CN111633286A - Method for measuring and verifying high-speed internal thread grinding force - Google Patents

Method for measuring and verifying high-speed internal thread grinding force Download PDF

Info

Publication number
CN111633286A
CN111633286A CN202010431128.9A CN202010431128A CN111633286A CN 111633286 A CN111633286 A CN 111633286A CN 202010431128 A CN202010431128 A CN 202010431128A CN 111633286 A CN111633286 A CN 111633286A
Authority
CN
China
Prior art keywords
grinding
internal thread
force
measuring
tangential force
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.)
Granted
Application number
CN202010431128.9A
Other languages
Chinese (zh)
Other versions
CN111633286B (en
Inventor
张兆晶
侍威
豆永强
郑继贵
黄玉平
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.)
Beijing Research Institute of Precise Mechatronic Controls
Original Assignee
Beijing Research Institute of Precise Mechatronic Controls
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 Beijing Research Institute of Precise Mechatronic Controls filed Critical Beijing Research Institute of Precise Mechatronic Controls
Priority to CN202010431128.9A priority Critical patent/CN111633286B/en
Publication of CN111633286A publication Critical patent/CN111633286A/en
Application granted granted Critical
Publication of CN111633286B publication Critical patent/CN111633286B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23GTHREAD CUTTING; WORKING OF SCREWS, BOLT HEADS, OR NUTS, IN CONJUNCTION THEREWITH
    • B23G1/00Thread cutting; Automatic machines specially designed therefor
    • B23G1/36Thread cutting; Automatic machines specially designed therefor by grinding
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01LMEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L5/00Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Constituent Portions Of Griding Lathes, Driving, Sensing And Control (AREA)

Abstract

The invention relates to a method for measuring and verifying high-speed internal thread grinding force, belonging to the technical field of grinding force measurement; step one, establishing a grinding tangential force measuring system; step two, measuring the grinding tangential force of the internal thread to obtain the grinding tangential force of the measured internal thread; step three, establishing a grinding radial force measuring system; measuring the grinding radial force of the internal thread to obtain the grinding radial force of the measured internal thread; step five, calculating the interference volume of plane grinding, the interference volume of external thread grinding and the interference volume of internal thread grinding; step six, verifying the measured value of the internal thread grinding tangential force in the step two and the measured value of the internal thread grinding radial force in the step four respectively; the invention effectively improves the precision and the accuracy, reduces the data processing difficulty and provides data support for researching the grinding mechanism of high-speed internal thread grinding.

