CN105825016B - A method of establishing vane type continuous rotary electrohydraulic servo motor internal leakage model - Google Patents

A method of establishing vane type continuous rotary electrohydraulic servo motor internal leakage model Download PDF

Info

Publication number
CN105825016B
CN105825016B CN201610159755.5A CN201610159755A CN105825016B CN 105825016 B CN105825016 B CN 105825016B CN 201610159755 A CN201610159755 A CN 201610159755A CN 105825016 B CN105825016 B CN 105825016B
Authority
CN
China
Prior art keywords
blade
stator
servo motor
leakage
continuous rotary
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
Application number
CN201610159755.5A
Other languages
Chinese (zh)
Other versions
CN105825016A (en
Inventor
王晓晶
李嵩
洗昌富
满国佳
张梦俭
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Harbin University of Science and Technology
Original Assignee
Harbin University of Science and Technology
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Harbin University of Science and Technology filed Critical Harbin University of Science and Technology
Priority to CN201610159755.5A priority Critical patent/CN105825016B/en
Publication of CN105825016A publication Critical patent/CN105825016A/en
Application granted granted Critical
Publication of CN105825016B publication Critical patent/CN105825016B/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/30Circuit design
    • G06F30/36Circuit design at the analogue level
    • G06F30/367Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Microelectronics & Electronic Packaging (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Hydraulic Motors (AREA)

Abstract

A method of establishing vane type continuous rotary electrohydraulic servo motor internal leakage model.Present invention aims at the blank fields for filling up vane type continuous rotary electrohydraulic servo motor internal leakage mathematical model based on numerical simulation and theoretical calculation under minim gap, different operating conditions, and establish a kind of motor internal leakage model.Step A, 4 kinds of position internal leakage formula of motor are established;Step B, 4 kinds of operating conditions of motor are analyzed;Step C, fluid model made of stator, rotor, blade, oil distribution casing enclose is established;Step D, are imported by CFX and simulates calculating in the steady state for 4 kinds of fluid model grid divisions with CFD software, and establish the solid model of stator, rotor, blade and oil distribution casing;Step E, work flow diagram is established in WORKBENCH, and wind-structure interaction is carried out to motor;Step F, the Aberration nephogram of each component is obtained by WORKBENCH post-processing, substitution step A, which corresponds to formula, can acquire leakage rate caused by primary clearance and solid-fluid coupling deformation.

