CN108253915B - Calibration method - Google Patents
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- CN108253915B CN108253915B CN201810050776.2A CN201810050776A CN108253915B CN 108253915 B CN108253915 B CN 108253915B CN 201810050776 A CN201810050776 A CN 201810050776A CN 108253915 B CN108253915 B CN 108253915B
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- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
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Abstract
本发明涉及一种标定方法,包括基板、六个标准球,所述六个标准球分为两组,每组包含三个标准球,每组中的三个标准球围在一起,使得测球可以与三个标准球同时相切,所述两组标准球分别固定在基板的两个方向;在标定过程中,通过测头与六球样板中的三个标准球进行接触测量,三个标准球更容易限制测头的滑动,定位精度高,能够有效地避免传统齿距与齿厚标定中测头容易滑动的弊端,从而有效地提高齿距与齿厚标定的精度。
The invention relates to a calibration method, which includes a base plate and six standard balls. The six standard balls are divided into two groups. Each group contains three standard balls. The three standard balls in each group are surrounded together so that the measuring ball It can be tangent to three standard balls at the same time. The two sets of standard balls are respectively fixed in two directions of the substrate; during the calibration process, the probe is used to contact and measure the three standard balls in the six-ball sample. The ball is more likely to limit the sliding of the probe and has high positioning accuracy. It can effectively avoid the shortcomings of easy sliding of the probe in traditional tooth pitch and tooth thickness calibration, thereby effectively improving the accuracy of tooth pitch and tooth thickness calibration.
Description
技术领域Technical field
本发明涉及测量仪器标定技术领域,具体涉及一种六球样板及标定方法。The invention relates to the technical field of measuring instrument calibration, and in particular to a six-ball template and a calibration method.
背景技术Background technique
测量仪器是进行科学研究、教育教学、工程测量等领域的必需工具,随着科技的发展和时代的进步,各类测量仪器得到了大力的发展,在社会生活中的应用范围越来越广泛,而高精度、高可靠性的测量仪器,一直是该领域科研人员研究与探索重点。Measuring instruments are necessary tools for scientific research, education and teaching, engineering measurement and other fields. With the development of science and technology and the advancement of the times, various types of measuring instruments have been vigorously developed and are used more and more widely in social life. High-precision and high-reliability measuring instruments have always been the focus of research and exploration by researchers in this field.
测量仪器通常设置有测头,测头作为传感器用于采集被测对象相关参数,测头的发展水平直接影响着测量仪器的测量精度与测量效率。精密测头通常分为接触式测头与非接触式测头两种,其中接触式测头又分为机械式测头、触发式测头和扫描式测头;非接触式测头分为激光测头和光学视频测头。Measuring instruments are usually equipped with a probe, which serves as a sensor to collect relevant parameters of the measured object. The development level of the probe directly affects the measurement accuracy and efficiency of the measuring instrument. Precision probes are usually divided into two types: contact probes and non-contact probes. Contact probes are divided into mechanical probes, trigger probes and scanning probes; non-contact probes are divided into laser probes. Probes and optical video probes.
机械式测头是精密量仪使用较早的一种测头;该测头通过测头测端与被测对象直接接触进行测量,主要用于手动测量;该类测头结构简单、操作方便,其缺点在于精度不高,测量效率低,目前很少用于工业测量领域。触发式测头及扫描式测头在工业领域中的应用最为广泛;触发式测头及扫描式测头通常包括测针与测球,在测量过程中,利用测球与被测对象接触,实现相关参数的采集;其中,触发式测头具有结构简单、使用方便、及较高触发精度等优点,相比与触发式测头,扫描式测头的精度更高、功能更强、适应性更广,且同时具备单点测量和连续扫描测量的功能。The mechanical probe is an earlier type of probe used in precision measuring instruments. This probe conducts measurements through direct contact between the probe end and the measured object. It is mainly used for manual measurement. This type of probe has a simple structure and is easy to operate. Its shortcomings are low accuracy and low measurement efficiency, and it is rarely used in the field of industrial measurement. Trigger probes and scanning probes are the most widely used in the industrial field; trigger probes and scanning probes usually include a stylus and a measuring ball. During the measurement process, the measuring ball is used to contact the measured object to achieve Collection of relevant parameters; among them, the trigger probe has the advantages of simple structure, easy use, and high trigger accuracy. Compared with the trigger probe, the scanning probe has higher accuracy, stronger functions, and more adaptability. It is wide and has both single point measurement and continuous scanning measurement functions.
齿轮测量中有一重要参数为齿距与齿厚,该参数通常采用标准齿轮来实现齿距与齿厚的标定,即通过测量仪器在标准齿轮分度圆上进行测量。但由于测量仪器定位精度以及测头在与齿面接触时存在测头滑动问题,齿距与齿厚标定值通常会存在一定偏差。An important parameter in gear measurement is tooth pitch and tooth thickness. These parameters are usually calibrated using standard gears, that is, measured on the standard gear graduation circle by measuring instruments. However, due to the positioning accuracy of the measuring instrument and the problem of probe sliding when the probe contacts the tooth surface, there is usually a certain deviation in the calibration values of tooth pitch and tooth thickness.
