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CN111168134A - A kind of milling cutter and design method - Google Patents

A kind of milling cutter and design method Download PDF

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Publication number
CN111168134A
CN111168134A CN202010114418.0A CN202010114418A CN111168134A CN 111168134 A CN111168134 A CN 111168134A CN 202010114418 A CN202010114418 A CN 202010114418A CN 111168134 A CN111168134 A CN 111168134A
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Prior art keywords
milling cutter
cutter
damping alloy
spline sleeve
matrix
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CN111168134B (en
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盛冬平
李晓贞
徐红丽
门艳钟
何亚峰
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Changzhou Institute of Technology
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Changzhou Institute of Technology
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23CMILLING
    • B23C5/00Milling-cutters
    • B23C5/02Milling-cutters characterised by the shape of the cutter
    • B23C5/10Shank-type cutters, i.e. with an integral shaft
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23CMILLING
    • B23C5/00Milling-cutters
    • B23C5/02Milling-cutters characterised by the shape of the cutter
    • B23C5/10Shank-type cutters, i.e. with an integral shaft
    • B23C5/109Shank-type cutters, i.e. with an integral shaft with removable cutting inserts

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Milling Processes (AREA)

Abstract

本发明提供了一种铣刀及设计方法,铣刀包括阻尼合金花键套、刀杆和刀头组件,阻尼合金花键套和刀杆之间采用过盈配合的安装方式实现力的传递,所述阻尼合金花键套安装在所述刀杆的最外层,所述阻尼合金花键套和刀杆的变形量从外侧到中心位置由大逐步变小,直至为零;铣刀设计方法包括以下步骤:获取铣刀的原始三维设计模型,设计阻尼合金花键套,确定每个参数的可变区间;通过有限元分析,获得在组合变量下铣刀的扭转刚度矩阵,以及在每个刚度值下的结构阻尼比矩阵;入耐振值参数

Figure DDA0002391019130000011
确定铣刀的最优设计方案,解决了铣刀在铣削过程中容易发生剧烈振动,容易对铣床系统造成严重损坏的问题。

Figure 202010114418

The invention provides a milling cutter and a design method. The milling cutter comprises a damping alloy spline sleeve, a cutter arbor and a cutter head assembly, and the damping alloy spline sleeve and the cutter arbor adopt the installation method of interference fit to realize the transmission of force. The damping alloy spline sleeve is installed on the outermost layer of the cutter rod, and the deformation amount of the damping alloy spline sleeve and the cutter rod gradually decreases from the outer side to the center position, until zero; milling cutter design method It includes the following steps: obtaining the original three-dimensional design model of the milling cutter, designing the damping alloy spline sleeve, and determining the variable interval of each parameter; obtaining the torsional stiffness matrix of the milling cutter under the combined variables through finite element analysis, and in each Structural damping ratio matrix at stiffness value; input vibration resistance value parameter

Figure DDA0002391019130000011
The optimal design scheme of the milling cutter is determined, which solves the problem that the milling cutter is prone to violent vibration during the milling process and is likely to cause serious damage to the milling machine system.