Description

A method of establishing vane type continuous rotary electrohydraulic servo motor internal leakage model
Technical field
The invention belongs to electrohydraulic servo motor fields, in particular to a kind of to establish vane type continuous rotary electrohydraulic servo motor The method of internal leakage model.
Background technique
With the development of economic level and the continuous enhancing of military capability of the country, China is in Aeronautics and Astronautics and relevant technical field Huge advance is achieved, while more strict requirements also are proposed to precision, the controllability of exploration tool and aircraft. Artificial rotary table is the high-grade, precision and advanced key equipment that ground HWIL simulation is carried out in the aircraft development process such as guided missile, it is using electro-hydraulic Servo motor directly drives.High Precision Simulation turntable has a strict requirements to low-speed performance, and continuous rotary electro-hydraulic servo horse The leakage reached can make it generate low speed jerking motion phenomenon, this has seriously affected the realization of artificial rotary table low speed.Therefore it studies continuous Influence of the leakage characteristics of electrohydraulic servo motor to its low-speed performance is turned round to be of great significance.
Leakage is divided into two kinds of situations of internal leakage and external leakage, for vane type continuous rotary electrohydraulic servo motor, outside The case where leakage, is more complicated, rests on theory deduction level, horse mostly for the research of electrohydraulic servo motor internal leakage at present Fixed value calculation is pressed up to the gap of each critical component, does not consider the deformation of motor critical component under different operating conditions to internal leakage It influences, this makes the calculated results differ greatly with actual conditions.Therefore fluid structurecoupling simulation analysis and theoretical calculation are used The method combined obtains the changing rule of motor internal leakage, to the structure and research of optimization continuous rotary electrohydraulic servo motor The measure for improving motor low speed has important directive significance.
Summary of the invention
Present invention aims at fill up vane type continuous rotary electrohydraulic servo motor under minim gap, different operating condition to be based on The blank field of the internal leakage mathematical model of numerical simulation and theoretical calculation, and establish a kind of internal leakage model.
A method of vane type continuous rotary electrohydraulic servo motor internal leakage model is established, is realized according to the following steps.
Step A, 4 kinds of position internal leakage formula of vane type continuous rotary electrohydraulic servo motor are established.
Step B, the various operating conditions of vane type continuous rotary electrohydraulic servo motor are analyzed, which is double-acting type, center 2 high pressure chests and 2 low pressure chambers are symmetrically distributed with, are circumferentially evenly distributed with 13 blades along rotor slot, stator inner curve is by 2 sections of long radiuses Circular arc, 2 sections of short radius circular arcs and 4 sections of easement curve compositions, blade are close to the rotation of stator inner curve, and in import and export, there are pressure differences When, stator, rotor, blade and oil distribution casing gap can generate internal leakage, in stator inner curve major radius arc section, there are two leaves Piece and short radius arc section are there are two when blade, and leakage rate is constant, and leakage rate is when it respectively has a blade Consecutive variations, therefore 4 kinds of operating conditions that the long and short radius arc section of stator is respectively present a blade and two blades need to be only studied, The total leakage rate generated inside motor can be acquired, these contain all operating conditions of motor running under normal circumstances.
Step C, according to the structure size of vane type continuous rotary electrohydraulic servo motor and given initialized gap values, three are used Dimension modeling software establishes fluid model made of motor stator, rotor, blade, oil distribution casing enclose, and exports moxing1.x_t, Moxing2.x_t, moxing3.x_t, moxing4.x_t fluid model file.
Step D, grid dividing is carried out to 4 kinds of fluid models with ANSYS ICEM CFD software, obtains grid, given fluid Domain boundary condition simultaneously exports moxing1.cfx5, moxing2.cfx5, moxing3.cfx5, moxing4.cfx5 file, will The above file is directed respectively into ANSYS CFX, is inputted different inlet pressure and outlet pressure, is then simulated in the steady state Calculating finally obtains moxing1.res, moxing2.res, moxing3.res, moxing4.res file, and establishes and include The solid model of the motors critical component such as stator, rotor, blade and oil distribution casing.
Step E, work flow diagram is established in ANSYS WORKBENCH software, to vane type continuous rotary electro-hydraulic servo Motor carries out indirect fluid-solid coupling analysis.
Step F, it can get by WORKBENCH post-processing comprising the motor including stator, rotor, blade and oil distribution casing The Aberration nephogram of critical component, by cloud atlas maximum deformation quantity and least amount of deformation be averaged, it is theoretical public to substitute into internal leakage Formula calculating can acquire leakage rate caused by primary clearance and solid-fluid coupling deformation.
Compared with prior art, the present invention has the advantages that.