发明内容Contents of the invention
本发明的目的在于改善现有技术中所存在的不足,提供一种六球样板及标定方法,在标定过程中,通过测头与六球样板中的三个标准球进行接触测量,三个标准球更容易限制测头的滑动,定位精度高,能够有效地避免传统齿距与齿厚标定中测头容易滑动的弊端,从而有效地提高齿距与齿厚标定的精度。The purpose of the present invention is to improve the deficiencies in the prior art and provide a six-ball template and a calibration method. During the calibration process, the probe is in contact with three standard balls in the six-ball template to measure the three standards. The ball is more likely to limit the sliding of the probe and has high positioning accuracy. It can effectively avoid the shortcomings of easy sliding of the probe in traditional tooth pitch and tooth thickness calibration, thereby effectively improving the accuracy of tooth pitch and tooth thickness calibration.
本发明解决其技术问题所采用的技术方案是:The technical solutions adopted by the present invention to solve the technical problems are:
一种六球样板,包括基板、六个标准球,所述六个标准球分为两组,每组包含三个标准球,每组中的三个标准球围在一起,使得测球可以与三个标准球同时相切,所述两组标准球分别固定在基板的两个方向。A six-ball model includes a base plate and six standard balls. The six standard balls are divided into two groups. Each group contains three standard balls. The three standard balls in each group are surrounded together so that the measuring balls can be connected with each other. The three standard balls are tangent to each other at the same time, and the two sets of standard balls are respectively fixed in two directions of the substrate.
所述六球样板中,有两组标准球,每组分别包含三个标准球,三个标准球分别设置在基板上,并围在一起,三个标准球之间可以相切,也可以相离,相离时只需平衡好标准球的直径与两球之间的中心距,保证测头的测球能同时与三个标准球相切即可;测量仪器在进行齿距与齿厚标定时,测头的测球能同时与一组中的三个测球相接触,形成三个接触点,三个接触点对测球形成三点支撑,从而更容易限制测量过程中测球的滑动,提高定位精度,进而有效地提高齿距与齿厚标定的精度。In the six-ball model, there are two groups of standard balls, each group containing three standard balls respectively. The three standard balls are respectively set on the base plate and surrounded together. The three standard balls can be tangent to each other or to each other. When the distance is different, you only need to balance the diameter of the standard ball and the center distance between the two balls to ensure that the measuring ball of the probe can be tangent to the three standard balls at the same time; the measuring instrument is performing tooth distance and tooth thickness calibration. At certain times, the measuring ball of the measuring head can contact the three measuring balls in a group at the same time, forming three contact points. The three contact points form a three-point support for the measuring ball, making it easier to limit the sliding of the measuring ball during the measurement process. , improve positioning accuracy, thereby effectively improving the accuracy of tooth pitch and tooth thickness calibration.
优选地,所述基板为平板。所述基板为平板时,既便于基板设置或固定在测量仪器上,以进行齿距与齿厚标定;又便于使用标准测量仪器测定两组标准球之间的间距。Preferably, the substrate is a flat plate. When the substrate is a flat plate, it is not only convenient for the substrate to be set or fixed on a measuring instrument for calibrating the tooth pitch and tooth thickness; it is also convenient for using a standard measuring instrument to measure the distance between the two sets of standard balls.
优选地,每组中的三个标准球两两相切。各标准球均是固定在基板上的,每组中的三个标准球以两两相切的位置关系设置在基板上,在六球样板的生产制造过程中,可以便捷地将三个标准球分为一组,并固定在合适的位置上,从而有利于缩短加工时间;此外,每组中的三个标准球两两相切的设置在基板上后,还便于后期齿距与齿厚标定过程中对每个球进行定位,从而简化计算测头与每组中的三个标准球同时接触时的理论位置的过程,使得计算更简洁、方便。Preferably, two of the three standard spheres in each group are tangent to each other. Each standard ball is fixed on the base plate. The three standard balls in each group are arranged on the base plate in a tangent position relationship. During the production and manufacturing process of the six-ball prototype, the three standard balls can be conveniently placed. Divide them into one group and fix them in a suitable position, which is helpful to shorten the processing time; in addition, after the three standard balls in each group are arranged tangentially on the base plate, it also facilitates the later calibration of tooth pitch and tooth thickness. Each ball is positioned during the process, thereby simplifying the process of calculating the theoretical position when the probe contacts the three standard balls in each group at the same time, making the calculation simpler and more convenient.
