TW523579B - Method for evaluating measurement error in coordinate measuring machine and gauge for coordinate measuring machine - Google Patents

Method for evaluating measurement error in coordinate measuring machine and gauge for coordinate measuring machine Download PDF

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Publication number
TW523579B
TW523579B TW90101765A TW90101765A TW523579B TW 523579 B TW523579 B TW 523579B TW 90101765 A TW90101765 A TW 90101765A TW 90101765 A TW90101765 A TW 90101765A TW 523579 B TW523579 B TW 523579B
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Taiwan
Prior art keywords
instrument
ball
axis
coordinate measuring
gauge
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TW90101765A
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Chinese (zh)
Inventor
Jiro Matsuda
Susumu Asanuma
Masanori Shibata
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Nat Inst Of Advanced Ind Scien
Asanuma Giken Co Ltd
Jiro Matsuda
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Priority to TW90101765A priority Critical patent/TW523579B/en
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Publication of TW523579B publication Critical patent/TW523579B/en

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Abstract

A gauge for a coordinate measuring machine has a plurality of balls whose centers are located on at least one line inclined with respect to a reference axis in a virtual reference plane. The gauge is set on a measuring table of the coordinate measuring machine. Orthogonal coordinate system having a coordinate axis identical to the reference axis is set in the virtual reference plane. The coordinates of the center of each ball are measured by the coordinate measuring machine. Thereafter, the gauge is turned and inverted by 180 degrees about the reference axis and is set again on the measuring table. The orthogonal coordinate system, having a coordinate axis identical to the reference axis, is set in the virtual reference plane. The coordinates of the center of each ball are measured in the same way as above. Thus, measurement errors of the straightness of the machine axes of the coordinate measuring machine and the orthogonality between the machine axes can be easily and precisely evaluated.

Description

523579 案號 90101765 年 月 修正 五、發明說明(1) 發明背景 發明領域 本發明 的方法,該 關於一種測量和測定座標測量儀固有誤差變化 方法用於測量,例如機械部件尺寸等,還適用 於一種座標測量儀計量器,該計量器用於測量座標測量儀 的誤差。 習知技藝之描述 在公知 的座標測量 探針頭與設 可以是機械 一般, 正交方向移 利案揭露了 式(type ) (guide ra 上延伸,待 安裝在其上 方向的水平 第二移 portion ) , 接觸設置在 (3-d i mens 根據如 的具有能沿三相互正交方向移動的可移動探針 儀中,為了測量物體的尺寸,將可移動探針的 置在測量臺上的待測量物體接觸。例如該物體 部件,如發動機的缸體或傳動齒輪箱的箱體。 在這樣的座標測量儀中,該探針可在三個相互 動。例如,公開號為Η 0 2 - 3 0 6 1 0 1的日本待審專 一種座標測量儀,其中第一龍門(g a n t r y )架 移動件(movab 1 e member )沿水平導執 i 1 )直線移動,該水平導執在測量台的相對側 測量物體在測量臺上固定住。第一移動件具有 的第二移動件,以便在垂直於第一移動件移動 方向移動。 動件具有垂直移動軸部(spindle 其前端具有探針,探針上固定有球。當使球 測量臺上的待測物體的上面時,探針在三維 i ο n a 1 )方向移動以測量物體的每部分尺寸。 上所述的座標測量儀,如果探針的球磨損了,523579 Case No. 90101765 Amended 5. Description of the invention (1) Background of the invention The method of the present invention relates to a method for measuring and determining the variation of the inherent error of a coordinate measuring instrument for measurement, such as the size of a mechanical part, etc. Coordinate measuring instrument gauge, which is used to measure the error of the coordinate measuring instrument. The description of the know-how is that the well-known coordinate measuring probe heads and devices can be mechanical, and the orthogonal direction shifting case reveals the type (guide ra) extending horizontally, the second horizontal portion of the direction to be installed on it. ), The contact is set in (3-di mens according to, for example, a movable probe that can move in three orthogonal directions, in order to measure the size of the object, the movable probe is placed on the measuring table to be measured Object contact. For example, the object part, such as the cylinder of an engine or the box of a transmission gearbox. In such a coordinate measuring instrument, the probe can move in three directions. For example, the publication number is Η 0 2-3 0 A coordinate measuring instrument for Japanese special review 6 1 0 1 in which the first gantry (movab 1 e member) moves linearly along a horizontal guide i 1), and the horizontal guide is on the opposite side of the measuring table The measuring object is fixed on the measuring table. The first moving member has a second moving member to move in a direction perpendicular to the moving direction of the first moving member. The moving part has a vertical movement axis (a spindle has a probe at the front end, and a ball is fixed on the probe. When the ball is measured on the object to be measured on the ball measuring table, the probe moves in the direction of three-dimensional i ο na 1) to measure the object Size of each part. If the ball of the probe is worn,

第4頁 523579 案號 90101765 修正 五、發明說明(2) 則不再能進行 以測量間隔設 以校正由於探 座標測量 動的導執的偏 差,或引導探 角的角度引起 在現有技 考計量器獲得 性。因此,測 近年來, 量儀的工作效 正破 置在 針球 儀的 斜或 針在 的誤 術中 座標 定座 一方 率, 寸,另一方面,從 標測 於連續 發明概 本 法而消 成與座 的誤差 本 的座標 用於座 互正交 使用座 述 發明的 除上述 標測量 測定。 發明的 測量儀 種根據 標測量 的轴上 測量。為防止這種情況,將參考計量器 測量臺上,測量參考計量器每部分尺寸 磨損產生的誤差。 測量誤差包含,由導向件,如探針頭移 扭曲引起的探針頭彎曲移動引起的誤 兩相互正父方向移動的兩導向件偏離直 差。 ,通過以不同方向設置在測量堂上的參 測量儀的導向件平直度或導向件的正交 標測量儀誤差的測量工作費時費工。 面,在公司或工廠中已經提高了座標測 以便確定精確而複雜的機加工工件的尺 經濟觀點來看或考慮到實際應用,趨向 量儀而不必定期地檢查其性能。 個目的是通過提供一種測定測量誤差的方 缺點,其中可以方便而精確地完 的平直度和儀器軸的正交性有關 現有技術的 儀中儀器軸 另一目的是提供一種實現測量誤差測定方法 計量器。 本發明的座 儀的誤差測 相對於待測 標測量儀的測量誤差測定方法應 定,其中探針頭在三個不同的相 量物體移動。Page 4 523579 Case No. 90101765 Amendment V. Description of the Invention (2) It is no longer possible to set the measurement interval to correct the deviation of the guide due to the probe coordinate measurement movement, or the angle of the guide detection angle caused by the existing technical tester Acquired. Therefore, in recent years, the working efficiency of the measuring instrument is broken in the tilt of the needle ball instrument or the misalignment of the needle during the operation. On the other hand, it is eliminated from the calibration in the continuous invention method. The coordinates of the error book with the coordinates are used for orthogonal measurement of the coordinates. The invented measuring instrument measures on the axis according to the standard measurement. To prevent this, the reference gauge is measured on the measuring table to measure the error caused by the wear of each part of the reference gauge. Measurement errors include errors caused by bending movements of the probe head caused by guide members, such as probe head movement and twisting. It is time-consuming and labor-intensive to measure the straightness of the guides of the reference meters or the orthogonal calibration of the guides that are set on the measuring hall in different directions. On the other hand, coordinate measurement has been improved in companies or factories to determine the size of accurate and complex machined workpieces. From an economic point of view or considering practical applications, trend gauges do not have to periodically check their performance. The purpose is to provide a method for measuring the measurement error, in which the straightness and the orthogonality of the instrument axis can be conveniently and accurately completed. Related to the prior art instrument axis, another purpose is to provide a method for measuring measurement error. Meter. The error measurement of the base station of the present invention should be determined relative to the measurement error measurement method of the target measuring instrument, in which the probe head moves on three different phasor objects.

