TWM516714U - Angular error correction device for machine tools - Google Patents
Angular error correction device for machine tools Download PDFInfo
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- TWM516714U TWM516714U TW104215584U TW104215584U TWM516714U TW M516714 U TWM516714 U TW M516714U TW 104215584 U TW104215584 U TW 104215584U TW 104215584 U TW104215584 U TW 104215584U TW M516714 U TWM516714 U TW M516714U
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本新型係涉及一種檢測裝置,尤指一種檢測並校正多軸工具機旋轉軸定位精度的檢測裝置。 The present invention relates to a detecting device, and more particularly to a detecting device for detecting and correcting the positioning accuracy of a rotating shaft of a multi-axis machine tool.
近年來許多傳統工具機的加工維度從原本的三軸提升至多軸、複合式的設計,甚至達到成為高精度、長行程的龍門機台加工機,在上述的工具機設備中,多軸工具機都擁有多個旋轉件,少則一至兩個,多則至六個以上,將愈來愈多的旋轉元件運用於機械設備是產業上的趨勢,因此旋轉元件的旋轉軸的定位精度,在未來的精密機械加工設備上將會扮演相當重要的角色。 In recent years, the processing dimensions of many traditional machine tools have been upgraded from the original three-axis to multi-axis, composite design, and even to the high-precision, long-stroke gantry machine. In the above-mentioned machine tool, multi-axis machine tool There are a plurality of rotating parts, ranging from one to two, and more than six. The application of more and more rotating components to mechanical equipment is an industrial trend, so the positioning accuracy of the rotating shaft of the rotating element will be in the future. The precision machining equipment will play a very important role.
關於工具機旋轉元件的精度,在國際標準組織(International Organization for Standardization,ISO)的草案規範中,記載了五軸工具機旋轉元件的雙向定位精度必須在16角秒(arc-sec)以內的標準,為達到此標準的要求,建立偵測、補正工具機旋轉元件精度的檢測與技術,是提升產品的品質至符合國際標準的最有效與最直接的方式。 Regarding the accuracy of the rotating element of the machine tool, in the draft specification of the International Organization for Standardization (ISO), the standard for bidirectional positioning accuracy of the rotating element of the five-axis machine tool must be within 16 arc seconds (arc-sec). In order to meet the requirements of this standard, the detection and correction of the accuracy of the rotating components of the tooling machine is the most effective and direct way to improve the quality of the product to meet international standards.
量測工具機的系統,已經發展相當久的歷史。以下分別介紹目前常見的五軸加工機檢測旋轉平台轉動誤差的技術,與該些現有技術存 在的問題: The system of measuring machine tools has been developed for a long time. The following describes the techniques commonly used in the current five-axis machining machine to detect the rotation error of the rotating platform, and these prior art technologies are In the question:
1、量測加工中心偏擺角或傾斜軸的量測工具(API角度分割儀Swivel check),是利用水平儀架設於上轉盤,上轉盤架設於工具機傾斜軸上,工具機旋轉一角度,上轉盤反轉一相同角度,在量取水平儀之誤差值則為工具機傾斜軸角度定位誤差,此檢測技術只適用於傾斜軸。 1. Measuring tool for measuring the yaw angle or tilting axis of the machining center (API angle splitter Swivel check) is to use the level meter to erect on the upper turntable. The upper turntable is mounted on the tilting axis of the machine tool, and the machine tool rotates at an angle. The turntable is reversed at the same angle, and the error value of the measuring level is the tilting angle of the machine tool. This detection technique is only applicable to the tilting axis.
2、無線旋轉軸校正儀,是利用外部一高精度旋轉平台搭配雷射干涉儀作為量測基準,檢測上轉盤與下工具機旋轉軸誤差,將外部旋轉平台架設於工具機旋轉軸上,此時在旋轉軸上輸入一正轉訊號時,利用外部高精度旋轉平台輸入一相同的反轉訊號,再利用外部干涉儀檢測兩個旋轉軸相對誤差,由於是以外部的旋轉軸作為對比,因此只能量測兩旋轉軸之間的光學編碼器或線性光學尺誤差。 2. The wireless rotary axis correcting instrument uses an external high-precision rotating platform with a laser interferometer as a measurement reference to detect the error of the rotating shaft of the upper turntable and the lower machine tool, and the external rotating platform is mounted on the rotating shaft of the machine tool. When a forward rotation signal is input on the rotating shaft, an external reverse rotation signal is input by the external high-precision rotating platform, and the relative error of the two rotating shafts is detected by the external interferometer, because the external rotating shaft is used as a contrast, Only energy measures the optical encoder or linear optical scale error between the two rotating axes.