The method of the present invention utilizes 4 kinds of vane type continuous rotary electrohydraulic servo motor streams under the practical different operating conditions of computer simulation Deformation of the body Model under different import and export pressure obtains 4 kinds of deformed gap widths of fluid model, according to parallel flat Slot leakage principle formula in face derives the internal leakage formula at 4 kinds of positions of motor, by primary clearance and solid-fluid coupling deformation gap width The separate equations are substituted into, obtain the internal leakage at each position of motor respectively, and then acquire the total internal leakage of motor.The above process is fixed Amount obtains each position internal leakage of motor and total internal leakage provides important theoretical reference foundation, while also revealing influence horse Up to the structural parameters and physical descriptor of each position internal leakage.This is specified for the improvement of continuous rotary electrohydraulic servo motor low speed Direction provides important for the design of continuous rotary electrohydraulic servo motor critical component, the improvement of optimized integral structure and low-speed performance Reference.Computer Numerical Simulation process meets actual condition, obtains motor solid-fluid coupling deformation gap width, makes designer can The gap for rapidly obtaining vane type continuous rotary electrohydraulic servo motor each critical component of motor under different import and export pressure becomes Shape value, and then can be in the hope of the internal leakage at 4 kinds of positions of motor, to calculate and controlling vane type continuous rotary electrohydraulic servo motor Internal leakage provides more valuable theoretical foundation, and numerical simulation result has prior practical value.
Detailed description of the invention
Fig. 1 is flow chart of the present invention.
Fig. 2 is the specific flow chart of process E of the present invention.
Fig. 3 is vane type continuous rotary electrohydraulic servo motor schematic diagram of internal structure.
Fig. 4, Fig. 5 are fluid model schematic diagrames made of motor stator, rotor, blade, oil distribution casing enclosing.
Specific embodiment
In order to guarantee the flexible operating of vane type continuous rotary electrohydraulic servo motor, between the opposite sliding surfaces of each component There is certain gap.When these gaps are between high and low pressure chamber under the action of pressure difference, internal leakage will necessarily be generated, Internal leakage specifically includes that
(1) leakage between vane tip and stator inner surface;
(2) leakage between vane end faces and oil distribution casing working face;
(3) between blade and blade groove fit clearance leakage;
(4) leakage between rotor end-face and oil distribution casing working face.
By carefully analyzing and Rational Simplification, this 4 kinds of leakage parts can be classified as parallel plane slot leakage.
Vane type continuous rotary electrohydraulic servo motor parameter definition is as follows: the pressure of high pressure chest, the pressure of low pressure chamber, stator shaft orientation widthB, clearance height, the radius of stator negative camber major radius circular arc, stator negative camber short radius circular arc Radius, motor rotation angular speed, coefficient of kinetic viscosity, blade circumferential gap length, width of blade, fixed The gap length of sub- major radius circular arc, the gap length of stator short radius circular arc, two blade grooves surround fan-shaped circle Heart angle, rotor radiusr, distance of the blade trench bottom to the rotor center of circle
According to parallel plane slot leakage amount formula, when can acquire motor major radius arc section has 2 blades, each position Internal leakage expression formula is as follows.
(1) leakage between vane tip and stator inner surface
(2) leakage between vane end faces and oil distribution casing working face
(3) between blade and blade groove fit clearance leakage
(4) leakage between rotor end-face and oil distribution casing working face
The total internal leakage of motor
Fluid model and simulation analysis are established to vane type continuous rotary electrohydraulic servo motor leakage part below.
Step A, the various operating conditions of vane type continuous rotary electrohydraulic servo motor are analyzed, which is double-acting type, center 2 high pressure chests and 2 low pressure chambers are symmetrically distributed with, are circumferentially evenly distributed with 13 blades along rotor slot, stator inner curve is by 2 sections of long radiuses Circular arc, 2 sections of short radius circular arcs and 4 sections of easement curve compositions, blade are close to the rotation of stator inner curve, and in import and export, there are pressure differences When, gap can generate leakage, and in stator inner curve major radius arc section, there are two blade and short radius arc section, there are two leaves When piece, leakage rate is constant, and leakage rate is consecutive variations when it respectively has a blade, therefore need to only study stator Long and short radius arc section is respectively present 4 kinds of situations of a blade and two blades, can acquire always letting out for motor inside generation Leakage, these contain all operating conditions of motor running under normal circumstances.
Step B, according to the structure size of vane type continuous rotary electrohydraulic servo motor and given initialized gap values, three are used Dimension modeling software establishes fluid model made of motor stator, rotor, blade, oil distribution casing enclose, and exports moxing1.x_t, Moxing2.x_t, moxing3.x_t, moxing4.x_t fluid model file.
Step C, grid dividing is carried out to fluid model with ANSYS ICEM CFD software, obtains grid, given fluid domain Boundary condition simultaneously exports moxing1.cfx5, moxing2.cfx5, moxing3.cfx5, moxing4.cfx5 file, will more than File is directed respectively into ANSYS CFX, is inputted different inlet pressure and outlet pressure, is then carried out simulation calculating in the steady state Moxing1.res, moxing2.res, moxing3.res, moxing4.res file are finally obtained, and establishes comprising stator, turn The solid model of the motors critical components such as son, blade and oil distribution casing.
Step D, work flow diagram is established in ANSYS WORKBENCH software, to vane type continuous rotary electro-hydraulic servo Motor carries out indirect fluid-solid coupling analysis.
Step E, it can get by WORKBENCH post-processing comprising the motor including stator, rotor, blade and oil distribution casing The Aberration nephogram of critical component, by cloud atlas maximum deformation quantity and least amount of deformation be averaged, it is theoretical public to substitute into internal leakage Formula calculating can acquire leakage rate caused by primary clearance and solid-fluid coupling deformation.

