一种微型刀具的刃磨工艺A kind of sharpening process of miniature tool
技术领域technical field
本发明属于医疗器械技术领域,具体涉及一种微型刀具的刃磨工艺。The invention belongs to the technical field of medical instruments, and in particular relates to a sharpening process for a miniature tool.
背景技术Background technique
微型手术刀,以其切口流畅、视野无盲区、交叉感染率低、安全风险低、对患者造成的损伤小等优势,在心血管、神经外科、眼科、耳鼻喉科以及病理检验等领域得到广泛应用。如狭窄性腱鞘炎、周围神经卡压综合征、慢性损伤粘连性疾病、关节僵硬、慢性劳损等疾病十分广而多,这些疾病保守治疗无效后,多要采取外科软组织松解治疗,是这些疾病最主要的外科手段之一,也是近年来外科治疗的主流。微创手术离不开微创工具,目前用于微创松解软组织的工具主要有小针刀与关节镜。一些用于显微外科的精微手术刀刃口需要双面磨削成形,传统方法采用圆柱形刀柄,配以转夹头进行装夹。传统磨削方式多为手动磨削,产品一致性差、效率低。Micro scalpels are widely used in cardiovascular, neurosurgery, ophthalmology, otolaryngology and pathological examinations due to their advantages of smooth incision, no blind spot, low cross-infection rate, low safety risk, and little damage to patients. . Such as stenosing tenosynovitis, peripheral nerve entrapment syndrome, chronic injury and adhesion disease, joint stiffness, chronic strain and other diseases are very wide and numerous. After conservative treatment of these diseases fails, surgical soft tissue release treatment is often used. It is one of the main surgical methods and the mainstream of surgical treatment in recent years. Minimally invasive surgery is inseparable from minimally invasive tools. At present, the tools used for minimally invasive soft tissue release mainly include small needle knives and arthroscopes. The cutting edge of some microsurgery knives needs to be ground and formed on both sides. The traditional method uses a cylindrical knife handle with a rotary chuck for clamping. The traditional grinding methods are mostly manual grinding, with poor product consistency and low efficiency.
发明内容SUMMARY OF THE INVENTION
本发明的微型刀具的刃磨工艺针对传统磨削方式的弊端自行搭建自动化四轴联动机床,研究了微型手术刀的刃磨方法及工艺,对工件加工可能出现的误差进行分析,而提出了一种新型刃磨方法,对解决微型手术刀磨抛问题获得有效改善。The sharpening process of the micro-knife of the present invention builds an automatic four-axis linkage machine tool by itself in view of the disadvantages of the traditional grinding method, studies the sharpening method and process of the micro-scalpel, analyzes the possible errors in the machining of the workpiece, and proposes a A new type of sharpening method can effectively improve the problem of grinding and polishing micro scalpels.
本发明的微型刀具的刃磨工艺,包括如下步骤(需要注意的是,这里的步骤A、B、C、D并非严格的指明先后顺序,可以依据实际操作进行调整),The sharpening process of the micro-tool of the present invention includes the following steps (it should be noted that the steps A, B, C, and D here are not strictly specified sequences, and can be adjusted according to actual operations),
A、依据待加工产品选择机床加工的磨削方式,待加工产品包括有一个刃或者两个刃;A. Select the grinding method of machine tool processing according to the product to be processed, and the product to be processed includes one edge or two edges;
B、建立X-Y-Z坐标系,模拟加工运动轨迹,进行加工运动学研究,确定磨削刀触点轨迹(坐标系为以待加工产品的刃部的顶点为原点O,以主轴轴线所在方向为X轴方向,以O点与砂轮中心连线所在方向为Y轴方向,Z轴则垂 直于X-Y,具体方向选择视需求而定),其中原点O坐标表示为
例如,当代加工产品具有对称的两个刃时,Y轴经过该两个刃之间的中心线;C、依据坐标系,建立对刀模型,确定对刀误差以及误差补偿,获得刀触点坐标向量为
其中xi、yi、zi分别为刀触点在机床中的位置表示,li、mi、ni则为刀触点法向量在x轴、y轴、z轴方向各自的分量,并确定刀触点的加工运动模型:
并获得各轴的运动量为γ=-sin
-1l
i或γ=cos
-1m
i,其中,dx、dy、dz分别为机床x轴、y轴、z轴的运动数学表达式,γ则为机床C轴转角,Rp为机床所使用的砂轮外径;θ为所加工微型刀具的刃倾角,L为砂轮中心到旋转中心的距离;
