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CN116900421A - An unequal rake angle cutting tool and its construction method - Google Patents

An unequal rake angle cutting tool and its construction method Download PDF

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Publication number
CN116900421A
CN116900421A CN202310860453.0A CN202310860453A CN116900421A CN 116900421 A CN116900421 A CN 116900421A CN 202310860453 A CN202310860453 A CN 202310860453A CN 116900421 A CN116900421 A CN 116900421A
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cutting
cutter
angle
tooth
cutting edge
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吴晓强
金永泉
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Inner Mongolia University for Nationlities
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Inner Mongolia University for Nationlities
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23FMAKING GEARS OR TOOTHED RACKS
    • B23F21/00Tools specially adapted for use in machines for manufacturing gear teeth

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  • Mechanical Engineering (AREA)
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Abstract

本发明公开了剐齿刀具构造领域的一种非等前角剐齿刀具及其构造方法,包括刀具本体和沿刀具本体轴向均布的若干刀齿;其中,刀齿由切削刃、前刀面和后刀面组成;切削刃位于被加工齿面的共轭面上;前刀面位于靠近切削刃的领域内,为前角符合规律变化的自由曲面,前刀面的其他区域为填充曲面;后刀面为多条切削刃构成的自由曲面;刀齿为斜齿,刀齿的旋向为左旋或右旋中的一种,旋转角度为10‑30°;切削刃领域内的前刀面是前角非恒定的自由曲面;从剐齿刀具本体出发,对剐齿刀具本体进行构造,通过该构造方法所构造的非等前角剐齿刀具具有较高的齿面加工精度,且可均化刀齿的非均匀磨损趋势,使刀具具有较高的寿命,且降低了成本。

The invention discloses an unequal rake angle tooth cutting tool in the field of tooth cutting tool construction and a construction method thereof. It consists of a surface and a flank surface; the cutting edge is located on the conjugate surface of the machined tooth surface; the rake surface is located in the area close to the cutting edge and is a free-form surface with a rake angle that changes regularly, and other areas of the rake surface are filled curved surfaces ; The flank surface is a free-form surface composed of multiple cutting edges; the cutter teeth are helical teeth, and the rotation direction of the cutter teeth is one of left-hand or right-hand rotation, and the rotation angle is 10‑30°; the front tool in the cutting edge field The surface is a free-form surface with a non-constant rake angle; starting from the gear cutting tool body, the gear cutting tool body is constructed. The tooth cutting tool constructed by this construction method has high tooth surface machining accuracy and can The non-uniform wear trend of the cutter teeth is evened out, giving the cutter a longer life and reducing costs.

Description

一种非等前角剐齿刀具及其构造方法An unequal rake angle cutting tool and its construction method

技术领域Technical field

本发明属于剐齿刀具构造领域,具体是一种非等前角剐齿刀具及其构造方法。The invention belongs to the field of tooth cutting tool construction, specifically a tooth cutting tool with unequal rake angles and a construction method thereof.

背景技术Background technique

剐齿技术是21世纪逐渐发展起来的齿轮加工新技术,不仅能够实现无退刀槽内齿、双联齿轮等轻量化齿轮零件加工,而且能够实现干式切削、加工精度达到GB/T6级及以上、加工效率较滚齿与插齿提升3-4倍,表现出高精度、高效率、绿色环保等显著特点。但是,剐齿技术产业化进程中存在一些问题,即剐齿刀磨损较快、使用寿命较短。Gear cutting technology is a new gear processing technology that has gradually developed in the 21st century. It can not only realize the processing of lightweight gear parts such as internal teeth without undercut grooves, double gears, but also can achieve dry cutting, and the processing accuracy reaches GB/T6 level and above. Above, the processing efficiency is 3-4 times higher than that of gear hobbing and gear shaping, showing significant features such as high precision, high efficiency, and green environmental protection. However, there are some problems in the industrialization process of tooth cutting technology, that is, the tooth cutting knife wears quickly and has a short service life.