Description

Method for measuring and verifying high-speed internal thread grinding force
Technical Field
The invention belongs to the technical field of grinding force measurement, and relates to a method for measuring and verifying high-speed internal thread grinding force.
Background
The existing measuring mode mainly aims at flat grinding or cylindrical grinding: the workpiece, the three-component dynamometer and the machine tool are connected and fixed, and the grinding force is decomposed according to the coordinate system of the three-component dynamometer, so that the tangential force and the radial force are measured. However, in the process of high-speed internal thread grinding, the workpiece needs to make spiral motion relative to the machine tool, and the coordinate system of the three-component force measuring instrument and the grinding force cannot keep relatively static, so that the directions of the tangential force and the radial force are uncertain, and the difficulty of data processing is increased. Meanwhile, the grinding force of the internal thread is usually small, so that the signal to noise ratio is low during data processing, and the error interference is large.
Disclosure of Invention
The technical problem solved by the invention is as follows: the method overcomes the defects of the prior art, provides the method for measuring and verifying the grinding force of the high-speed internal thread, effectively improves the precision and the accuracy, reduces the data processing difficulty, and provides data support for researching the grinding mechanism of the high-speed internal thread grinding
The technical scheme of the invention is as follows:
a method for measuring and verifying high-speed internal thread grinding force comprises the following steps:
the method comprises the following steps of firstly, establishing a grinding tangential force measuring system which comprises a base, a torque sensor, a tangential force test workpiece, a transition shaft and a chuck;
step two, measuring the grinding tangential force of the internal thread, and measuring the grinding tangential force of the internal thread;
step three, establishing a grinding radial force measuring system which comprises a radial force testing tool, a tension and compression sensor and a testing flat plate;
measuring the grinding radial force of the internal thread, and measuring the grinding radial force of the internal thread;
step five, calculating the interference volume V of the plane grindingPExternal thread grinding interference volume VgInterference volume V with internal thread grindingn
And step six, verifying the measured value of the internal thread grinding tangential force in the step two and the measured value of the internal thread grinding radial force in the step four respectively.
In the above method for measuring and verifying the high-speed internal thread grinding force, in the first step, the method for establishing the grinding tangential force measuring system includes: the base is of a horizontally placed I-shaped structure; the torque sensor is fixedly arranged at the top of the base through a screw; the tangential force test workpiece is arranged at one axial end of the torque sensor; the tangential force test workpiece is fixedly connected with the torque sensor through a key; the transition shaft is coaxially arranged at the other axial end of the torque sensor; one axial end of the transition shaft is fixedly connected with the torque sensor through a key; the other axial end of the transition shaft is clamped by a chuck; the grinding tangential force measuring system realizes that the radial runout of the tangential force test workpiece is not more than 0.002 mm.
In the above method for measuring and verifying the high-speed internal thread grinding force, in the second step, the method for measuring the internal thread grinding tangential force includes:
s1, adjusting the position of a grinding wheel of the machine tool to align the grinding wheel to the tangential force test workpiece, wherein the rotation axis of the grinding wheel is parallel to the axis of the tangential force test workpiece;
s2, slowly feeding the grinding wheel along the radial direction, and grinding the side wall of the tangential force test workpiece; meanwhile, the chuck drives the tangential force test workpiece to rotate through the transition shaft;
and S3, measuring the torque of the tangential force test workpiece and the grinding wheel of the machine tool through the torque sensor, and dividing the torque by the radius of the tangential force test workpiece to obtain the tangential force for grinding the internal thread.
In the method for measuring and verifying the high-speed internal thread grinding force, in step two, in S2, the grinding linear speed of the grinding wheel is 80 m/S; the feeding speed is 1 r/min; the chuck drives the tangential force test workpiece to rotate reversely; the rotation speed is 1 revolution/min.
In the above method for measuring and verifying the high-speed internal thread grinding force, in the third step, the method for establishing the grinding radial force measuring system includes:
the radial force test tool is fixedly arranged on the plane of the machine tool; the tension and compression sensor is fixedly arranged at the top of the radial force test tool; the test flat plate is fixedly arranged at the top of the tension and compression sensor; the grinding radial force measuring system realizes that the parallelism of the test flat plate relative to the plane reference of the machine tool is not more than 0.03 mm.