3、自動視準儀搭配12面或24面稜鏡,利用測量光源經多面稜鏡反射後所產生極小的角度原理,可以檢測出分度盤與轉盤的角度誤差,但由於12面或24面稜鏡本身就存在著各面相對角度的誤差,且12面或24面稜鏡中心和分度盤與轉盤軸中心需吻合否則會造成一弦波誤差。 3, the automatic collimator with 12 or 24 faces, using the measurement of the light source through the multi-faceted reflection of the resulting small angle principle, can detect the angular error of the index plate and the turntable, but because of 12 or 24 faces The flaw of the relative angle of each surface exists in the 稜鏡 itself, and the center of the 12-sided or 24-sided 和 and the indexing disc and the center of the turntable shaft need to be matched, otherwise a sine wave error will be caused.
綜上所述,可得知現有用於多軸工具機的旋轉角度檢測裝置,主要是以外加的專用儀器檢測角度誤差,或者以內、外部旋轉軸的相對比較來計算結果,且架設時間過長,如何針對多軸工具機的旋轉平台進行誤差的量測且進行補償,是當前重大需要改進的關鍵技術。 In summary, it can be known that the existing rotation angle detecting device for the multi-axis machine tool mainly detects the angle error by an external special instrument, or calculates the result by relative comparison of the inner and outer rotating shafts, and the erection time is too long. How to measure and compensate the error of the rotating platform of the multi-axis machine tool is the key technology that needs to be improved at present.
本新型有鑑於現有檢測多軸工具機旋轉軸的裝置,都需要架設於工具機外部的儀器需要寬廣的量測環境,且架設時間冗長,特經過不 斷的試驗與研究,終於發展出一種能改進現有缺失之本新型。 In view of the existing device for detecting the rotating shaft of the multi-axis machine tool, the instrument that needs to be mounted outside the machine tool needs a wide measurement environment, and the installation time is long, and the special time is not Breaking experiments and research have finally developed a new type that can improve existing defects.
本新型主要在於提供一種工具機旋轉軸定位精度檢測裝置,是設置在一工具機,該工具機是數值控制工具機,並且包括:一感測模組,該感測模組設有一懸吊座,在該懸吊座的頂部設有一連接桿,以該連接桿結合在該工具機,在該懸吊座安裝兩感測器,該兩感測器的感測方向交錯,將前述感測方向交錯的區域設為一圓球量測區;一圓球固定組,該圓球固定組設有一磁性座,以該磁性座設置在該工具機,在該磁性座結合一延伸桿,在該延伸桿的自由端結合一圓球,以將該圓球伸入該感測模組的圓球量測區;以及一計算機,該計算機電連接該工具機與該感測模組,接收兩感測器以及該工具機的數據進行程式運算。 The present invention mainly provides a tool machine rotating shaft positioning accuracy detecting device, which is disposed in a machine tool, which is a numerical control tool machine, and includes: a sensing module, the sensing module is provided with a suspension seat a connecting rod is arranged on the top of the suspension seat, and the connecting rod is coupled to the machine tool, and two sensors are installed on the suspension seat, and the sensing directions of the two sensors are staggered, and the sensing direction is The staggered area is set as a sphere measuring area; a ball fixed group, the ball fixing group is provided with a magnetic seat, and the magnetic seat is disposed on the machine tool, and the magnetic seat is combined with an extension rod at the extension rod The free end is combined with a ball to extend the ball into the sphere measuring area of the sensing module; and a computer electrically connecting the machine tool and the sensing module, receiving the two sensors and the The data of the machine tool is used for program operation.
進一步,本新型所述的工具機包括一主軸、一旋轉平台,以及一控制器,所述的感測模組以所述的連接桿固定在該主軸的底端,所述的圓球固定座以該磁性座磁吸固定在該旋轉平台,所述的計算機與該控制器電連接。 Further, the machine tool of the present invention comprises a spindle, a rotating platform, and a controller, wherein the sensing module is fixed to the bottom end of the spindle by the connecting rod, the ball fixing seat The magnetic base is magnetically fixed to the rotating platform, and the computer is electrically connected to the controller.
進一步,本新型所述懸吊座設有一頂板,在該頂板的四周形成四個懸臂,在其中兩相鄰的懸臂設有一儀器支架,又在另兩個懸臂分別設有一光源支架,所述連接桿結合在該頂板的中央,所述感測器結合在各儀器支架,且兩感測器的感測方向交錯為直角,在各光源支架結合一光源。 Further, the suspension seat of the present invention is provided with a top plate, four cantilevers are formed around the top plate, two adjacent cantilevers are provided with an instrument bracket, and the other two cantilevers are respectively provided with a light source bracket, the connection The rod is coupled to the center of the top plate, and the sensor is coupled to each instrument bracket, and the sensing directions of the two sensors are staggered at right angles, and a light source is coupled to each light source bracket.