Figure 202010114418

Description

Milling cutter and design method
Technical Field
The invention relates to the technical field of machine tool machining, in particular to a deep hole vibration reduction milling cutter and a design method thereof.
Background
The milling cutter is a cutter commonly used in machine tool machining, is mainly used for washing and cutting plane and hole features, and structurally mainly comprises a cutter bar and a cutter head assembly, wherein in the milling process, due to the existence of milling force, milling force acts on a workpiece and also acts on the milling cutter in a reaction mode, and due to the fact that the direction of the milling force is circumferential, the load acting on the cutter in the reaction mode is a torque, the acting force and the reaction force can cause the milling cutter and the workpiece to vibrate in the milling process, and in the more serious case, the cutter vibrates, so that a milling machine system can directly generate severe vibration and strong noise, and the workpiece and the milling cutter can be seriously influenced.
In order to solve the vibration problem, two schemes are provided, wherein the first scheme is to add damping materials in the tool bit assembly so as to achieve the purpose of increasing the damping of the system structure, and the scheme obviously reduces the rigidity of the tool bit while increasing the damping, so that the tool bit is only suitable for the local parameter range of low-speed and small cutting amount in practical application; the second scheme is that a tuning vibrator is added in the cutter bar, and the vibration of the milling cutter is transferred to the tuning vibrator in the guide rod, so that the vibration reduction of the cutter head assembly is realized.
Disclosure of Invention
The milling cutter and the design method provided by the invention solve the problems that the milling cutter is easy to generate severe vibration in the milling process and is easy to cause serious damage to a milling machine system, remarkably reduce the vibration of the milling cutter in the milling process and improve the processing quality.
In order to achieve the purpose, the technical scheme of the invention is realized as follows:
the invention discloses a milling cutter which comprises a damping alloy spline housing, a cutter rod and a cutter head assembly, wherein force transmission is realized between the damping alloy spline housing and the cutter rod in an interference fit installation mode, the damping alloy spline housing is installed on the outermost layer of the cutter rod, and the deformation of the damping alloy spline housing and the deformation of the cutter rod are gradually reduced from the outside to the center until the deformation is zero.
Further, the damping alloy spline housing is made of a high manganese-based damping alloy material.
Further, the damping alloy spline housing outer diameter needs to be equal to the outer diameter dimension of the original milling cutter.
The invention also discloses a design method of the milling cutter, which comprises the following steps:
obtaining an original three-dimensional design model of the milling cutter, designing a damping alloy spline housing 1, establishing key design parameters including a spline major diameter A, a spline minor diameter B, a spline width C, a spline housing length L and the number N of internal splines, determining a variable interval of each parameter, and expressing the variable interval by using a matrix as follows:
Figure BDA0002391019110000021
obtaining a torsional rigidity matrix [ K ] of the milling cutter under the combined variable by taking key design parameters of a spline major diameter A, a spline minor diameter B, a spline width C, a spline housing length L and the number N of internal splines as variables through finite element analysist]And a matrix [ ζ ] of the damping ratio of the structure at each stiffness value];
Introducing a vibration resistance value parameter theta which is equal to the product of the rigidity matrix and the damping ratio matrix and is expressed by the following formula:
[θ]=[kt][ζ];
wherein [ theta ]]Is a matrix of vibration resistance values, [ k ]t]Is a torsional stiffness matrix, [ zeta ]]A structural damping ratio matrix;
determining the optimal design scheme of the milling cutter, and expressing the optimal design scheme by using a formula as follows:
θmax(t,l)=Max([kt][ζ]);
wherein, [ k ]t]Is a torsional stiffness matrix, [ zeta ]]A structural damping ratio matrix;
and (5) checking again through finite element analysis to complete the design.
The beneficial technical effects are as follows:
1. the invention discloses a milling cutter, which comprises a damping alloy spline sleeve, a cutter rod and a cutter head assembly, wherein the damping alloy spline sleeve and the cutter rod are arranged in an interference fit mode to realize force transmission, the damping alloy spline sleeve is arranged on the outermost layer of the cutter rod, the deformation of the damping alloy spline sleeve and the deformation of the cutter rod are gradually reduced from the outside to the center until the deformation is zero, the problems that the milling cutter is easy to generate severe vibration in the milling process and the milling machine system is easy to be seriously damaged are solved, the vibration of the milling cutter in the milling process is obviously reduced, and the processing quality is improved.
2. The invention discloses a method for designing a milling cutter, which comprises the following steps of obtaining an original three-dimensional design model of the milling cutter, designing a damping alloy spline housing, and determining a variable interval of each parameter; obtaining a torsional rigidity matrix of the milling cutter under the combined variable and a structural damping ratio matrix under each rigidity value through finite element analysis; and determining an optimal design scheme of the milling cutter according to the vibration resistance value parameter theta, carrying out parametric design on the damping alloy spline housing to obtain the rigidity and the structural damping ratio of the parameterized milling cutter, and obtaining optimal design parameters through an optimal design theory, so that the vibration and noise reduction performance of the milling cutter and the service life of the cutter are optimized.