第5頁 523579 修正 案號 901Q1765 五、發明說明(3) 根據本發明的一種現象,提供一種用於測定座標測量 儀測量誤差的方法,其中探針頭沿三相互正交的儀器軸相 對於待測量物體移動,包括: 第一步驟,在座標測量儀的測量臺上設置用於所述測 量儀的計量器,該計量器具有多個球,球的中心在至少一 相對於計量器的參考軸傾斜的直線上排成一行,該參考軸 處於一虛擬參考面内並沿虛擬參考面延伸,使得參考軸與 座標測量儀的三個儀器軸之一平行並使得虛擬參考面與座 標測量儀的剩下兩儀器軸任一軸平行; 第二步驟,設定正交座標系,其中座標軸之一與虛擬 參考面内的參考軸方向相同,使得通過座標測量儀測量每 個球中心相對於所述兩儀器軸的座標; 第三步驟,繞參考軸將座標測量儀計量器旋轉1 8 0 度,並再次在座標測量儀的測量臺上設置計量器;以及 第四步驟,設定正交座標,其中座標軸之一與虛擬參 考面内的參考軸方向相同,使得通過座標測量儀測量每個 球中心相對於兩儀器軸的座標。 可以根據在第二步驟中獲得的垂直於座標測量儀的計 量器參考軸方向的第i個球中心座標Y i以及在第四步驟中 獲得的垂直於座標測量儀的計量器參考軸方向的第i個球 中心座標Y ’ i通過計算最大值和最小值之間的差值(丫卜 Y ’ 1 )/ 2,測定在參考軸方向的儀器軸平直度。 而且,在一個實施例中,從在第二步驟中獲得的在計 量器參考轴方向和垂直於該爹考轴的方向上的球中心座標Page 523579 Amendment No. 901Q1765 V. Description of the invention (3) According to a phenomenon of the present invention, a method for measuring a measurement error of a coordinate measuring instrument is provided, in which the probe head is aligned along three mutually orthogonal instrument axes with respect to Measuring the movement of an object comprises: a first step, setting a measuring device for the measuring device on a measuring table of the coordinate measuring device, the measuring device having a plurality of balls, the center of the ball being at least one reference axis relative to the measuring device; The inclined straight lines are lined up. The reference axis is in a virtual reference plane and extends along the virtual reference plane, so that the reference axis is parallel to one of the three instrument axes of the coordinate measuring instrument and the virtual reference plane is Any two axes of the lower two instrument axes are parallel; in the second step, an orthogonal coordinate system is set, in which one of the coordinate axes is in the same direction as the reference axis in the virtual reference plane, so that the center of each ball is measured with respect to the two instrument axes by a coordinate measuring instrument The third step is to rotate the coordinate measuring instrument gauge by 180 degrees around the reference axis, and set the measurement on the measuring table of the coordinate measuring instrument again. ; And a fourth step of setting the orthogonal coordinates, wherein like reference axes in one coordinate axis with the virtual reference plane direction, such that each ball through the center coordinate measuring instrument measuring instrument with respect to two coordinate axes. According to the i-th ball center coordinate Y i perpendicular to the direction of the gauge reference axis of the coordinate measuring instrument obtained in the second step and the first The coordinates of the i-ball centers Y'i are determined by calculating the difference between the maximum and minimum values (Yab 1'2) / 2 to determine the straightness of the instrument axis in the direction of the reference axis. Moreover, in one embodiment, the coordinates of the center of the ball in the direction of the reference axis of the meter and in the direction perpendicular to the dacao axis obtained in the second step

第6頁 523579 _案號90101765_年月曰 修正__ 五、發明說明(4) 而獲得一回歸線,由此計算該一回歸線和參考軸之間的角 度0 ;此後從在第四步驟中獲得的在計量器參考軸方向和 垂直於參考軸的方向上的球中心座標獲得一回歸線,由此 計算該回歸線和參考軸之間的角度0 ’ ,從而使用(<9-0 ’)/ 2測定平行於虛擬參考面的兩儀器軸的正交性。 根據本發明的另一現象,提供一種座標測量儀計量 器,包括; 多個球,座標測量儀的探針頭與球進行接觸;以及 ^ 支撐所述球的支架,所述球沿一條線排列,該線傾斜 於處於虛擬參考面内並沿所述虛擬參考面延伸的參考軸, 所述支架能連接到座標測量儀上,使得虛擬參考面平行於 座標測量儀的兩可選擇的儀器軸,並使得參考軸平行於兩 儀器軸中之一軸。 最好,支架由梯形塊製成,使得將球沿每條與梯形塊 的非平行斜面平行的斜線佈置和安裝。 最好,支架由具有梯形通孔的塊製成,使得將球沿每 條與通孔的相對非平行斜面平行的線佈置和安裝。 本發明之詳細描述 本發明適用於測定座標測量儀的測量誤差,以便當使 探針頭與物體接觸時,通過在三正交軸方向移動探針頭來 測量設置在測量臺上待測量物體每部分尺寸。 座標測量儀的誤差測定包括通過測量兩分隔點之間間 距而獲得的測量值相對純值的誤差測定,通過沿儀器座標 軸移動探針獲得直線測量值測定,以及兩座標軸正交性的Page 6 523579 _Case No. 90101765_ Year Month Amendment __ V. Description of the Invention (4) A regression line is obtained, from which the angle 0 between the regression line and the reference axis is calculated; thereafter obtained from the fourth step Obtain a regression line for the coordinates of the center of the ball in the direction of the reference axis of the gauge and in a direction perpendicular to the reference axis, and calculate the angle 0 'between the regression line and the reference axis, using (&9; 9-0') / 2 Measure the orthogonality of the two instrument axes parallel to the virtual reference plane. According to another phenomenon of the present invention, there is provided a coordinate measuring instrument gauge, comprising: a plurality of balls, a probe head of the coordinate measuring instrument is in contact with the ball; and a bracket supporting the ball, the balls are arranged along a line The line is inclined to a reference axis located in a virtual reference plane and extending along the virtual reference plane, and the bracket can be connected to a coordinate measuring instrument so that the virtual reference plane is parallel to two selectable instrument axes of the coordinate measuring instrument, Make the reference axis parallel to one of the two instrument axes. Preferably, the bracket is made of a trapezoidal block so that the balls are arranged and installed along each oblique line parallel to the non-parallel slope of the trapezoidal block. Preferably, the bracket is made of a block having a trapezoidal through-hole so that the balls are arranged and mounted along each line parallel to the relatively non-parallel slope of the through-hole. Detailed description of the present invention The present invention is suitable for measuring the measurement error of a coordinate measuring instrument, so that when the probe head is brought into contact with an object, each of the objects to be measured provided on the measuring table is measured by moving the probe head in the direction of three orthogonal axes. Partial dimensions. The error measurement of the coordinate measuring instrument includes the measurement of the relative pure value of the measured value obtained by measuring the distance between two separated points, the measurement of the straight line measurement value by moving the probe along the axis of the instrument, and the orthogonality of the two coordinate axes.

523579 _案號 9Q1Q1765_ 年月曰___ 五、發明說明(5) 測定。 對於上述誤差測定,使用座標測量儀計量器,該計量 器具有多個球,球的中心位於並沿著在虛擬參考面内相對 於參考軸的傾斜方向延伸的斜線。523579 _ Case No. 9Q1Q1765_ Year, month and month ___ V. Description of the invention (5) Determination. For the above error measurement, a coordinate measuring machine is used, which has a plurality of balls, the center of which is located along and along an oblique line extending in an inclined direction with respect to the reference axis in the virtual reference plane.

在座標測量儀的誤差測量過程中,球與探針頭相接 觸。球的表面經過研磨而獲得具有預定直徑的高精度球 面,每個球由具有低熱係數的硬材料製成,如陶曼材料。 球固定在支架上,該支架通過安裝固定架或夾具安裝 -在座標測量儀的測量臺上。支架可以由具有低熱係數的高 剛性材料製成,如花崗岩或非收縮鋼等。 在座標測量儀中,支架可以由基本平面梯形塊製成。 球固定在塊(支架)一個或兩個斜的或非平行表面,使得 連接球中心的直線或線與斜面平行延伸。 最好垂直於包括直線的虛擬參考面的線在梯形塊的厚 度方向延伸,參考軸垂直於梯形塊的平行側面(底或頂側 面)。During the error measurement of the coordinate measuring instrument, the ball is in contact with the probe head. The surface of the ball is ground to obtain a high-precision spherical surface having a predetermined diameter, and each ball is made of a hard material having a low thermal coefficient, such as a Taurman material. The ball is fixed on a stand, which is mounted by a mounting bracket or fixture-on the measuring table of a coordinate measuring instrument. The bracket can be made of a highly rigid material with a low thermal coefficient, such as granite or non-shrinkable steel. In coordinate measuring instruments, the bracket can be made of a substantially planar trapezoidal block. The ball is fixed to one or two oblique or non-parallel surfaces of the block (bracket) so that the straight line or line connecting the center of the ball extends parallel to the oblique surface. Preferably, the line perpendicular to the virtual reference plane including the straight line extends in the thickness direction of the trapezoidal block, and the reference axis is perpendicular to the parallel side (bottom or top side) of the trapezoidal block.

如果支架由等腰梯形塊製成,該等腰梯形塊的兩非平 行側表面(斜面)上設置球,最好連接球中心的兩直線包 括在虛擬參考面内,並相對於包括在虛擬參考面内的參考 軸對稱佈置。 作為選擇,可以將支架製成具有梯形通孔的基本平 塊,其中球排成直線並固定到梯形通孔的一個或兩個相對 斜的或非平行側面,使得連接球中心的直線與相應斜面平 行延伸。If the bracket is made of an isosceles trapezoid, the ball is set on the two non-parallel side surfaces (slopes) of the isosceles trapezoid. It is better to include the two straight lines connecting the center of the ball in the virtual reference plane and relative to the virtual reference plane. The reference axes in the plane are arranged symmetrically. Alternatively, the bracket can be made into a basic flat block with a trapezoidal through-hole, in which the balls are arranged in a straight line and fixed to one or two relatively oblique or non-parallel sides of the trapezoidal through-hole, so that the line connecting the center of the ball with the corresponding bevel Extend in parallel.