較佳的,本新型所述的計算機是以無線的方式接收所述兩感測器以及所述工具機的數據。 Preferably, the computer of the present invention wirelessly receives data of the two sensors and the machine tool.
較佳的,本新型所述的圓球是剛體或玻璃球體。 Preferably, the ball of the present invention is a rigid body or a glass sphere.
運用本新型時,是執行工具機旋轉軸定位精度檢測方法,其中涉及計算的部分,是使用計算機進行計算。首先轉動旋轉平台,使該圓球旋轉至任意三點,以工具機帶動該感測模組偵測該圓球位置,讀取任意三點的座標,接著利用最小平方法,求得該旋轉平台的參考軸心的座標,以該參考軸心的座標與該圓球位置的座標,計算出任意一待測位置的座標公式,並以此座標公式生成工具機的進刀路徑。 When the present invention is applied, it is a method for detecting the positioning accuracy of the rotating axis of the machine tool, and the part involved in the calculation is calculated by using a computer. Firstly, the rotating platform is rotated to rotate the ball to any three points, and the tool module is used to drive the sensing module to detect the position of the ball, read the coordinates of any three points, and then use the least square method to obtain the rotating platform. The coordinate of the reference axis is calculated from the coordinate of the reference axis and the coordinate of the position of the ball, and the coordinate formula of any position to be tested is calculated, and the path of the tool machine is generated by using the coordinate formula.
工具機帶動該圓球沿該進刀路徑移動,並在移動的路徑中任選三個以上的待測點,以該感測模組分別量測位於各待測點時的圓球,將工具機的數據與該感測模組偵測該圓球偏移的數據相加,得出所有待測點的實際座標,並以最小平方法算出實際旋轉中心;最後利用餘弦定理的公式,以前述實際旋轉中心的座標,以及工具機將圓球旋轉一原始角度前、後的起始點與終點的座標數值,計算出旋轉的實際角度,將實際角度減去原始角度,即可得出該旋轉平台的旋轉軸的角度誤差量,至此完成本新型的檢測作業。 The tool machine drives the ball to move along the infeed path, and selects more than three points to be tested in the moving path, and the sensing module respectively measures the ball at each point to be measured, and the tool The data of the machine is added to the data of the sensing module detecting the offset of the ball, and the actual coordinates of all the points to be measured are obtained, and the actual rotation center is calculated by the least square method; finally, the formula of the cosine theorem is used, The coordinate of the actual rotation center, and the coordinate value of the starting point and the end point before and after the machine tool rotates the ball to the original angle, calculate the actual angle of rotation, and subtract the original angle from the actual angle to obtain the rotation. The angular error amount of the rotating shaft of the platform, thus completing the detection operation of the present invention.
本新型對於架設環境上無特別需求,且不需要在機台外部架設儀器,可達到:1、避免誤碰,以及2、無須寬廣作業環境,以感測器任意量取三點計算其軸心位置並以生成路徑的方式來避免掉手動調整軸心的操作,因而有效降低架設時間的功效。 The new type has no special requirements for the erection environment, and does not need to be installed outside the machine table, and can reach: 1. avoid accidental collision, and 2, do not need a wide working environment, calculate the axis with three points of the sensor arbitrary amount. Position and take the path to avoid the manual adjustment of the axis, thus effectively reducing the effectiveness of the erection time.
10‧‧‧工具機 10‧‧‧Tool machine
11‧‧‧主軸 11‧‧‧ Spindle
12‧‧‧旋轉平台 12‧‧‧Rotating platform
13‧‧‧線性光學尺 13‧‧‧Linear optical ruler
20‧‧‧感測模組 20‧‧‧Sensor module
21‧‧‧懸吊座 21‧‧‧suspension
211‧‧‧頂板 211‧‧‧ top board
212‧‧‧懸臂 212‧‧‧cantilever
213‧‧‧儀器支架 213‧‧‧ instrument holder
214‧‧‧光源支架 214‧‧‧Light source bracket
22‧‧‧連接桿 22‧‧‧ Connecting rod
23‧‧‧感測器 23‧‧‧ Sensors
24‧‧‧光源 24‧‧‧Light source
A‧‧‧圓球量測區 A‧‧‧ sphere measurement area
30‧‧‧圓球固定座 30‧‧‧ ball mount
31‧‧‧磁性座 31‧‧‧Magnetic seat
32‧‧‧延伸桿 32‧‧‧Extension rod
33‧‧‧圓球 33‧‧‧ sphere
40‧‧‧計算機 40‧‧‧ computer
α‧‧‧軸心 ‧‧‧‧Axis
b‧‧‧零點 B‧‧‧00
b’‧‧‧待測點 B’‧‧‧Points to be tested
ω‧‧‧零點與X軸的夾角 Ω‧‧‧ The angle between the zero point and the X axis
θ‧‧‧待測點與零點的夾角 θ‧‧‧An angle between the point to be measured and the zero point
圖1是本新型較佳實施例的立體示意圖。 1 is a perspective view of a preferred embodiment of the present invention.