优选地,所述六个标准球的直径相同。六球样板中各标准球的直径相同,有利于简化生产和制造过程,同时也方便后期齿距与齿厚标定过程中,测头上的测球与每组中的三个标准球同时接触,还可以简化计算测头与每组中的三个标准球同时接触时的理论位置的过程。Preferably, the six standard balls have the same diameter. The diameter of each standard ball in the six-ball model is the same, which is beneficial to simplifying the production and manufacturing process. It also facilitates the later calibration process of tooth pitch and tooth thickness. The measuring ball on the probe head contacts the three standard balls in each group at the same time. It also simplifies the process of calculating the theoretical position of the probe when it is in simultaneous contact with three calibration balls in each set.
优选地,所述标准球的精度不低于测头上测球的精度。六球样板中的标准球是测量仪器进行齿距与齿厚标定时的参考球,其精度对于齿距与齿厚标定的精度有很大的影响,所以在六球样板的设计之初就需要尽量降低或排除这种影响,只要当标准球的精度不低于测球本身的制造精度时,标准球作为参考球对于齿距与齿厚标定精度的影响才会降到最低,可以忽略不计。Preferably, the accuracy of the standard ball is not lower than the accuracy of the measuring ball on the probe head. The standard ball in the six-ball model is the reference ball when the measuring instrument performs tooth pitch and tooth thickness calibration. Its accuracy has a great impact on the accuracy of the tooth pitch and tooth thickness calibration. Therefore, it is necessary to design the six-ball model at the beginning. Try to reduce or eliminate this effect. As long as the accuracy of the standard ball is not lower than the manufacturing accuracy of the measuring ball itself, the impact of the standard ball as a reference ball on the calibration accuracy of tooth pitch and tooth thickness will be minimized and can be ignored.
优选地,所述标准球的精度高于测头上测球的精度一个等级。标准球的精度越高,其制造过程越麻烦、周期越长、成本越高;当标准球的精度高于测球的精度一个等级时,标准球的精度对齿距与齿厚标定的误差影响较小,同时也能很好的平衡六球样板的制作成本。Preferably, the accuracy of the standard ball is one level higher than the accuracy of the measuring ball on the measuring head. The higher the accuracy of the standard ball, the more troublesome the manufacturing process, the longer the cycle, and the higher the cost; when the accuracy of the standard ball is one level higher than the accuracy of the measuring ball, the accuracy of the standard ball will affect the error of tooth pitch and tooth thickness calibration. It is smaller and can also well balance the production cost of the six-ball prototype.
优选地,所述标准球采用红宝石或陶瓷或玻璃或碳化钨材料制成。由于对标准球的精度要求非常高,所以标准球还必须要有高硬度、高耐磨性、防静电、防磁、绝缘性能好、热传导率低、防酸碱性好、极低的表面粗糙度等各项特性,从而可以防止因为环境因素对六球样板中的标准球产生影响,进而影响到齿距与齿厚标定的精度;而在常用的材料中,红宝石、陶瓷、玻璃、碳化钨等材料都具有以上特性,满足标准球的要求。Preferably, the standard ball is made of ruby, ceramic, glass or tungsten carbide. Since the accuracy requirements for standard balls are very high, the standard balls must also have high hardness, high wear resistance, anti-static, anti-magnetic, good insulation properties, low thermal conductivity, good acid and alkali resistance, and extremely low surface roughness. and other characteristics, thus preventing environmental factors from affecting the standard balls in the six-ball model, which in turn affects the accuracy of tooth pitch and tooth thickness calibration; among commonly used materials, ruby, ceramics, glass, tungsten carbide, etc. The materials all have the above characteristics and meet the requirements of standard balls.
优选地,所述基板上标注有标准球的半径或直径参数以及两组标准球之间的标准间距参数。所述标准球的半径或直径参数以及两组标准球之间的标准间距参数均是在六球样板制作完成之后,采用标准测量仪器测量出来的数据,数据可靠、精度高,便于使用该六球样板时参考。Preferably, the radius or diameter parameters of the standard balls and the standard spacing parameters between the two sets of standard balls are marked on the substrate. The radius or diameter parameters of the standard balls and the standard spacing parameters between the two sets of standard balls are data measured using standard measuring instruments after the six-ball sample is completed. The data are reliable and highly accurate, making it easy to use the six-balls. Reference for sample.
一种标定方法,包括如下步骤:A calibration method includes the following steps:
(1)获得六球样板中各标准球的半径或直径参数以及球心位置参数。(1) Obtain the radius or diameter parameters and ball center position parameters of each standard ball in the six-ball template.