In the above method for measuring and verifying the high-speed internal thread grinding force, in the fourth step, the method for measuring the internal thread grinding radial force includes:
s1, adjusting the position of a grinding wheel of the machine tool to realize that the grinding wheel is positioned on a test flat plate;
s2, slowly feeding the grinding wheel vertically downwards to grind the upper surface of the test flat plate; meanwhile, the grinding wheel horizontally moves along the long side direction of the test flat plate;
s3, the direct measurement of the stress of the test flat plate along the vertical direction is realized through the tension and compression sensor, namely the radial force of the internal thread grinding is obtained.
In the method for measuring and verifying the high-speed internal thread grinding force, in step four, in S2, the downward feeding speed of the grinding wheel is 2 μm/min; the linear velocity of the grinding wheel is 80 m/s; the horizontal moving speed of the grinding wheel is 10 mm/min.
In the method for measuring and verifying the high-speed internal thread grinding force, in the fifth step, the interference volume V of the plane grindingPThe calculation method comprises the following steps:
Figure BDA0002500637920000031
in the formula, k is a grinding width;
r is the grinding wheel radius;
apis the grinding depth;
the grinding wheel interference volume Vw of the external thread grinding is as follows:
Figure BDA0002500637920000032
wherein a is r2-r1+ap;
Figure BDA0002500637920000033
Figure BDA0002500637920000034
Figure BDA0002500637920000035
t is an integral variable;
r1the maximum radius of the grinding wheel;
r2is the workpiece radius;
theta is a tooth-shaped half angle of the section of the grinding wheel;
internal thread grinding interference volume VnThe calculation method comprises the following steps:
Figure BDA0002500637920000041
wherein a ═ r2-r1+ap;
Figure BDA0002500637920000042
Figure BDA0002500637920000043
Figure BDA0002500637920000044
r1The maximum radius of the grinding wheel;
r2is the workpiece radius;
theta is a tooth-shaped half angle of the section of the grinding wheel;
t is an integral variable.
In the method for measuring and verifying the high-speed internal thread grinding force, in the sixth step, the method for verifying the measured value of the internal thread grinding tangential force comprises the following steps:
the calculated internal thread grinding interference volume VnSubstituting into the calculation formula of the grinding wheel interference volume Vw of the external thread grinding, and reversely calculating r in the grinding wheel interference volume formula of the external thread grinding, and recording as a first equivalent radius
Figure BDA0002500637920000045
The first equivalent radius
Figure BDA0002500637920000046
Substituting the grinding force theoretical calculation model to calculate a first theoretical internal thread grinding tangential force; and comparing the first theoretical internal thread grinding tangential force with the measured internal thread grinding tangential force to finish verification.
In the method for measuring and verifying the high-speed internal thread grinding force, in the sixth step, the method for verifying the measured value of the internal thread grinding radial force comprises the following steps:
the calculated internal thread grinding interference volume VnInterference volume V substituted for plane grindingPIn the calculation formula (2), r in the interference volume formula of the plane grinding is reversely calculated and is recorded as a second equivalent radius
Figure BDA0002500637920000051
Second equivalent radius
Figure BDA0002500637920000052
Substituting the grinding force theoretical calculation model to calculate a second theoretical internal thread grinding radial force; and comparing the second theoretical internal thread grinding radial force with the measured internal thread grinding radial force to finish verification.
Compared with the prior art, the invention has the beneficial effects that:
(1) the modeling method is used for modeling the high-speed internal thread grinding, has higher pertinence compared with the existing model, and reflects the characteristic of the high-speed internal thread grinding;
(2) the invention measures the radial force based on the tension and compression sensor, thereby simplifying the test operation while ensuring the measurement accuracy;
(3) the invention adopts the torque sensor to measure the tangential force, thereby avoiding the error introduced by data processing means such as coordinate system conversion and the like.
Drawings
FIG. 1 is a flow chart of the grinding force measurement and verification of the present invention;
FIG. 2 is a schematic view of a grinding tangential force measurement system of the present invention;
FIG. 3 is a schematic view of a grinding radial force measurement system of the present invention;
fig. 4 is a schematic comparison of face grinding, female thread grinding and male thread grinding.
Detailed Description
The invention is further illustrated by the following examples.
The invention provides a method for measuring and verifying high-speed internal thread grinding force, which utilizes a pressure sensor to measure the radial force of high-speed internal thread grinding through an equivalent substitution experiment; and measuring the tangential force of the high-speed internal thread grinding by using a torque sensor. The precision and the accuracy are effectively improved, the data processing difficulty is reduced, and data support is provided for researching a grinding mechanism of high-speed internal thread grinding.