B. Establish an XYZ coordinate system, simulate the processing motion trajectory, conduct processing kinematics research, and determine the contact trajectory of the grinding tool (the coordinate system takes the vertex of the edge of the product to be processed as the origin O, and the direction of the spindle axis is the X axis direction, the direction of the line connecting the O point and the center of the grinding wheel is the Y-axis direction, and the Z-axis is perpendicular to XY, the specific direction selection depends on the demand), where the origin O coordinate is expressed as For example, when a contemporary machined product has two symmetrical edges, the Y axis passes through the center line between the two edges; C. According to the coordinate system, establish a tool setting model, determine the tool setting error and error compensation, and obtain the tool contact coordinates vector is Among them, xi, yi, and zi are the position representation of the tool contact in the machine tool, respectively, and li, mi, and ni are the respective components of the normal vector of the tool contact in the x-axis, y-axis, and z-axis directions, and determine the position of the tool contact. Processing kinematic model: And the motion amount of each axis is obtained as γ=-sin -1 l i or γ=cos -1 m i , where dx, dy, and dz are the mathematical expressions of the motion of the x-axis, y-axis, and z-axis of the machine tool, and γ is is the C-axis rotation angle of the machine tool, Rp is the outer diameter of the grinding wheel used by the machine tool; θ is the edge inclination angle of the machined micro-tool, and L is the distance from the center of the grinding wheel to the center of rotation;
D、对待加工产品进行磨削加工。D. Grinding the products to be processed.
本发明的微型刀具的刃磨工艺的一种改进,步骤C中刀触点在X-Y-Z坐标系做平移变换时,采用D-H变换并满足A
j=Trans(d
x,d
y,d
z)A
i,其中
An improvement of the sharpening process of the micro-tool of the present invention, in step C, when the tool contact is translated in the XYZ coordinate system, the DH transformation is adopted and satisfies A j =Trans(d x , dy ,d z )A i ,in
本发明的微型刀具的刃磨工艺的一种改进,步骤C中刀触点在做绕Z轴做旋 转变换时,采用D-H变换并满足A
j=Rot(z,γ)A
i,其中
An improvement of the sharpening process of the micro-tool of the present invention, in step C, when the tool contact is rotated around the Z axis, the DH transformation is adopted and A j =Rot(z,γ)A i is satisfied, wherein
本发明的微型刀具的刃磨工艺的一种改进,步骤C中对刀误差的确认包括:在X轴方向的对刀误差和/或在Y轴方向的对刀误差和/或在Z轴方向的对刀误差。An improvement of the sharpening process of the micro-tool of the present invention, the confirmation of the tool-setting error in step C includes: the tool-setting error in the X-axis direction and/or the tool-setting error in the Y-axis direction and/or the Z-axis direction tool setting error.
本发明的微型刀具的刃磨工艺的一种改进,步骤C中对刀误差主要为在Y轴方向的对刀误差Δy。An improvement of the sharpening process of the micro-tool of the present invention, the tool-setting error in step C is mainly the tool-setting error Δy in the Y-axis direction.
本发明的微型刀具的刃磨工艺的一种改进,在步骤C的对刀模型中对刀误差Δy为以Δt为自变量的函数。An improvement of the sharpening process of the micro-tool of the present invention, in the tool-setting model of step C, the tool-setting error Δy is a function with Δt as an independent variable.
本发明的微型刀具的刃磨工艺的一种改进,步骤C的对刀模型中对刀误差Δy满足
其中θ为刃倾角,h、R、d为依据代加工产品图纸计算得到的已知常量。
An improvement of the sharpening process of the micro-tool of the present invention, the tool-setting error Δy in the tool-setting model in step C satisfies Among them, θ is the inclination angle of the blade, and h, R, and d are the known constants calculated according to the drawings of the OEM products.
本发明的微型刀具的刃磨工艺的一种改进,步骤A中对于磨削方式的选择依据至少包括待加工产品的材质信息、待加工产品的形状信息中的至少一种。In an improvement of the sharpening process of the micro-tool of the present invention, the selection basis of the grinding method in step A includes at least one of the material information of the product to be processed and the shape information of the product to be processed.
本发明的微型刀具的刃磨工艺的一种改进,步骤A中对于磨削方式包括顺时针磨削或逆时针磨削。An improvement of the sharpening process of the micro-tool of the present invention, the grinding method in step A includes clockwise grinding or counterclockwise grinding.