第8頁 523579 案號 90101765 修正 五、發明說明(6) 在後一選 參考面 形狀, 此 梯形通 接球中 包括在 根 量儀的 中校正 虛擬參 因 正交方 座標來 置。 可 points 球佈置 每個斜 面,使 如 量器座 而正交 應 包括在 參考軸 外,如 孑L的兩 的兩 虛擬參 據本發 誤差, 支架的 考面與 此,根 向垂直 參考) 以根據 )定義 在梯形 面上的 得可將 禾θ又且 標與正 座標的 指出的 擇中, 支架厚 垂直于 果通孔 非平行 直線包 考面中 明,為 將計量 方向, 剩下的 據使參 於參考 ,測量 至少計 虛擬參 的兩斜 每排球 計量器 了計量 交座標 座標軸 是通過 直線最好垂 度方向延伸 梯形通孔的 呈等腰梯形 側面(斜面 括在^一虛擬 的參考軸對 了採用座標 器設置在座 使得參考軸 兩儀器軸平 考轴方向設 軸方向的正 座標測量儀 直於 的直 上下 的形 )上 參考 稱佈 測量 標測 與一 行延 置在 交座 計量 虛擬參 線,該 平行側 式並且 ,貝1J最 面中, 置。 儀計量 量儀的 個儀器 伸。 虛擬平 標軸( 器的每 考面,該虛擬 支架是以塊的 面。 球佈置在等腰 好在斜面上連 兩直線相對於 器測量座標測 測量臺上,其 軸平行延伸, 面上並使相互 可作為計量器 個球中心位 量器上的三個分隔點(space 考面。如果計量器由梯形塊構成,則 面(非平行面)上,通過測量佈置在 的兩端部球的中心位置定義虛擬參考 座標設置在虛擬參考面上。 器座標系,則可以一個接一個地使計 一致(可將其作為儀器座標參考), 與座標測量儀的儀器軸一致。 測量球面上的五個分隔點來測定每個Page 8 523579 Case No. 90101765 Amendment V. Description of the invention (6) In the latter choice of reference surface shape, this trapezoidal contact ball is included in the calibration of the root measuring instrument and the virtual parameters are set by orthogonal coordinates. Each bevel can be arranged on the points ball so that if the gauge base is orthogonal, it should be included outside the reference axis, such as the two virtual parameters of 孑 L. According to the error, the test surface of the bracket is perpendicular to the reference. According to the definition of DEK defined on the trapezoidal surface, the angle θ and the standard and positive coordinates are selected. The thickness of the bracket is perpendicular to the non-parallel straight line of the through hole. Make reference, measure at least two oblique virtual parameters. Each volleyball is measured. The coordinate coordinate axis is an isosceles trapezoidal side that extends the trapezoidal through-hole through a straight line with the best sag direction. The oblique surface is enclosed by a virtual reference axis. The shape of the reference coordinate measurement measurement and a row extended at the intersection measurement virtual parameters are used when the coordinate device is set on the base so that the reference axis and the two instrument axes are parallel to the axis. Line, the parallel side type, and the shell 1J is placed at the center. Gauge measurement instrument extension. Virtual horizontal axis (Each test surface of the device, the virtual support is a block surface. The ball is arranged on the isosceles and on the inclined surface with two straight lines relative to the device measurement coordinate measuring table, the axis of which extends parallel to the surface and It can be used as the three separation points on the center of the ball of the meter (space test surface. If the meter is made of trapezoidal blocks, then on the surface (non-parallel plane), measure the The center position defines the virtual reference coordinate set on the virtual reference plane. For the device coordinate system, you can make the gauges one by one (which can be used as the reference of the instrument coordinates), which is consistent with the instrument axis of the coordinate measuring instrument. Separate points to determine each

第9頁 523579 案號 90101765 年 月 曰 修正 五、發明說明 球的中心 完成該測 例如 量兩次五 個點和在 以確定圓 可以 一排球的 測量時, 這使測量 當以 參考軸旋 上設置計 度的改變 標的球的 因此 球的中心 比較而測 當設 參考軸旋 的測量值 可以 (Yi — Y, 示當設置 (7) 位置。當根據球的預定純直徑值確定球的球度時 定。 ,為測量每個球的中心,採用座標測量儀探針測 個點的位置,該五個點包括在每個球赤道上的四 一個極點的點,並將其與球的預定純直徑值比較 球的球度。 以這樣一種方法完成球中心位置的測量,即先從 第一球到最後一球相繼測量,當完成最後一球的 以相反順序從最後一球到第一球相繼進行測量。 工作穩定。 計量器座標測量所有球的中心位置時,計量器繞 轉並改變1 8 0度,由此再在座標測量儀的測量臺 量器,以便再測定計量器座標。因此,對於1 8 0 位置,以與上述相同的方法測量對於於計量器座 中心位置。 ’根據這樣獲得的球中心位置的測量’計鼻特定 和剩餘球的中心之間的間距,並將其與預定純值 定誤差。 置座標測量儀計量器使其前側面朝上時,以及繞 轉1 8 0度而設置在座標測量儀上時,通過將獲得 進行平均而獲得誤差測定。 測定在參考軸方向延伸的儀器軸的平直度,作為 i )/ 2的最大值和最小值之間的偏差,其中Y i表 座標測量儀計量器並使其前側面朝上時獲得的在Page 9 523579 Case No. 90101765 Amendment V. Invention Description The center of the ball completes the measurement, such as measuring two points five times, and when determining the circle can be measured in a volley, this makes the measurement set on the reference axis. The measured change of the target ball is measured based on the comparison of the center of the ball, and the measured value of the reference axis spin can be set (Yi — Y, shown when the (7) position is set. When the ball's sphericity is determined according to the predetermined pure diameter value of the ball In order to measure the center of each ball, the position of a point is measured using a coordinate measuring probe, and the five points include four pole points on the equator of each ball, which are compared with the ball's predetermined purity. The diameter value compares the sphericity of the ball. The measurement of the center position of the ball is completed in such a way that the first ball to the last ball are successively measured. When the last ball is completed, the last ball to the first ball are sequentially reversed. Measure. Work is stable. When the gauge coordinates measure the center position of all balls, the gauge revolves and changes 180 degrees, and then the gauge is measured at the measuring table of the coordinate measuring instrument to determine the gauge base. . Therefore, for the 180 position, measure the center position of the gauge base in the same way as above. 'Based on the measurement of the center position of the ball obtained in this way', measure the distance between the nose specific and the center of the remaining ball, and The error is determined from the predetermined pure value. When the coordinate measuring instrument is placed with its front side facing up, and when it is placed on the coordinate measuring instrument by rotating 180 degrees, the error measurement is obtained by averaging the obtained values. The straightness of the instrument axis extending in the direction of the reference axis is taken as the deviation between the maximum value and the minimum value of i) / 2, where the Y i coordinate measuring instrument is measured with its front side facing up.

第10頁 523579 修正 案號 90101765 五、發明說明(8) 垂直於參考軸的方向上第i個球的中心座標,Y ’ i表示當座 標測量儀計量器繞參考軸旋轉1 8 0度並設置在座標測量儀 的測量臺上時獲得的在垂直於參考軸的方向上第i個球的 中心座標。 當座標測量儀計量器前側面朝上設置時,根據在參考 轴方向的第i個球中心的座標X i和垂直於該參考軸的方向 上的Y i i座標,採用最小平方方法獲得回歸線,而由此計 算在回歸線和參考軸之間的角度0 。 當座標測量儀計量器繞參考軸旋轉1 8 0度並設置在測 量臺上時,根據在參考軸方向的第i個球中心的座標X i和 垂直於該參考軸的方向上的Y ’ i座標,採用最小平方方法 獲得回歸線,而由此計算在回歸線和參考軸之間的角度 0 ’。這樣,可以根據(Θ _ 0 ’)/ 2的值測定與虛擬參考 面平行的兩儀器軸的正交性。 這樣,可以通過改變座標測量儀計量器關於座標測量 儀測量台的設置角度來測定任何儀器軸的平直度和兩儀器 軸之間的正交性,使得參考軸與座標測量儀的一個儀器軸 平行,並使得虛擬參考面與剩餘兩儀器軸平行。 參照圖1顯示之座標測量儀計量器,根據本發明,該 計量器設置在座標測量儀上以測定誤差。由圖1可見,座 標測量儀計量器1,使用夾具(安裝固定架)5安裝在夾具 板4上,夾具板4設置在座標測量儀2的測量台3上。 座標測量儀2包括龍門架式可移動框架6,將該框架6 製成在測量台3的相對側面以便在X方向滑動;頂部7,通Page 10 523579 Amendment No. 90101765 V. Description of the invention (8) The center coordinate of the i-th ball in the direction perpendicular to the reference axis, Y'i means when the coordinate measuring instrument rotates around the reference axis by 180 degrees and sets The center coordinate of the i-th sphere in the direction perpendicular to the reference axis when obtained on the measuring table of a coordinate measuring instrument. When the front side of the coordinate measuring instrument is set up, the regression line is obtained by the least square method according to the coordinates X i of the i-th ball center in the direction of the reference axis and Y ii in the direction perpendicular to the reference axis. From this, the angle 0 between the regression line and the reference axis is calculated. When the coordinate measuring instrument is rotated 180 degrees around the reference axis and set on the measuring table, according to the coordinates X i of the i-th center of the ball in the direction of the reference axis and Y 'i in the direction perpendicular to the reference axis Coordinates, the regression line is obtained using the least square method, and the angle 0 'between the regression line and the reference axis is calculated from this. In this way, the orthogonality of the two instrument axes parallel to the virtual reference plane can be determined based on the value of (Θ _ 0 ′) / 2. In this way, the flatness of any instrument axis and the orthogonality between the two instrument axes can be determined by changing the setting angle of the coordinate measuring instrument about the coordinate measuring instrument measuring table, so that the reference axis and an instrument axis of the coordinate measuring instrument Parallel and make the virtual reference plane parallel to the two remaining instrument axes. Referring to the coordinate measuring machine gauge shown in FIG. 1, according to the present invention, the measuring machine is provided on the coordinate measuring machine to determine the error. It can be seen from FIG. 1 that the coordinate measuring instrument gauge 1 is mounted on a fixture plate 4 using a fixture (a mounting fixture) 5, and the fixture plate 4 is arranged on the measuring table 3 of the coordinate measuring instrument 2. The coordinate measuring instrument 2 includes a gantry-type movable frame 6, which is made on the opposite side of the measuring table 3 so as to slide in the X direction; the top 7, through