为了解决上述问题,中国专利公布号为CN116197466A公开了一种剐齿刀具及其制备方法。剐齿刀具包括:剐齿刀具本体,剐齿刀具本体的刀面形成有多个凹凸结构,多个凹凸结构在刀面上沿至少一个方向间隔排布;和复合膜层,设置在刀面上,并且复合膜层包括:金属膜层,形成在刀面上,并覆盖多个凹凸结构的表面,金属膜层的材料包括金属;过渡膜层,设置在金属膜层远离刀面的一侧,过渡膜层包括形成在金属膜层上的第一膜层和形成在第一膜层上的第二膜层,第一膜层的材料包括金属的氮化物,第二膜层的材料包括金属和铝的合金的氮化物;和功能膜层,设置在过渡膜层远离刀面的一侧,功能膜层的材料包括金属、铝和硅的合金的氮化物。In order to solve the above problems, Chinese patent publication number CN116197466A discloses a tooth cutting tool and a preparation method thereof. The tooth cutting tool includes: a tooth cutting tool body, the blade surface of the tooth cutting tool body is formed with multiple concave and convex structures, and the multiple concave and convex structures are arranged at intervals along at least one direction on the blade surface; and a composite film layer, which is provided on the blade surface , and the composite film layer includes: a metal film layer, formed on the blade surface, and covering the surface of multiple concave and convex structures, the material of the metal film layer includes metal; a transition film layer, arranged on the side of the metal film layer away from the blade surface, The transition film layer includes a first film layer formed on the metal film layer and a second film layer formed on the first film layer. The material of the first film layer includes metal nitride, and the material of the second film layer includes metal and Nitride of an alloy of aluminum; and a functional film layer, which is provided on the side of the transition film layer away from the blade surface. The material of the functional film layer includes nitride of an alloy of metal, aluminum and silicon.

上述装置通在刀具本体上添加多层膜层,来减缓剐齿刀具的磨损和提高剐齿刀具的使用寿命,该方式成本较高;因此,有必要提出一种非等前角剐齿刀具及其构造方法,从剐齿刀具本体出发,对剐齿刀具本体进行构造,通过该构造方法所构造的非等前角剐齿刀具具有较高的齿面加工精度,且可均化刀齿的非均匀磨损趋势,使刀具具有较高的寿命,且降低了成本。The above device adds multiple layers of film to the tool body to slow down the wear of the gear cutting tool and improve the service life of the gear cutting tool. This method is costly; therefore, it is necessary to propose a gear cutting tool with unequal rake angles and Its construction method is to construct the gear cutting tool body based on the gear cutting tool body. The unequal rake angle gear cutting tool constructed by this construction method has high tooth surface processing accuracy and can even out the non-uniformity of the blade teeth. The uniform wear trend makes the tool have a higher life and reduces the cost.

发明内容Contents of the invention

本发明的目的是提出一种非等前角剐齿刀具及其构造方法,从剐齿刀具本体出发,对剐齿刀具本体进行构造,通过该构造方法所构造的非等前角剐齿刀具具有较高的齿面加工精度,且可均化刀齿的非均匀磨损趋势,使刀具具有较高的寿命,且降低了成本。The object of the present invention is to propose a tooth cutting tool with unequal rake angles and a construction method thereof. Starting from the tooth cutting tool body, the tooth cutting tool body is constructed. The unequal rake angle tooth cutting tool constructed by this construction method has It has high tooth surface machining accuracy and can even out the non-uniform wear trend of the cutter teeth, giving the tool a longer life and reducing costs.

为了实现上述目的,本发明的技术方案如下:一种非等前角剐齿刀具及其构造方法,包括刀具本体和沿刀具本体轴向均布的若干刀齿;其中,刀齿由切削刃、前刀面和后刀面组成;切削刃位于被加工齿面的共轭面上;前刀面位于靠近切削刃的领域内,为前角符合规律变化的自由曲面,前刀面的其他区域为填充曲面;后刀面为多条切削刃构成的自由曲面。In order to achieve the above object, the technical solution of the present invention is as follows: an unequal rake angle cutting tool and its construction method, including a tool body and a number of teeth evenly distributed along the axial direction of the tool body; wherein, the teeth are composed of a cutting edge, It consists of a rake surface and a flank surface; the cutting edge is located on the conjugate surface of the machined tooth surface; the rake surface is located in the area close to the cutting edge and is a free-form surface with a rake angle that changes regularly. The other areas of the rake surface are Filled surface; the flank surface is a free-form surface composed of multiple cutting edges.

进一步,刀齿为直齿。Furthermore, the blade teeth are straight teeth.

进一步,刀齿为斜齿,刀齿的旋向为左旋或右旋中的一种,旋转角度为10-30°;切削刃领域内的前刀面是前角非恒定的自由曲面;刀具的前角为3-30°,切削刃的切削前角为-5-25°;后刀面的宽度从刀具本体的前端至刀具本体的后端逐渐减小,刀具本体的后角为6-10°。Furthermore, the cutter teeth are helical teeth, and the rotation direction of the cutter teeth is either left-hand or right-hand, and the rotation angle is 10-30°; the rake surface in the cutting edge field is a free-form surface with a non-constant rake angle; The rake angle is 3-30°, and the cutting rake angle of the cutting edge is -5-25°; the width of the flank surface gradually decreases from the front end of the tool body to the rear end of the tool body, and the relief angle of the tool body is 6-10 °.

