大学 | Apparatus and method for measuring gyro moment |
| CN103776434A (en) * | 2012-10-23 | 2014-05-07 | 于中权 | Novel gyro north seeker and north seeking method |
| CN203629581U (en) * | 2013-12-31 | 2014-06-04 | 杭州士兰微电子股份有限公司 | Self-adaptive rotation speed measuring system based on inertial sensor |
| CN203931278U (en) * | 2014-07-09 | 2014-11-05 | 湖州师范学院 | A kind of gyroscopic procession demonstrator |
| CN204346447U (en) * | 2015-01-09 | 2015-05-20 | 龚建 | Pendulum type gyroscope north searching instrument |
-
2016
- 2016-05-23 CN CN201610345999.2A patent/CN106057031B/en not_active Expired - Fee Related
Patent Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2059527U (en) * | 1989-08-13 | 1990-07-18 | 天津第二医学院 | Telecontrolled rotating demonstrator |
| CN1052371A (en) * | 1990-05-23 | 1991-06-19 | 航空航天部第一设计研究院十五所 | Gyroscope north searching instrument |
| CN2316686Y (en) * | 1997-08-14 | 1999-04-28 | 天津大学 | Multifunctional demonstrator for rigid body precessional motion |
| WO2007084090A1 (en) * | 2006-01-20 | 2007-07-26 | Lykhovyd Yuriy M | Method of generating coriolis's levitation forces and a gyroscopic system ('gyro-turbine') |
| CN101436356A (en) * | 2008-12-16 | 2009-05-20 | 北京航空航天大学 | Apparatus and method for measuring gyro moment |
| CN103776434A (en) * | 2012-10-23 | 2014-05-07 | 于中权 | Novel gyro north seeker and north seeking method |
| CN203629581U (en) * | 2013-12-31 | 2014-06-04 | 杭州士兰微电子股份有限公司 | Self-adaptive rotation speed measuring system based on inertial sensor |
| CN203931278U (en) * | 2014-07-09 | 2014-11-05 | 湖州师范学院 | A kind of gyroscopic procession demonstrator |
| CN204346447U (en) * | 2015-01-09 | 2015-05-20 | 龚建 | Pendulum type gyroscope north searching instrument |
Also Published As
| Publication number | Publication date |
|---|---|
| CN106057031A (en) | 2016-10-26 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN105667838B (en) | A kind of modularization attitude determination and control devices and methods therefor of skin Nano satellite | |
| CN106094887B (en) | System integrating three-axis turntable function and stable platform function | |
| CN100405014C (en) | Carrier attitude measurement method and system | |
| CN102072792B (en) | Bicyle-mounted apparatus for measuring forces and bicycle with the same | |
| CN202793402U (en) | Full-decoupling capacitive uniaxial micromechanical gyroscope with four mass blocks | |
| CN100489562C (en) | Geomagnetic sensor for computing azimuth and method thereof | |
| CN106057031B (en) | A kind of gyro approximation theory validating instrument | |
| CN105292344A (en) | Self-balancing electric monocycle based on gyroscope stabilizer | |
| CN203931278U (en) | A kind of gyroscopic procession demonstrator | |
| JP6311871B2 (en) | Physical quantity detection circuit, physical quantity detection device, physical quantity measurement system, electronic device, moving object, and physical quantity measurement data generation method | |
| CN103148847B (en) | System and method for eliminating in-phase error of micromechanical gyroscope based on differential | |
| CN104197931A (en) | Three-dimensional display device of miniature navigation attitude system based on FPGA (Field Programmable Gate Array) | |
| CN104700694B (en) | Gyroscopic effect demonstrator | |
| CN203241436U (en) | Calibration apparatus for multi-axis micro motion sensor | |
| CN205862233U (en) | A kind of integrated three-axle table function and the system of stabilized platform function | |
| CN108710435B (en) | Force touch interaction device driven by synchronous self-aligning spherical ultrasonic motor | |
| CN103162679A (en) | System and method for eliminating micromechanical gyroscope in-phase error based on multiplication | |
| CN100489452C (en) | Diamagnetic rotor electromagnetic induction driving micro-gyroscope | |
| CN106023663B (en) | A kind of teaching experiment batch inspection system based on stabilized platform | |
| CN206210133U (en) | A kind of teaching experiment batch inspection system based on stabilized platform | |
| CN105005303A (en) | Vertical and balanced robot | |
| Miah et al. | Evaluation of MEMS sensors accuracy for bicycle tracking and positioning | |
| CN109903652A (en) | A kind of gyro approximation theory validating instrument | |
| CN217306030U (en) | Demonstration device for rigid body top teaching experiment | |
| JP2015184181A (en) | Physical quantity detection circuit, physical quantity detection device, electronic apparatus, and mobile entity |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20180928 Termination date: 20190523 |