本发明方案通过对刀具的材质、形状等进行建模,从而对磨削方式、加工机床的运动学等进行分析,从而提供了一种有效的自动化加工磨削的方法,从而在极大程度上提高磨削效率的同时,又满足了同一类型刀具磨削的可重复性,而保证批次产品加工的稳定性。The solution of the present invention provides an effective automatic machining and grinding method by modeling the material, shape, etc. of the tool, so as to analyze the grinding method, the kinematics of the machine tool, etc., so that to a great extent While improving the grinding efficiency, it also satisfies the repeatability of the same type of tool grinding, and ensures the stability of batch product processing.
附图说明Description of drawings
为了更清楚地说明本申请实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本申请中记载的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the following briefly introduces the accompanying drawings required for the description of the embodiments or the prior art. Obviously, the drawings in the following description are only These are some embodiments described in this application. For those of ordinary skill in the art, other drawings can also be obtained based on these drawings without any creative effort.
图1所示为本发明具体实施例中微型手术刀具刃磨工艺流程示意图;Fig. 1 is a schematic diagram of a micro-surgical knife sharpening process flow diagram in a specific embodiment of the present invention;
图2所示为本发明具体实施例中砂轮的磨削方式;Fig. 2 shows the grinding method of the grinding wheel in the specific embodiment of the present invention;
图3所示为本发明具体实施例中机床加工的模拟轨迹;Fig. 3 shows the simulated trajectory of machine tool processing in a specific embodiment of the present invention;
图4所示为本发明具体实施例中刃倾角在砂轮上的表示方法;Fig. 4 shows the representation method of the edge inclination angle on the grinding wheel in the specific embodiment of the present invention;
图5所示为本发明具体实施例中对刀点误差示意图;FIG. 5 is a schematic diagram of the tool setting point error in a specific embodiment of the present invention;
图6所示为本发明具体实施例中误差补偿方法示意图;6 is a schematic diagram of an error compensation method in a specific embodiment of the present invention;
图7所示为本发明具体实施例中刀触点误差示意图。FIG. 7 is a schematic diagram showing the error of the knife contact point in the specific embodiment of the present invention.
具体实施方式Detailed ways
以下将结合附图所示的各实施方式对本发明进行详细描述。但该等实施方式并不限制本发明,本领域的普通技术人员根据该等实施方式所做出的结构、方法、或功能上的变换均包含在本发明的保护范围内。The present invention will be described in detail below with reference to the various embodiments shown in the accompanying drawings. However, these embodiments do not limit the present invention, and the structural, method, or functional transformations made by those of ordinary skill in the art based on these embodiments are all included in the protection scope of the present invention.
本发明的微型刀具的刃磨工艺,包括如下步骤,The sharpening process of the miniature cutter of the present invention comprises the following steps:
首先依据待加工产品的材质如不锈钢等选择机床加工时的磨削方式,如针对不锈钢材质的待加工产品可以选择逆时针磨削的方式等,待加工产品包括有一个刃或者两个刃,作为微型手术刀则一般具有两个刃,如具有柳叶刀的形制;First, select the grinding method during machine tool processing according to the material of the product to be processed, such as stainless steel. For example, for the product to be processed made of stainless steel, you can choose a counterclockwise grinding method. The product to be processed includes one blade or two blades. Micro scalpels generally have two blades, such as a lancet shape;
将待加工产品夹持到机床的加工夹具上,以待加工产品的刃部的顶点为原点O,以主轴轴线所在方向为X轴方向,以O点与砂轮中心连线所在方向为Y轴方向,Z轴则垂直于X-Y,在机床的加工空间建立X-Y-Z坐标系,在坐标系内,针对待加工产品的现有的形状参数以及需要加工形成的目标产品的形状参数,也就是对待加工产品在加工前后的状态进行建模,模拟加工运动轨迹,进行加工运动学研究,确定磨削刀如砂轮等的触点轨迹,这里设定原点O坐标表示为
当代加工产品具有两个刃的微型手术刀时,在两刃对称的状态下Y轴可以经过该两个刃之间的中心线,否则则经过两个刃所形成的顶点(即刀尖);
Clamp the product to be processed on the machining fixture of the machine tool, take the vertex of the edge of the product to be processed as the origin O, take the direction of the spindle axis as the X-axis direction, and take the direction of the line connecting the O point and the center of the grinding wheel as the Y-axis direction , the Z axis is perpendicular to XY, and the XYZ coordinate system is established in the processing space of the machine tool. In the coordinate system, the existing shape parameters of the product to be processed and the shape parameters of the target product that needs to be processed, that is, the product to be processed is in The state before and after processing is modeled, the processing motion trajectory is simulated, the processing kinematics research is carried out, and the contact trajectory of the grinding tool such as the grinding wheel is determined. Here, the origin O coordinate is set as When the contemporary processing product has a micro scalpel with two blades, the Y-axis can pass through the center line between the two blades in the state of symmetry of the two blades, otherwise it will pass through the vertex formed by the two blades (ie the tip);
在上述坐标系中,以待加工产品在加工前后建立的模型为依据,并结合磨削加工刀具的运行参数包括触点轨迹等,建立对刀模型,确定和选择合适的对刀误差(这里的对刀误差可以在X轴方向、Y轴方向、Z轴方向进行确认,即可以存在在X轴方向的对刀误差和/或在Y轴方向的对刀误差和/或在Z轴方向的对刀误差的多个可能。In the above coordinate system, based on the model of the product to be processed before and after processing, combined with the operating parameters of the grinding tool including the contact trajectory, etc., the tool setting model is established, and the appropriate tool setting error is determined and selected (here The tool setting error can be confirmed in the X-axis, Y-axis, and Z-axis directions, that is, there may be tool-setting errors in the X-axis direction and/or tool-setting errors in the Y-axis direction and/or alignment errors in the Z-axis direction. Multiple possibilities for tool error.