进一步,非等前角剐齿刀具的构造方法,包括以下步骤:Further, the construction method of the non-equal rake angle cutting tool includes the following steps:

步骤一:建立切削刃;根据工件参数和加工参数建立被加工齿面的共轭曲面,根据约束条件选出共轭曲面上的部分点作为切削刃的形值点,对形值点进行样条曲线拟合获取一条空间曲线;Step 1: Establish the cutting edge; establish the conjugate surface of the machined tooth surface according to the workpiece parameters and processing parameters, select some points on the conjugate surface according to the constraints as the shape value points of the cutting edge, and perform splines on the shape value points Curve fitting obtains a spatial curve;

步骤二:建立前刀面;根据加工参数和步骤一获取的切削刃计算各刃点切削前角的工作带;根据切削前角的定义和切削前角工作带下限的设计值,构造前刀面的母线向量;通过母线向量,以步骤一得到的切削刃为导线,构造切削刃领域的自由曲面;Step 2: Establish the rake face; calculate the working zone of the cutting rake angle at each edge point based on the processing parameters and the cutting edge obtained in step 1; construct the rake face according to the definition of the cutting rake angle and the design value of the lower limit of the cutting rake angle working zone Generating vector of

其中,切削前角的定义是指:在切削刃曲线上任意一点处建立刀具切削角度坐标系,根据金属切削理论,主剖面内的两条直线之间的夹角即为切削前角;Among them, the definition of cutting rake angle refers to: establishing a tool cutting angle coordinate system at any point on the cutting edge curve. According to metal cutting theory, the angle between two straight lines in the main section is the cutting rake angle;

切削前角工作带下限的选择条件为:根据计算各刃点切削前角的工作带,确定全局切削前角的最小值作为切削前角工作带下限;The selection conditions for the lower limit of the cutting rake angle working zone are: based on the calculation of the working zone of the cutting rake angle at each edge point, determine the minimum value of the global cutting rake angle as the lower limit of the cutting rake angle working zone;

步骤三:建立后刀面;根据设定的每次重磨之后切削刃齿顶位置的变化量以及刀具的设计后角计算每次重磨后中心距的变化量,按照步骤一的方法获取重磨之后的切削刃;Step 3: Establish the flank surface; calculate the change in center distance after each regrinding based on the set change in the cutting edge tooth tip position after each regrinding and the design relief angle of the tool, and obtain the weight according to the method in step 1. The cutting edge after grinding;

重复上述步骤,获取若干重磨后的切削刃,根据每条切削刃上的形值点,通过插值构造三次B样条曲面,该三次B样条曲面即为后刀面。Repeat the above steps to obtain several reground cutting edges. According to the shape value points on each cutting edge, a cubic B-spline surface is constructed through interpolation. The cubic B-spline surface is the flank surface.

进一步,计算各刃点切削前角的工作带的计算方法为:将切削刃代入剐齿加工的切削运动方程。Furthermore, the calculation method for calculating the working zone of the cutting rake angle of each edge point is as follows: substituting the cutting edge into the cutting motion equation of gear cutting.

进一步,工件参数包括工件模数、齿数、螺旋角、齿顶圆直径、齿根圆直径、基圆直径、分度圆直径、跨棒距和公法线;加工参数包括转速与轴交角。Further, the workpiece parameters include workpiece module, number of teeth, helix angle, tooth tip circle diameter, tooth root circle diameter, base circle diameter, index circle diameter, span-rod distance and common normal; processing parameters include rotation speed and axis intersection angle.

进一步,重新刃磨后的左、右切削刃仍分别与工件的左、右齿面共轭。Furthermore, the re-sharpened left and right cutting edges are still conjugate with the left and right tooth surfaces of the workpiece respectively.

进一步,步骤一中,约束条件是指:工件齿面的轴向切出距离和刀具切削刃的高度落差。Furthermore, in step one, the constraints refer to: the axial cutting distance of the workpiece tooth surface and the height difference of the tool cutting edge.

进一步,部分点的选择条件为:根据约束条件可以计算得出可用点的范围,在此范围内均匀选取。Furthermore, the selection conditions for some points are: the range of available points can be calculated according to the constraints, and the points are selected uniformly within this range.