Claims (5)

1. a kind of method for establishing vane type continuous rotary electrohydraulic servo motor internal leakage model, it is characterised in that establish vane type The method of continuous rotary electrohydraulic servo motor internal leakage model is realized according to the following steps:
Step A, the internal leakage formula at 4 kinds of positions of vane type continuous rotary electrohydraulic servo motor is established;
Step B, the various operating conditions of vane type continuous rotary electrohydraulic servo motor are analyzed, which is double-acting type, central symmetry 2 high pressure chests and 2 low pressure chambers are distributed with, are circumferentially evenly distributed with 13 blades along rotor slot, stator inner curve is by 2 sections long radius circle Arc, 2 sections of short radius circular arcs and 4 sections of easement curves composition, blade are close to the rotation of stator inner curve, in import and export there are when pressure difference, Gap can generate leakage, and in stator inner curve major radius arc section, there are two blade and short radius arc section, there are two blades When, leakage rate is constant, and leakage rate is consecutive variations when it respectively has a blade, therefore need to only study stator it is long, Short radius arc section is respectively present 4 kinds of operating conditions of a blade and two blades, can acquire the total leakage generated inside motor Amount, these contain all operating conditions of motor running under normal circumstances;
Step C, it according to the structure size of vane type continuous rotary electrohydraulic servo motor and given initialized gap values, is built using three-dimensional Mould software establishes fluid model made of motor stator, rotor, blade, oil distribution casing enclose, and exports moxing1.x_t, Moxing2.x_t, moxing3.x_t, moxing4.x_t fluid model file;
Step D, grid dividing is carried out to 4 kinds of fluid models with ANSYS ICEM CFD software, obtains grid, given fluid domain side Boundary's condition simultaneously exports moxing1.cfx5, and moxing2.cfx5, moxing3.cfx5, moxing4.cfx5 file will be with above Part is directed respectively into ANSYS CFX, inputs different inlet pressure and outlet pressure, is then carried out simulation in the steady state and is calculated most Obtain moxing1.res, moxing2.res, moxing3.res eventually, moxing4.res file, establish comprising stator, rotor, The solid model of blade and oil distribution casing critical component;
Step E, work flow diagram is established in ANSYS WORKBENCH software, to vane type continuous rotary electrohydraulic servo motor Carry out indirect fluid-solid coupling analysis;
Step F, it can get by WORKBENCH post-processing crucial comprising the motor including stator, rotor, blade and oil distribution casing The Aberration nephogram of component, by cloud atlas maximum deformation quantity and least amount of deformation be averaged, substitute into internal leakage theoretical formula meter Calculation can acquire leakage rate caused by primary clearance and solid-fluid coupling deformation.
2. a kind of method for establishing vane type continuous rotary electrohydraulic servo motor internal leakage model according to claim 1, It is characterized in that establishing 4 kinds of position internal leakage formula of vane type continuous rotary electrohydraulic servo motor in step:
(1) leakage between vane tip and stator inner surface
(2) leakage between vane end faces and oil distribution casing working face
(3) between blade and blade groove fit clearance leakage
(4) leakage between rotor end-face and oil distribution casing working face
The total internal leakage of motor
Wherein vane type continuous rotary electrohydraulic servo motor parameter definition is as follows: the pressure p of high pressure chest1, the pressure p of low pressure chamber2, Stator shaft orientation width B, clearance height h, the radius R of stator negative camber major radius circular arc1, the half of stator negative camber short radius circular arc Diameter R2, motor rotation angular velocity omega, coefficient of kinetic viscosity μ, blade circumferential gap length l1, width of blade l2, stator major radius circle Gap length l at arc3, the gap length l of stator short radius circular arc4, two blade grooves surround fan-shaped central angle θ, rotor half Diameter r, the distance r of blade trench bottom to the rotor center of circle0
3. a kind of method for establishing vane type continuous rotary electrohydraulic servo motor internal leakage model according to claim 1, It is characterized in that being four parts by the model partition of motor seal cavity, i.e. major radius arc section has a blade and two blades And short radius arc section has the model of a blade and two blades, can find out total leakage of motor seal cavity.
4. a kind of method for establishing vane type continuous rotary electrohydraulic servo motor internal leakage model according to claim 1, It is characterized in that the step E establishes work flow diagram in ANSYS WORKBENCH software, it is electro-hydraulic to vane type continuous rotary Servo motor carries out indirect fluid-solid coupling analysis, specifically:
Step E1, CFX module is added, fluid analysis result is imported;
Step E2, Geometry module is added, will include consolidating for stator, rotor, blade and oil distribution casing critical component in step D Body Model imports;
Step E3, Static Structrual module is added, grid dividing is carried out to motor critical component, while fluid being divided The pressure field of analysis is applied on the coupling wall surface of solid as load, and applies constraint appropriate to solid, and setting stator turns Then the material properties of son, blade and oil distribution casing are solved and are calculated.
5. a kind of method for establishing vane type continuous rotary electrohydraulic servo motor internal leakage model according to claim 4, It is characterized in that stator described in the step E3 is 38CrMoAl steel, rotor is 40Cr steel, and blade is W18Cr4V steel, with oil Disk is 45 steel, fills out corresponding density, Young's modulus and Poisson's ratio in material properties window.
CN201610159755.5A 2016-03-21 2016-03-21 A method of establishing vane type continuous rotary electrohydraulic servo motor internal leakage model Expired - Fee Related CN105825016B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201610159755.5A CN105825016B (en) 2016-03-21 2016-03-21 A method of establishing vane type continuous rotary electrohydraulic servo motor internal leakage model