As shown in fig. 1, the method for measuring and verifying the high-speed internal thread grinding force specifically comprises the following steps:
step one, establishing a grinding tangential force measuring system, as shown in fig. 2, comprising a base 1, a torque sensor 2, a tangential force test workpiece 3, a transition shaft 4 and a chuck 5; the establishment method of the grinding tangential force measurement system comprises the following steps: the base 1 is in a horizontally placed I-shaped structure; the torque sensor 2 is fixedly arranged on the top of the base 1 through a screw; the tangential force test workpiece 3 is arranged at one axial end of the torque sensor 2; the tangential force test workpiece 3 is fixedly connected with the torque sensor 2 through a key; the transition shaft 4 is coaxially arranged at the other axial end of the torque sensor 2; one axial end of the transition shaft 4 is fixedly connected with the torque sensor 2 through a key; the other axial end of the transition shaft 4 is clamped by a chuck 5; the grinding tangential force measuring system realizes that the radial runout of the tangential force test workpiece 3 is not more than 0.002 mm. Before the start of the measurement test, the individual components are mounted according to fig. 2: the test workpiece is connected with the torque sensor through a key and is fixed through a bolt in the axial direction; the torque sensor and the base are fixed on the testing machine tool through screws, the transition shaft is connected with the torque sensor through a key, and the transition shaft is clamped by a chuck on the machine tool. In the installation process, the radial runout of the test workpiece is required to be ensured not to be larger than 0.002 mm. After the test is started, the rotation axis of the grinding wheel of the machine tool is parallel to the test workpiece, and the machine tool is slowly fed in the radial direction to grind the side surface of the test workpiece. And the machine tool chuck drives the test workpiece to axially rotate according to the requirement of high-speed internal thread grinding. The grinding wheel keeps a certain linear velocity according to the process requirement of high-speed internal thread grinding, the interaction force of the test workpiece and the grinding wheel is transmitted to the axle center of the sensor through key connection, and the torque borne by the axle center is used as direct measurement. And dividing the torque by the radius of the test workpiece to obtain the grinding tangential force. Because the amplitude of the grinding force is small, in order to ensure the accuracy of a direct measurement value, the radius of a test workpiece is required to be as large as possible.
Step two, measuring the grinding tangential force of the internal thread, and measuring the grinding tangential force of the internal thread; the method for measuring the grinding tangential force of the internal thread comprises the following steps:
s1, adjusting the position of the grinding wheel of the machine tool to align the grinding wheel to the tangential force test workpiece 3, wherein the rotation axis of the grinding wheel is parallel to the axis of the tangential force test workpiece 3.
S2, slowly feeding the grinding wheel along the radial direction, and grinding the side wall of the tangential force test workpiece 3; meanwhile, the chuck 5 drives the tangential force test workpiece 3 to rotate through the transition shaft 4; the grinding linear speed of the grinding wheel is 80 m/s; the feeding speed is 1 r/min; the chuck 5 drives the tangential force test workpiece 3 to rotate reversely; the rotation speed is 1 revolution/min.
And S3, measuring the torque of the tangential force test workpiece 3 and the grinding wheel of the machine tool through the torque sensor 2, and dividing the torque by the radius of the tangential force test workpiece 3 to obtain the internal thread grinding tangential force.
Step three, establishing a grinding radial force measuring system, as shown in fig. 3, comprising a radial force test tool 6, a tension and compression sensor 7 and a test flat plate 8; the establishment method of the grinding radial force measurement system comprises the following steps:
the radial force test tool 6 is fixedly arranged on the plane of the machine tool; the tension and compression sensor 7 is fixedly arranged at the top of the radial force test tool 6; the test flat plate 8 is fixedly arranged at the top of the tension and compression sensor 7; the grinding radial force measuring system realizes that the parallelism of the test flat plate 8 relative to the plane reference of the machine tool is not more than 0.03 mm. Before the start of the measurement test, the individual components are mounted according to fig. 3: the radial force test tool is fixedly connected with a machine tool through a screw, the tension and compression sensor is fixedly connected with the tool, and the test flat plate is fixedly connected with the sensor. In the installation process, the parallelism of the test flat plate to the plane reference of the machine tool needs to be ensured not to be more than 0.03 mm. After the test is started, the grinding wheel keeps a certain linear speed and the feeding amount in the vertical direction according to the technological requirements of high-speed internal thread grinding, the grinding wheel moves along the long edge of the test flat plate, and the interaction force of the test workpiece and the grinding wheel in the vertical direction is directly transmitted to the tension-compression sensor to be used as direct measurement.
