JPH09304049A - Apparatus for measuring roundness - Google Patents

Apparatus for measuring roundness

Info

Publication number
JPH09304049A
JPH09304049A JP11878396A JP11878396A JPH09304049A JP H09304049 A JPH09304049 A JP H09304049A JP 11878396 A JP11878396 A JP 11878396A JP 11878396 A JP11878396 A JP 11878396A JP H09304049 A JPH09304049 A JP H09304049A
Authority
JP
Japan
Prior art keywords
cam mechanism
measured
knob
roundness
fixed
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
JP11878396A
Other languages
Japanese (ja)
Inventor
Shigeru Ogawa
茂 小川
Rikiya Shinoda
力弥 篠田
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Toshiba Corp
Original Assignee
Toshiba Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Toshiba Corp filed Critical Toshiba Corp
Priority to JP11878396A priority Critical patent/JPH09304049A/en
Publication of JPH09304049A publication Critical patent/JPH09304049A/en
Pending legal-status Critical Current

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  • A Measuring Device Byusing Mechanical Method (AREA)
  • Length Measuring Devices With Unspecified Measuring Means (AREA)

Abstract

PROBLEM TO BE SOLVED: To simply, accurately measure the roundness by sliding a cam mechanism to fix a plurality of overhanging parts to the inner surface of a material to be measured, and rotating the measuring units at the axial center of the fixed part as a center to measure the displacement of the inner surface of the material. SOLUTION: Positioning pins 8 are pressed in contact with the four positions of the end of a material 1 to be measured, and the cylindrical axial direction is perpendicularly decided. Then, a knob 15A is rotated to slide the tapered part 10A toward a bearing 6, an overhanging part 3A is vertically extended via a contactor 9, and fixed to the inner surface of the material 1. At this time, the tapered part 10B is interlocked by a knob 15 belonging to the knob 15A, and the overhanging part perpendicular to the part 3A is fixed to the inner surface of the material 1. A displacement measuring gage 5 is rotated in the inner surface of the material 1 by a support arm 4 mounted at a bearing 6, and the displacement is continuously measured by a roller measuring element 19 pressed in contact with the inner surface. The maximum and minimum values of the measured values are averaged to obtain a roundness.

Description

【発明の詳細な説明】Detailed Description of the Invention

【0001】[0001]

【発明の属する技術分野】この発明は大口径部品の形状
評価を目的とする測定技術に係り、特にその真円度を測
定する技術に関する。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a measuring technique for evaluating the shape of a large-diameter component, and more particularly to a technique for measuring the roundness thereof.

【0002】[0002]

【従来の技術】GIS等で用いられる金属タンク等の大
型のタンクは、図6に示す手順に沿ってその真円度が測
定される。棒状に構成された内側マイクロメータ21
を、金属タンク等の被測定物1の内側に、断面内径中心
点を貫通しかつタンク軸線方向に垂直になるように配置
して、内径を測定する(図中a)。同様の手順で、内径
の測定位置を順次換えながら、内径の各位置を測定する
(図中b、c、d)。そして、この測定結果をもとに、
((内径最大値−内径最小値)/2)の計算を行って真
円度を求めていた。
2. Description of the Related Art Roundness of a large tank such as a metal tank used in GIS or the like is measured according to the procedure shown in FIG. Inner micrometer 21 configured in a rod shape
Is arranged inside the DUT 1 such as a metal tank so as to penetrate the center point of the inner diameter of the cross section and be perpendicular to the tank axis direction, and the inner diameter is measured (a in the figure). In the same procedure, each position of the inner diameter is measured while sequentially changing the measurement position of the inner diameter (b, c, d in the figure). And based on this measurement result,
The roundness was calculated by calculating ((maximum inner diameter-minimum inner diameter) / 2).