进一步,步骤三中,每次重磨之后切削刃齿顶位置的变化量以及刀具的设计方法为:采用位于理论共轭面上的若干条重磨切削刃构成后刀面,用以保证重磨后的刃形精度一致性;重磨后的切削刃所在的共轭面与重磨前相比位置发生相应的变化,通过调整刀具和工件之间的中心距获得若干重磨后的理论共轭面。Furthermore, in step three, the change in the position of the cutting edge tip after each regrinding and the design method of the tool are: several regrinding cutting edges located on the theoretical conjugate surface are used to form the flank surface to ensure that the regrinding The consistency of the blade shape accuracy after regrinding; the position of the conjugate surface where the cutting edge is located after regrinding changes accordingly compared with before regrinding. By adjusting the center distance between the tool and the workpiece, several theoretical conjugates after regrinding are obtained noodle.

采用上述方案后实现了以下原理以及有益效果:After adopting the above solution, the following principles and beneficial effects are achieved:

(1)本发明从剐齿刀具本体出发,对剐齿刀具本体进行构造,通过该构造方法提供的非等前角剐齿刀具没有理论加工误差,具有较高的齿面加工精度。(1) The present invention starts from the gear cutting tool body and constructs the gear cutting tool body. The unequal rake angle gear cutting tool provided by this construction method has no theoretical machining error and has high tooth surface processing accuracy.

(2)本发明提供的剐齿刀具有非等的前角,可以均化刀齿的非均匀磨损趋势,使刀具具有较高的寿命。(2) The tooth-cutting cutter provided by the present invention has unequal rake angles, which can even out the non-uniform wear trend of the cutter teeth and make the cutter have a higher service life.

(3)本发明提供的非等前角剐齿刀具重新刃磨后的切削刃仍与被加工齿面共轭,重磨后加工精度恒定。(3) The cutting edge of the unequal rake angle cutting tool provided by the present invention is still conjugate with the processed tooth surface after re-sharpening, and the processing accuracy remains constant after re-sharpening.

(4)本发明提供的设计方法,可以有效降低剐齿刀具的切削阻力,减少机床震颤,进而改善零件表面的加工质量,加工精度更高。(4) The design method provided by the present invention can effectively reduce the cutting resistance of the tooth-cutting tool and reduce the vibration of the machine tool, thereby improving the processing quality of the part surface and achieving higher processing accuracy.

(5)本发明提供的设计方法具有通用性,适合加工各种渐开线、非渐开线的内齿、外齿圆柱齿轮。(5) The design method provided by the present invention is versatile and suitable for processing various involute and non-involute internal and external cylindrical gears.

附图说明Description of the drawings

图1为本发明实施例剐齿刀具的结构示意图。Figure 1 is a schematic structural diagram of a tooth cutting tool according to an embodiment of the present invention.

图2为本发明实施例剐齿刀刀齿的结构示意图。Figure 2 is a schematic structural diagram of the teeth of a cutting knife according to an embodiment of the present invention.

图3为本发明实施例位于被加工齿面共轭面上的切削刃构造示意图。Figure 3 is a schematic diagram of the structure of the cutting edge located on the conjugate surface of the tooth surface to be processed according to the embodiment of the present invention.

图4为本发明实施例切削前角工作带示意图。Figure 4 is a schematic diagram of the cutting rake angle working belt according to the embodiment of the present invention.

图5为本发明实施例切削角度参考平面示意图。FIG. 5 is a schematic diagram of the cutting angle reference plane according to the embodiment of the present invention.

图6为本发明实施例前刀面形成方式示意图。Figure 6 is a schematic diagram of a rake surface formation method according to an embodiment of the present invention.

图7为本发明实施例后刀面形成方式示意图。Figure 7 is a schematic diagram of the formation method of the flank surface according to the embodiment of the present invention.

具体实施方式Detailed ways

下面通过具体实施方式进一步详细说明:The following is further detailed through specific implementation methods:

说明书附图中的附图标记包括:刀具本体1、刀齿2、切削刃201、前刀面202、后刀面203、共轭面3、刀具前角6、填充曲面9。The reference numbers in the drawings of the description include: tool body 1, tooth 2, cutting edge 201, rake surface 202, flank surface 203, conjugate surface 3, tool rake angle 6, and filled curved surface 9.

实施例基本如附图1-7所示:The embodiment is basically as shown in Figures 1-7:

一种非等前角剐齿刀具及其构造方法,包括刀具本体1和沿刀具本体1轴向均布的若干刀齿2;其中,刀齿2由切削刃201、前刀面202和后刀面203组成。An unequal rake angle cutting tool and its construction method, including a tool body 1 and a number of teeth 2 evenly distributed along the axial direction of the tool body 1; wherein, the teeth 2 are composed of a cutting edge 201, a rake surface 202 and a flank It consists of 203 faces.