第11頁 523579Page 523579

2可移動框架6支撐該頂部7以在垂直於χ方向的γ方向滑 $ ;以及升/降軸8,該升/降轴8由項部?支撐以在向上和向 對"】^ ”垂户直於Υ方向的Ζ方向上移動,使得可以相 1::二 或相互正交方向移動和安置固定在提 升軸8的下端的探針9。 ^文&你狄 可移動框架6、頂部7和提井也Q > 軸方向移動。具有軸Χ、¥和2在座標測量儀2的儀器 儀器座標系統。 、坐々系作為儀器座標系或 如圖2所示,探針9包括連接 9Α。支撐軸9Α具有固定於其上 升/降軸8下端的支撐轴2 The movable frame 6 supports the top 7 to slide $ in the γ direction perpendicular to the χ direction; and the ascending / descending axis 8, which is composed of the neck part? The support is moved in the Z direction which is upward and opposite "] ^ "Tarabetsu straight to the Υ direction, so that it can move and place the probe 9 fixed to the lower end of the lifting shaft 8 in the direction of 1 :: 2 or mutually orthogonal ^ Text & You can move the frame 6, the top 7 and the lift well also Q > axis direction. It has an instrument coordinate system with axes X, ¥ and 2 in the coordinate measuring instrument 2. The coordinate system is used as the instrument coordinate As shown in Fig. 2, the probe 9 includes a connection 9A. The support shaft 9A has a support shaft fixed to the lower end of the ascending / descending shaft 8.

具有測量球9 β。 、/、、 固支軸9 C,每個支軸9 C 四個支轴9 C在四個方向徑向延 置,使得兩個軸9C平行於χ軸延伸,’〗成90度角度偏 平面内的Υ輪,而第五個支軸9 平行於水 伸。每個測量球9B由石更的抗腐姓材直方向即在2軸方向延 或陶瓷等,星右褚—+ > 垃抖製成,如人造紅寶石 在尸進〔、,有疋1徑精度精加工球面。 在&準測量工作中’在探針9 人 量球9Β與放置在座標測量儀2的測】台且L支軸, 動機組的工件& _ 。 乍為測ΐ物如發 測精加工表:” ::表面接觸。測量探針9的位移以檢 儀器座標,該位移是使測量球9Β從 觸位置。位置移向球接觸工件精加工表面的接 方向選擇要;:根據待測量的精加工表面的位置或 觸工件精加工表面的測量球9 B。 " 驗座標測量儀2本身的精度並對其進行標定,With measuring ball 9 β. 、 / 、、 Fixed support shafts 9 C, each support shaft 9 C, four support shafts 9 C are radially extended in four directions, so that the two shafts 9C extend parallel to the χ axis, and the plane is inclined at 90 degrees The inner stern wheel, while the fifth fulcrum 9 extends parallel to the water. Each measuring ball 9B is made of Shi Geng's anti-corrosion material in the straight direction, that is, in the 2 axis direction or ceramic, etc. Xingyou Chu— + > Precision-finished spherical surface. In the & quasi-measurement work, 'the probe 9 human measuring ball 9B and the measuring table placed on the coordinate measuring instrument 2] and the L support shaft, the workpiece of the moving unit & _. At first glance, the measurement table is as follows: ": Surface contact. The displacement of the measuring probe 9 is to check the coordinates of the instrument. This displacement is to move the measuring ball 9B from the touch position. The position moves toward the surface where the ball contacts the finished surface of the workpiece. Selection of connection direction: According to the position of the finished surface to be measured or the measuring ball 9 B touching the finished surface of the workpiece. &Quot; Check the accuracy of the coordinate measuring instrument 2 and calibrate it,

523579 修正 案號 90101765 五、發明說明(ίο) 使用如圖1所示的座標測量儀計量器1代替工件,由此測定 其測量誤差。 在所說明之實施例中的座標測量儀計量器1具有由在 平面圖中的呈等腰梯形形式的均勻厚度塊製成的支架1 0和 多個球1 1,這些球1 1沿梯形塊1 0的每個相對的非平行或斜 邊緣面彼此等間距排列和分隔開,如圖1、3、5、7所示。 在所說明之實施例中,支架1 0可由花崗岩製成,因為 這些材料具有低熱膨脹係數並受溫度變化的影響小。對支 架1 0的每個表面精加工以獲得高精確研磨表面。支架1 0具 有在厚度方向即在其主表面之間延伸的四個通孔10Α。 通孔1 0 Α有助於減小重量並易於支架的操縱。通孔1 0 A 與側面1 0 B —起部分適於將支架1 0安裝於安裝夾具(工 具)5,該側面1 0 B與梯形支架的下底面一致,下面將對其 進行說明。 每個球1 1均由高精確精加工陶瓷製成並具有預定直徑 和高度球面。五個球11沿直線設置在的支架的每個斜側面 上,使得球1 1的中心等間距間隔。 需要指出的是,特別如圖6所示,在支架1 0每個斜面 上設置有與球1 1 一致的錐形凹槽,球1 1最好通過粘結劑粘 結在相應凹槽的周邊。523579 Amendment No. 90101765 V. Description of the Invention (ί) The coordinate measuring instrument 1 shown in Fig. 1 is used instead of the workpiece to measure its measurement error. The coordinate measuring instrument 1 in the illustrated embodiment has a stand 10 made of a block of uniform thickness in the form of an isosceles trapezoid in the plan view, and a plurality of balls 1 1 which follow the trapezoidal block 1 Each of the opposite non-parallel or beveled edges of 0 are arranged and separated from each other at equal intervals, as shown in Figures 1, 3, 5, and 7. In the illustrated embodiment, the bracket 10 may be made of granite because these materials have a low coefficient of thermal expansion and are less affected by temperature changes. Each surface of the support 10 is finished to obtain a highly accurate ground surface. The bracket 10 has four through holes 10A extending in the thickness direction, that is, between its main surfaces. The through hole 10 A helps reduce weight and facilitates manipulation of the stand. The through hole 1 0 A and the side 10 B are suitable for mounting the bracket 10 on a mounting fixture (tool) 5. The side 10 B is consistent with the lower bottom surface of the trapezoidal bracket, which will be described below. Each ball 11 is made of highly-accurate precision-finished ceramics and has a spherical surface of a predetermined diameter and height. Five balls 11 are arranged on each oblique side of the stand along a straight line so that the centers of the balls 11 are equally spaced. It should be noted that, as shown in FIG. 6 in particular, a tapered groove consistent with the ball 1 1 is provided on each inclined surface of the bracket 10, and the ball 11 is preferably bonded to the periphery of the corresponding groove by an adhesive. .

圖3顯示了座標測量儀計量器1,計量器1通過安裝夾 具(工具)5連接到夾具板4上。計量器1牢固連接到安裝 夾具5上,使得與梯形塊的底面一致的支架1 0側面1 0 B緊靠 在設置在安裝夾具5 —端的直立相接板5 A上,鄰近側面1 0 BFig. 3 shows a coordinate measuring machine gauge 1, which is connected to a fixture plate 4 through a mounting clamp (tool) 5. The gauge 1 is firmly connected to the mounting fixture 5 so that the bracket 1 0 side 1 0 B which is consistent with the bottom surface of the trapezoidal block abuts on the upright contact plate 5 A provided at the end of the mounting fixture 5 and is adjacent to the side 1 0 B

第13頁 523579 ------ 案號 9Q101765 年月 日_修正 · 五、發明說明(U) 的一對通孔1 Ο A的内表面受相應夾子1 2的推壓而由此推壓 側面1 Ο B,使其靠著相接板5 A。 如圖4所示,安裝夾具5包括基板5B,相接板5A—端固 定在基板5B上,延伸板5C固定在基板5B上,並在與基板5β 的帶有相接板5 Α的端部相對的一端的方向伸出。 每個夾子12具有夾杆12A,該夾杆12A向著相接板5八延 伸並可在其軸向移動。當設置在夹杆基端的相應操作環 1 2 B通過相聯螺旋機構(未圖示)手動旋轉時,進行夹杆 1 2 A的軸向移動(延伸和縮回)。Page 13 523579 ------ Case No. 9Q101765 _Revision · V. Description of the invention (U) The inner surface of a pair of through holes 1 0 A is pushed by the corresponding clip 12 and thus pushed Side 1 〇 B, 5 A against the abutment plate. As shown in FIG. 4, the mounting jig 5 includes a base plate 5B, an end of the contact plate 5A is fixed on the base plate 5B, an extension plate 5C is fixed on the base plate 5B, and an end portion with the contact plate 5 A of the base plate 5β The opposite end protrudes. Each clip 12 has a clip lever 12A which extends toward the abutment plate 5 and is movable in its axial direction. When the corresponding operation ring 1 2 B provided at the base end of the clamp lever is manually rotated by an associated screw mechanism (not shown), the clamp lever 1 2 A is axially moved (extended and retracted).