【0003】[0003]

【発明が解決しようとする課題】しかしながら、かかる
方法では、内側マイクロメータ21が棒状であるため、
「断面内径中心点を貫通しかつタンク軸線方向に垂直に
なるよう」に配置することは困難であり、個人の熟練が
伴わなければ測定誤差を生ずることになる。更に、この
方式は前述したようにポイント測定方式であるため、た
わみの最大箇所及び最小箇所の特定が困難であり、後に
たわみを修正する際に充分な情報を提供できるものでは
ない。そこで、本発明は、より簡便な方法で、高精度か
つ精密な測定が可能な真円度測定器を提供することを目
的とする。
However, in such a method, since the inner micrometer 21 is rod-shaped,
It is difficult to arrange so that "it penetrates the center point of the inner diameter of the cross section and is perpendicular to the axial direction of the tank", and a measurement error occurs unless the skill of the individual is involved. Further, since this method is a point measurement method as described above, it is difficult to identify the maximum and minimum points of the deflection, and it is not possible to provide sufficient information when the deflection is corrected later. Therefore, an object of the present invention is to provide a roundness measuring device capable of highly accurate and precise measurement by a simpler method.

【0004】[0004]

【課題を解決するための手段】そこで、本発明は以上の
目的を達成するために請求項1に記載の発明として、固
定部に対して所定のガイドに従いスライドする第一カム
機構部と、このカム機構部におけるスライド方向の直角
方向に配置されたガイドに従い前記第一カム機構部のス
ライドに伴ってスライドする第一張り出し部と、前記第
一カム機構部に並列に配置され当該カム機構部と同方向
にスライドする第二カム機構部と、前記第一カム機構部
と前記第一張り出し部のそれぞれのスライド方向の両方
に直角方向に配置されたガイドに従い前記第二カム機構
部のスライドに伴ってスライドする第二張り出し部と、
前記固定部と前記第一カム機構部との間のスライドを制
御する第一ネジ機構部と、前記第一カム機構部と前記第
二カム機構部との間のスライドを制御する第二ネジ機構
部と、被測定物を端部外側から位置決めする位置決めピ
ンと、前記固定部の軸心を中心として回転し被測定物内
面の変位を測定する測定部と、前記測定部が読みとった
データを演算し表示する装置と、を有することを特徴と
する真円度測定器を提供する。
In order to achieve the above object, the present invention provides a first cam mechanism portion which slides with respect to a fixed portion in accordance with a predetermined guide, as an invention according to claim 1. A first projecting portion that slides along with the sliding of the first cam mechanism portion according to a guide that is arranged in a direction perpendicular to the sliding direction in the cam mechanism portion; and the cam mechanism portion that is arranged in parallel with the first cam mechanism portion. According to the slide of the second cam mechanism part, the second cam mechanism part slides in the same direction, and the guides arranged at right angles to both the respective slide directions of the first cam mechanism part and the first overhang part. And a second overhanging part that slides,
A first screw mechanism unit that controls sliding between the fixed unit and the first cam mechanism unit, and a second screw mechanism that controls sliding between the first cam mechanism unit and the second cam mechanism unit. Section, a positioning pin for positioning the object to be measured from the outside of the end, a measuring section that rotates about the shaft center of the fixed section to measure the displacement of the inner surface of the object to be measured, and the data read by the measuring section is calculated. A roundness measuring instrument characterized by having a display device.

【0005】以上の真円度測定器においては、より簡便
に内径中心点を定め、かつタンク軸線方向に垂直になる
ように配置することができ、また、内径の連続的な測定
が可能となる。
In the above circularity measuring device, the center point of the inner diameter can be more easily determined and arranged so as to be perpendicular to the axial direction of the tank, and the inner diameter can be continuously measured. .

【0006】[0006]

【発明の実施の形態】以下、本発明における真円度測定
器の実施の形態について、図1乃至図4を参照して説明
する。図1及び図2は、円筒体である被測定物1への真
円度測定器の据え付け状態を示す全体構造図であり、特
に図1は円筒軸方向から見た据え付け状態を示し、図2
は円筒側方向から見た据え付け状態を示す図である。
BEST MODE FOR CARRYING OUT THE INVENTION Embodiments of the roundness measuring instrument according to the present invention will be described below with reference to FIGS. 1 and 2 are overall structural views showing an installation state of a roundness measuring device on a DUT 1 which is a cylindrical body, and in particular, FIG. 1 shows an installation state viewed from the axial direction of the cylinder.
[Fig. 6] is a view showing an installed state as viewed from the side of the cylinder.