(2)获得测量仪器中测球的半径或直径参数;(2) Obtain the radius or diameter parameters of the measuring ball in the measuring instrument;
(3)根据步骤(1)和(2)中获得的数据,通过计算获得测球与每组中的三个标准球同时接触时的理论位置参数;(3) Based on the data obtained in steps (1) and (2), calculate and obtain the theoretical position parameters of the measuring ball when it contacts the three standard balls in each group at the same time;
(4)控制测量仪器的测球在理论位置对相应组中的三个标准球进行测量,分别获得两组标准球的位置参数A和B,并通过计算获得两组标准球之间的测量间距参数L,其中L=|A-B|;(4) Control the measuring ball of the measuring instrument to measure the three standard balls in the corresponding group at the theoretical position, obtain the position parameters A and B of the two sets of standard balls respectively, and obtain the measurement distance between the two sets of standard balls through calculation Parameter L, where L=|A-B|;
(5)将步骤(4)中的测量间距L与标准间距L0进行对比,确定测量仪器的精度,完成齿距与齿厚标定;其中,标准间距L0是利用标准测量仪器获得的该六球样板中两组标准球之间的间距。(5) Compare the measured spacing L in step (4) with the standard spacing L 0 to determine the accuracy of the measuring instrument and complete the calibration of the tooth pitch and tooth thickness; among them, the standard spacing L 0 is the six-dimensional space obtained by using a standard measuring instrument. The distance between two sets of standard balls in the ball template.
采用六球样板对测量仪器进行齿距与齿厚标定的整个过程简单,六球样板中的三个标准球会对测球形成三点稳定的支撑,从而大大降低了测量仪器测球的滑动误差,可以有效地提高齿距与齿厚的标定精度。The whole process of using the six-ball template to calibrate the tooth pitch and tooth thickness of the measuring instrument is simple. The three standard balls in the six-ball template will form a three-point stable support for the measuring ball, thus greatly reducing the sliding error of the measuring ball of the measuring instrument. , which can effectively improve the calibration accuracy of tooth pitch and tooth thickness.
与现有技术相比,使用本发明提供的一种六球样板及标定方法,在标定过程中,通过测头与六球样板中的三个标准球进行接触测量,三个标准球更容易限制测头的滑动,定位精度高,能够有效地避免传统齿距与齿厚标定中测头容易滑动的弊端,从而有效地提高齿距与齿厚标定的精度。Compared with the existing technology, using a six-ball template and a calibration method provided by the present invention, during the calibration process, the measuring head is in contact with three standard balls in the six-ball template, and the three standard balls are easier to limit. The sliding and positioning accuracy of the probe can effectively avoid the shortcomings of easy sliding of the probe in traditional tooth pitch and tooth thickness calibration, thereby effectively improving the accuracy of tooth pitch and tooth thickness calibration.
附图说明Description of the drawings
为了更清楚地说明本发明实施例的技术方案,下面将对实施例中所需要使用的附图作简单地介绍,应当理解,以下附图仅示出了本发明的某些实施例,因此不应被看作是对范围的限定,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他相关的附图。In order to explain the technical solutions of the embodiments of the present invention more clearly, the drawings required to be used in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present invention and therefore do not It should be regarded as a limitation of the scope. For those of ordinary skill in the art, other relevant drawings can be obtained based on these drawings without exerting creative efforts.
图1为本发明提供的测量仪器中常用的测头的结构示意图。Figure 1 is a schematic structural diagram of a probe commonly used in the measuring instrument provided by the present invention.
图2为本发明实施例1中提供的一种六球样板的等轴侧图。Figure 2 is an isometric view of a six-ball template provided in Embodiment 1 of the present invention.
图3为本发明实施例1中提供的一种六球样板的俯视图。Figure 3 is a top view of a six-ball template provided in Embodiment 1 of the present invention.
图4为本发明实施例1中提供的测球同时与六球样板中的三个标准球接触时的示意图。Figure 4 is a schematic diagram of the measuring ball provided in Embodiment 1 of the present invention when it is in contact with three standard balls in the six-ball model at the same time.
图5为本发明实施例4中提供的一种利用六球样板进行齿距与齿厚标定时,计算测球理论位置时的几何关系图。Figure 5 is a geometric relationship diagram for calculating the theoretical position of the measuring ball when calibrating the tooth pitch and tooth thickness using a six-ball template provided in Embodiment 4 of the present invention.
图6为本发明实施例4中提供的一种利用六球样板进行齿距与齿厚标定时,测量仪器测量出的两组标准球之间的测量间距示意图。FIG. 6 is a schematic diagram of the measurement distance between two sets of standard balls measured by a measuring instrument when using a six-ball template for calibrating tooth pitch and tooth thickness provided in Embodiment 4 of the present invention.
图7为本发明实施例4中提供的一种六球样板,其中,六个标准球的直径不相同,但每组中的三个标准球都两两相切的示意图。Figure 7 is a schematic diagram of a six-ball template provided in Embodiment 4 of the present invention, in which the diameters of the six standard balls are different, but the three standard balls in each group are all tangent to each other.