Measuring the grinding radial force of the internal thread, and measuring the grinding radial force of the internal thread; the method for measuring the grinding radial force of the internal thread comprises the following steps:
s1, adjusting the position of the grinding wheel of the machine tool to realize that the grinding wheel is positioned on the test flat plate 8;
s2, slowly feeding the grinding wheel vertically downwards to grind the upper surface of the test flat plate 8; meanwhile, the grinding wheel horizontally moves along the long side direction of the test flat plate 8; the downward feeding speed of the grinding wheel is 2 mu m/min; the linear velocity of the grinding wheel is 80 m/s; the horizontal moving speed of the grinding wheel is 10 mm/min.
S3, the stress of the test flat plate 8 along the vertical direction is directly measured through the tension and compression sensor 7, and the measured stress is the radial force of internal thread grinding.
Step five, in order to compare with the plane grinding, the direct measurement quantity needs to be correspondingly converted, and as shown in fig. 4, a comparison graph of the plane grinding, the internal thread grinding and the external thread grinding is shown. According to the grinding principle, the grinding force is related to the rotating speed of the grinding wheel, the relative speed of the workpiece and the grinding wheel, the grinding depth, the diameter of the workpiece and the diameter of the grinding wheel, and in the test, the rotating speed of the grinding wheel, the relative speed of the workpiece and the grinding wheel and the grinding depth are given, so that the comparison of the grinding force is converted into the comparison of the diameter of the grinding wheel. Calculating interference volume V of flat grindingPExternal thread grinding interference volume VgInterference volume V with internal thread grindingn(ii) a Interference volume V for face grindingPThe calculation method comprises the following steps:
Figure BDA0002500637920000071
in the formula, k is a grinding width;
r is the grinding wheel radius;
apis the grinding depth;
the grinding wheel interference volume Vw of the external thread grinding is as follows:
Figure BDA0002500637920000081
wherein a is r2-r1+ap;
Figure BDA0002500637920000082
Figure BDA0002500637920000083
Figure BDA0002500637920000084
t is an integral variable;
r1the maximum radius of the grinding wheel;
r2is the workpiece radius;
theta is a tooth-shaped half angle of the section of the grinding wheel;
internal thread grinding interference volume VnThe calculation method comprises the following steps:
Figure BDA0002500637920000085
wherein a ═ r2-r1+ap;
Figure BDA0002500637920000086
Figure BDA0002500637920000087
Figure BDA0002500637920000088
r1The maximum radius of the grinding wheel;
r2is the workpiece radius;
theta is a tooth-shaped half angle of the section of the grinding wheel;
t is an integral variable.
And step six, verifying the measured value of the internal thread grinding tangential force in the step two and the measured value of the internal thread grinding radial force in the step four respectively.
The method for verifying the measured value of the tangential force of the internal thread grinding comprises the following steps:
the calculated internal thread grinding interference volume VnSubstituting into the calculation formula of the grinding wheel interference volume Vw of the external thread grinding, and reversely calculating r in the grinding wheel interference volume formula of the external thread grinding, and recording as a first equivalent radius
Figure BDA0002500637920000091
The first equivalent radius
Figure BDA0002500637920000092
Substituting the grinding force theoretical calculation model to calculate a first theoretical internal thread grinding tangential force; and comparing the first theoretical internal thread grinding tangential force with the measured internal thread grinding tangential force to finish verification.
The method for verifying the measured value of the radial force of the internal thread grinding comprises the following steps:
the calculated internal thread grinding interference volume VnInterference volume V substituted for plane grindingPIn the calculation formula (2), r in the interference volume formula of the plane grinding is reversely calculated and is recorded as a second equivalent radius
Figure BDA0002500637920000093
Second equivalent radius
Figure BDA0002500637920000094
Substituting into the grinding force theoretical calculation model to calculate the second theoryGrinding radial force of the thread; and comparing the second theoretical internal thread grinding radial force with the measured internal thread grinding radial force to finish verification.
Although the present invention has been described with reference to the preferred embodiments, it is not intended to limit the present invention, and those skilled in the art can make variations and modifications of the present invention without departing from the spirit and scope of the present invention by using the methods and technical contents disclosed above.