兩支撐銷13没置在基板5B上靠近相接板5A,一個支撐 銷設置在延伸板5C上。支撐銷1 3緊靠座標測量儀計量器1 的支架1 0以便固定住支架1 〇。銷1 3連接支架1 〇的下主面以 在支架1 0和基板5 B之間產生間隙。 在顯示的實施例中,在基板5 B、延伸板5 C和相接板5 A 中形成大量安裝孔,夾子安裝塊5D和支撐銷13通過選擇的 一個孔h固定在基板5B和5C上,使得可以根據安裝孔h的間 距有選擇地確定其位置。應該理解安裝孔h還可用作支撐 螺栓(未圖示)的螺栓插入孔以便將安裝夾具5固定到史 具板4上。Two support pins 13 are not disposed on the base plate 5B near the abutting plate 5A, and one support pin is provided on the extension plate 5C. The supporting pin 13 is abutted against the bracket 10 of the coordinate measuring machine 1 so as to fix the bracket 10. The pin 13 is connected to the lower main surface of the bracket 10 to create a gap between the bracket 10 and the substrate 5B. In the illustrated embodiment, a large number of mounting holes are formed in the base plate 5 B, the extension plate 5 C, and the abutting plate 5 A. The clip mounting block 5D and the support pin 13 are fixed to the base plates 5B and 5C through a selected hole h. This makes it possible to selectively determine the position of the mounting hole h according to the pitch of the mounting hole h. It should be understood that the mounting hole h can also be used as a bolt insertion hole of a support bolt (not shown) to fix the mounting jig 5 to the history board 4.

下面將說明採用計量器1測定座標測量儀2的測量誤差 的過程。 圖5顯示當計量器1如圖1所示設置在座標測量儀2上時 的計量器1平面圖。設置座標測量儀計量器1,使得支架i 〇 的縱中心軸與基本平行於儀器軸χ延伸的參考軸N精確重 523579 案號 90101765 五、發明說明(12) 合0The process of measuring the measurement error of the coordinate measuring instrument 2 using the meter 1 will be described below. Fig. 5 shows a plan view of the meter 1 when the meter 1 is set on the coordinate measuring device 2 as shown in Fig. 1. Set the coordinate measuring instrument gauge 1 so that the longitudinal center axis of the bracket i 〇 and the reference axis N extending substantially parallel to the instrument axis χ are precisely weighted 523579 Case No. 90101765 V. Description of the invention (12) 0

如圖5所示,在顯示實施例的座標測量儀計量哭 10個球U全都關於參考袖N沿支架1〇的相對的非平; 稱棑列,使得在一側的球的中心等間职門As shown in FIG. 5, the coordinate measuring instrument in the display example measures 10 balls U all about the reference sleeve N relative to the non-flat surface along the bracket 10; called the queuing so that the center of the ball on one side is equal. door

u讲々古# ^ ^ u 寻間距間搞開並在直線LI L2上排成一直線。 -“間距間隔開並在直線 為清楚起見,分別假定沿線L 1的球丨丨 沿線L 2的球1 1是球S 6至S 1 0。通過座样、、目丨曰'' ' , >罢产掘 ^ n压铩测1儀2從測量球S1 中心位置座私的測1開始測量工作。在該工作中,讯 探針9上的測量球9Bh9B5相繼在五個點接觸球si,ς五個 點包括在球S1赤道上的四個點’這些點是點ρι、Ρ2、?3和 一個在直徑方向上與Ρ2相對的沒有示出的點,以及在極點 ^的點Ρ5。例如,接觸點Ρ1、Ρ5、ρ3和徑向相對接觸點ρ2 疋連、、、員 人個地和測ϊ球9 Β 1接觸的,然後接觸點ρ 2與 測量球9Β5接觸,如圖6所示。然後可以根據接觸點的位置 用幾何方法確定球S1的中心位置。需指出的是,在圖6 中’所示的五個球9 B都和球S 1接觸。但是,實際上,一次 只有一個球9B接觸球si。 需要指出的是,”赤道(equat〇r ) ”指的是球S1的大 圓周’ $大圓周包括球S1的直徑並處於垂直平面上,該垂 直平面疋垂直於圖5平面的平面,與參考軸N平行,,,極,,指 的是在球S1上遠離支架丨〇的相聯側面的點,該點距垂直平 面的間距最大。 同樣’測量在線L 1上的球S5的中心位置和在線L2上球u 讲 々 古 # ^ ^ u Find a gap between them and line up on the straight line LI L2. -"The spacing is spaced apart and in a straight line. For the sake of clarity, it is assumed that the balls along the line L 1 丨 丨 The balls 1 1 along the line L 2 are the balls S 6 to S 1 0. By the sample, the head" '', > Discontinuance ^ n pressure measurement 1 instrument 2 starts the measurement work from the measurement position S1 at the center of the measurement ball S1. In this work, the measurement balls 9Bh9B5 on the probe 9 contact the ball si at five points one after the other The five points include four points on the equator of the ball S1. These points are the points p1, P2,? 3, and a point not shown in the diameter direction opposite to P2, and the point P5 at the pole ^. For example, the contact points P1, P5, ρ3 and the radially opposite contact point ρ2 are connected to each other, and each of them is in contact with the measuring ball 9 Β1, and then the contact point ρ2 is in contact with the measuring ball 9B5, as shown in Fig. 6 Then, the center position of the ball S1 can be determined geometrically based on the position of the contact point. It should be noted that the five balls 9 B shown in FIG. 6 are all in contact with the ball S 1. However, in reality, once There is only one ball 9B touching the ball si. It should be noted that "equat0r" refers to the large circle of the ball S1 '$ The large circle includes the ball S1 The diameter is in a vertical plane, which is perpendicular to the plane of the plane of FIG. 5 and is parallel to the reference axis N. The pole refers to a point on the ball S1 away from the associated side of the bracket. The distance from the vertical plane is the largest. Also 'measure the center position of the ball S5 on the line L 1 and the ball on the line L2

第15頁 523579 案號 90101765 年 月 曰 修正 五、發明說明(13) S 6和S 1 0的中心位置。結果可以確定包括四個球S 1、S 5、 S 6和S 1 0中心的虛擬參考面。 因此,設置好座標測量儀計量器1相關的座標系即計 量器座標系,其中由軸” Απ和參考軸N之間的相交點確定原 點〇,其中軸” Aπ代表連接球S 1和S 1 0中心的直線。相交點 處於軸"A"的中點。 計量器座標系統與具有分別與在虛擬參考面中的參考 軸N和軸"A"相同的兩正交軸X和Y的正交座標系統對應。計 量器座標系統與設置在座標測量儀2的儀器軸方向上的儀 器座標系統逐一地對應。因此在計量器座標系統中可找到 每個球中心的座標。 在座標測量儀的設置位置處設定好座標後,依次相繼 測量球S1至S 1 0的中心位置,然後以相反次序即以從S 1 0至 S1的次序相繼測量球S 1 0至S 1的中心位置。即以S 1 — S 1 0、 S1 0 - S 1、S1 — S1 0和S1 0 — S 1的次序完成四次測量。換句 話說,在從S 1移向S1 0過程中和從S 1 0返回S 1過程中測量每 個球的中心位置各兩次,總計為四次。 此後,座標測量儀計量器繞參考軸N旋轉(翻轉)1 8 0 度並再次設置在安裝夾具5上。以與如上所述相同的過程 確定虛擬參考面和軸"A ”,新計量器座標系設置在座標測 量儀計量器1上。 因此,對於計量器1的翻轉位置,以與計量器1原始位 置同樣的方法測量球S 1至S 1 0的中心位置,總共相繼測量 四次。此後,再完成計量器1每側面的包括四次向前測量Page 15 523579 Case No. 90101765 Month Amendment V. Description of the invention (13) Center position of S 6 and S 1 0. As a result, a virtual reference plane including the centers of the four balls S1, S5, S6, and S10 can be determined. Therefore, the coordinate system related to the coordinate measuring instrument 1 is set as the coordinate system of the gauge, where the origin is determined by the intersection point between the axis "Aπ and the reference axis N, where the axis" Aπ represents the connecting balls S 1 and S 1 0 center line. The point of intersection is at the midpoint of the axis " A ". The gauge coordinate system corresponds to an orthogonal coordinate system having two orthogonal axes X and Y which are identical to the reference axis N and the axis "A" in the virtual reference plane, respectively. The coordinate system of the scale corresponds to the coordinate system of the instrument provided in the direction of the instrument axis of the coordinate measuring instrument 2 one by one. Therefore, the coordinates of the center of each ball can be found in the gage coordinate system. After the coordinates are set at the setting position of the coordinate measuring instrument, the center positions of the balls S1 to S 1 0 are measured one after the other, and then the ball S 1 0 to S 1 are measured sequentially in the reverse order, that is, from S 1 0 to S1. Central location. That is, four measurements are performed in the order of S 1-S 1 0, S1 0-S 1, S1-S1 0, and S1 0-S 1. In other words, the center position of each ball was measured twice during the movement from S 1 to S 10 and the return from S 1 0 to S 1 for a total of four times. After that, the coordinate measuring instrument is rotated (turned over) 180 degrees around the reference axis N and set on the mounting fixture 5 again. The virtual reference plane and axis "A" are determined in the same process as described above, and the new coordinate system is set on the coordinate measuring instrument 1. Therefore, the turning position of the measuring instrument 1 is the same as that of the measuring instrument 1 Measure the center positions of the balls S 1 to S 1 0 in the same way, and measure four times in total. After that, complete four forward measurements on each side of the meter 1