【0007】同一平面上で相互に直角方向かつ同一長さ
に構成された4本の張り出し棒(特に、同一軸上の2本
を第一張り出し部3Aとし、これらに直角な2本を第二
張り出し部3Bとする)を有する真円度測定器を、GI
Sの金属タンク等の円筒端部近傍に設置する。その後、
測定器本体2を中心にこれら張り出し棒3A及び3Bを
内側から張り出すことにより、被測定物1に固定する。
Four projecting rods formed in the same plane at right angles to each other and of the same length (in particular, two projecting rods on the same axis are designated as the first projecting portion 3A, and two projecting rods perpendicular to these are second A roundness measuring instrument having an overhang portion 3B) is GI
It is installed near the end of the cylinder such as the S metal tank. afterwards,
The projecting rods 3A and 3B are projected from the inside centering on the measuring device main body 2 and fixed to the DUT 1.

【0008】但し、この段階では円筒中心点は定まり、
真円度測定器自体は被測定物1に固定されるが、円筒軸
方向(軸心20)に対しても当該測定器を垂直に整える
必要がある。そこで、これら一連の作業は張り出し棒3
A及び3Bの先端に設けられ円筒端面部を外側から位置
決めする位置決めピン8で円筒軸方向を垂直に定めてか
ら行う必要がある。
However, at this stage, the center point of the cylinder is determined,
The roundness measuring device itself is fixed to the DUT 1, but it is necessary to align the measuring device vertically with respect to the cylinder axial direction (axial center 20). Therefore, this series of work is performed by the overhanging rod 3.
It is necessary to determine the cylinder axis direction vertically with a positioning pin 8 provided at the tips of A and 3B and for positioning the cylinder end face portion from the outside.

【0009】こうして、「断面内径中心点を貫通しかつ
タンク軸線方向に垂直になるよう」円筒中心点である軸
心20の位置決め及び固定をした後、軸心20上に設け
られた軸受6を中心として支持アーム4を回転させるこ
とによって、当該支持アーム4の先端に設けられ被測定
物1の内径に接触する変位測定ゲージ5が内径の変位を
測定する。
In this way, after positioning and fixing the shaft center 20 which is the center point of the cylinder so as to "pass through the center point of the inner diameter of the cross section and be perpendicular to the axial direction of the tank", the bearing 6 provided on the shaft center 20 is mounted. By rotating the support arm 4 as the center, the displacement measuring gauge 5 provided at the tip of the support arm 4 and in contact with the inner diameter of the DUT 1 measures the displacement of the inner diameter.

【0010】以下、真円度測定器の詳細構造を、図3及
び図4を参照して説明する。ここで図3は円筒側方向か
ら見た断面構造拡大図であり、図4は軸心20方向から
見たテーパ部を示す図である。
The detailed structure of the roundness measuring instrument will be described below with reference to FIGS. 3 and 4. Here, FIG. 3 is an enlarged view of a sectional structure as seen from the side of the cylinder, and FIG. 4 is a diagram showing a taper portion as seen from the direction of the axis 20.

【0011】ツマミ15Aは、測定器本体2との間で、
ネジ14Aを介して接触し、ツマミ15Aを回転させる
ことによって軸心20に沿って軸受6方向(図中右方
向)にスライドする。つまり、固定部である測定器本体
2に対して第一のネジ機構部としての役割を有する。こ
のツマミ15Aのスライドに伴って、滑りガイド12B
に従いテーパ10Aが同方向に押し出される。第一のカ
ム機構部であるテーパ10Aが軸受6方向(図中右方
向)にスライドすることで、接触子9を介して第一張り
出し部3Aが、被測定物方向(図中上下方向)に駆動さ
れ、被測定物1を張り出し固定する。なお、テーパ10
Aの回転防止のため回り止めピン13が設けられ、ま
た、第一張り出し部3Aの方向制御のため被測定物方向
(図中上下方向)にもスベリガイド12Aが設けられて
いる。
The knob 15A is connected to the measuring device main body 2,
The knob 15A is brought into contact with the screw 14A, and the knob 15A is rotated to slide along the shaft center 20 in the bearing 6 direction (right direction in the drawing). That is, it has a role as a first screw mechanism portion with respect to the measuring device main body 2 which is a fixing portion. As the knob 15A slides, the slide guide 12B
Accordingly, the taper 10A is pushed out in the same direction. The taper 10A, which is the first cam mechanism portion, slides in the bearing 6 direction (right direction in the drawing), so that the first projecting portion 3A moves in the direction of the measured object (vertical direction in the drawing) via the contactor 9. When driven, the DUT 1 is projected and fixed. The taper 10
A rotation stop pin 13 is provided to prevent the rotation of A, and a sliding guide 12A is also provided in the direction of the object to be measured (vertical direction in the drawing) to control the direction of the first protruding portion 3A.

【0012】次に、ツマミ15Bについては、これを回
転させることで、ツマミ15Aとの間を介在するネジ1
4Bを介してスライドする。つまり、可動部であるツマ
ミ15Aに対して第二のネジ機構部としての役割を有す
る。このツマミ15Bのスライドに伴って、今度は第二
カム機構部であるテーパ10Bが同方向に押し出される
ことで、図示せぬ接触子9を介した図示せぬ第二張り出
し部3Bが被測定物方向(図中表裏方向)に駆動され、
被測定物1に張り出し固定する。
Next, with respect to the knob 15B, the screw 1 which is interposed between the knob 15A and the knob 15A is rotated by rotating the knob 15B.
Slide through 4B. That is, it has a role as a second screw mechanism portion with respect to the knob 15A which is a movable portion. With the sliding of the knob 15B, the taper 10B, which is the second cam mechanism portion, is pushed out in the same direction, so that the second overhang portion 3B (not shown) through the contactor 9 (not shown) causes the object to be measured. Driven in the direction (front and back direction in the figure),
Overhang and fix to DUT 1.

【0013】次に、真円度測定器による測定手順を、そ
の作用とともに説明する。まず、図5に示すように被測
定物1の端部各々4箇所に位置決めピン8を押し当てる
ことで、円筒軸方向を垂直に定める。この状態では、ま
だ中心点は定まらず、ぐらついた状態である。次に、ツ
マミ15Aを回転させ、テーパ10Aを軸受6方向(図
3中右方向)にスライドさせることで、第一張り出し部
3Aを図3中上下方向に張り出すことで、被測定物1の
内面に固定して、ツマミ15Aによる張り出しが終了す
る。なお、この際、ツマミ15Bはネジ14Bを介して
ツマミ15Aに従属しているためテーパ10Aの駆動に
伴ってテーパ10Bも連動する。従って、円筒中心点の
位置決めがうまくできない、といった憂慮もある。しか
し、もしツマミ15Aによる張り出しが終了しても第二
張り出し部3Bに、まだあそびがある場合には、改めて
ツマミ15Bを駆動させれば4方向の張り出しを均等に
することができる。逆に、ツマミ15Aによる張り出し
が終了する前にツマミ15Bの張り出しが終了した場合
には、ツマミ15Bを逆回転させることで、4方向の張
り出しを均等にすることができ、円筒中心点の位置決め
は容易にできる。
Next, the measuring procedure by the roundness measuring device will be described together with its operation. First, as shown in FIG. 5, the positioning pin 8 is pressed against each of four end portions of the DUT 1 to vertically determine the cylindrical axis direction. In this state, the center point has not been determined yet and is in a wobbled state. Next, by rotating the knob 15A and sliding the taper 10A in the direction of the bearing 6 (rightward in FIG. 3), the first projecting portion 3A is projected in the vertical direction in FIG. After fixing to the inner surface, the overhang by the knob 15A is completed. At this time, since the knob 15B is dependent on the knob 15A via the screw 14B, the taper 10B also interlocks with the driving of the taper 10A. Therefore, there is concern that the center point of the cylinder cannot be properly positioned. However, if the second projecting portion 3B still has play after the protrusion by the knob 15A is finished, the protrusions in the four directions can be made uniform by driving the knob 15B again. On the contrary, when the protrusion of the knob 15B is completed before the protrusion of the knob 15A is completed, the protrusions in the four directions can be made uniform by rotating the knob 15B in the reverse direction, and the cylinder center point can be positioned. You can easily.