Drawings
In order to more clearly illustrate the technical solution of the present invention, the drawings used in the description of the embodiments will be briefly described below.
Fig. 1 is an overall structural view of a milling cutter of the present invention;
FIG. 2 is an exploded view of a milling cutter according to the present invention;
FIG. 3 is an interface size view of a damping alloy spline housing of a milling cutter of the present invention;
the damping alloy spline housing comprises a 1-damping alloy spline housing, a 2-cutter bar and a 3-cutter head assembly.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention, and are not to be construed as limiting the present invention.
Embodiments of the present invention will be described in detail below with reference to the accompanying drawings.
The invention discloses a milling cutter, which comprises a damping alloy spline housing 1, a cutter bar 2 and a cutter head assembly 3, and preferably, the damping alloy spline housing 1 is made of a high manganese-based damping alloy material which has a damping coefficient similar to that of rubber and has strength similar to that of low-carbon steel, the outer diameter of the damping alloy spline housing 1 needs to be equal to the outer diameter of an original milling cutter, and if the original milling cutter is subjected to remanufacturing, the cutter bar of the original milling cutter needs to be subjected to secondary processing so as to be adapted to the assembly of the damping alloy spline housing 1.
As an embodiment of the invention, in order to facilitate processing and assembly, the damping alloy spline housing 1 and the cutter bar 2 are installed in an interference fit mode to realize force transmission, the damping alloy spline housing 1 is installed on the outermost layer of the cutter bar 2, the deformation of the damping alloy spline housing 1 and the cutter bar 2 is gradually reduced from large to zero from outside to center, namely the contribution of an outside material to deformation resistance is maximum, the generated damping effect is also highest, the problems that a milling cutter is easy to generate severe vibration in the milling process and the milling cutter system is easy to be seriously damaged are solved, the vibration of the milling cutter in the milling process is obviously reduced, and the processing quality is improved.
The invention discloses a milling cutter design method on the other hand, which comprises the following steps:
obtaining an original three-dimensional design model of the milling cutter, designing a damping alloy spline housing 1, establishing key design parameters including a spline major diameter A, a spline minor diameter B, a spline width C, a spline housing length L and the number N of internal splines, determining a variable interval of each parameter, and expressing the variable interval by using a matrix as follows:
Figure BDA0002391019110000041
wherein, A is the major diameter of spline, and B is the spline path, and C is the spline width, and L is spline housing length, and N is the internal spline number.
Obtaining a torsional rigidity matrix [ K ] of the milling cutter under the combined variable by taking key design parameters of a spline major diameter A, a spline minor diameter B, a spline width C, a spline housing length L and the number N of internal splines as variables through finite element analysist]And a matrix [ ζ ] of the damping ratio of the structure at each stiffness value];
Because the body material of the conventional milling cutter is 40Cr, and the elastic modulus E of the conventional milling cutter is greater than that of the high manganese-based damping alloy, a certain relation exists between the rigidity and the damping ratio of the vibration reduction milling cutter, namely the rigidity is increased, and the damping ratio is reduced; the stiffness decreases and the damping ratio increases. And the machining characteristics of the vibration reduction milling cutter are determined by the rigidity and the damping ratio.
Based on the above analysis, there is a certain variation relationship between the bending stiffness and the damping ratio, so the torsional stiffness matrix [ k ]t]And damping matrix [ zeta ]]Product matrix [ theta ] of]There exists a maximum value, and the variation curve of the product value of the two has a peak inflection point.
Introducing a vibration resistance value parameter theta which is equal to the product of the torsional rigidity matrix and the damping ratio matrix and is expressed by the following formula:
[θ]=[kt][ζ];
wherein, [ k ]t]Is a torsional stiffness matrix, [ zeta ]]A structural damping ratio matrix;
introducing a parameter vibration resistance value theta, carrying out parametric design on the damping alloy spline housing to obtain parameterized milling cutter rigidity and structural damping ratio, and obtaining optimal design parameters through an optimal design theory, so that the vibration and noise reduction performance and the cutter service life of the milling cutter are optimized, and the optimal design scheme of the milling cutter is determined and expressed by a formula as follows:
θmax(t,l)=Max([kt][ζ]);
wherein, [ k ]t]Is a torsional stiffness matrix, [ zeta ]]A structural damping ratio matrix;
and (5) checking again through finite element analysis to complete the design.
The above examples are only for describing the preferred embodiments of the present invention, and are not intended to limit the scope of the present invention, and various modifications and improvements made to the technical solution of the present invention by those skilled in the art without departing from the spirit of the present invention should fall within the protection scope defined by the claims of the present invention.