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201610159755.5A CN105825016B (en) 2016-03-21 2016-03-21 A method of establishing vane type continuous rotary electrohydraulic servo motor internal leakage model

Publications (2)

Publication Number Publication Date
CN105825016A CN105825016A (en) 2016-08-03
CN105825016B true CN105825016B (en) 2019-04-26

Family

ID=56523884

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201610159755.5A Expired - Fee Related CN105825016B (en) 2016-03-21 2016-03-21 A method of establishing vane type continuous rotary electrohydraulic servo motor internal leakage model

Country Status (1)

Country Link
CN (1) CN105825016B (en)

Families Citing this family (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109359430B (en) * 2018-11-29 2023-01-06 上海交通大学 Vertical long-shaft pump gap sealing calculation method
CN109884887B (en) * 2019-04-03 2022-03-22 哈尔滨理工大学 Continuous rotary motor control method based on self-correcting wavelet neural network
CN110196991A (en) * 2019-04-22 2019-09-03 哈尔滨理工大学 A kind of motor precommpression holding cavity structure design method based on drosophila algorithm
CN111814409A (en) * 2019-12-03 2020-10-23 哈尔滨理工大学 Numerical simulation method for determining internal leakage influence factors of continuous rotary motor
CN113065212A (en) * 2021-04-09 2021-07-02 哈尔滨理工大学 Motor combination pressure buffer tank structure design method based on bird swarm algorithm
CN114611360A (en) * 2022-03-16 2022-06-10 北京建筑大学 Optimization method for sealing structure of continuous rotary electrohydraulic servo motor