切削刃201位于被加工齿面的共轭面3上;前刀面202位于靠近切削刃201的领域内,前刀面202为前角符合规律变化的自由曲面,前刀面202的其他区域为填充曲面9;后刀面203为多条切削刃201构成的自由曲面。The cutting edge 201 is located on the conjugate surface 3 of the processed tooth surface; the rake surface 202 is located in the area close to the cutting edge 201. The rake surface 202 is a free-form surface with a rake angle that changes regularly. The other areas of the rake surface 202 are Filling curved surface 9; flank surface 203 is a free-form surface composed of multiple cutting edges 201.

刀齿2为直齿或斜齿,本实施例刀齿2选用斜齿,其中,刀齿2的旋向为左旋或右旋中的一种,旋转角度为10-30°;切削刃201领域内的前刀面202是前角非恒定的自由曲面;刀具前角6为3-30°,切削刃201的切削前角为-5-25°;后刀面203的宽度从刀具本体1的前端至刀具本体1的后端逐渐减小,刀具本体1的后角为6-10°。The cutter teeth 2 are straight teeth or helical teeth. In this embodiment, the cutter teeth 2 are helical teeth. The rotation direction of the cutter teeth 2 is one of left-handed or right-handed, and the rotation angle is 10-30°; the cutting edge 201 area The rake surface 202 inside is a free-form surface with a non-constant rake angle; the tool rake angle 6 is 3-30°, and the cutting rake angle of the cutting edge 201 is -5-25°; the width of the flank surface 203 varies from the tool body 1 The front end to the rear end of the tool body 1 gradually decreases, and the clearance angle of the tool body 1 is 6-10°.

非等前角剐齿刀具的构造方法,包括以下步骤:The construction method of a non-equal rake angle cutting tool includes the following steps:

步骤一:建立切削刃201;根据工件参数和加工参数建立被加工齿面的共轭曲面,根据约束条件选出共轭曲面上的部分点作为切削刃201的形值点,对形值点进行样条曲线拟合获取一条空间曲线;Step 1: Establish the cutting edge 201; establish the conjugate surface of the machined tooth surface according to the workpiece parameters and processing parameters, select some points on the conjugate surface according to the constraints as the shape value points of the cutting edge 201, and conduct the shape value points Spline curve fitting obtains a spatial curve;

步骤二:建立前刀面202;根据加工参数和步骤一获取的切削刃201计算各刃点切削前角的工作带;根据切削前角的定义和切削前角工作带下限的设计值,构造前刀面202的母线向量;通过母线向量,以步骤一得到的切削刃201为导线,构造切削刃201领域的自由曲面;Step 2: Establish the rake face 202; calculate the working zone of the cutting rake angle at each edge point according to the processing parameters and the cutting edge 201 obtained in step 1; according to the definition of the cutting rake angle and the design value of the lower limit of the cutting rake angle working zone, construct the front The bus vector of the blade surface 202; through the bus vector, use the cutting edge 201 obtained in step 1 as a conductor to construct a free-form surface in the area of the cutting edge 201;

其中,切削前角的定义是指:在切削刃曲线上任意一点处建立刀具切削角度坐标系,根据金属切削理论,主剖面内的两条直线之间的夹角即为切削前角;如图5所示,这两条直线为主剖面Po与前刀面交线的切线No以及主剖面Po与基面Pr的交线N1;Among them, the definition of cutting rake angle refers to: establishing a tool cutting angle coordinate system at any point on the cutting edge curve. According to metal cutting theory, the angle between two straight lines in the main section is the cutting rake angle; as shown in the figure As shown in 5, these two straight lines are the tangent No of the intersection of the main section Po and the rake face and the intersection N1 of the main section Po and the base plane Pr;

切削前角工作带下限的选择条件为:根据计算各刃点切削前角的工作带,确定全局切削前角的最小值作为切削前角工作带下限;The selection conditions for the lower limit of the cutting rake angle working zone are: based on the calculation of the working zone of the cutting rake angle at each edge point, determine the minimum value of the global cutting rake angle as the lower limit of the cutting rake angle working zone;

步骤三:建立后刀面203;根据设定的每次重磨之后切削刃201齿顶位置的变化量以及刀具的设计后角计算每次重磨后中心距的变化量,按照步骤一的方法获取重磨之后的切削刃201;重复上述步骤,获取若干重磨后的切削刃201,根据每条切削刃201上的形值点,通过插值构造三次B样条曲面,该三次B样条曲面即为后刀面203。Step 3: Establish the flank surface 203; calculate the change in center distance after each regrinding based on the set change in the tip position of the cutting edge 201 after each regrinding and the design relief angle of the tool, follow the method in step 1 Obtain the reground cutting edge 201; repeat the above steps to obtain several reground cutting edges 201, and construct a cubic B-spline surface through interpolation according to the shape value point on each cutting edge 201. The cubic B-spline surface This is the flank surface 203.

