WO2021088249A1 - 一种刀具复杂容屑槽磨制砂轮轨迹确定方法 - Google Patents
一种刀具复杂容屑槽磨制砂轮轨迹确定方法 Download PDFInfo
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- WO2021088249A1 WO2021088249A1 PCT/CN2020/071727 CN2020071727W WO2021088249A1 WO 2021088249 A1 WO2021088249 A1 WO 2021088249A1 CN 2020071727 W CN2020071727 W CN 2020071727W WO 2021088249 A1 WO2021088249 A1 WO 2021088249A1
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- grinding wheel
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- core diameter
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P70/00—Climate change mitigation technologies in the production process for final industrial or consumer products
- Y02P70/10—Greenhouse gas [GHG] capture, material saving, heat recovery or other energy efficient measures, e.g. motor control, characterised by manufacturing processes, e.g. for rolling metal or metal working
Definitions
- the invention relates to a method for determining the track of a grinding wheel, and more specifically, to a method for determining the track of a grinding wheel for grinding a complex chip flute of a tool.
- the complex chip flute of the tool means that its rake angle, core diameter, groove width, helix angle and other structural parameters change along the tool axis, which can effectively improve the tool rigidity, strength, and cutting performance. It is widely used in high-end solid end mills. .
- the grinding of complex chip flutes faces many difficulties: First, the geometric structure of the complex chip flutes is determined by the shape of the grinding wheel and the motion trajectory.
- the object of the present invention is to provide a method for determining the path of a grinding wheel for grinding a complex chip flute of a tool, which can be applied to the grinding process of a complex chip flute of a tool, and has high accuracy and reliability.
- the present invention provides a method for determining the path of a grinding wheel for complex chip flutes of a tool, which includes the following steps:
- step (2) :
- i 1, 2, 3, 4 respectively represent the cutting edge curve, rake angle, core diameter line and tooth back line used to describe the complex chip flute
- x si , y si , z si are respectively the knife edge curve and front
- ⁇ i is the variable describing the parameter equation of the blade curve, the rake angle line, the core diameter line and the tooth back line.
- the distance between r s2 and r s1 is less than 0.05DT, and the distance between r s3 and the tool axis is less than the distance between r s1 , r s2 or r s4 and the tool axis.
- step (3) the steps of establishing the wheel radius constraint equation fcon1 in step (3) are:
- x ow , y ow , z ow are the coordinate values in the tool coordinate system of the center of the circle that intersects with the cutting edge curve, rake angle, and core diameter at time t, and ⁇ 1_t is the grinding wheel blade at time t
- ⁇ 2 , ⁇ 3 are the variables of the rake angle and core diameter parameter equations respectively;
- R wc R wc ( ⁇ 1_t , ⁇ 2 , ⁇ 3 )
- R wc is the radius of the circle that intersects the blade curve, rake angle, and core diameter at the same time at t;
- x nw , y nw , z nw are the coordinate values in the tool coordinate system of the axis vector of the circle that simultaneously intersects the blade curve, rake angle, and core diameter line at time t;
- R w is the radius of the large end circle of the grinding wheel, and R w ⁇ 15DT.
- step (4) the steps of establishing the position of the grinding wheel at time t to solve the objective function are:
- d axis d axis ( ⁇ 1_t , ⁇ 2 , ⁇ 3 , ⁇ 4 )
- d plane d plane ( ⁇ 1_t , ⁇ 2 , ⁇ 3 , ⁇ 4 )
- d GW d axis -d plane /tan( ⁇ w )
- ⁇ w is the cone angle of the grinding wheel, ⁇ /2 ⁇ w > ⁇ /6;
- the step (5) to obtain the position of the grinding wheel at time t is: according to the equation f con1 in step (3) and the position of the grinding wheel in step (4) to solve the objective function, the solution to obtain the corresponding blade curve and rake angle at time t
- the line, core diameter and tooth back line parameters ⁇ 1_t , ⁇ 2_t , ⁇ 3_t , ⁇ 4_t , and ⁇ 1_t , ⁇ 2_t , ⁇ 3_t are brought into step (3) in the wheel radius constraint equation f con1 , and the time t is obtained by solving
- the parameter values ⁇ 1_t , ⁇ 2_t , ⁇ 3_t , ⁇ 4_t corresponding to time t are greater than or equal to the parameter values corresponding to the previous time.