Claims (10)

1. A method for measuring and verifying the grinding force of high-speed internal threads is characterized by comprising the following steps: the method comprises the following steps:
the method comprises the following steps of firstly, establishing a grinding tangential force measuring system which comprises a base (1), a torque sensor (2), a tangential force test workpiece (3), a transition shaft (4) and a chuck (5);
step two, measuring the grinding force of the internal thread to obtain the grinding tangential force of the measured internal thread;
step three, establishing a grinding radial force measuring system which comprises a radial force testing tool (6), a tension and compression sensor (7) and a testing flat plate (8);
measuring the grinding radial force of the internal thread to obtain the grinding radial force of the measured internal thread;
step five, calculating the interference volume V of the plane grindingPExternal thread grinding interference volume VgInterference volume V with internal thread grindingn
And step six, verifying the measured value of the internal thread grinding tangential force in the step two and the measured value of the internal thread grinding radial force in the step four respectively.
2. The method for measuring and verifying the grinding force of the internal thread at a high speed according to claim 1, wherein: in the first step, the method for establishing the grinding tangential force measuring system comprises the following steps: the base (1) is of a horizontally placed I-shaped structure; the torque sensor (2) is fixedly arranged on the top of the base (1) through a screw; the tangential force test workpiece (3) is arranged at one axial end of the torque sensor (2); the tangential force test workpiece (3) is fixedly connected with the torque sensor (2) through a key; the transition shaft (4) is coaxially arranged at the other axial end of the torque sensor (2); one axial end of the transition shaft (4) is fixedly connected with the torque sensor (2) through a key; the other axial end of the transition shaft (4) is clamped by a chuck (5); the grinding tangential force measuring system realizes that the radial runout of the tangential force test workpiece (3) is not more than 0.002 mm.
3. The method for measuring and verifying the high-speed internal thread grinding force according to claim 2, wherein: in the second step, the method for measuring the grinding tangential force of the internal thread comprises the following steps:
s1, adjusting the position of a grinding wheel of the machine tool to align the grinding wheel to the tangential force test workpiece (3), wherein the rotation axis of the grinding wheel is parallel to the axis of the tangential force test workpiece (3);
s2, slowly feeding the grinding wheel along the radial direction, and grinding the side wall of the tangential force test workpiece (3); meanwhile, the chuck (5) drives the tangential force test workpiece (3) to rotate through the transition shaft (4);
s3, measuring the torque of the tangential force test workpiece (3) and the grinding wheel of the machine tool through the torque sensor (2), and dividing the torque by the radius of the tangential force test workpiece (3) to obtain the internal thread grinding tangential force.
4. The method for measuring and verifying the grinding force of the internal thread at a high speed according to claim 3, wherein: in the step two, in S2, the grinding linear speed of the grinding wheel is 80 m/S; the feeding speed is 1 r/min; the chuck (5) drives the tangential force test workpiece (3) to rotate reversely; the rotation speed is 1 revolution/min.
5. The method for measuring and verifying the grinding force of the internal thread at a high speed according to claim 4, wherein: in the third step, the establishment method of the grinding radial force measurement system comprises the following steps:
the radial force test tool (6) is fixedly arranged on the plane of the machine tool; the tension and compression sensor (7) is fixedly arranged at the top of the radial force test tool (6); the test flat plate (8) is fixedly arranged at the top of the tension and compression sensor (7); the grinding radial force measuring system realizes that the parallelism of the test flat plate (8) relative to the plane reference of the machine tool is not more than 0.03 mm.