计算各刃点切削前角的工作带的计算方法为:将切削刃201代入剐齿加工的切削运动方程;工件参数包括工件模数、齿数、螺旋角、齿顶圆直径、齿根圆直径、基圆直径、分度圆直径、跨棒距和公法线;加工参数包括转速与轴交角;重新刃磨后的左、右切削刃201仍分别与工件的左、右齿面共轭。The calculation method for calculating the working zone of the cutting rake angle of each edge point is as follows: Substituting the cutting edge 201 into the cutting motion equation of tooth cutting; the workpiece parameters include workpiece module, number of teeth, helix angle, tooth tip circle diameter, tooth root circle diameter, Base circle diameter, indexing circle diameter, cross-rod distance and common normal; processing parameters include rotation speed and axis intersection angle; the left and right cutting edges 201 after re-sharpening are still conjugate with the left and right tooth surfaces of the workpiece respectively.

约束条件是指:工件齿面的轴向切出距离和刀具切削刃的高度落差。The constraints refer to: the axial cutting distance of the workpiece tooth surface and the height difference of the tool cutting edge.

部分点的选择条件为:根据约束条件可以计算得出可用点的范围,在此范围内均匀选取。The selection conditions for some points are: the range of available points can be calculated according to the constraints, and the points are selected evenly within this range.

步骤三中,每次重磨之后切削刃齿顶位置的变化量以及刀具的设计方法为:采用位于理论共轭面上的若干条重磨切削刃构成后刀面,用以保证重磨后的刃形精度一致性;重磨后的切削刃所在的共轭面与重磨前相比位置发生相应的变化,通过调整刀具和工件之间的中心距获得若干重磨后的理论共轭面;如图3所示,初始切削刃以及若干次重磨之后的切削刃分别用e1,e2……表示;这些切削刃所在的共轭面分别用c1,c2……表示;各切削刃上的齿顶点分别用M11,M22……表示。相邻切削刃的齿顶点之间的距离用Δg表示,其数值可根据刀具后角设定。In step three, the change in the position of the cutting edge tooth tip after each regrinding and the design method of the tool are as follows: several regrinding cutting edges located on the theoretical conjugate surface are used to form the flank surface to ensure that the cutting edge tooth tip position changes after regrinding. Consistency of blade shape accuracy; the position of the conjugate surface where the cutting edge is located after regrinding changes accordingly compared to before regrinding, and several theoretical conjugate surfaces after regrinding are obtained by adjusting the center distance between the tool and the workpiece; As shown in Figure 3, the initial cutting edge and the cutting edge after several regrindings are represented by e1, e2... respectively; the conjugate surfaces where these cutting edges are located are represented by c1, c2... respectively; the teeth on each cutting edge The vertices are represented by M11, M22... respectively. The distance between the tooth vertices of adjacent cutting edges is represented by Δg, and its value can be set according to the tool relief angle.

具体实施过程如下:The specific implementation process is as follows:

本实施例刀齿2选用斜齿,其中,刀齿2的旋向为左旋或右旋中的一种,旋转角度为10-30°。In this embodiment, the cutter teeth 2 are helical teeth, in which the rotation direction of the cutter teeth 2 is either left-handed or right-handed, and the rotation angle is 10-30°.

根据共轭原理建立被加工齿面的共轭面3模型,在该共轭面3上根据约束条件选出部分点作为切削刃201形值点,将这些形值点用样条曲线拟合得到一条通过这些形值点的空间曲线,此曲线即是切削刃201。According to the conjugation principle, a conjugate surface 3 model of the machined tooth surface is established. Some points on the conjugate surface 3 are selected as cutting edge 201 shape value points according to the constraints. These shape value points are fitted with spline curves to obtain A spatial curve passing through these shape value points is the cutting edge 201.