圖2是本新型較佳實施例的感測模組的立體圖。 2 is a perspective view of a sensing module of the preferred embodiment of the present invention.
圖3是本新型較佳實施例的圓球固定組的立體圖。 3 is a perspective view of a ball fixing set of the preferred embodiment of the present invention.
圖4是本新型較佳實施例運用方法的步驟流程圖。 4 is a flow chart showing the steps of the method of operation of the preferred embodiment of the present invention.
圖5是本新型較佳實施例運用方法的動作示意圖。 Figure 5 is a schematic view of the operation of the preferred embodiment of the present invention.
圖6是本新型較佳實施例運用方法的路徑計算公式座標圖。 Figure 6 is a graph showing the path calculation formula of the method of operation of the preferred embodiment of the present invention.
為能詳細瞭解本新型的技術特徵及實用功效,並可依照說明書的內容來實施,玆進一步以如圖式所示的較佳實施例,詳細說明如后,請參看圖1至圖3所示,本新型之工具機旋轉軸定位精度檢測裝置,是在工具機10安裝一感測模組20、一圓球固定組30並設有一計算機40,其中:該工具機10是數值控制的多軸工具機並包括一主軸11、一旋轉平台12、一線性光學尺13,以及一控制器(圖中未示);該主軸11可沿Z軸上、下移動,該旋轉平台12可旋轉並且可於X-Y平面移動,該線性光學尺13可量測工具機10沿X軸、Y軸或Z軸移動加工的位置,該控制器與線性光學尺13電連接並可控制工具機10的主軸10以及旋轉平台12的動作。 In order to understand the technical features and practical functions of the present invention in detail, and in accordance with the contents of the specification, the following is further described in detail with reference to the preferred embodiments shown in the drawings, as shown in FIG. 1 to FIG. In the machine tool 10, a sensing module 20, a ball fixing group 30, and a computer 40 are provided, wherein the machine tool 10 is a numerically controlled multi-axis tool. The machine includes a main shaft 11, a rotating platform 12, a linear optical scale 13, and a controller (not shown); the main shaft 11 is movable up and down along the Z axis, and the rotating platform 12 is rotatable and Moving in the XY plane, the linear optical scale 13 can measure the position of the machine tool 10 moving along the X-axis, the Y-axis or the Z-axis. The controller is electrically connected to the linear optical scale 13 and can control the spindle 10 of the machine tool 10 and rotate. The action of platform 12.
請參看圖2所示,該感測模組20設有一懸吊座21,該懸吊座21設有一頂板211,該頂板211是十字形且水平設置的板體,在頂板211的四周形成四個懸臂212,在其中兩相鄰的懸臂212的底面分別結合一儀器支架213,又在另兩個懸臂212的底面分別結合一光源支架214,在頂板211中央的頂部結合一連接桿22,該感測模組20以該連接桿22固定在主軸11的底端,在兩儀器支架213分別安裝一感測器23,感測器23可為PSD(位置感測檢測器)、CCD(電荷耦合元件)、CMOS(互補式金屬氧化物半導體元件)、二維感測器等 等可感測物體位置訊號的感測器,透過各感測器23可定義出固定於擷取畫面正中央的影像擷取中心,並計算出攝影物體中心距離影像擷取中心的距離,兩感測器23的感測方向分別平行於工具機10的X軸方向與工具機10的Y軸方向,使得兩感測器23的感測方向交錯為直角,將兩感測器23感測方向交錯的區域設為一圓球量測區A,在兩光源支架214分別安裝一光源24,各光源24的光線分別朝位於相反方向的感測器23的方向照射,提供各感測器23足夠的光線以進行影像的擷取。 As shown in FIG. 2, the sensing module 20 is provided with a suspension seat 21, and the suspension base 21 is provided with a top plate 211. The top plate 211 is a cross-shaped and horizontally disposed plate body, and four sides are formed around the top plate 211. a cantilever 212, in which a bottom surface of the two adjacent cantilevers 212 is coupled to an instrument bracket 213, and a light source bracket 214 is respectively coupled to the bottom surface of the other two cantilevers 212, and a connecting rod 22 is coupled to the top of the center of the top plate 211. The sensing module 20 is fixed to the bottom end of the main shaft 11 by the connecting rod 22, and a sensor 23 is respectively mounted on the two instrument holders 213. The sensor 23 can be a PSD (position sensing detector) and a CCD (charge coupled). Component), CMOS (complementary metal oxide semiconductor device), two-dimensional sensor, etc. The sensor that can sense the position signal of the object can define an image capturing center fixed in the center of the captured image through each sensor 23, and calculate the distance between the center of the image object and the image capturing center. The sensing directions of the detectors 23 are parallel to the X-axis direction of the machine tool 10 and the Y-axis direction of the machine tool 10, respectively, so that the sensing directions of the two sensors 23 are staggered at right angles, and the sensing directions of the two sensors 23 are staggered. The area is set to a sphere measuring area A, and a light source 24 is respectively mounted on the two light source brackets 214, and the light beams of the respective light sources 24 are respectively irradiated toward the sensors 23 in opposite directions to provide sufficient light for each sensor 23. For image capture.