【0014】次に、軸心20上の軸受6に取り付けた支
持アーム4を回転させることで、支持アーム4上に設け
た変位測定ゲージ5も円筒内面を回転し、バネ力をもっ
て円筒内面に押接されたローラ測定子19が読みとった
変位を連続的に測定する。このデータは図示せぬ演算装
置に電送され、((最大値−最小値)/2)の演算を行
うことによって真円度が求められた後、表示される。ま
た、当該表示においては、単に真円度を表示するのみな
らず、たわみの最大箇所及び最小箇所をも表示すること
ができるため、後のたわみ修正の際に役立つ情報を提供
し得るものである。
Next, by rotating the support arm 4 attached to the bearing 6 on the shaft center 20, the displacement measuring gauge 5 provided on the support arm 4 also rotates the inner surface of the cylinder and pushes it against the inner surface of the cylinder with a spring force. The displacement read by the roller probe 19 in contact is continuously measured. This data is transmitted to a calculation device (not shown), and the roundness is obtained by performing the calculation of ((maximum value-minimum value) / 2) and then displayed. Further, in the display, not only the roundness can be displayed but also the maximum and minimum portions of the deflection can be displayed, which can provide information useful in the later deflection correction. .

【0015】また、本発明は、張り出し棒3を着脱自在
とすることにより、口径の異なる被測定物をも測定し得
るものである。なお、本発明は単に大口径部品の真円度
測定に用いるのみならず、小口径部品の真円度測定にも
適用可能なことはいうまでもない。
Further, according to the present invention, by making the projecting rod 3 detachable, it is possible to measure objects to be measured having different diameters. Needless to say, the present invention is applicable not only to roundness measurement of large-diameter parts, but also to roundness measurement of small-diameter parts.

【0016】[0016]

【発明の効果】以上説明したように本発明の真円度測定
器においては、より簡便な方法で、高精度かつ精密な測
定が可能であるため、個人の熟練度に関わらず安定した
測定が可能となる他、たわみの最大箇所及び最小箇所の
特定も可能であるため、被測定物の形状修正に必要な情
報も提供し得る。
As described above, the roundness measuring instrument of the present invention enables highly accurate and precise measurement with a simpler method, so that stable measurement can be performed regardless of the skill level of an individual. In addition to being possible, it is possible to specify the maximum and minimum positions of the deflection, so that it is possible to provide information necessary for correcting the shape of the measured object.

【図面の簡単な説明】[Brief description of drawings]

【図1】円筒体への真円度測定器の据え付け状態を、円
筒軸方向から見た全体構造図。
FIG. 1 is an overall structural view of an installation state of a roundness measuring device on a cylindrical body as seen from a cylinder axial direction.

【図2】円筒体への真円度測定器の据え付け状態を、円
筒側方向から見た全体構造図。
FIG. 2 is an overall structural view of a circularity measuring device installed on a cylindrical body as viewed from the side of the cylinder.

【図3】真円度測定器を、円筒側方向から見た断面構造
拡大図。
FIG. 3 is an enlarged view of a cross-sectional structure of the roundness measuring device as viewed from the side of the cylinder.

【図4】真円度測定器のテーパ部を、軸心方向から見た
構造図。
FIG. 4 is a structural view of the taper portion of the roundness measuring device as viewed from the axial direction.

【図5】円筒軸方向を垂直に定めるべく、被測定物の端
部に位置決めピンを押し当てた状態図。
FIG. 5 is a view showing a state in which a positioning pin is pressed against the end of the object to be measured in order to determine the cylinder axis direction vertically.

【図6】従来手法である、内側マイクロメータを用いた
測定状態を示す図。
FIG. 6 is a view showing a measurement state using an inside micrometer, which is a conventional method.