- the grinding wheel selects 1A1 type or 1V1 type diamond grinding wheel, the diameter of the grinding wheel is 100mm ⁇ 200mm.
- FIG. 1 is a flowchart of this method
- Figure 2 is a schematic diagram of the shape of the grinding wheel
- Figure 3 is a schematic diagram of the posture of the grinding wheel
- Figure 4 is a three-dimensional schematic diagram of the grinding results of complex chip flutes with gradual core diameter, equal rake angle, equal groove width, and equal helix angle;
- Fig. 5 is a projection view of the grinding result of complex chip flutes with constant rake angle, equal groove width and equal helix angle of gradual core diameter on the X T -Y T coordinate plane.
- x ow , y ow , z ow are the coordinate values in the tool coordinate system of the center of the circle that intersects with the cutting edge curve, rake angle, and core diameter at time t, and ⁇ 1_t is the grinding wheel blade at time t The parameter value of a point on the curve;
- R wc R wc ( ⁇ 1_t , ⁇ 2 , ⁇ 3 )
- R wc is the radius of the circle that intersects the blade curve, rake angle, and core diameter at the same time at t;
- x nw , y nw , z nw are the coordinate values in the tool coordinate system of the axis vector of the circle that simultaneously intersects the blade curve, rake angle, and core diameter line at time t;
- R w is the radius of the large end circle of the grinding wheel
- d axis d axis ( ⁇ 1_t , ⁇ 2 , ⁇ 3 , ⁇ 4 )
- d plane d plane ( ⁇ 1_t , ⁇ 2 , ⁇ 3 , ⁇ 4 )
- d GW d axis -d plane /tan( ⁇ w )
- ⁇ w is the cone angle of the grinding wheel
- the parameters ⁇ 1_t , ⁇ 2_t , ⁇ 3_t , ⁇ corresponding to time t are solved by solving 4_t , take ⁇ 1_t , ⁇ 2_t , ⁇ 3_t into the formulas r ow and n w in step (3), and solve to obtain the position of the grinding wheel at time t.
- the position of the grinding wheel is shown in Figure 3;
- r s1 , r s2 , r s3 , and r s4 are the curves that control the cutting edge, rake angle, core diameter, and groove width of the tool. 4. It can be seen from Figure 5 that the plane perpendicular to the tool axis is used to intercept the shape of the chip flute at 3 positions 5mm, 10mm, and 15mm away from the tool tip, and the rake angle and groove width along the tool axis remain unchanged, while the core Chip flutes with changing diameters.
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- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Geometry (AREA)
- General Physics & Mathematics (AREA)
- Evolutionary Computation (AREA)
- General Engineering & Computer Science (AREA)
- Computer Hardware Design (AREA)
- Computational Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Grinding And Polishing Of Tertiary Curved Surfaces And Surfaces With Complex Shapes (AREA)
- Finish Polishing, Edge Sharpening, And Grinding By Specific Grinding Devices (AREA)
- Numerical Control (AREA)
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JP2021504215A JP7089134B2 (ja) | 2019-11-08 | 2020-01-13 | 工具の複雑なチップポケット研磨による砥石軌跡の決定方法 |
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CN201911085911.8A CN110990966B (zh) | 2019-11-08 | 2019-11-08 | 一种刀具复杂容屑槽磨制砂轮轨迹确定方法 |
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CN113962040A (zh) * | 2021-10-22 | 2022-01-21 | 西南交通大学 | 一种立铣刀周齿分屑槽砂轮磨削轨迹计算方法 |
CN114036661A (zh) * | 2021-10-29 | 2022-02-11 | 哈尔滨工业大学 | 一种基于磨削运动分析和螺旋理论的球头砂轮主轴倾角和转角优选方法 |
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CN110990966B (zh) | 2023-08-22 |
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