结合转速与轴交角等加工参数,将切削刃201代入剐齿加工的切削运动方程,可以计算出切削刃201的切削前角工作带,如图4所示,切削刃201上各刃点都对应各自的前角工作带宽;Combining the processing parameters such as rotation speed and axis intersection angle, and substituting the cutting edge 201 into the cutting motion equation of gear cutting, the cutting rake angle working zone of the cutting edge 201 can be calculated. As shown in Figure 4, each edge point on the cutting edge 201 corresponds to Respective rake angle working bandwidth;

如图5所示,在切削刃201上各点建立前刀面202法矢,使切削前角的工作带位于-5-25°之间;将各点处的前刀面202法矢与刃线的切矢求叉积,得到切削刃201领域内的微小线段。As shown in Figure 5, the normal vector of the rake face 202 is established at each point on the cutting edge 201 so that the working zone of the cutting rake angle is between -5-25°; the normal vector of the rake face 202 at each point is connected with the blade The cross product of the tangent vector of the line is obtained to obtain a tiny line segment within the area of the cutting edge 201.

如图6所示,以切削刃201作为直纹面的导线,以切削刃201领域内的微小线段作为直纹面的母线,形成自由曲面形式的前刀面202,刀具前角6为3-30°。前刀面202的其他区域为填充曲面9;如图7所示,后刀面203由刀具前端向后端逐渐减小,由若干条切削刃201经三次B样条拟合形成的自由曲面构建出刀齿2。As shown in Figure 6, the cutting edge 201 is used as the conductor of the ruled surface, and the tiny line segments in the area of the cutting edge 201 are used as the generatrix of the ruled surface to form a rake surface 202 in the form of a free-form surface. The tool rake angle 6 is 3- 30°. The other areas of the rake surface 202 are filled curved surfaces 9; as shown in Figure 7, the flank surface 203 gradually decreases from the front end of the tool to the rear end, and is constructed from a free-form surface formed by cubic B-spline fitting of several cutting edges 201. Take out tooth 2.

以上所述的仅是本发明的实施例,方案中公知的具体结构及特性等常识在此未作过多描述,所属领域普通技术人员知晓申请日或者优先权日之前发明所属技术领域所有的普通技术知识,能够获知该领域中所有的现有技术,并且具有应用该日期之前常规实验手段的能力,所属领域普通技术人员可以在本申请给出的启示下,结合自身能力完善并实施本方案,一些典型的公知结构或者公知方法不应当成为所属领域普通技术人员实施本申请的障碍。应当指出,对于本领域的技术人员来说,在不脱离本发明结构的前提下,还可以作出若干变形和改进,这些也应该视为本发明的保护范围,这些都不会影响本发明实施的效果和专利的实用性。本申请要求的保护范围应当以其权利要求的内容为准,说明书中的具体实施方式等记载可以用于解释权利要求的内容。The above are only embodiments of the present invention. Common knowledge such as the specific structures and characteristics of the solutions are not described in detail here. Those of ordinary skill in the art are aware of all common knowledge in the technical field to which the invention belongs before the filing date or priority date. Technical knowledge, being able to know all the existing technologies in the field, and having the ability to apply conventional experimental methods before that date. Persons of ordinary skill in the field can, under the inspiration given by this application, combine their own abilities to perfect and implement this plan, Some typical well-known structures or well-known methods should not be an obstacle for those of ordinary skill in the art to implement the present application. It should be pointed out that for those skilled in the art, several modifications and improvements can be made without departing from the structure of the present invention. These should also be regarded as the protection scope of the present invention and will not affect the implementation of the present invention. effectiveness and patented practicality. The scope of protection claimed in this application shall be based on the content of the claims, and the specific implementation modes and other records in the description may be used to interpret the content of the claims.

Claims (10)

1. A non-equal rake angle gear cutting tool is characterized in that: comprises a cutter body and a plurality of cutter teeth which are uniformly distributed along the axial direction of the cutter body; wherein, the cutter tooth is composed of a cutting edge, a front cutter surface and a rear cutter surface; the cutting edge is positioned on the conjugate surface of the machined tooth surface; the front cutter surface is positioned in the field close to the cutting edge, is a free curved surface with a front angle according with regular change, and other areas of the front cutter surface are filled curved surfaces; the clearance surface is a free curved surface formed by a plurality of cutting edges.
2. The unequal rake tooth cutter of claim 1, wherein: the cutter teeth are straight teeth.
3. The unequal rake tooth cutter of claim 1, wherein: the cutter teeth are helical teeth, the rotation direction of the cutter teeth is one of left rotation or right rotation, and the rotation angle is 10-30 degrees; the rake face in the cutting edge field is a free-form surface with a non-constant rake angle; the front angle of the cutter is 3-30 degrees, and the cutting front angle of the cutting edge is-5-25 degrees; the width of the rear cutter face gradually decreases from the front end of the cutter body to the rear end of the cutter body, and the rear angle of the cutter body is 6-10 degrees.
4. A construction method of a non-equal-front-angle tooth cutting tool is characterized by comprising the following steps of: a method of constructing a non-equal rake tooth cutter according to any one of claims 1 to 3, comprising the steps of:
step one: establishing a cutting edge; establishing a conjugate curved surface of a machined tooth surface according to workpiece parameters and machining parameters, selecting partial points on the conjugate curved surface as shape value points of a cutting edge according to constraint conditions, and performing spline curve fitting on the shape value points to obtain a space curve;
step two: establishing a rake face; calculating a working belt of the cutting front angle of each cutting edge point according to the machining parameters and the cutting edge obtained in the step one; constructing a bus vector of the rake face according to the definition of the cutting rake angle and the design value of the lower limit of the cutting rake angle working band; constructing a free-form surface in the field of the cutting edge by taking the cutting edge obtained in the step one as a lead through a bus vector;
wherein, the definition of the cutting rake angle refers to: a cutter cutting angle coordinate system is established at any point on a cutting edge curve, and according to a metal cutting theory, an included angle between two straight lines in a main section is a cutting front angle;
the lower limit of the cutting front angle working band is selected as follows: according to the working band of the cutting front angle of each blade point, determining the minimum value of the global cutting front angle as the lower limit of the working band of the cutting front angle;
step three: establishing a rear cutter surface; calculating the change of the center distance after each regrinding according to the set change of the tooth top position of the cutting edge after each regrinding and the design relief angle of the cutter, and acquiring the cutting edge after regrinding according to the method of the step one;
repeating the steps to obtain a plurality of re-ground cutting edges, and constructing a cubic B-spline surface by interpolation according to the shape value point on each cutting edge, wherein the cubic B-spline surface is the rear cutter surface.
5. The method for constructing the unequal front angle gear cutting tool according to claim 4, wherein: the working band calculating method for calculating the cutting front angle of each blade point comprises the following steps: substituting the cutting edge into a cutting motion equation of tooth cutting machining.
6. The method for constructing the unequal front angle gear cutting tool according to claim 5, wherein: the workpiece parameters comprise workpiece modulus, tooth number, helix angle, tooth top circle diameter, tooth root circle diameter, base circle diameter, reference circle diameter, cross bar distance and common normal; the processing parameters include rotational speed and intersection angle.
7. The method for constructing the unequal front angle gear cutting tool according to claim 6, wherein: the left and right cutting edges after resharpening are still respectively conjugated with the left and right tooth surfaces of the workpiece.
8. The method for constructing a non-equal rake tooth cutter as claimed in claim 7, wherein: in step one, the constraint condition means: the axial cutting distance of the tooth surface of the workpiece and the height drop of the cutting edge of the cutter.
9. The method for constructing the unequal front angle gear cutting tool according to claim 8, wherein: the selection conditions of the partial points are as follows: the range of available points can be calculated according to the constraint conditions, and the available points are uniformly selected in the range.
10. The method for constructing the unequal front angle gear cutting tool according to claim 9, wherein: in the third step, the variation of the tooth top position of the cutting edge after each regrinding and the design method of the cutter are as follows: a plurality of regrinding cutting edges positioned on the theoretical conjugate plane are adopted to form a rear cutter surface, so that consistency of edge shape precision after regrinding is ensured; the position of the conjugate surface of the regrinded cutting edge is correspondingly changed compared with that of the conjugate surface before regrinding, and a plurality of theoretical conjugate surfaces after regrinding are obtained by adjusting the center distance between the cutter and the workpiece.
CN202310860453.0A 2023-07-13 2023-07-13 An unequal rake angle cutting tool and its construction method Pending CN116900421A (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN119260082A (en) * 2024-12-12 2025-01-07 内蒙古一机集团瑞特精密工模具有限公司 A special-shaped tooth curved rake face tooth-scratching cutter and its design and shaping method
CN119260082B (en) * 2024-12-12 2025-04-08 内蒙古一机集团瑞特精密工模具有限公司 A special-shaped tooth curved rake face tooth-scratching cutter and its design and shaping method

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN119260082A (en) * 2024-12-12 2025-01-07 内蒙古一机集团瑞特精密工模具有限公司 A special-shaped tooth curved rake face tooth-scratching cutter and its design and shaping method
CN119260082B (en) * 2024-12-12 2025-04-08 内蒙古一机集团瑞特精密工模具有限公司 A special-shaped tooth curved rake face tooth-scratching cutter and its design and shaping method

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