【符号の説明】[Explanation of symbols]

2…測定器本体、3A…第一張り出し部、3B…第二張
り出し部、5…変位測定ゲージ、8…位置決めピン、1
0A、10B…テーパ、12A、12B…スベリガイ
ド、14A、14B…ネジ、15A、15B…ツマミ。
2 ... Measuring device main body, 3A ... First overhanging portion, 3B ... Second overhanging portion, 5 ... Displacement measuring gauge, 8 ... Positioning pin, 1
0A, 10B ... Taper, 12A, 12B ... Sliding guide, 14A, 14B ... Screw, 15A, 15B ... Knob.

Claims (1)

【特許請求の範囲】[Claims] 【請求項1】固定部に対して所定のガイドに従いスライ
ドする第一カム機構部と、このカム機構部におけるスラ
イド方向の直角方向に配置されたガイドに従い前記第一
カム機構部のスライドに伴ってスライドする第一張り出
し部と、前記第一カム機構部に並列に配置され当該カム
機構部と同方向にスライドする第二カム機構部と、前記
第一カム機構部と前記第一張り出し部のそれぞれのスラ
イド方向の両方に直角方向に配置されたガイドに従い前
記第二カム機構部のスライドに伴ってスライドする第二
張り出し部と、前記固定部と前記第一カム機構部との間
のスライドを制御する第一ネジ機構部と、前記第一カム
機構部と前記第二カム機構部との間のスライドを制御す
る第二ネジ機構部と、被測定物を端部外側から位置決め
する位置決めピンと、前記固定部の軸心を中心として回
転し被測定物内面の変位を測定する測定部と、前記測定
部が読みとったデータを演算し表示する装置と、を有す
ることを特徴とする真円度測定器。
1. A first cam mechanism part that slides with respect to a fixed part in accordance with a predetermined guide, and a guide arranged in a direction perpendicular to the sliding direction of the cam mechanism part according to the sliding of the first cam mechanism part. A first protruding portion that slides, a second cam mechanism portion that is arranged in parallel with the first cam mechanism portion and that slides in the same direction as the cam mechanism portion, and each of the first cam mechanism portion and the first protrusion portion. Control the slide between the fixed portion and the first cam mechanism section, and the second overhanging section that slides with the slide of the second cam mechanism section according to the guides that are arranged at right angles to both the sliding directions of And a second screw mechanism that controls sliding between the first cam mechanism and the second cam mechanism, and a positioning pin that positions the object to be measured from the outside of the end. , A circularity characterized by having a measuring unit that rotates about the axis of the fixed unit to measure the displacement of the inner surface of the object to be measured, and a device that calculates and displays the data read by the measuring unit. Measuring instrument.
JP11878396A 1996-05-14 1996-05-14 Apparatus for measuring roundness Pending JPH09304049A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP11878396A JPH09304049A (en) 1996-05-14 1996-05-14 Apparatus for measuring roundness

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP11878396A JPH09304049A (en) 1996-05-14 1996-05-14 Apparatus for measuring roundness

Publications (1)

Publication Number Publication Date
JPH09304049A true JPH09304049A (en) 1997-11-28

Family

ID=14744983

Family Applications (1)

Application Number Title Priority Date Filing Date
JP11878396A Pending JPH09304049A (en) 1996-05-14 1996-05-14 Apparatus for measuring roundness

Country Status (1)

Country Link
JP (1) JPH09304049A (en)

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR200451933Y1 (en) * 2008-10-16 2011-01-19 한전케이피에스 주식회사 Seat width measuring tool for wedge gate valve
CN106767326A (en) * 2016-11-30 2017-05-31 无锡凯涵科技有限公司 The circularity cubing of tensioning wheel connecting plate
CN115289937A (en) * 2022-10-08 2022-11-04 山东隆基步德威制动钳有限公司 Thread conical surface runout detection device

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR200451933Y1 (en) * 2008-10-16 2011-01-19 한전케이피에스 주식회사 Seat width measuring tool for wedge gate valve
CN106767326A (en) * 2016-11-30 2017-05-31 无锡凯涵科技有限公司 The circularity cubing of tensioning wheel connecting plate
CN115289937A (en) * 2022-10-08 2022-11-04 山东隆基步德威制动钳有限公司 Thread conical surface runout detection device
CN115289937B (en) * 2022-10-08 2022-12-27 山东隆基步德威制动钳有限公司 Thread conical surface runout detection device

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