图8为本发明实施例4中提供的另一种利用六球样板进行齿距与齿厚标定时,计算测球理论位置时的几何关系图。Figure 8 is another geometric relationship diagram for calculating the theoretical position of the measuring ball when calibrating the tooth pitch and tooth thickness using a six-ball template provided in Embodiment 4 of the present invention.
图中标记说明Marking instructions in the figure
第一标准球1;第二标准球2;第三标准球3;第四标准球4;第五标准球5;第六标准球6;基板7;测头8;测针9;测头10;标注信息11。The first standard ball 1; the second standard ball 2; the third standard ball 3; the fourth standard ball 4; the fifth standard ball 5; the sixth standard ball 6; base plate 7; probe 8; probe 9; probe 10 ;Mark information 11.
具体实施方式Detailed ways
下面将结合本发明实施例中附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。通常在此处附图中描述和示出的本发明实施例的组件可以以各种不同的配置来布置和设计。因此,以下对在附图中提供的本发明的实施例的详细描述并非旨在限制要求保护的本发明的范围,而是仅仅表示本发明的选定实施例。基于本发明的实施例,本领域技术人员在没有做出创造性劳动的前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some of the embodiments of the present invention, rather than all the embodiments. The components of the embodiments of the invention generally described and illustrated in the figures herein may be arranged and designed in a variety of different configurations. Therefore, the following detailed description of the embodiments of the invention provided in the appended drawings is not intended to limit the scope of the claimed invention, but rather to represent selected embodiments of the invention. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without any creative work fall within the scope of protection of the present invention.
背景技术中介绍的测量仪器中,常用的测头结构,如图1所示,图中标记8为测头,标记9为测针,标记10为测球。Among the measuring instruments introduced in the background art, the commonly used probe structure is as shown in Figure 1. In the figure, mark 8 is the probe, mark 9 is the stylus, and mark 10 is the stylus ball.
实施例1Example 1
请参阅图2以及图3,本实施例中提供了一种六球样板,包括基板7、六个标准球,六个标准球分为两组,每组包含三个标准球,每组中的三个标准球围在一起,使得测球10可以与三个标准球同时相切,所述两组标准球分别固定在基板7的两个方向。Please refer to Figure 2 and Figure 3. This embodiment provides a six-ball template, including a base plate 7 and six standard balls. The six standard balls are divided into two groups, each group containing three standard balls. The three standard balls are surrounded together so that the measuring ball 10 can be tangent to the three standard balls at the same time. The two sets of standard balls are respectively fixed in two directions of the base plate 7 .
在本实施例中,每组中的三个标准球两两相切,如图2中的第一标准球1、第二标准球2以及第三标准球3是两两相切的,第四标准球4、第五标准球5以及第六标准球6是两两相切的;各标准球均是固定在基板7上的,每组中的三个标准球以两两相切的位置关系设置在基板7上,测量仪器在进行齿距与齿厚标定时,测头8的测球10能同时与一组中的三个测球10相接触,如图4所示,形成三个接触点,三个接触点对测球10形成三点支撑,从而更容易限制测量过程中测球10的滑动,提高定位精度,进而有效地提高齿距与齿厚标定的精度;此外,每组中的三个标准球两两相切的设置在基板7上后,还便于后期齿距与齿厚标定过程中对每个球进行定位,从而简化计算测头8与每组中的三个标准球同时接触时的理论位置的过程,使得计算更简洁、方便。In this embodiment, the three standard balls in each group are tangent to each other. The first standard ball 1, the second standard ball 2 and the third standard ball 3 in Figure 2 are tangent to each other. The standard ball 4, the fifth standard ball 5 and the sixth standard ball 6 are tangent to each other; each standard ball is fixed on the base plate 7, and the three standard balls in each group are in a tangent position relationship. Set on the base plate 7, when the measuring instrument is calibrating the tooth pitch and tooth thickness, the measuring ball 10 of the measuring head 8 can be in contact with three measuring balls 10 in a group at the same time, as shown in Figure 4, forming three contacts. The three contact points form a three-point support for the measuring ball 10, which makes it easier to limit the sliding of the measuring ball 10 during the measurement process, improve the positioning accuracy, and thereby effectively improve the accuracy of the tooth pitch and tooth thickness calibration; in addition, in each group, After the three standard balls are arranged tangentially on the base plate 7, it is also convenient to position each ball during the later calibration process of tooth pitch and tooth thickness, thereby simplifying the calculation of the probe 8 and the three standard balls in each group. The process of contacting the theoretical position at the same time makes the calculation more concise and convenient.