6. The method for measuring and verifying the high-speed internal thread grinding force according to claim 5, wherein: in the fourth step, the method for measuring the grinding radial force of the internal thread comprises the following steps:
s1, adjusting the position of the grinding wheel of the machine tool to realize that the grinding wheel is positioned on the test flat plate (8);
s2, slowly feeding the grinding wheel vertically downwards to grind the upper surface of the test flat plate (8); meanwhile, the grinding wheel horizontally moves along the long side direction of the test flat plate (8);
s3, the stress of the test flat plate (8) along the vertical direction is directly measured through the tension and compression sensor (7), namely the stress is the radial force of internal thread grinding.
7. The method for measuring and verifying the grinding force of the internal thread at a high speed according to claim 6, wherein: in step four, in S2, the downward feeding speed of the grinding wheel is 2 mu m/min; the linear velocity of the grinding wheel is 80 m/s; the horizontal moving speed of the grinding wheel is 10 mm/min.
8. The method for measuring and verifying the grinding force of the internal thread at a high speed according to claim 7, wherein: in the fifth step, the interference volume V of the plane grindingPThe calculation method comprises the following steps:
Figure FDA0002500637910000021
in the formula, k is a grinding width;
r is the grinding wheel radius;
apis the grinding depth;
the grinding wheel interference volume Vw of the external thread grinding is as follows:
Figure FDA0002500637910000031
wherein a is r2-r1+ap;
Figure FDA0002500637910000032
Figure FDA0002500637910000033
Figure FDA0002500637910000034
t is an integral variable;
r1the maximum radius of the grinding wheel;
r2is the workpiece radius;
theta is a tooth-shaped half angle of the section of the grinding wheel;
internal thread grinding interference volume VnThe calculation method comprises the following steps:
Figure FDA0002500637910000035
wherein a ═ r2-r1+ap;
Figure FDA0002500637910000036
Figure FDA0002500637910000037
Figure FDA0002500637910000038
r1The maximum radius of the grinding wheel;
r2is the workpiece radius;
theta is a tooth-shaped half angle of the section of the grinding wheel;
t is an integral variable.
9. The method for measuring and verifying the grinding force of the internal thread at a high speed according to claim 8, wherein: in the sixth step, the method for verifying the measured value of the tangential force of the grinding of the internal thread comprises the following steps:
the calculated internal thread grinding interference volume VnSubstituting into the calculation formula of the grinding wheel interference volume Vw of the external thread grinding, and reversely calculating r in the grinding wheel interference volume formula of the external thread grinding, and recording as a first equivalent radius
Figure FDA0002500637910000041
The first equivalent radius
Figure FDA0002500637910000042
Substituting the grinding force theoretical calculation model to calculate a first theoretical internal thread grinding tangential force; and comparing the first theoretical internal thread grinding tangential force with the measured internal thread grinding tangential force to finish verification.
10. The method for measuring and verifying the grinding force of the internal thread at a high speed according to claim 9, wherein: in the sixth step, the method for verifying the measured value of the radial force of the internal thread grinding comprises the following steps:
the calculated internal thread grinding interference volume VnInterference volume V substituted for plane grindingPIn the calculation formula (2), r in the interference volume formula of the plane grinding is reversely calculated and is recorded as a second equivalent radius
Figure FDA0002500637910000043
Second equivalent radius
Figure FDA0002500637910000044
Substituting the grinding force theoretical calculation model to calculate a second theoretical internal thread grinding radial force; grinding radial force of the second theoretical internal thread and measuring the grinding radial direction of the internal threadAnd comparing the forces to finish verification.
CN202010431128.9A 2020-05-20 2020-05-20 Method for measuring and verifying high-speed internal thread grinding force Active CN111633286B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202010431128.9A CN111633286B (en) 2020-05-20 2020-05-20 Method for measuring and verifying high-speed internal thread grinding force