在本方案中,经过确认,可以发现对刀误差主要为在Y轴方向的对刀误差Δy, 对刀误差Δy为以Δt为自变量的函数,该函数的一种展示方式为:满足
其中θ为刃倾角,h、R、d为依据代加工产品图纸计算得到的已知常量)以及建立误差补偿方案,这里设定刀触点坐标向量为
其中xi、yi、zi分别为刀触点在机床中的位置表示,li、mi、ni则为刀触点法向量在x轴、y轴、z轴方向各自的分量,并确定刀触点的加工运动模型:
并获得各轴的运动量为γ=-sin
-1l
i或γ=cos
-1m
i,其中,dx、dy、dz分别为机床x轴、y轴、z轴的运动数学表达式,γ则为机床C轴转角,Rp为机床所使用的砂轮外径;θ为所加工微型刀具的刃倾角,L为砂轮中心到旋转中心的距离;
In this scheme, after confirmation, it can be found that the tool setting error is mainly the tool setting error Δy in the Y-axis direction, and the tool setting error Δy is a function with Δt as the independent variable. Among them, θ is the blade inclination angle, h, R, and d are known constants calculated according to the drawings of the OEM product) and establish an error compensation scheme. Here, the coordinate vector of the tool contact is set as Among them, xi, yi, and zi are the position representation of the tool contact in the machine tool, respectively, and li, mi, and ni are the respective components of the normal vector of the tool contact in the x-axis, y-axis, and z-axis directions, and determine the position of the tool contact. Processing kinematic model: And the motion amount of each axis is obtained as γ=-sin -1 l i or γ=cos -1 m i , where dx, dy, and dz are the mathematical expressions of the motion of the x-axis, y-axis, and z-axis of the machine tool, and γ is is the C-axis rotation angle of the machine tool, Rp is the outer diameter of the grinding wheel used by the machine tool; θ is the edge inclination angle of the machined micro-tool, and L is the distance from the center of the grinding wheel to the center of rotation;
依据解算结论,对加工机床进行设定,对待加工产品进行磨削加工,加工后的产品经过检验为合格品,在进行批次重复生产中,批次产品的品质具有较好的重复性。According to the solution conclusion, the machine tool is set, the products to be processed are ground, and the processed products are inspected as qualified products. In the repeated production of batches, the quality of batch products has good repeatability.
在上述方案中,步骤C中刀触点在X-Y-Z坐标系做平移变换时,采用D-H变换并满足A
j=Trans(d
x,d
y,d
z)A
i,其中
同时,刀触点在做绕Z轴做旋转变换时,也可以采用D-H变换并满足A
j=Rot(z,γ)A
i,其中
In the above scheme, in step C, when the tool contact is translated in the XYZ coordinate system, DH transformation is adopted and A j =Trans(d x , d y , d z )A i is satisfied, where At the same time, when the knife contact is rotated around the Z axis, DH transformation can also be used to satisfy A j =Rot(z,γ)A i , where
作为一种更具体的实施方式的展示:As a demonstration of a more specific implementation:
结合图1所示,本实施例提出了一种微型刀具的刃磨工艺,包括步骤:With reference to Fig. 1, the present embodiment proposes a sharpening process for a micro-tool, including the steps:
1、砂轮磨削方式的选择;1. The choice of grinding wheel grinding method;
2、机床运动学分析;2. Machine tool kinematics analysis;
3、对刀方法选择;3. Selection of tool setting method;
4、对刀误差分析及补偿。4. Tool setting error analysis and compensation.