在进一步地方案中,六球样板中的六个标准球的直径是相同的;这样,一方面,有利于简化生产和制造过程;另一方面,也方便后期齿距与齿厚标定过程中,测头8上的测球10与每组中的三个标准球同时接触,还可以简化计算测头8与每组中的三个标准球同时接触时的理论位置的过程。In a further solution, the diameters of the six standard balls in the six-ball template are the same; this, on the one hand, helps simplify the production and manufacturing process; on the other hand, it also facilitates the later calibration process of tooth pitch and tooth thickness. The measuring ball 10 on the measuring head 8 is in simultaneous contact with the three standard balls in each group, which can also simplify the process of calculating the theoretical position when the measuring head 8 is in simultaneous contact with the three standard balls in each group.
在本实施例中,基板7采用的是平板;因为当基板7为平板时,既便于基板7设置或固定在测量仪器上,以进行齿距与齿厚标定;又便于使用标准测量仪器测定两组标准球之间的间距。In this embodiment, the base plate 7 is a flat plate; because when the base plate 7 is a flat plate, it is not only convenient for the base plate 7 to be set or fixed on a measuring instrument for calibrating the tooth pitch and tooth thickness; it is also convenient to use a standard measuring instrument to measure the two dimensions. The spacing between sets of standard balls.
标准球的精度不低于测头8上测球10的精度;六球样板中的标准球是测量仪器进行齿距与齿厚标定时的参考球,其精度对于齿距与齿厚标定的精度有很大的影响,所以在六球样板的设计之初就需要尽量降低或排除这种影响,只要当标准球的精度不低于测球10本身的制造精度时,标准球作为参考球对于齿距与齿厚标定精度的影响才会降到最低,可以忽略不计。The accuracy of the standard ball is not lower than the accuracy of the measuring ball 10 on the measuring head 8; the standard ball in the six-ball sample is the reference ball when the measuring instrument performs tooth pitch and tooth thickness calibration, and its accuracy is critical to the accuracy of the tooth pitch and tooth thickness calibration. It has a great influence, so it is necessary to reduce or eliminate this influence as much as possible at the beginning of the design of the six-ball model. As long as the accuracy of the standard ball is not lower than the manufacturing accuracy of the measuring ball 10 itself, the standard ball serves as a reference ball for the tooth. Only then will the influence of pitch and tooth thickness calibration accuracy be minimized and can be ignored.
具体而言,在本实施例中,标准球的精度高于测头8上测球10的精度一个等级。标准球的精度越高,其制造过程越麻烦、周期越长、成本越高;当标准球的精度高于测球10的精度一个等级时,标准球的精度对齿距与齿厚标定的误差影响较小,同时也能很好的平衡六球样板的制作成本。Specifically, in this embodiment, the accuracy of the standard ball is one level higher than the accuracy of the measuring ball 10 on the measuring head 8 . The higher the accuracy of the standard ball, the more troublesome the manufacturing process, the longer the cycle, and the higher the cost; when the accuracy of the standard ball is one level higher than the accuracy of the measuring ball 10, the accuracy of the standard ball will affect the calibration error of tooth pitch and tooth thickness. The impact is small, and it can also well balance the production cost of the six-ball prototype.
由于对标准球的精度要求非常高,所以标准球还必须要有高硬度、高耐磨性、防静电、防磁、绝缘性能好、热传导率低、防酸碱性好、极低的表面粗糙度等各项特性,从而可以防止因为环境因素对六球样板中的标准球产生影响,进而影响到齿距与齿厚标定的精度;而在常用的材料中,红宝石、陶瓷、玻璃、碳化钨等材料都具有以上特性,满足标准球的要求,因而可以优先采用红宝石或陶瓷或玻璃或碳化钨等材料来制作标准球;在本实施例中,标准球采用的是陶瓷材料,具体而言,是陶瓷材料中的氮化硅材料;氮化硅是一种非常坚硬耐磨的陶瓷材料,可加工成精度很高的球体,也可抛光到极为光滑的表面光洁度,从而尽可能的提高标准球的精度,降低标准球的精度对齿距与齿厚标定精度的影响。Since the accuracy requirements for standard balls are very high, the standard balls must also have high hardness, high wear resistance, anti-static, anti-magnetic, good insulation properties, low thermal conductivity, good acid and alkali resistance, and extremely low surface roughness. and other characteristics, thus preventing environmental factors from affecting the standard balls in the six-ball model, which in turn affects the accuracy of tooth pitch and tooth thickness calibration; among commonly used materials, ruby, ceramics, glass, tungsten carbide, etc. The materials all have the above characteristics and meet the requirements of the standard ball. Therefore, materials such as ruby, ceramic, glass, or tungsten carbide can be used to make the standard ball. In this embodiment, the standard ball is made of ceramic material. Specifically, Silicon nitride material among ceramic materials; silicon nitride is a very hard and wear-resistant ceramic material that can be processed into spheres with high precision and can also be polished to an extremely smooth surface finish, thereby improving the quality of the standard sphere as much as possible Accuracy, reducing the impact of the accuracy of the standard ball on the calibration accuracy of tooth pitch and tooth thickness.