請參看圖3所示,該圓球固定組30設有一磁性座31,以該磁性座31磁吸固定在該工具機10的旋轉平台12,於該磁性座31的頂部結合一朝上延伸的延伸桿32,在該延伸桿32的自由端結合一圓球33,該圓球33可為剛體也可以為玻璃球體,該圓球33可伸入該感測模組20的圓球量測區A,以兩感測器23感測該圓球33,判斷圓球33的中心是否位於感測器23的感測中心,或者算出圓球33的中心偏離感測器23的感測中心的距離;本新型是以感測圓球33的方式進行影像的比較計算,因球體轉動前、後的影像沒有差異,只有位置移動時的影像才有變化,因此利用感測圓球33的影像進行前、後影像的比較計算,不會有角度偏差的問題,可減少誤差的產生。 Referring to FIG. 3, the ball fixing group 30 is provided with a magnetic base 31. The magnetic base 31 is magnetically fixed to the rotating platform 12 of the power tool 10. The top of the magnetic base 31 is coupled to extend upward. The extending rod 32 is coupled to a ball 33 at the free end of the extending rod 32. The ball 33 can be a rigid body or a glass ball. The ball 33 can extend into the spherical measuring area A of the sensing module 20. The ball 33 is sensed by the two sensors 23, it is judged whether the center of the ball 33 is located at the sensing center of the sensor 23, or the distance of the center of the ball 33 from the sensing center of the sensor 23 is calculated; The present invention performs the comparative calculation of the image by sensing the sphere 33. Since there is no difference between the images before and after the rotation of the sphere, only the image when the position is moved changes, so the image of the sensing sphere 33 is used before, The comparison calculation of the post-image does not have the problem of angular deviation, which can reduce the occurrence of errors.
該計算機40與該控制器電連接,該計算機40是以無線或者有線的方式接收兩感測器23的數據、由線性光學尺13量測得出的工具機10加工位置座標的數據,以及該旋轉平台12旋轉角度的數據,配合載入計算機40的程式進行程式運算,將程式運算的結果,提供該控制器進行工具機10旋轉軸角度的補償。 The computer 40 is electrically connected to the controller, and the computer 40 receives data of the two sensors 23 in a wireless or wired manner, data of the position coordinates of the machine tool 10 measured by the linear optical scale 13, and the The data of the rotation angle of the rotating platform 12 is programmed in accordance with the program loaded in the computer 40, and the result of the program operation is provided to provide the controller with compensation for the rotation axis angle of the machine tool 10.
運用本新型是執行一種工具機旋轉軸定位精度檢測方法,是 利用前述新型的裝置進行工具機旋轉軸定位精度檢測的方法,主要是以工具機10內部的線性光學尺13配合感測模組20以及圓球固定組30組成的外部感應器,量取工具機10的三維座標,並利用在同一平面的旋轉軸的軸心、零點(以軸心開始旋轉的起始點)和待測點(以軸心由起始點旋轉一角度後到達的點)的三點,就能利用餘弦定理求出旋轉角度的原理,計算出角度;例如在Y-Z平面上的三點可量測出A軸各待測點的旋轉角度,由X-Z平面上的三點可量測出B軸各待測點的旋轉角度,由X-Y平面上的三點可量測出C軸各待測點的旋轉角度。 The present invention is a method for detecting the positioning accuracy of a rotating machine of a machine tool, The method for detecting the positioning accuracy of the rotating shaft of the machine tool by using the above-mentioned novel device is mainly an external optical sensor composed of the linear optical scale 13 inside the machine tool 10 and the sensing module 20 and the ball fixing group 30, and the measuring machine tool The three-dimensional coordinates of 10, and the axis of the rotation axis in the same plane, the zero point (the starting point of the rotation starting from the axis) and the point to be measured (the point reached after the axis is rotated by the angle from the starting point) At three points, the principle of the rotation angle can be obtained by using the cosine theorem to calculate the angle; for example, the three points on the YZ plane can measure the rotation angle of each point to be measured on the A axis, and the three points on the XZ plane can be measured. The rotation angles of the points to be measured of the B-axis are measured, and the rotation angles of the points to be measured of the C-axis are measured by three points on the XY plane.
由於前述方法運用在工具機10的A、B或者C三個旋轉軸的方式可以類比,因此本較佳實施例運用方法的說明僅以C軸的旋轉軸為例,其餘兩旋轉軸的方法依此類推。請參看圖4的步驟流程圖,配合圖1至圖3所示的構造,說明運用本新型較佳實施例的方法步驟:安裝設備:把連接桿22固定在工具機10的主軸11底端,將感測模組20安裝在工具機10的主軸11,並將圓球固定組30的磁性座31磁吸固定在旋轉平台12,使圓球33位於感測模組20與磁性座31之間,將計算機40與感測模組20電連接,又將計算機40與工具機10的控制器電連接。 Since the foregoing method can be analogized to the three rotation axes of A, B or C of the machine tool 10, the description of the operation method of the preferred embodiment is only taking the rotation axis of the C axis as an example, and the methods of the other two rotation axes are This type of push. Referring to the flow chart of the steps of FIG. 4, the method steps of the preferred embodiment of the present invention will be described with reference to the configuration shown in FIG. 1 to FIG. 3. The mounting device: the connecting rod 22 is fixed to the bottom end of the main shaft 11 of the machine tool 10. The sensing module 20 is mounted on the main shaft 11 of the machine tool 10, and the magnetic base 31 of the ball fixing group 30 is magnetically fixed to the rotating platform 12 so that the ball 33 is located between the sensing module 20 and the magnetic seat 31. The computer 40 is electrically connected to the sensing module 20, and the computer 40 is electrically connected to the controller of the machine tool 10.
計算參考旋轉中心:請參看圖1至圖3以及圖5,以圓球33的初始位置為任意第一點,以工具機10的主軸11帶動感測模組20,使圓球33進入圓球量測區A,待兩感測器23的感測中心與圓球33中心重合後,計算機40透過控制器的函式庫與工具機10連結,讀取線性光學尺13偵測的圓球33的座標(X1、Y1、Z1),接著主軸11帶動感測模組20移開,旋轉平台12旋轉任一角度,使圓球33轉至任意第二點,接著以主軸11帶動感測模組20,重複 前述量測的方式,讀取線性光學尺13偵測的圓球33的座標(X2、Y2、Z2),最後主軸11帶動感測模組20移開,旋轉平台12再旋轉任一角度,再使圓球33旋轉至任意第三點,接著以工具機10帶動感測模組20,重複前述量測的方式,讀取線性光學尺13偵測的圓球33的座標(X3、Y3、Z3);以上述圓球33位於任意三點的線性光學尺13偵測的座標,利用最小平方法,經由計算機40運算求得旋轉平台12的參考軸心的座標。 Calculating the reference rotation center: Referring to FIG. 1 to FIG. 3 and FIG. 5, the initial position of the ball 33 is any first point, and the sensing module 20 is driven by the main shaft 11 of the machine tool 10 to make the ball 33 enter the sphere. In the measurement area A, after the sensing center of the two sensors 23 coincides with the center of the ball 33, the computer 40 is connected to the machine tool 10 through the library of the controller, and the ball 33 detected by the linear optical scale 13 is read. The coordinates (X 1 , Y 1 , Z 1 ), then the spindle 11 drives the sensing module 20 to move away, and the rotating platform 12 rotates at any angle to rotate the ball 33 to any second point, and then the spindle 11 is driven. The measuring module 20 repeats the foregoing measurement method to read the coordinates (X 2 , Y 2 , Z 2 ) of the sphere 33 detected by the linear optical scale 13 , and finally the spindle 11 drives the sensing module 20 to move away and rotate. The platform 12 is rotated at any angle, and then the ball 33 is rotated to any third point. Then, the sensing module 20 is driven by the machine tool 10, and the measurement is repeated to read the ball detected by the linear optical scale 13. 33, coordinates (X 3, Y 3, Z 3); the above-described ball 33 is located at any of the three linear optical scale 13 to detect the coordinates of the minimal square , Determined with reference to the axis of the rotary platform 12 via the computer 40 calculating the coordinates.
生成量測用的進刀路徑碼:請參看圖6,在C軸的旋轉軸平面上,如圖所示,以該參考軸心α的座標為(0,0),零點b的座標為(X0,Y0),零點b與X軸的夾角為ω,待測點b’與零點b的夾角為θ,計算待測點b’的座標公式如下:零點b的座標為(X0,Y0)= cos(ω), sin(ω) Generate the infeed path code for measurement: Please refer to Figure 6. On the plane of the rotation axis of the C axis, as shown in the figure, the coordinate of the reference axis α is (0, 0), and the coordinate of the zero point b is ( X 0 , Y 0 ), the angle between the zero point b and the X axis is ω, the angle between the point b′ to be measured and the zero point b is θ, and the coordinate formula of the point b′ to be measured is calculated as follows: the coordinate of the zero point b is (X 0 , Y 0 )= Cos(ω) , Sin(ω)
待測點b’的座標為[ cos(ω+θ), sin(ω+θ)] The coordinates of the point to be measured b' are [ Cos(ω+θ) , Sin(ω+θ)]
cos(ω+θ)= cos θ cos ω- sin θ sin ω Cos(ω+θ)= Cos θ cos ω- Sin θ sin ω
sin(ω+θ)= cos θ sin ω- sin θ cos ω Sin(ω+θ)= Cos θ sin ω- Sin θ cos ω
所以待測點b’=(X0cos θ-Y0sin θ,X0sin θ+Y0cos θ) Therefore, the point to be measured b'=(X 0 cos θ-Y 0 sin θ, X 0 sin θ+Y 0 cos θ)
將前述待測點b’的座標公式,代入計算機40生成以數位控制代碼(NC-code)寫成的工具機10的進刀路徑,使旋轉平台12帶動圓球33於X-Y平面移動至各個待測點。 Substituting the coordinate formula of the point to be tested b' into the computer 40 to generate an infeed path of the machine tool 10 written by the digital control code (NC-code), causing the rotating platform 12 to move the ball 33 to the XY plane to be tested. point.
求出待測點的實際座標:在前述工具機10的進刀路徑上,先將主軸11沿Z軸上升,以免感測模組20與連接圓球33的延伸桿32產生碰撞,接著將圓球33移動至第一個待測點(Xp以及Yp)後,主軸11直接沿Z軸下降回原位,使圓球33進入圓球量測區A,接著兩感測器23偵測圓球33的中心距 離感測器23的感測中心的X軸方向與Y軸方向的位移量Xe以及Ye,將工具機10內部記錄的線性光學尺13的座標加上圓球33的位移量,可得出實際位置,因此第一個待測點的實際座標(Xr,Yr)=(Xp+Xe,Yp+Ye),接著重複前述的量測方式量測移至第二個待測點以及其他待測點的圓球33,得出第二個待測點的實際座標以及其他待測點的實際座標。 Obtaining the actual coordinates of the point to be measured: firstly, the spindle 11 is raised along the Z axis in the feeding path of the machine tool 10, so as to avoid the collision between the sensing module 20 and the extension rod 32 connecting the balls 33, and then the circle After the ball 33 moves to the first point to be measured (X p and Y p ), the spindle 11 directly descends to the original position along the Z axis, so that the ball 33 enters the sphere measurement area A, and then the two sensors 23 detect The center of the ball 33 is displaced from the sensing center of the sensor 23 by the X-axis direction and the Y-axis direction X e and Y e , and the coordinates of the linear optical scale 13 recorded inside the machine tool 10 are added to the ball 33. The displacement amount can be used to obtain the actual position, so the actual coordinates (X r , Y r ) of the first point to be measured = (X p +X e , Y p +Y e ), and then repeat the aforementioned measurement method measurement Move to the second point to be measured and the other ball 33 to be measured, and the actual coordinates of the second point to be measured and the actual coordinates of other points to be measured are obtained.