结合图2所示,本机床加工时采用逆时针磨削的方式。工件材料为不锈钢,当采用顺时针磨削时,由于不锈钢韧性较好,会导致工件向外“拉”,影响工件的锋利度,因此采用逆时针磨削。Combined with Fig. 2, the machine tool adopts counterclockwise grinding method during processing. The workpiece material is stainless steel. When clockwise grinding is used, due to the good toughness of stainless steel, the workpiece will be "pulled" outward, which will affect the sharpness of the workpiece, so counterclockwise grinding is used.
图3为机床加工的模拟轨迹,以工件的顶点作为工件坐标系的原点。Figure 3 shows the simulated trajectory of machine tool processing, and the vertex of the workpiece is used as the origin of the workpiece coordinate system.
工件坐标系原点O的坐标及向量为:The coordinates and vectors of the origin O of the workpiece coordinate system are:
刀触点坐标及向量可以表达为:The knife contact coordinates and vectors can be expressed as:
xi、yi、zi分别为刀触点在机床中的位置表示,li、mi、ni则为刀触点法向量在x轴、y轴、z轴方向各自的分量。xi, yi, and zi are the positions of the tool contacts in the machine tool, respectively, and li, mi, and ni are the respective components of the normal vector of the tool contacts in the x-axis, y-axis, and z-axis directions.
此时只要刀触点坐标与变换后的原点坐标及向量重合即可完成加工。向量重合是指实际坐标和方向一致,即运动学公式左右两边相等。At this time, as long as the tool contact coordinates coincide with the transformed origin coordinates and vectors, the machining can be completed. Vector coincidence means that the actual coordinates and directions are consistent, that is, the left and right sides of the kinematic formula are equal.
由D-H变换可知,沿X、Y、Z轴做平移变换时的公式为:It can be seen from the D-H transformation that the formula for translational transformation along the X, Y, and Z axes is:
A
j=Trans(d
x,d
y,d
z)A
i.
A j =Trans(d x , dy ,d z )A i .
这里是机床中点沿着x轴、y轴、z轴的坐标表换的表达式,Ai、Aj为坐标变换前后点的通用表示方法,不需要实际表示出。Here is the expression for the coordinate transformation of the machine center point along the x-axis, y-axis, and z-axis. Ai and Aj are the general representation methods of the points before and after the coordinate transformation, and do not need to be actually expressed.
其中in
此时,绕Z轴做旋转变换的公式为:At this point, the formula for the rotation transformation around the Z axis is:
A
j=Rot(z,γ)A
i
A j =Rot(z,γ)A i
同上所述,这是机床中点绕着C轴旋转的坐标表换的表达式,Ai、Aj为坐标变换前后点的通用表示方法,不需要实际表示出,γ为C轴转角。As mentioned above, this is the expression of the coordinate transformation of the center point of the machine tool rotating around the C axis. Ai and Aj are the general representation methods of the points before and after the coordinate transformation, and do not need to be actually expressed. γ is the C axis rotation angle.
其中in
本机床加工时,砂轮的旋转中心为a点并非b点,故计算开始时先计算a点坐标,再进行旋转,再进行平移变换,最后再平移a’点坐标与刀触点重合。When this machine tool is processing, the rotation center of the grinding wheel is point a, not point b. Therefore, at the beginning of the calculation, the coordinates of point a are calculated first, then rotated, and then translated, and finally the coordinates of point a' are translated to coincide with the contact point of the tool.