在更进一步地方案中,基板7上还标注有标准球的直径参数(或半径参数)以及两组标准球之间的标准间距参数,如图2或图3所示;其中,标准球的半径或直径参数以及两组标准球之间的标准间距参数均是在六球样板制作完成之后,采用标准测量仪器测量出来的数据,数据可靠、精度高,便于使用该六球样板时参考。In a further solution, the substrate 7 is also marked with the diameter parameter (or radius parameter) of the standard ball and the standard spacing parameter between the two sets of standard balls, as shown in Figure 2 or Figure 3; where, the radius of the standard ball Or the diameter parameters and the standard spacing parameters between the two sets of standard balls are all data measured using standard measuring instruments after the six-ball sample is produced. The data are reliable and highly accurate, making it easy to refer to when using the six-ball sample.
实施例2Example 2
本实施例2与上述实施例1的主要区别在于,在本实施例中,所述六球样板中每组中的三个标准球可以是相离的,即三个标准球不一定相切;但三个标准球是设置在基板上,并围在一起的,此时需要平衡好标准球的直径与两球之间的中心距,才能保证测头的测球能同时与三个标准球相切;以便测量仪器在进行齿距与齿厚标定时,测头的测球能同时与一组中的三个测球相接触,形成三个接触点,三个接触点对测球形成三点支撑,从而更容易限制测量过程中测球的滑动,提高定位精度,进而有效地提高齿距与齿厚标定的精度。The main difference between this embodiment 2 and the above-mentioned embodiment 1 is that in this embodiment, the three standard balls in each group of the six-ball template can be separated from each other, that is, the three standard balls are not necessarily tangent; However, the three standard balls are set on the base plate and surrounded together. At this time, it is necessary to balance the diameter of the standard ball and the center distance between the two balls to ensure that the measuring ball of the probe can be in contact with the three standard balls at the same time. cut; so that when the measuring instrument is calibrating the tooth pitch and tooth thickness, the measuring ball of the measuring head can contact the three measuring balls in a group at the same time, forming three contact points, and the three contact points form three points on the measuring ball. Support makes it easier to limit the sliding of the measuring ball during the measurement process, improve positioning accuracy, and effectively improve the accuracy of tooth pitch and tooth thickness calibration.
实施例3Example 3
本实施例3与上述实施例1的主要区别在于,在本实施例中,所述六球样板中的六个个标准球的直径不一定全相等;但三个标准球是设置在基板上,并围在一起的,此时需要平衡好标准球的直径与两球之间的中心距,保证测头的测球能同时与三个标准球相切即可;以便测量仪器在进行齿距与齿厚标定时,测头的测球能同时与一组中的三个测球相接触,形成三个接触点,三个接触点对测球形成三点支撑,从而更容易限制测量过程中测球的滑动,提高定位精度,进而有效地提高齿距与齿厚标定的精度。The main difference between this embodiment 3 and the above-mentioned embodiment 1 is that in this embodiment, the diameters of the six standard balls in the six-ball template are not necessarily all the same; but the three standard balls are arranged on the base plate. and surrounded together. At this time, it is necessary to balance the diameter of the standard ball and the center distance between the two balls to ensure that the measuring ball of the probe can be tangent to the three standard balls at the same time; so that the measuring instrument can perform tooth pitch and When calibrating the tooth thickness, the measuring ball of the probe can contact three measuring balls in a group at the same time, forming three contact points. The three contact points form a three-point support for the measuring ball, making it easier to limit the measurement process. The sliding of the ball improves the positioning accuracy, thereby effectively improving the accuracy of tooth pitch and tooth thickness calibration.
实施例4Example 4
本实施例中提供了一种标定方法,包括如下步骤:This embodiment provides a calibration method, which includes the following steps:
(1)获得六球样板中各标准球的半径或直径参数以及球心位置参数。(1) Obtain the radius or diameter parameters and ball center position parameters of each standard ball in the six-ball template.
(2)获得测量仪器中测球的半径或直径参数;(2) Obtain the radius or diameter parameters of the measuring ball in the measuring instrument;
(3)根据步骤(1)和(2)中获得的数据,通过计算获得测球与每组中的三个标准球同时接触时的理论位置参数;(3) Based on the data obtained in steps (1) and (2), calculate and obtain the theoretical position parameters of the measuring ball when it contacts the three standard balls in each group at the same time;
(4)控制测量仪器的测球在理论位置对相应组中的三个标准球进行测量,分别获得两组标准球的位置参数A和B,并通过计算获得两组标准球之间的测量间距参数L,其中L=|A-B|;(4) Control the measuring ball of the measuring instrument to measure the three standard balls in the corresponding group at the theoretical position, obtain the position parameters A and B of the two sets of standard balls respectively, and obtain the measurement distance between the two sets of standard balls through calculation Parameter L, where L=|A-B|;
(5)将步骤(4)中的测量间距L与标准间距L0进行对比,确定测量仪器的精度,完成齿距与齿厚标定;其中,标准间距L0是利用标准测量仪器获得的该六球样板中两组标准球之间的间距。(5) Compare the measured spacing L in step (4) with the standard spacing L 0 to determine the accuracy of the measuring instrument and complete the calibration of the tooth pitch and tooth thickness; among them, the standard spacing L 0 is the six-dimensional space obtained by using a standard measuring instrument. The distance between two sets of standard balls in the ball template.