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2008123636A1 (en) * 2007-04-09 2008-10-16 Hanbat Industry University Cooperation Foundation Rotor design method and rotor structure increasing torque and moment
CN104460321A (en) * 2014-12-15 2015-03-25 南京理工大学 Hydraulic motor preset performance tracking control method with hysteresis compensating
CN105151117A (en) * 2015-08-28 2015-12-16 南京航空航天大学 Electronically controlled hydraulic power steering system and multi-objective optimization method based on system

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2008123636A1 (en) * 2007-04-09 2008-10-16 Hanbat Industry University Cooperation Foundation Rotor design method and rotor structure increasing torque and moment
CN104460321A (en) * 2014-12-15 2015-03-25 南京理工大学 Hydraulic motor preset performance tracking control method with hysteresis compensating
CN105151117A (en) * 2015-08-28 2015-12-16 南京航空航天大学 Electronically controlled hydraulic power steering system and multi-objective optimization method based on system

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
Analysis and modeling of rotor slot enclosure effects in high-speed induction motors;Boglietti A 等;《IEEE Transactions on Industry Applications》;20120514;第48卷(第4期);第1279-1287页
连续回转电液伺服马达泄漏特性的研究;王晓晶 等;《机床与液压》;20081031;第36卷(第10期);第54-56页

Also Published As

Publication number Publication date
CN105825016A (en) 2016-08-03

Similar Documents

Publication Publication Date Title
CN105825016B (en) A method of establishing vane type continuous rotary electrohydraulic servo motor internal leakage model
CN103226634B (en) The computational methods of rotary-jet pump Unsteady Flow based on three-dimensional dynamic mesh
Ding et al. A CFD model for orbital gerotor motor
CN104636566A (en) Dynamic mesh numerical solution method based on modified fluid motion equation
CN104166752B (en) The full runner Transient Numerical Simulation computational methods of fluid torque-converter
CN111894681A (en) Turbine blade parametric modeling design method of high-speed turbine drilling tool
CN111159941B (en) Method for simulating flow field transient state numerical value in automobile hydraulic torque converter
CN110909422A (en) Method for predicting and optimizing range of efficient working condition area of centrifugal pump impeller
CN103226635A (en) Computing method for unsteady flow field of rotary impeller machinery based on three-dimensional dynamic mesh
CN106599422A (en) Vibration simulation analysis method and device of vane pump rotor system
CN111814409A (en) Numerical simulation method for determining internal leakage influence factors of continuous rotary motor
CN110032784B (en) Low-speed modeling design method of high-speed axial flow compressor with sealing labyrinth
CN111444590A (en) Optimization method of pressure buffer structure of continuous rotation electro-hydraulic servo motor
Dvořák et al. Calculations of parameters and mathematical model of rotary air motor
CN112412829A (en) Centrifugal pump hydraulic performance measuring method based on material average large vortex simulation
Wu et al. Optimization of blade profile of a plenum fan
Liu et al. Numerical investigation of the aerodynamic performance affected by spiral inlet and outlet in a positive displacement blower
Gamez-Montero et al. Numerical study in a mini trochoidal-gear pump with multi-meshing contact points
Vande Voorde et al. A grid manipulation algorithm for ALE calculations in screw compressors
CN102722656A (en) Fit clearance leakage characteristics forecasting method of precise couple based on multi-dimensional model
Li et al. Change in oil pressure in piston chamber of a radial piston pump pre-compression area when considering the compressibility of oil
Wang et al. Pressure impact characteristic of vane type continuous rotary motor under different buffer structures
CN103745030A (en) Method for calculating aerodynamic force of eccentric drum with labyrinth seal
Chu et al. Research on unsteady aerodynamic performance of last stage for low pressure cylinder of steam turbine
CN111911423B (en) Centrifugal pump impeller limit outer diameter measuring and optimizing method based on PIV

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

Granted publication date: 20190426

Termination date: 20200321

CF01 Termination of patent right due to non-payment of annual fee