图3所示的加工过程为砂轮的运动过程的模拟,在加工过程中工件固定在工作台上,砂轮沿着工件的轨迹运动。求解运动学公式的思路为让工件坐标系与砂轮坐标系重合,从而进行坐标变换将工具与工件刀触点相重合。由于砂轮在运动过程中是随着机床主轴而运动,故砂轮的旋转中心不是砂轮的中心点b,而是机床主轴上的a点,a点与砂轮中心点b点在同一直线上,故在求解运动学逆解公式时,应从a点开始计算。首先计算b点坐标,经平移变换至a点,再进行旋转变换,最后平移a’点与工件刀触点相重合,故机床加工运动学公式为:The processing process shown in FIG. 3 is a simulation of the movement process of the grinding wheel. During the processing, the workpiece is fixed on the worktable, and the grinding wheel moves along the trajectory of the workpiece. The idea of solving the kinematics formula is to make the coordinate system of the workpiece coincide with the coordinate system of the grinding wheel, so that the coordinate transformation is performed to coincide the tool and the contact point of the workpiece knife. Since the grinding wheel moves with the spindle of the machine tool during the movement, the rotation center of the grinding wheel is not the center point b of the grinding wheel, but point a on the spindle of the machine tool. Point a and the center point b of the grinding wheel are on the same straight line, so in When solving the kinematic inverse solution formula, the calculation should start from point a. First calculate the coordinates of point b, transform to point a through translation, and then perform rotation transformation, and finally translate point a' to coincide with the contact point of the workpiece tool, so the kinematics formula of machine tool processing is:
L为砂轮中心到旋转中心的距离,即线段ab的长度;Rp为机床所使用的砂轮外径;θ为所加工微型刀具的刃倾角;其余参数与上文所述一致。砂轮的旋转方向 垂直于工件,工件平放在与地面平行的工作台上;b点为砂轮的中心点,a点为砂轮的转动中心点,砂轮到主轴的距离即为ab的长度,即L。L is the distance from the center of the grinding wheel to the center of rotation, that is, the length of the line segment ab; Rp is the outer diameter of the grinding wheel used by the machine tool; θ is the edge inclination angle of the machined micro-tool; the rest of the parameters are consistent with the above. The rotation direction of the grinding wheel is perpendicular to the workpiece, and the workpiece is placed on the worktable parallel to the ground; point b is the center point of the grinding wheel, point a is the center of rotation of the grinding wheel, and the distance from the grinding wheel to the spindle is the length of ab, namely L .
计算得到各轴运动量,即机床运动学逆解公式:Calculate the movement amount of each axis, that is, the inverse solution formula of machine tool kinematics:
刀具磨抛首先要考虑刀刃的刃倾角θ,刃倾角在一定程度上影响刀具的锋利度,刃倾角也是我们计算切点位置的重要依据,由于砂轮半径远远大于工件刀刃轨迹尺寸,所以砂轮在工件表面形成的切削面可以近似的看成平面,该平面与水平面的夹角即为刃倾角,也是切削点的切线与水平面的夹角,所以得出结论,刃倾角就是切削点与圆心的连线与Z轴负方向所成角度,如图4所示。Tool grinding and polishing should first consider the edge inclination angle θ of the blade. The blade inclination angle affects the sharpness of the tool to a certain extent. The blade inclination angle is also an important basis for us to calculate the position of the tangent point. Since the radius of the grinding wheel is much larger than the size of the workpiece blade trajectory, the grinding wheel is in The cutting surface formed by the surface of the workpiece can be approximately regarded as a plane. The angle between the plane and the horizontal plane is the inclination angle of the blade, and it is also the angle between the tangent of the cutting point and the horizontal plane. Therefore, it is concluded that the inclination angle of the blade is the connection between the cutting point and the center of the circle. The line forms an angle with the negative Z-axis, as shown in Figure 4.
当刃倾角确定时,切削点的理论Z坐标Z
1与砂轮最低点的Z坐标Z
2的关系为,砂轮半径为Rp:
When the edge inclination angle is determined, the relationship between the theoretical Z coordinate Z 1 of the cutting point and the Z coordinate Z 2 of the lowest point of the grinding wheel is as follows, and the grinding wheel radius is Rp:
Z
1=Z
2-(R
p-R
p*cosθ) (1)
Z 1 =Z 2 -(R p -R p *cosθ) (1)
对刀时先旋转C轴(C轴指绕Z轴轴线方向作旋转运动的轴)至机械坐标90°位置(图3中0点垂直于纸面的位置),摇动手轮调整砂轮中心线与刀具中心线重合,此时下降砂轮至最低点,当砂轮刚好触碰刀具时得到Z
2,在通过公式(1)得到Z
1,输入至数控系统工件坐标系中。考虑到工件的厚度,还需要将Z坐标补偿0.1mm左右,以减小误差。得到Z坐标后,调整C轴至机械坐标0°位置,下降Z至Z
1坐标,将砂轮靠近刀具,当砂轮触碰刀尖时,记录相应的X、Y坐标,输入到数控系统中,完成对刀。大量的实验表明,由于对刀存在误差,加工后的工件必然与需求的加工结果有误差。这种误差由分析可知,Z坐标的对刀误差可以忽略不计,又因为砂轮具有一定的厚度,保证了X轴的对刀误差也可以忽略,所以对加工结果影响最大的是Y坐标的误差,记为Δy。
When setting the tool, first rotate the C-axis (the C-axis refers to the axis that rotates around the Z-axis axis) to the mechanical coordinate 90° position (the position where the 0 point in Figure 3 is perpendicular to the paper), and shake the handwheel to adjust the center line of the grinding wheel and The center line of the tool coincides. At this time, the grinding wheel is lowered to the lowest point. When the grinding wheel just touches the tool, Z 2 is obtained, and Z 1 is obtained by formula (1), which is input into the workpiece coordinate system of the CNC system. Considering the thickness of the workpiece, it is also necessary to compensate the Z coordinate by about 0.1mm to reduce the error. After getting the Z coordinate, adjust the C axis to the 0° position of the mechanical coordinate, drop the Z to Z 1 coordinate, and bring the grinding wheel close to the tool. When the grinding wheel touches the tool tip, record the corresponding X and Y coordinates, and input them into the numerical control system. On the knife. A large number of experiments have shown that due to the error of the tool setting, the processed workpiece must have errors with the required processing results. This error can be seen from the analysis that the tool setting error of the Z coordinate can be ignored, and because the grinding wheel has a certain thickness, it ensures that the tool setting error of the X axis can also be ignored, so the Y coordinate error has the greatest impact on the machining results. Denoted as Δy.
加工过程中即使加工轨迹偏离理想轨迹,砂轮还是会在工件上磨出一段存在 误差的刀刃轨迹面,这样的轨迹肯定是存在误差的,这就需要根据加工出的工件所反馈的信息,来推算出对刀点的Y坐标需要补偿多少,即使补偿数据不能做到非常精确,但补偿后的轨迹一定是非常接近理想轨迹,这时只需要用显微镜观察刃口的刃磨程度进行微调就可以快速得到理想轨迹。During the machining process, even if the machining trajectory deviates from the ideal trajectory, the grinding wheel will still grind a section of the blade trajectory surface with errors on the workpiece. Such trajectory must have errors, which needs to be calculated according to the feedback information of the processed workpiece. How much should be compensated for the Y coordinate of the tool setting point? Even if the compensation data cannot be very accurate, the compensated trajectory must be very close to the ideal trajectory. At this time, it is only necessary to use a microscope to observe the sharpening degree of the cutting edge and make fine adjustments to quickly get the ideal trajectory.
以右圆弧刃为研究对象,推导对刀误差补偿公式。在之前的分析中,得出结论为对刀点Y坐标的误差是主要考虑的,根据前文描述的加工原理易知,同一段刃上的不同刀触点的误差都是相同的Δy,如图5中所示的存在误差的轨迹2、轨迹3、轨迹4与理想轨迹1之间的误差。Taking the right arc edge as the research object, the tool setting error compensation formula is deduced. In the previous analysis, it is concluded that the error of the Y coordinate of the tool setting point is the main consideration. According to the processing principle described above, it is easy to know that the errors of different tool contacts on the same blade are the same Δy, as shown in the figure Errors between trajectory 2, trajectory 3, trajectory 4 with errors shown in 5, and ideal trajectory 1.
在研究过程中,以任取一个触点为例。将加工过的工件向平面(该平面为图6所在的纸面方面,工件的轴心与该平面平行,并且工件的刃部垂直于纸面)内投影,在垂直于工件轴线方向,或者说工件坐标系Y轴方向,取一条直线,这条线与刀尖垂直距离为l,简称L线,同时,L线必须与A、B两条刃相交,与右圆弧刃外侧交点记为C,内侧交点记为B,由于工件刀刃轨迹是圆弧,补出整圆,圆心为O,O到L线的垂线交点记为A,画半径OD(长度记为R)使其过B点,与刀刃轨迹交与D点,D点就是任意选择的L线得到的右圆弧刃的某一刀触点,示意图如图6所示,这时研究D点的误差就可以得到整体的对刀误差。根据工件图纸上的参数,可以获得的量为OA、R、l和B点所在位置工件的厚度h,OA长度记为d,线段BC的值为需要测量的数据,记为Δt;In the research process, take any contact point as an example. Project the processed workpiece into the plane (the plane is the plane of the paper where Figure 6 is located, the axis of the workpiece is parallel to the plane, and the blade of the workpiece is perpendicular to the plane of the paper), in the direction perpendicular to the axis of the workpiece, or In the Y-axis direction of the workpiece coordinate system, take a straight line. The vertical distance between this line and the tool tip is l, referred to as the L line. At the same time, the L line must intersect with the two edges of A and B, and the intersection point with the outside of the right arc edge is marked as C. , the inner intersection is recorded as B. Since the workpiece blade trajectory is an arc, a complete circle is filled, the center of the circle is O, the intersection of the vertical line from O to L is recorded as A, and the radius OD (length is recorded as R) is drawn to pass point B , and the blade trajectory intersects with point D. Point D is a certain knife contact point of the right circular arc edge obtained by the arbitrarily selected L line. The schematic diagram is shown in Figure 6. At this time, the overall tool setting can be obtained by studying the error of point D. error. According to the parameters on the workpiece drawing, the quantity that can be obtained is the thickness h of the workpiece at the positions of points OA, R, l and B, the length of OA is recorded as d, and the value of line segment BC is the data to be measured, recorded as Δt;
根据建立好的数学模型,可以知道AC的长度为:According to the established mathematical model, the length of AC can be known as:
所以,AB的长度为:So, the length of AB is:
由勾股定理可以得出OB的长度为:According to the Pythagorean theorem, the length of OB can be obtained as:
根据这些数据可以推导出线段BD的长度为:
According to these data, the length of line segment BD can be deduced as:
将工件沿OD截开,刀触点D的刀刃截面可能的加工结果如图7所示。The workpiece is cut along OD, and the possible machining results of the cutting edge section of the tool contact D are shown in Figure 7.