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202010431128.9A CN111633286B (en) 2020-05-20 2020-05-20 Method for measuring and verifying high-speed internal thread grinding force

Publications (2)

Publication Number Publication Date
CN111633286A true CN111633286A (en) 2020-09-08
CN111633286B CN111633286B (en) 2021-06-11

Family

ID=72324781

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202010431128.9A Active CN111633286B (en) 2020-05-20 2020-05-20 Method for measuring and verifying high-speed internal thread grinding force

Country Status (1)

Country Link
CN (1) CN111633286B (en)

Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB1395566A (en) * 1971-10-01 1975-05-29 Reishauer Ag Mating and sizing control for thread grinding machine
CN203459777U (en) * 2013-08-27 2014-03-05 广东顶固集创家居股份有限公司 Numerical control internal thread grinding combined-machining system
CN103753395A (en) * 2013-12-26 2014-04-30 西安交通大学 Grinding force sensor and measuring method thereof
CN106217257A (en) * 2016-07-26 2016-12-14 佛山职业技术学院 The measurement of a kind of grinding machine, method for grinding
CN108897955A (en) * 2018-07-01 2018-11-27 北京工业大学 A kind of high speed internal screw thread grinding force calculation method considering lead angle and abrasive grain overlap coefficient
CN109968198A (en) * 2019-03-28 2019-07-05 北京工业大学 A kind of measuring device of internal screw thread grinding force
CN110807263A (en) * 2019-11-07 2020-02-18 河北工业大学 Grinding force prediction method and prediction system for grinding of cup-shaped grinding wheel curved surface

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB1395566A (en) * 1971-10-01 1975-05-29 Reishauer Ag Mating and sizing control for thread grinding machine
CN203459777U (en) * 2013-08-27 2014-03-05 广东顶固集创家居股份有限公司 Numerical control internal thread grinding combined-machining system
CN103753395A (en) * 2013-12-26 2014-04-30 西安交通大学 Grinding force sensor and measuring method thereof
CN106217257A (en) * 2016-07-26 2016-12-14 佛山职业技术学院 The measurement of a kind of grinding machine, method for grinding
CN108897955A (en) * 2018-07-01 2018-11-27 北京工业大学 A kind of high speed internal screw thread grinding force calculation method considering lead angle and abrasive grain overlap coefficient
CN109968198A (en) * 2019-03-28 2019-07-05 北京工业大学 A kind of measuring device of internal screw thread grinding force
CN110807263A (en) * 2019-11-07 2020-02-18 河北工业大学 Grinding force prediction method and prediction system for grinding of cup-shaped grinding wheel curved surface

Also Published As

Publication number Publication date
CN111633286B (en) 2021-06-11

Similar Documents

Publication Publication Date Title
CN103018104B (en) Horizontal measuring device for axial static rigidity of ball screw pair and method thereof
CN106556367B (en) Rotation error measuring device of aerostatic main shaft
CN102192721B (en) A kind of automobile engine cylinder-body online detection instrument
CN201193942Y (en) Cylinder measuring apparatus
CN201811840U (en) Single-flank meshing tester for micron gear error
CN102944472A (en) Device and method for measuring axial static rigidity of ball screw pair
CN103453870A (en) Automatic detection device of dimensional accuracy of bearing
CN110514119B (en) Gear overall error measuring device and method based on double circular gratings
CN105115422B (en) Non-contact wheel multifunctional examining examining system
CN101769714B (en) Differential pressure type flowmeter orifice detector and detecting method thereof
CN107598194B (en) Machine tool spindle test run platform capable of simulating working condition
CN202886083U (en) Analytic system for dynamic virtual vibration testing of high-speed spindle
CN204085362U (en) Fly wheel assembly is beated comprehensive check tool
CN111633286B (en) Method for measuring and verifying high-speed internal thread grinding force
CN109187330B (en) Method for measuring friction coefficient under variable working condition
CN214250916U (en) Shaft part measuring device with center hole as axis reference
CN105783832B (en) A kind of method that cartridge type part outside diameter in spinning process is measured using on-line measuring device
CN114608484A (en) Method and device for measuring inclination angle error of spindle based on PSD (phase-sensitive Detector)
CN112264837B (en) Cradle type five-axis numerical control machine tool swing table static rigidity detection device and method thereof
CN110411634B (en) Device and method for measuring grinding force of spherical basal plane of conical roller
CN112344885A (en) Step shaft flatness detection device and flatness detection method thereof
CN111397469A (en) System and method for detecting errors and dynamics of profile of cylindrical intermittent cam
CN110567731B (en) Double-rotation brake performance tester inspection bench
CN111380483A (en) Internal combustion engine camshaft outline detector and detection method
CN109968202A (en) A kind of grinding wheel diameter and profile On-machine Test device and method

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant