CN110569586A - Planetary roller screw pair precision thread cutting modeling method - Google Patents
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- 238000005299 abrasion Methods 0.000 claims abstract description 13
- 238000005482 strain hardening Methods 0.000 claims description 8
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Abstract
The invention relates to the technical field of thread cutting modeling simulation, and discloses a precise thread cutting modeling method for a planetary roller screw pair. The method comprises the following steps: establishing a simplified finite element model for three-dimensional cutting of workpiece threads and cutters; for the finite element model, based on the relevant parameters of the workpiece material and the reference room temperature TtDetermining equivalent plastic stress of workpiece materialDetermining the cutter rake face friction stress tau in the cutting process aiming at the finite element model; aiming at the finite element model, based on the positive pressure p of the cutter, the sliding speed V of the workpiece material relative to the cutter and the absolute temperature T of the cutter face of the cuttersDetermining the wear depth W of the cutter; based on equivalent plastic stress of workpiece materialrelationship curve of cutting force, cutting temperature and tool abrasion is established by tool rake face friction stress tau and tool abrasion depth W. Therefore, reference can be provided for selecting accurate cutting parameters in actual machining according to the relation curve, so that the cutting process flow can be optimized, the process complexity is reduced, and the machining efficiency and precision of the precise thread are improved.
Description
Technical Field
The invention relates to the technical field of thread cutting modeling simulation, in particular to a precise thread cutting modeling method for a planetary roller screw pair.
Background
The planetary roller screw pair is a novel precise transmission mechanism capable of replacing a ball screw pair, is a key core component of a new generation of servo system, and has the functions of converting the rotary motion of a servo motor into the linear motion of the servo mechanism, converting the torque of the motor into the thrust of the servo mechanism and pushing a load to move so as to meet the requirement of the output characteristic of the servo mechanism. Compared with the traditional ball screw pair, the planetary roller screw pair has the outstanding advantages of high bearing capacity, high rigidity, high precision, high efficiency, large transmission ratio, high reliability, long service life, severe environment resistance and the like.
The planetary roller screw pair part comprises a screw rod, a roller and a nut, the parts are made of high-hardness materials, and the machining difficulty is mainly precise thread machining. The planet roller screw pair parts adopt precision grinding processing at home and abroad due to the material, structural characteristics and precision requirements. The precision grinding affects the thread machining precision due to the inevitable problems of high main shaft rotating speed, grinding wheel threshing and the like. Therefore, a method for improving the precision thread cutting efficiency and precision is required for a planetary roller screw pair thread with high precision and a small pitch.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, provides a precise thread cutting modeling method for a planetary roller screw pair, and can solve the problem of low thread machining precision in the prior art.
The technical solution of the invention is as follows: a precise thread cutting modeling method for a planetary roller screw pair comprises the following steps:
Establishing a simplified finite element model for three-dimensional cutting of workpiece threads and cutters;
For the finite element model, based on the workpiece material related parameters and the reference room temperature TtDetermining equivalent plastic stress of workpiece material
Determining the frictional stress tau of the front tool face of the cutter in the cutting process aiming at the finite element model;
Aiming at the finite element model, based on the positive pressure p of the cutter, the sliding speed V of the workpiece material relative to the cutter and the absolute temperature T of the cutter face of the cuttersDetermining the wear depth W of the cutter;
Based on equivalent plastic stress of workpiece materialAnd establishing a relation curve of cutting force, cutting temperature and tool abrasion by the tool rake face friction stress tau and the tool abrasion depth W.
Preferably, the parameters related to the material of the workpiece comprise the equivalent plastic strain rate epsilon of the material and the actual plastic strain rate epsilon of the materialReference plastic strain rate of materialTemperature T of material, melting point T of materialmthe initial yield of the material should be a, the material work hardening coefficient B, the strain rate coefficient C, the work hardening index n, and the temperature sensitivity coefficient m.
Preferably, the reference room temperature T is determined based on the workpiece material-related parameter and the reference room temperature T bytDetermining equivalent plastic stress of workpiece material
Preferably, determining the tool rake face friction stress τ during cutting comprises determining the bond region tool rake face friction stress τ and the slip region tool rake face friction stress τ.
Preferably, the bond region tool rake face friction stress τ and the slip region tool rake face friction stress τ are determined by the following formula:
Wherein μ is the coefficient of friction in the slip region, kchipViscous friction factor, σ, of the bonding areaNIs the rake face normal stress, τpThe shear strength of the workpiece material.
Preferably, the method is based on the tool positive pressure p, the sliding speed V of the workpiece material relative to the tool and the face absolute temperature T of the tool by the following formulasDetermining the tool wear depth W:
W＝∫apVe-b/Tsdt，
wherein a and b are characteristic constants.
By the technical scheme, the simplified finite element model for three-dimensional cutting of the workpiece thread and the cutter can be established, and the equivalent plastic stress of the workpiece material can be respectively determined according to the established modelThe friction stress tau of the front tool face of the tool and the wear depth W of the tool in the cutting process are determined according to the equivalent plastic stress of the workpiece materialAnd establishing a relation curve of cutting force, cutting temperature and tool abrasion by the tool rake face friction stress tau and the tool abrasion depth W. Therefore, reference can be provided for selecting accurate cutting parameters in actual machining according to the relation curve, so that the cutting process flow can be optimized, the process complexity is reduced, and the machining efficiency and precision of the precise thread are improved.
Drawings
The accompanying drawings, which are included to provide a further understanding of the embodiments of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the principles of the invention. It is obvious that the drawings in the following description are only some embodiments of the invention, and that for a person skilled in the art, other drawings can be derived from them without inventive effort.
FIG. 1 is a flow chart of a precise thread cutting modeling method for a planetary roller screw pair according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a simplified finite element model for three-dimensional cutting of workpiece threads and a tool according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a Stick-Slip friction model according to an embodiment of the present invention.
Detailed Description
Specific embodiments of the present invention will be described in detail below with reference to the accompanying drawings. In the following description, for purposes of explanation and not limitation, specific details are set forth in order to provide a thorough understanding of the present invention. However, it will be apparent to one skilled in the art that the present invention may be practiced in other embodiments that depart from these specific details.
It should be noted that, in order to avoid obscuring the present invention with unnecessary details, only the device structures and/or processing steps that are closely related to the scheme according to the present invention are shown in the drawings, and other details that are not so relevant to the present invention are omitted.
Fig. 1 is a flowchart of a precise thread cutting modeling method for a planetary roller screw pair according to an embodiment of the present invention.
As shown in fig. 1, an embodiment of the present invention provides a precise thread cutting modeling method for a planetary roller screw pair, where the method includes:
S1, establishing a workpiece thread and cutter three-dimensional cutting simplified finite element model;
S2, aiming at the finite element model, based on the relevant parameters of the workpiece material and the reference room temperature Ttdetermining equivalent plastic stress of workpiece materialFor example, establishing a constitutive model of a workpiece material to determine equivalent plastic stress of the workpiece material
S3, determining the friction stress tau of the tool rake face in the cutting process aiming at the finite element model, for example, determining the friction stress tau of the tool rake face through friction modeling between the tool and the workpiece;
s4, aiming at the finite element model, based on the positive pressure p of the cutter, the sliding speed V of the workpiece material relative to the cutter and the absolute temperature T of the cutter face of the cuttersDetermining a tool wear depth W, for example by tool wear modeling;
S5, based on equivalent plastic stress of workpiece materialand establishing a relation curve of cutting force, cutting temperature and tool abrasion by the tool rake face friction stress tau and the tool abrasion depth W.
that is, by changing parameters such as cutting speed and cutting depth, the influence rules of different cutting modes on cutting force, cutting temperature and cutter abrasion are researched, and reference is provided for selecting accurate cutting parameters in actual processing.
The relationship curve can be established in the existing manner in the prior art, and the present invention is not described herein again.
By the technical scheme, the simplified finite element model for three-dimensional cutting of the workpiece thread and the cutter can be established, and the equivalent plastic stress of the workpiece material can be respectively determined according to the established modelThe friction stress tau of the front tool face of the tool and the wear depth W of the tool in the cutting process are determined according to the equivalent plastic stress of the workpiece materialAnd establishing a relation curve of cutting force, cutting temperature and tool abrasion by the tool rake face friction stress tau and the tool abrasion depth W. Therefore, reference can be provided for selecting accurate cutting parameters in actual machining according to the relation curve, so that the cutting process flow can be optimized, the process complexity is reduced, and the machining efficiency and precision of the precise thread are improved.
Aiming at modeling of the high-speed precise hard cutting process, a theoretical model and finite element analysis can be combined, Deform software is applied to establish a PCBN cutter high-speed precise hard cutting simulation model, so that the cutting machining process is reproduced, model correction is carried out through simulation and experiment comparison, and modeling simulation precision can be improved.
For example, creating a simplified finite element model of a workpiece thread and a three-dimensional cutting tool may include:
Firstly, according to the characteristics of a thread cutting processing mode, the cutting process is simplified, and the pretreatment process is completed. The thread machining belongs to the forming cutting from the analysis of the machining mode, and the machining process can be regarded as cutting a forming groove on the surface of a workpiece along the spiral line direction. In order to reduce the amount of computation and improve the computation efficiency in the finite element analysis, the Deform software can appropriately simplify the actual model when establishing the geometric model, and only establish the region directly related to the analysis.
Then, according to the idea of finite element discrete analysis, the workpiece can be simplified into a plane by direct bending instead of curved bending, and the established simplified three-dimensional cutting model of the thread is shown in fig. 2, where fig. 2 is a schematic diagram of the simplified finite element model for three-dimensional cutting of the workpiece thread and the tool in the embodiment of the present invention.
according to one embodiment of the invention, the parameters related to the material of the workpiece comprise the equivalent plastic strain rate epsilon of the material and the actual plastic strain rate epsilon of the materialReference plastic strain rate of materialTemperature T of material, melting point T of materialmthe initial yield of the material should be a, the material work hardening coefficient B, the strain rate coefficient C, the work hardening index n, and the temperature sensitivity coefficient m.
Wherein, A, B, C, n and m are material constants, which can be obtained by quasi-static and high-speed compression tests, and the invention is not repeated herein.
According to one embodiment of the invention, the workpiece material-related parameter and the reference room temperature T are based ontDetermining equivalent plastic stress of workpiece material
In the cutting process, the processed workpiece material usually generates nonlinear elastoplastic flow under the conditions of high temperature and high strain, the strain field and the temperature field of each part in the cutting area are distributed unevenly, and the gradient changes greatly, so that in order to obtain an accurate finite element simulation result in the cutting process, the influence of factors such as strain hardening, thermal softening effect and the like needs to be comprehensively considered, and an accurate workpiece material constitutive model is established.
The equivalent plastic stress of the workpiece material can be determined by the Johnson-Cook model (i.e., as shown in equation (1)) described abovethe Johnson-Cook constitutive model is obtained by a cutting experiment, and the material is considered to be in strain hardening, strain rate strengthening and thermal softening effects under high strain rate, so that the material performance of metal under the conditions of large strain, high strain rate effect and high temperature can be better described, and the cutting processing characteristics of hard high-carbon steel materials such as GCr15 and the like can be fully reflected.
For example, the strain of the workpiece during machining can be as high as 0.5-2, with a strain rate of 103-108s-1The interface generating temperature of the tool and the chip can be as high as 1000 ℃. The strain, strain rate and temperature will affect the material flow stress, and the method can simulate the effect by regarding the mechanical and physical properties of the material as a function of temperature (the stress-strain relationship of the material under different temperatures and different strain rates).
According to one embodiment of the invention, determining the tool rake face friction stress during cutting comprises determining a bond region tool rake face friction stress τ and a slip region tool rake face friction stress τ.
According to one embodiment of the invention, the bond region tool rake face friction stress τ and the slip region tool rake face friction stress τ are determined by:
Wherein μ is the coefficient of friction in the slip region, kchipViscous friction factor, σ, of the bonding areaNIs the rake face normal stress, τpThe shear strength of the workpiece material.
The friction condition in the metal cutting process is difficult to measure, and the parameters of the friction condition are influenced by factors such as cutting speed, feed quantity, a front angle of a cutter, the pressure stress of cutting scraps and the like. During high speed cutting, the chip increases rapidly and the contact area of the chip is mainly concentrated on the rake face.
In the metal processing process, the friction characteristic between a forming turning tool and a cutting chip section is directly related to the formation of cutting chips, the service life of the cutting tool and the processing quality of a forming surface, and has important influence on cutting force and cutting heat. The Stick-Slip friction model shown in formula (2) divides the chip contact area into two areas, namely a bonding area and a Slip area, and as shown in figure 3, the frictional shear stress of the front face of the cutter in the bonding area is equal to the shear strength tau of the workpiece materialp(ii) a In the slippage area, the tool rake face frictional stress can be calculated by coulomb's law of friction.
For example, as shown in FIG. 3, the tool chip interface viscous friction factor kchipCan be 1; the slip zone coefficient of friction, μ, may be 0.6.
It will be appreciated by persons skilled in the art that the above description is illustrative only and is not intended to be limiting.
according to an embodiment of the invention, the tool positive pressure p, the sliding speed V of the workpiece material relative to the tool and the face absolute temperature T of the tool are based onsdetermining the tool wear depth W:
W＝∫apVe-b/Tsdt， (3)
Where a and b are characteristic constants (which may be determined by cutting parameters and materials).
The Uui model shown in formula (3) is suitable for continuous processes, such as metal cutting, where the main wear form is stick wear.
For example, where a is 0.000001 and b is 850.
It will be appreciated by persons skilled in the art that the above examples are illustrative only and are not intended to be limiting.
features that are described and/or illustrated above with respect to one embodiment may be used in the same way or in a similar way in one or more other embodiments and/or in combination with or instead of the features of the other embodiments.
It should be emphasized that the term "comprises/comprising" when used herein, is taken to specify the presence of stated features, integers, steps or components but does not preclude the presence or addition of one or more other features, integers, steps, components or groups thereof.
The many features and advantages of these embodiments are apparent from the detailed specification, and thus, it is intended by the appended claims to cover all such features and advantages of these embodiments which fall within the true spirit and scope thereof. Further, since numerous modifications and changes will readily occur to those skilled in the art, it is not desired to limit the embodiments of the invention to the exact construction and operation illustrated and described, and accordingly, all suitable modifications and equivalents may be resorted to, falling within the scope thereof.
The invention has not been described in detail and is in part known to those of skill in the art.
Claims (6)
1. A precise thread cutting modeling method for a planetary roller screw pair is characterized by comprising the following steps:
Establishing a simplified finite element model for three-dimensional cutting of workpiece threads and cutters;
For the finite element model, based on the workpiece material related parameters and the reference room temperature TtDetermining equivalent plastic stress of workpiece material
determining the frictional stress tau of the front tool face of the cutter in the cutting process aiming at the finite element model;
aiming at the finite element model, based on the positive pressure p of the cutter, the sliding speed V of the workpiece material relative to the cutter and the absolute temperature T of the cutter face of the cuttersDetermining the wear depth W of the cutter;
Based on equivalent plastic stress of workpiece materialAnd establishing a relation curve of cutting force, cutting temperature and tool abrasion by the tool rake face friction stress tau and the tool abrasion depth W.
2. the method of claim 1, wherein the workpiece material-related parameters include a material equivalent plastic strain rate, ε, and a material actual plastic strain ratereference plastic strain rate of materialTemperature T of material, melting point T of materialmThe initial yield of the material should be a, the material work hardening coefficient B, the strain rate coefficient C, the work hardening index n, and the temperature sensitivity coefficient m.
3. Method according to claim 2, characterized in that the workpiece material related parameter and the reference room temperature T are based ontDetermining equivalent plastic stress of workpiece material
4. The method of claim 1, wherein determining the tool rake face friction stress during cutting τ comprises determining a bond region tool rake face friction stress τ and a slip region tool rake face friction stress τ.
5. The method of claim 4, wherein the bond region tool rake face friction stress τ and the slip region tool rake face friction stress τ are determined by:
Wherein μ is the coefficient of friction in the slip region, kchipViscous friction factor, σ, of the bonding areaNIs the rake face normal stress, τpthe shear strength of the workpiece material.
6. method according to claim 1, characterized in that the tool positive pressure p, the sliding speed V of the workpiece material relative to the tool and the face absolute temperature T of the tool are based onsDetermining the tool wear depth W:
W＝∫apVe-b/Tsdt，
Wherein a and b are characteristic constants.
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Cited By (5)
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| CN112380749A (en) * | 2020-11-16 | 2021-02-19 | 深圳市威远精密技术有限公司 | Manufacturing method based on rolling wheel optimization design mathematical model |
| CN113255074A (en) * | 2021-05-20 | 2021-08-13 | 中国建筑第五工程局有限公司 | Static TBM (tunnel boring machine) and EPB (electric power steering) tool wear back analysis method based on beam-spring unit |
| CN113468690A (en) * | 2021-07-08 | 2021-10-01 | 天津商业大学 | Method for constructing thermal coupling digital twin model for cutting tooth machining and electronic equipment |
| CN113792467A (en) * | 2021-09-17 | 2021-12-14 | 福州大学 | Wear prediction method for high-speed milling ADC12 aluminum alloy cutter |
| WO2023208675A1 (en) * | 2022-04-27 | 2023-11-02 | Siemens Aktiengesellschaft | Systems and methods for computer-aided machining |
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| CN112380749A (en) * | 2020-11-16 | 2021-02-19 | 深圳市威远精密技术有限公司 | Manufacturing method based on rolling wheel optimization design mathematical model |
| CN113255074A (en) * | 2021-05-20 | 2021-08-13 | 中国建筑第五工程局有限公司 | Static TBM (tunnel boring machine) and EPB (electric power steering) tool wear back analysis method based on beam-spring unit |
| CN113255074B (en) * | 2021-05-20 | 2022-09-13 | 中国建筑第五工程局有限公司 | Static TBM & EPB cutter wear back analysis method based on beam-spring unit |
| CN113468690A (en) * | 2021-07-08 | 2021-10-01 | 天津商业大学 | Method for constructing thermal coupling digital twin model for cutting tooth machining and electronic equipment |
| CN113468690B (en) * | 2021-07-08 | 2022-07-19 | 天津商业大学 | Method for constructing thermal coupling digital twin model for gear cutting machining and electronic equipment |
| CN113792467A (en) * | 2021-09-17 | 2021-12-14 | 福州大学 | Wear prediction method for high-speed milling ADC12 aluminum alloy cutter |
| WO2023208675A1 (en) * | 2022-04-27 | 2023-11-02 | Siemens Aktiengesellschaft | Systems and methods for computer-aided machining |
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