误差Δy的值即为理想的BD宽度与实际的BD宽度的差值,则Δy的表达公为:The value of the error Δy is the difference between the ideal BD width and the actual BD width, then the expression of Δy is as follows:
Δy为以Δt为自变量的函数,式中的h、R、d是根据工件图纸上的参数计算得到,视为已知量,刃倾角θ在加工前选定,也是已知常量。同理的,B刃的误差补偿方法和公式与A刃相同。Δy is a function with Δt as the independent variable. In the formula, h, R and d are calculated according to the parameters on the workpiece drawing, which are regarded as known quantities. The blade inclination angle θ is selected before machining and is also a known constant. Similarly, the error compensation method and formula of edge B are the same as those of edge A.
在前文中引入了L线的概念,同时也知道,同样的对刀误差值,任意L线对应的Δy是相同的,由上一节内容可知,L
1对应的BD
1为:
The concept of L line was introduced in the previous article. At the same time, it is also known that for the same tool setting error value, the Δy corresponding to any L line is the same. From the content of the previous section, BD 1 corresponding to L 1 is:
L
2对应的BD
2为:
BD 2 corresponding to L 2 is:
由于Δl
实际=BD
1-BD
2,因此Δl
实际、Δl
理论分别为:
Since Δl actual =BD 1 -BD 2 , Δl actual and Δl theory are respectively:
α——刀面坡度角α——Cutter face slope angle
所以理论上不同L线对应的BD实际值之差与Δy无关,仅受l值的影响,故Δl
实际=Δl
理论。这里论证了BD实际值的影响因素。
Therefore, in theory, the difference between the actual values of BD corresponding to different L lines has nothing to do with Δy, and is only affected by the value of l, so Δl actual = Δl theory . The influencing factors of the actual value of BD are demonstrated here.
对于本领域技术人员而言,显然本发明不限于上述示范性实施例的细节,而且在不背离本发明的精神或基本特征的情况下,能够以其他的具体形式实现本发明。因此,无论从哪一点来看,均应将实施例看作是示范性的,而且是非限制性的,本发明的范围由所附权利要求而不是上述说明限定,因此旨在将落在权利要求的等同要件的含义和范围内的所有变化囊括在本发明内。It will be apparent to those skilled in the art that the present invention is not limited to the details of the above-described exemplary embodiments, but that the present invention may be embodied in other specific forms without departing from the spirit or essential characteristics of the invention. Therefore, the embodiments are to be regarded in all respects as illustrative and not restrictive, and the scope of the invention is to be defined by the appended claims rather than the foregoing description, which are therefore intended to fall within the scope of the claims. All changes within the meaning and scope of the equivalents of , are included in the present invention.
此外,应当理解,虽然本说明书按照实施例加以描述,但并非每个实施例仅包含一个独立的技术方案,说明书的这种叙述方式仅仅是为清楚起见,本领域技术人员应当将说明书作为一个整体,各实施例中的技术方案也可以经适当组合,形成本领域技术人员可以理解的其他实施方式。In addition, it should be understood that although this specification is described according to embodiments, not every embodiment only includes an independent technical solution, and this description in the specification is only for the sake of clarity, and those skilled in the art should take the specification as a whole , the technical solutions in each embodiment can also be appropriately combined to form other implementations that can be understood by those skilled in the art.