§§

第16頁 523579 案號 90101765 年 月 修正 五、發明說明(14) 對於計量器1的兩個位 和四次返回測量的測量工作。即 置每個球總共測量八次。 在座標測量儀2的測量誤差測定中,採用由測量工作 獲得的球S 1至S 1 0的直徑測量和球S 1至S 1 0的球直徑純值, 首先完成關於球穩定測量的測量誤差。 此後,如圖7所示,根據計量器1前側面朝上的測量 值,分別計算球S 1中心和每個球S k中心之間的在X軸方向 (即參考軸N方向)和Y軸方向(即軸"A"方向)的内中心 間距△ X k - 1和△ Y k - 1,並將其與内中心間距的純值比較以 測定誤差,其中"kπ項表示從2至1 0的數位,該值給計算距 離球S1中心的中心間距的球賦值。如這裏所使用的,純值 是預先確定並且已知是精確的。 此後,同樣,根據計量器1旋轉1 8 0度並使其後側面朝 上的測量值,分別計算球S 1中心和每個球S k中心之間的在 A軸方向和N軸方向的内中心間距△ X ’ k - 1和△ Y ’ k - 1,並將 其與内中心間距的純值相比較以測定誤差。 這裏,將計量器1設置成前側面朝上和將計量器1翻轉 成後側面朝上時所獲得的測量的值的平均值用於測定誤 差,以便由此提高測量精度。 在所說明之實施例的座標測量儀計量器中,為了完成 座標測量儀2的按比例校準,可以通過改變呈梯形塊的支 架1 0的斜面相對於參考軸N的傾斜角而從小值到大值分別 改變球S 1和每個球S k之間的在A軸方向和在N軸方向的内中 心間距△ X’ k-1 和△ Y’ k-1。Page 16 523579 Case No. 90101765 Amendment V. Description of the invention (14) The measurement work for the two digits and four return measurements of the meter 1. Set a total of eight measurements per ball. In the measurement error measurement of the coordinate measuring instrument 2, the diameter measurement of the balls S 1 to S 1 0 and the pure values of the ball diameters of the balls S 1 to S 1 0 obtained by the measurement work are used. First, the measurement error of the ball stability measurement is completed. . Thereafter, as shown in FIG. 7, the X-axis direction (that is, the reference axis N direction) and the Y-axis between the center of the ball S 1 and the center of each ball S k are respectively calculated according to the measurement values of the front side of the meter 1 facing upward. The inner center distances △ X k-1 and △ Y k-1 in the direction (ie, the axis " A " direction) are compared with the pure value of the inner center distance to determine the error, where the term "kπ" represents from 2 to A number of 10, which is the value assigned to the ball for calculating the center-to-center distance from the center of the ball S1. As used herein, pure values are predetermined and known to be accurate. Thereafter, similarly, based on the measurement values of the meter 1 being rotated 180 degrees with its rear side facing upward, the inner distances between the center of the ball S 1 and the center of each ball Sk in the A-axis direction and the N-axis direction are calculated respectively. The center distances Δ X 'k-1 and Δ Y' k-1 are compared with the pure values of the inner center distances to determine the error. Here, the average value of the measured values obtained when the meter 1 is set with the front side facing upward and the meter 1 is turned with the back side facing upward is used to measure the error, thereby improving the measurement accuracy. In the coordinate measuring instrument gage of the illustrated embodiment, in order to complete the proportional calibration of the coordinate measuring instrument 2, it is possible to change the inclination angle of the inclined surface of the bracket 10 in a trapezoidal block with respect to the reference axis N from a small value to a large value. The values change the inner center distances Δ X ′ k-1 and Δ Y ′ k-1 in the A-axis direction and the N-axis direction between the ball S 1 and each ball Sk, respectively.

第17頁 523579 案號 90101765 年 月 曰 修正 五、發明說明(15) 此後,實現座標測量儀2的儀器軸平直度的測定。首 先從當座標測量儀計量器1設置?前側面朝上時的球S i的座 標Y i和當計量器翻轉成後側面朝上時的球S i的座標Y ’ i計 算5i=(Yi — Y’i) /2,其中Si表示第i個球。標 記n i"和n kπ都是球的自由標記。 t 圖8顯示設置在座標測量儀計量器1一側上的五個球S1 至S5的圖中繪製的(51至55的計算結果。根據的最大 值和最小值之間的差值D測定在X軸方向的儀器車由平直度。 在圖8中,最大值由5 2二(Y2 — Y’ 2 ) /2給出,最小值由 5 4= ( Y4 — Y’ 4) /2 給出。 執行球S 6至S 1 0的類似計算以獲得5 i ( i = 6 — 1 0 )的 最大值和最小值之間的差值D。差值D的平均值用於測定平 直度以提高測量精度。 此後,完成座標測量儀2兩軸之間的正交性測定。首 先參照圖9,當設置計量器1前側面朝上時,根據球S1至S 5 的中心座標通過最小平方法獲得座標軸X和五個球S1至S 5 的中心回歸線R之間的角度0 。 此後,當設置計量器1翻轉1 8 0度時時,根據球S 1至S 5 的中心座標通過最小平方法獲得座標軸X和五個球S 1至S 5 中心回歸線R ’之間的角度0 ’ 。 通過計算(0 — 0 ’)/ 2測定座標測量儀2的儀器軸的 正交性。 此外,以與球S1至S 5相同的方法測定剩下五個球S 6至 S 1 0的正交性。採用兩正交性測定結果的平均值最後測定Page 17 523579 Case No. 90101765 Month Revision V. Description of the invention (15) Thereafter, the measurement of the straightness of the instrument axis of the coordinate measuring instrument 2 is realized. First set from when the coordinate measuring instrument gauge 1? The coordinate Y i of the ball S i when the front side is up and the coordinate Y 'i of the ball S i when the meter is turned upside down are calculated as 5i = (Yi — Y'i) / 2, where Si represents the first i balls. The labels n i " and n kπ are both free labels for the ball. t FIG. 8 shows the calculation results of (51 to 55) drawn in a diagram of five balls S1 to S5 provided on one side of the coordinate measuring machine gauge 1. The difference D between the maximum value and the minimum value is determined at The instrument vehicle in the X-axis direction is flatness. In Figure 8, the maximum value is given by 5 2 two (Y2 — Y '2) / 2, and the minimum value is given by 5 4 = (Y4 — Y' 4) / 2 Perform similar calculations for balls S 6 to S 1 0 to obtain the difference D between the maximum and minimum values of 5 i (i = 6 — 1 0). The average of the difference D is used to determine the flatness To improve the measurement accuracy. After that, the orthogonality measurement between the two axes of the coordinate measuring instrument 2 is completed. Referring to FIG. 9 first, when the front side of the measuring instrument 1 is set to face up, pass the minimum plane according to the center coordinates of the balls S1 to S 5. The method obtains the angle 0 between the coordinate axis X and the central regression line R of the five balls S1 to S5. Thereafter, when the gauge 1 is set to be turned over 180 degrees, the minimum plane is passed according to the center coordinates of the balls S1 to S5. Method Obtain the angle 0 'between the coordinate axis X and the five spheres S1 to S5 central regression line R'. Determine the coordinate measuring instrument 2 by calculating (0 — 0 ') / 2 The orthogonality of the instrument axis. In addition, the orthogonality of the remaining five balls S 6 to S 1 0 was measured in the same way as the balls S1 to S 5. The average of the results of the two orthogonality measurements was used to finally determine

第18頁 523579 案號 90101765 年_ 修正 五、發明說明(16) 座標測量儀2的軸X和γ的正交性。 上述說明是針對如圖1 0 A所示進行定向並設置在座標 測量儀2上的計量器1的。另外,可以在圖1 0 B所示方向上 設置計量器1,其中計量器1的方向在X - Y平面内相對圖1 0 A 中計量器1的方向旋轉9 0度。圖1 0 B中所示的排列是用於測 定Y軸方向的儀器軸的平直度。 此外,可以將計量器1設置在如圖1 0 C所示的直立位 置,以便測定在轴X方向的儀器軸Z的偏斜和兩軸Z和X的正 交性。 另外,可以將計量器1設置在如圖1 0 D所示的直立位 置,其中直立的計量器相對圖1 0 C所示的排列繞軸Z旋轉9 0 度,以便測定軸Y方向上儀器軸Z的偏斜和兩轴Y和Z的正交 性。 圖1 1顯示根據本發明座標測量儀計量器另一實施例的 透視圖。在圖11中,計量器1’具有呈平行六面體的支架 1 0 ’和具有等腰梯形通孔1 0 ’ A的平塊。球11與前面實施例 相同,設置在梯形通孔1 0 ’ A的相對斜面上並沿平行於斜面 的線排列。 球1 1的中心排列成一直線,並沿著平行于通孔1 0 ’ A的 相對斜面的直線延伸。在顯示的實施例中,五個球1 1設置 在每個斜面上並等距離間隔開。 .在該實施例中的座標測量儀計量器Γ中,垂直於虛擬 參考面的方向,該虛擬參考面包括球1 1在其上排成一行的 線,與構成支架10 ’的塊的厚度方向相同,參考軸垂直於Page 18 523579 Case No. 90101765_ Amendment V. Description of the invention (16) The orthogonality of the axes X and γ of the coordinate measuring instrument 2. The above description is directed to the measuring device 1 which is oriented on the coordinate measuring device 2 as shown in FIG. 10A. In addition, a gauge 1 may be provided in the direction shown in FIG. 10B, wherein the direction of the gauge 1 is rotated 90 degrees relative to the direction of the gauge 1 in FIG. 10A in the X-Y plane. The arrangement shown in Fig. 10B is used to determine the straightness of the instrument axis in the Y-axis direction. In addition, the meter 1 may be set in an upright position as shown in FIG. 10C to determine the deflection of the instrument axis Z in the direction of the axis X and the orthogonality of the two axes Z and X. In addition, the gauge 1 can be set in an upright position as shown in FIG. 10D, where the upright gauge is rotated 90 degrees about the axis Z relative to the arrangement shown in FIG. 10C in order to determine the instrument axis in the Y direction of the axis The skewness of Z and the orthogonality of the two axes Y and Z. Figure 11 shows a perspective view of another embodiment of a coordinate measuring machine gauge according to the present invention. In Fig. 11, the meter 1 'has a bracket 10' having a parallelepiped shape and a flat block having an isosceles trapezoidal through-hole 10'A. The balls 11 are the same as the previous embodiment, and are arranged on the opposite inclined surfaces of the trapezoidal through-holes 10'A and are arranged along a line parallel to the inclined surfaces. The centers of the balls 11 are aligned in a straight line and extend along a straight line parallel to the opposite slopes of the through holes 10'A. In the embodiment shown, five balls 11 are arranged on each slope and spaced equally apart. In the coordinate measuring instrument Γ in this embodiment, a direction perpendicular to a virtual reference plane including a line on which the balls 11 are lined up, and a thickness direction of a block constituting the bracket 10 ′ Same, reference axis is perpendicular

第19頁 523579 案號 90101765 Λ_η 修正 五、發明說明(17) 支架1 0 ’的上下側面和梯形通孔1 0 A ’的上下面。 需要指出的是,類似於前面實施例中的計量器1,通 過改變夾子1 2的位置,而且如果必要的話改變圖4所示的 銷1 3和安裝夾具5的位置,可以將座標測量儀計量器Γ設 置在圖1所示的座標測量儀2上。 從上述說明可以明白,根據本發明,可以一次獲得測 定座標測量儀中兩點間的測量精度的座標資料和儀器軸的 平直度以及儀器軸之間的正交性。這樣,可以有效測定測 量裝置的測量誤差。 進一步根據本發明,當計量器設置成前側面朝上時和 計量器翻轉成後側朝上時,可以從獲得的測量值去除座標 測量儀計量器固有誤差,使得可以精確測定座標測量儀的 儀器軸平直度。 再根據本發明,當計量器設置成前側面朝上時和計量 器翻轉成後側朝上時,可以從獲得的測量值去除座標測量 儀計量器固有誤差,使得可以精確測定座標測量儀的儀器 軸正交性。 再根據本發明,可以容易並精確獲得測定測量在座標 測量儀中兩點之間的間距精度以及儀器軸之間的正交性資 料。結果,可以獲得便宜的座標測量儀計量器。 由於根據本發明特定特徵,球排列在構成支架的梯形 塊的相對斜面上,因此可以提高測量點的數量,可以更精 確完成座標測量儀的誤差測定。 根據本發明一個實施例,當球排列在形成在支架内的Page 19 523579 Case No. 90101765 Λ_η Amendment 5. Explanation of the invention (17) The upper and lower sides of the bracket 1 0 ′ and the upper and lower sides of the trapezoidal through hole 10 A ′. It should be noted that, similar to the gauge 1 in the previous embodiment, by changing the position of the clip 12 and, if necessary, changing the positions of the pins 13 and the mounting jig 5 shown in FIG. 4, the coordinate measuring instrument can be measured. The device Γ is set on the coordinate measuring instrument 2 shown in FIG. 1. As can be understood from the above description, according to the present invention, the coordinate data of the measurement accuracy between two points in the coordinate measuring instrument, the straightness of the instrument axis, and the orthogonality between the instrument axes can be obtained at one time. In this way, the measurement error of the measurement device can be effectively measured. Further according to the present invention, when the gauge is set with the front side facing upward and the gauge is turned over with the back side facing upward, the inherent error of the coordinate measuring instrument can be removed from the obtained measurement value, so that the instrument of the coordinate measuring instrument can be accurately measured Shaft straightness. According to the present invention, when the gauge is set with the front side facing upward and the gauge is turned over with the back side facing upward, the inherent error of the coordinate measuring instrument can be removed from the obtained measurement value, so that the instrument of the coordinate measuring instrument can be accurately measured. Axis orthogonality. According to the present invention, it is possible to easily and accurately obtain the accuracy of the distance between the two points in the coordinate measuring instrument and the orthogonality data between the instrument axes. As a result, an inexpensive coordinate measuring machine can be obtained. According to the specific feature of the present invention, the balls are arranged on the opposite inclined surfaces of the trapezoidal blocks constituting the bracket, so the number of measurement points can be increased, and the error measurement of the coordinate measuring instrument can be completed more accurately. According to an embodiment of the present invention, when the balls are arranged in the

第20頁 523579 _案號 90101765_年月日__ 五、發明說明(18) 梯形通孔中時,不僅可以保護球,還可以降低支架的重 量。 由於上述說明適用於本發明的特定實施例,因此應該 明白可以作出許多變形而不背離本發明的精神。附加申請 專利範圍旨在包括落在本發明的範圍和精神内的變形。 因此本發明所揭露的實施例在所有方面的考慮是作為 示例性的而不是為了進行限制,本發明的範圍是由申請專 利範圍來說明的而不是由上述說明來表明,因此這裏試圖 包括凡有在相同之創作精神下所作有關本創作之任何修Page 20 523579 _Case No. 90101765_Year_Month__ V. Description of the invention (18) In the trapezoidal through hole, not only the ball can be protected, but also the weight of the bracket can be reduced. Since the above description applies to a specific embodiment of the present invention, it should be understood that many variations can be made without departing from the spirit of the invention. The scope of the additional application patent is intended to include modifications that fall within the scope and spirit of the invention. Therefore, the disclosed embodiments of the present invention are considered in all aspects as exemplary rather than limiting. The scope of the present invention is described by the scope of patent application rather than the above description, so it is intended to include all Any modification of this creation in the same creative spirit

第21頁 523579 修正 案號 90101765 圖式簡單說明 圖式簡單說明 下面參照附圖詳細說明本發明,其中: 圖1是根據本發明的安裝在座標測量儀的座標測量儀計量 器的透視圖; 圖2是根據本發明用於座標測量儀的探針放大視圖; 圖3是根據本發明用於座標測量儀的連接到安裝支架的計 量器透視圖; 圖4是根據本發明的安裝固定架透視圖,座標測量儀計量 器可連接到該固定架上; 圖5是根據本發明座標測量儀計量器平面圖; 圖6是根據本發明測量球體中心方法的實施例視圖; 圖7是根據本發明測量球體中心之間間距的方法的實施例 視圖, 圖8是確定X軸方向平直度的方法的實施例視圖; 圖9是根據本發明用於測量軸的正交性的方法的實施例視 圖, 圖1 0 Α和1 0Β是根據本發明的座標測量儀計量器處於水平位 置時與座標測量儀連接的示意圖; 圖1 0 C和1 0 D是根據本發明的座標測量儀計量器處於直立位 置時與座標測量儀連接的示意圖;以及 圖1 1是根據本發明座標測量儀計量器另一實施例的透視 圖。 圖式元件符號 1 計量器Page 21 523579 Amendment No. 90101765 Brief Description of the Drawings Brief Description of the Drawings The invention will be described in detail below with reference to the drawings, in which: FIG. 1 is a perspective view of a coordinate measuring machine gauge mounted on a coordinate measuring machine according to the present invention; 2 is an enlarged view of a probe for a coordinate measuring instrument according to the present invention; FIG. 3 is a perspective view of a measuring instrument connected to a mounting bracket for a coordinate measuring instrument according to the present invention; FIG. 4 is a perspective view of a mounting fixture according to the present invention The coordinate measuring instrument gauge can be connected to the fixed frame; FIG. 5 is a plan view of the coordinate measuring instrument gauge according to the present invention; FIG. 6 is an embodiment view of a method for measuring a sphere center according to the present invention; FIG. 7 is a measuring sphere according to the present invention An embodiment view of a method for spacing between centers, FIG. 8 is an embodiment view of a method for determining flatness in the X-axis direction; FIG. 9 is an embodiment view of a method for measuring orthogonality of an axis according to the present invention, FIG. 1 0 Α and 10B are schematic diagrams of connecting the coordinate measuring instrument with the coordinate measuring instrument according to the present invention when the gauge is in a horizontal position; FIG. 10C and 10D are according to the present invention. Ming coordinate measurement device is a schematic view of the meter is connected to the upright position coordinate measurement device; and FIG. 11 is a perspective view of an embodiment according to the present invention, the coordinate measuring instrument gauge to another embodiment. Schematic element symbol 1

第22頁 523579 案號90101765 年月日 修正Page 22 523579 Case No. 90101765 Revised

第23頁Page 23

Claims (1)

523579 案號 90101765 _A. 修正 六、申請專利範圍 1 · 一種用於測定座標測量儀中測量誤差的方法,其中探 針頭沿三個相互正交的儀器軸相對於待測量物體移動,包 括: 第一步驟,在座標測量儀的測量臺上放置所述測量儀 計量器,該計量器具有多個球,該球的中心在一相對於計 量器的參考軸傾斜的直線上至少排成一行,該參考軸處於 一虛擬參考面内並沿該虛擬參考面延伸,設置該計量器使 得該虛擬參考面與座標測量儀的三個儀器軸之一平行並使 得該虛擬參考面與座標測量儀的剩下兩儀器軸任一軸平 行; 第二步驟,用該測量儀測量每個球中心相對於該兩儀 器軸的座標; 第三步驟,將該計量器繞該參考軸旋轉1 8 0度,並再 次將計量器放置在座標測量儀的測量臺上;以及 第四步驟,用該測量儀再測量每個球中心相對於兩儀 器軸的座標。 2 ·如申請專利範圍第1項所述的方法,其中所述的兩儀器 軸中的一個軸是X儀器軸,兩儀器軸中另一個軸是Y儀器 軸,進一步包括:根據第二步驟中獲得的在垂直於計量器 參考軸方向上所述球中心的Y儀器軸座標以及第四步驟獲 得的所述球中心的Y儀器軸座標,測定已測定的X儀器軸的 平直度,所述測定步驟包括: 在第一計算步驟中,計算在所述第二和第四步驟中獲 得的所有球的Y儀器座標之間的差值;523579 Case No. 90101765 _A. Amendment 6. Scope of patent application 1 · A method for measuring measurement errors in a coordinate measuring instrument, in which the probe head moves relative to the object to be measured along three mutually orthogonal instrument axes, including: In a step, the measuring instrument gauge is placed on the measuring table of the coordinate measuring instrument, the gauge has a plurality of balls, and the center of the ball is arranged at least in a line on a straight line inclined with respect to the reference axis of the gauge. The reference axis is in a virtual reference plane and extends along the virtual reference plane. The gauge is set so that the virtual reference plane is parallel to one of the three instrument axes of the coordinate measuring instrument and the virtual reference plane is left with the rest of the coordinate measuring instrument. Any two axes of the two instrument axes are parallel; in the second step, the coordinates of each ball center relative to the two instrument axes are measured by the measuring instrument; in the third step, the gauge is rotated 180 degrees around the reference axis, and The gauge is placed on the measuring table of a coordinate measuring instrument; and the fourth step is to use the measuring instrument to measure the coordinates of the center of each ball with respect to the two instrument axes. 2. The method according to item 1 of the scope of patent application, wherein one of the two instrument axes is an X instrument axis and the other axis of the two instrument axes is a Y instrument axis, further comprising: according to the second step The Y instrument axis coordinates of the ball center obtained in the direction perpendicular to the reference axis of the gauge and the Y instrument axis coordinates of the ball center obtained in the fourth step are used to determine the measured straightness of the X instrument axis. The determining step includes: in a first calculating step, calculating a difference between Y instrument coordinates of all balls obtained in the second and fourth steps; 第24頁 523579 修正 案號 90101765 六、申請專利範圍 確定在第一計算步驟中 值;以及 在第二計算步驟中,計 大和最小值之間的差值。 3 .如申請專利範圍第1項所 從在第二步驟中獲得的 座標計算第一回歸線,由此 的角度0 ; 從在第四步驟中獲得的 座標計算第二回歸線,由此 的角度0 ’ ; 以及通過計算(0-0’ 行的兩儀器軸的相互正交性 4 · 一種座標測量儀計量器, 測量,該測量儀具有包括探 括; 多個球,其與探針頭接 支撐所述球的支架,使 斜於的參考軸並且沿虛擬參 軸位於虛擬參考面内,所述 使得虛擬參考面平行於所述 於兩儀器軸中之一軸。 5 ·如申請專利範圍第4項所 一條線包括兩條線,所述支 獲得的所有球的最大和最小差 算在所述確定步驟中確定的最 述的方法,進一步包括: 相對於兩儀器軸的所述球中心 計算第一回歸線和參考軸之間 相對於兩儀器軸的所述球中心 計算第二回歸線和參考軸之間 )/ 2以便測定與虛擬參考面平 〇 用於實現沿至少兩儀器軸的 針頭的探針,所述計量器包 觸排列;以及 得所述球的中心沿至少一條傾 考面延伸的線延伸,所述參考 支架能連接到座標測量儀上, 兩儀器軸,並使得參考軸平行 述的計量器,其中所述的至少 架由具有兩非平行側面的梯形Page 24 523579 Amendment No. 90101765 6. Scope of patent application Determine the value in the first calculation step; and in the second calculation step, calculate the difference between the maximum and minimum values. 3. Calculate the first regression line from the coordinates obtained in the second step as described in item 1 of the scope of the patent application, from which the angle is 0; calculate the second regression line from the coordinates obtained in the fourth step, from which the angle is 0 ' ; And by calculating the mutual orthogonality of the two instrument axes of the 0-0 'line 4 · A coordinate measuring instrument measuring device, the measuring instrument includes a probe; a plurality of balls, which are connected to the probe head to support the The support of the ball is such that the inclined reference axis is located in the virtual reference plane along the virtual reference axis, and the virtual reference plane is parallel to one of the two instrument axes. 5 · As mentioned in the fourth patent scope A line includes two lines, and the maximum and minimum differences of all the balls obtained by the branch are calculated in the most determined method in the determining step, further comprising: calculating a first regression line with respect to the ball centers of the two instrument axes And the reference axis with respect to the center of the ball relative to the two instrument axes to calculate the second regression line between the reference axis and the reference axis) / 2 in order to determine the level with the virtual reference plane for the needles along at least two instrument axes A probe, the gauges are arranged in contact with each other; and the center of the ball extends along a line extending from at least one inclination plane, the reference bracket can be connected to a coordinate measuring instrument, two instrument axes, and the reference axis A parallel gauge, wherein said at least frame is formed by a trapezoid having two non-parallel sides 第25頁 523579 _案號 90101765_年月日_i±L·_ 六、申請專利範圍 塊構成,每側面各平行於兩條線中的一條;所述球沿所述 兩條線排列和固定。 6 ·如申請專利範圍第4項所述的計量器,其中,所述的至 少一條線包括兩條線;所述的支架由具有非平行側面的梯 形通孔的塊構成,每側面各平行於所述的兩條線中的一 條;所述的球沿所述的兩條線排列和固定。Page 25 523579 _Case No. 90101765_Year Month and Day _i ± L · _ VI. Patent application block structure, each side is parallel to one of two lines; the balls are arranged and fixed along the two lines . 6. The meter according to item 4 of the scope of patent application, wherein said at least one line includes two lines; said bracket is composed of a block having a trapezoidal through hole with non-parallel sides, each side being parallel to One of the two lines; the balls are arranged and fixed along the two lines. 第26頁Page 26
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
TWI386624B (en) * 2007-08-17 2013-02-21 Hon Hai Prec Ind Co Ltd Testing apparatus for ending beat
TWI650526B (en) * 2017-12-18 2019-02-11 財團法人工業技術研究院 Measuring apparatus
US10352690B2 (en) 2017-12-18 2019-07-16 Industrial Technology Research Institute Measuring apparatus

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
TWI386624B (en) * 2007-08-17 2013-02-21 Hon Hai Prec Ind Co Ltd Testing apparatus for ending beat
TWI650526B (en) * 2017-12-18 2019-02-11 財團法人工業技術研究院 Measuring apparatus
US10352690B2 (en) 2017-12-18 2019-07-16 Industrial Technology Research Institute Measuring apparatus

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