消除待測點傾斜角:在前述求出待測點的實際座標步驟中,由於旋轉平台12有傾斜的可能,因此求得的各個待測點的實際座標需要進行齊次座標轉換,推導出未傾斜的座標位置,齊次座標公式:若兩座標系是旋轉關係,則原座標系統繞X軸、Y軸或Z軸的旋轉角θ角(也就是傾斜角)的齊次旋轉變換矩陣分別為:
上述的θ角,以下述方式求得,是以旋轉平台12將圓球33由0度旋轉至180度,以主軸11移動感測模組20,移動至使圓球33的中心與兩感測器23的感測中心重合時,讀取工具機10的線性光學尺13數值的方式,量測圓球33同在X軸上的兩點(0度和180度)的位置,此時兩點的位置由於Y座標的值相同,因此對Y軸17傾斜角的影響可先忽略,接著將量得的0度的座 標、180度的座標以及理想上180度時圓球33應當位置的座標,利用計算機40代入餘弦定理的公式,可求得θ角,透過計算機40將所有待測點的實際座標經由前述齊次旋轉變換矩陣轉換後,可得出消除傾斜角的實際座標;然而,若旋轉平台12沒有傾斜,則運用本新型的方法可以跳過消除待測點傾斜角的步驟,直接使用所有待測點的實際座標作為後續的計算。 The θ angle described above is obtained by rotating the ball 33 from 0 degrees to 180 degrees by the rotating platform 12, moving the sensing module 20 with the spindle 11 to move to the center and the two sensing of the ball 33. When the sensing centers of the device 23 are coincident, the value of the linear optical scale 13 of the power tool 10 is read, and the position of the ball 33 on the X-axis at two points (0 degrees and 180 degrees) is measured. Since the value of the Y coordinate is the same, the influence on the tilt angle of the Y-axis 17 can be ignored first, and then the 0-degree seat is measured. The coordinates of the target, the coordinates of 180 degrees, and the coordinates at which the sphere 33 should ideally be 180 degrees, can be obtained by substituting the formula of the cosine theorem by the computer 40, and the actual coordinates of all the points to be measured are transmitted through the computer by the computer 40. After the rotation transformation matrix is converted, the actual coordinates of the elimination tilt angle can be obtained; however, if the rotation platform 12 is not tilted, the method of the novel method can skip the step of eliminating the inclination angle of the point to be measured, and directly use all the points to be measured. The actual coordinates are used as a follow-up calculation.
計算實際旋轉中心:利用最小區域圓法,將三個實際座標代入計算機40運算,求出旋轉平台12的實際旋轉中心的座標(i,j)。 The actual center of rotation is calculated: using the minimum area circle method, three actual coordinates are substituted into the computer 40 to calculate the coordinates (i, j) of the actual center of rotation of the rotating platform 12.
計算角度誤差值:在XYZ直角座標系,以前述實際旋轉中心的座標為(i,j),將旋轉平台12帶動圓球33旋轉一原始角度,圓球33旋轉前、後與實際旋轉中心之間的長度為b與c,圓球33旋轉前、後的起始點與終點之間的距離為a,以電腦40運算,代入下列餘弦定理的公式:Ω=cos-1(),可得出實際角度為Ω,將Ω減去原始角度即可得出C軸的旋轉軸的角度誤差量,透過電腦40將前述角度誤差量輸入控制器,修正工具機10旋轉軸的角度定位誤差補償值。 Calculating the angular error value: in the XYZ rectangular coordinate system, the coordinates of the actual rotation center are (i, j), and the rotating platform 12 drives the ball 33 to rotate by an original angle, before and after the rotation of the ball 33 and the actual rotation center The length between the two is b and c. The distance between the starting point and the ending point before and after the rotation of the ball 33 is a, which is calculated by the computer 40 and substituted into the formula of the following cosine theorem: Ω=cos -1 ( ), the actual angle is Ω, and the angle error of the rotation axis of the C axis is obtained by subtracting the Ω from the original angle, and the angle error amount is input to the controller through the computer 40 to correct the angle of the rotation axis of the machine tool 10. Positioning error compensation value.
以上所述,僅是本新型的較佳實施例,並非對本新型作任何形式上的限制,任何所屬技術領域中具有通常知識者,若在不脫離本新型所提技術方案的範圍內,利用本新型所揭示技術內容所作出局部更動或修飾的等效實施例,並且未脫離本新型的技術方案內容,均仍屬於本新型技術方案的範圍內。 The above description is only a preferred embodiment of the present invention, and is not intended to limit the present invention in any way. Any one of ordinary skill in the art may use the present invention without departing from the scope of the present invention. Equivalent embodiments of the novel modifications or modifications made by the novel disclosures, and without departing from the scope of the present invention, are still within the scope of the present invention.
10‧‧‧工具機 10‧‧‧Tool machine
11‧‧‧主軸 11‧‧‧ Spindle
12‧‧‧旋轉平台 12‧‧‧Rotating platform
13‧‧‧線性光學尺 13‧‧‧Linear optical ruler
20‧‧‧感測模組 20‧‧‧Sensor module
30‧‧‧圓球固定組 30‧‧‧sphere fixed group
40‧‧‧計算機 40‧‧‧ computer
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