Claims (4)

1.一种铣刀,包括阻尼合金花键套1、刀杆2和刀头组件3,其特征在于,阻尼合金花键套1和刀杆2之间采用过盈配合的安装方式实现力的传递,所述阻尼合金花键套1安装在所述刀杆2的最外层,所述阻尼合金花键套1和刀杆2的变形量从外侧到中心位置由大逐步变小,直至为零。1. a milling cutter, comprising a damping alloy spline sleeve 1, a cutter bar 2 and a cutter head assembly 3, it is characterized in that, between the damping alloy spline sleeve 1 and the cutter bar 2, the installation mode of interference fit is adopted to realize the force Transmission, the damping alloy spline sleeve 1 is installed on the outermost layer of the cutter bar 2, and the deformation amount of the damping alloy spline sleeve 1 and the cutter bar 2 gradually decreases from the outer side to the center position, until it is zero. 2.根据权利要求1所述的一种铣刀,其特征在于,所述所述阻尼合金花键套1为高锰基阻尼合金材料。2 . The milling cutter according to claim 1 , wherein the damping alloy spline sleeve 1 is made of high manganese-based damping alloy material. 3 . 3.根据权利要求1所述的一种铣刀,其特征在于,所述阻尼合金花键套1外径需要等于原始铣刀的外径尺寸。3 . The milling cutter according to claim 1 , wherein the outer diameter of the damping alloy spline sleeve 1 needs to be equal to the outer diameter of the original milling cutter. 4 . 4.根据权利要求1-3任一项所述的一种铣刀的设计方法,包括以下步骤:4. the design method of a kind of milling cutter according to any one of claim 1-3, comprises the following steps: 获取铣刀的原始三维设计模型,设计阻尼合金花键套1,建立关键设计参数花键大径A、花键小径B、花键宽度C、花键套长度L和内花键个数N,确定每个参数的可变区间,用矩阵表示如下:Obtain the original 3D design model of the milling cutter, design the damping alloy spline sleeve 1, and establish the key design parameters spline major diameter A, spline minor diameter B, spline width C, spline sleeve length L and number N of internal splines, Determine the variable interval for each parameter, represented by a matrix as follows:
Figure FDA0002391019100000011
Figure FDA0002391019100000011
通过有限元分析,以关键设计参数花键大径A、花键小径B、花键宽度C、花键套长度L和内花键个数N为变量,获得在此组合变量下铣刀的扭转刚度矩阵[Kt],以及在每个刚度值下的结构阻尼比矩阵[ζ];Through finite element analysis, the key design parameters spline major diameter A, spline minor diameter B, spline width C, spline sleeve length L and the number of internal splines N are used as variables to obtain the torsion of the milling cutter under this combination of variables. stiffness matrix [K t ], and structural damping ratio matrix [ζ] at each stiffness value; 引入耐振值参数θ,其等于刚度矩阵和阻尼比矩阵的乘积,用公式表示如下:The vibration resistance parameter θ is introduced, which is equal to the product of the stiffness matrix and the damping ratio matrix, which is expressed as follows: [θ]=[kt][ζ];[θ]=[k t ][ζ]; 其中,[θ]为耐振值矩阵,[kt]为扭转刚度矩阵,[ζ]为结构阻尼比矩阵;Among them, [θ] is the vibration resistance value matrix, [k t ] is the torsional stiffness matrix, and [ζ] is the structural damping ratio matrix; 确定铣刀的最优设计方案,用公式表示如下:Determine the optimal design scheme of the milling cutter, which is expressed by the formula as follows: θmax(t,l)=Max([kt][ζ]);θ max (t,l)=Max([k t ][ζ]); 其中,[kt]为扭转刚度矩阵,[ζ]为结构阻尼比矩阵;where [k t ] is the torsional stiffness matrix, and [ζ] is the structural damping ratio matrix; 通过有限元分析再次校核后完成设计。The design is completed after rechecking through finite element analysis.
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Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
SU845927A1 (en) * 1978-08-07 1981-07-15 Отдел Физики Полимеров Уральскогонаучного Центра Ah Cccp Drawing aparatus with hydrodynamic feeding of lubricant
CN102672217A (en) * 2012-05-24 2012-09-19 山东大学 Coating damping cutter rod and damping testing method thereof
CN204867686U (en) * 2015-07-31 2015-12-16 重庆洋迪机电有限公司 Long filament pole thread processing device
CN105972028A (en) * 2016-07-07 2016-09-28 江苏东奇标准件有限公司 Novel bolt
CN208099378U (en) * 2018-04-17 2018-11-16 山东大学 A kind of scatter-type periodic structure damping vibration attenuation turning tool rod
CN109365835A (en) * 2018-10-15 2019-02-22 中船重工龙江广瀚燃气轮机有限公司 A large-diameter step deep hole long-axis fine turning device

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
SU845927A1 (en) * 1978-08-07 1981-07-15 Отдел Физики Полимеров Уральскогонаучного Центра Ah Cccp Drawing aparatus with hydrodynamic feeding of lubricant
CN102672217A (en) * 2012-05-24 2012-09-19 山东大学 Coating damping cutter rod and damping testing method thereof
CN204867686U (en) * 2015-07-31 2015-12-16 重庆洋迪机电有限公司 Long filament pole thread processing device
CN105972028A (en) * 2016-07-07 2016-09-28 江苏东奇标准件有限公司 Novel bolt
CN208099378U (en) * 2018-04-17 2018-11-16 山东大学 A kind of scatter-type periodic structure damping vibration attenuation turning tool rod
CN109365835A (en) * 2018-10-15 2019-02-22 中船重工龙江广瀚燃气轮机有限公司 A large-diameter step deep hole long-axis fine turning device

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