例1:针对实施例1中的六球样板,六个标准球的直径相同,且每组中的三个标准球两两相切的情况,其标定过程如下:Example 1: Regarding the six-ball template in Example 1, the diameters of the six standard balls are the same, and the three standard balls in each group are tangent to each other. The calibration process is as follows:
步骤1:获得六球样板中各标准球的半径或直径参数以及球心位置参数。Step 1: Obtain the radius or diameter parameters and ball center position parameters of each standard ball in the six-ball template.
在本步骤中,可以通过标准测量仪器测量六球样板中标准球的直径参数(或半径参数),或者直接参考基板上标注的标准球的直径参数(或半径参数),从而方便的获得标准球的半径为R;In this step, you can use a standard measuring instrument to measure the diameter parameters (or radius parameters) of the standard balls in the six-ball template, or directly refer to the diameter parameters (or radius parameters) of the standard balls marked on the substrate, so as to easily obtain the standard balls. The radius of is R;
进一步地,在建立适当的坐标系后,可知第一标准球1的球心坐标为D(x1,y1,z1),第二标准球2的球心坐标为E(x2,y2,z2),第二标准球3的球心坐标为F(x3,y3,z3)。Further, after establishing an appropriate coordinate system, it can be seen that the coordinates of the center of the first standard sphere 1 are D(x 1 ,y 1 ,z 1 ), and the coordinates of the center of the second standard sphere 2 are E(x 2 ,y 2 ,z 2 ), the center coordinate of the second standard sphere 3 is F(x 3 ,y 3 ,z 3 ).
步骤2:获得测量仪器中测球的半径或直径参数。Step 2: Obtain the radius or diameter parameters of the measuring ball in the measuring instrument.
在本步骤中,测量仪器中测球的半径或直径参数可以直接从测头的配套说明书中直接获得,也可以利用标准测量仪器进行现场测量,从而获得测球的半径为r。In this step, the radius or diameter parameter of the measuring ball in the measuring instrument can be obtained directly from the supporting instructions of the measuring head, or a standard measuring instrument can be used for on-site measurement to obtain the radius r of the measuring ball.
步骤3:根据步骤1和2中获得的数据,通过计算获得测球与每组中的三个标准球同时接触时的理论位置参数。Step 3: Based on the data obtained in steps 1 and 2, calculate the theoretical position parameters of the measuring ball when it contacts the three standard balls in each group at the same time.
在本步骤中,假设测球同时与三个标准球接触时的理论位置为O,并假设O点的坐标为(x0,y0,z0),待求;In this step, assume that the theoretical position of the measuring ball when it is in contact with three standard balls at the same time is O, and assume that the coordinates of point O are (x 0 , y 0 , z 0 ), to be found;
如图5所示,当测球同时与三个标准球接触时,所示三个标准球的球心与测球的球心的连线可以构成一个三棱锥O-DEF,其中(其中/>为向量的模,表示D点与E点之间的距离,其余类似,后文不再赘述),/>其中,的D、E、F的坐标在第一步中已经获得,故:As shown in Figure 5, when the measuring ball is in contact with three standard balls at the same time, the line connecting the centers of the three standard balls and the center of the measuring ball can form a triangular pyramid O-DEF, where (Which/> is the module of the vector, indicating the distance between point D and point E. The rest are similar and will not be described again below),/> Among them, the coordinates of D, E, and F have been obtained in the first step, so:
联立解之即可得到O点的坐标(x0,y0,z0),从而获得测球与每组中的三个标准球同时接触时的理论位置参数。By solving them simultaneously, the coordinates of point O (x 0 , y 0 , z 0 ) can be obtained, thereby obtaining the theoretical position parameters when the measuring ball contacts the three standard balls in each group at the same time.
步骤4:控制测量仪器的测球在理论位置O相对应的三个标准球进行测量,另外一个位置的测量方法相同,从而测量仪器会分别获得两组标准球的位置参数A和B,并通过计算获得两组标准球之间的测量间距参数L,其中L=|A-B|,如图6所示。Step 4: Control the measuring ball of the measuring instrument to measure the three standard balls corresponding to the theoretical position O. The measurement method for the other position is the same, so the measuring instrument will obtain the position parameters A and B of the two sets of standard balls respectively, and pass Calculate and obtain the measurement distance parameter L between the two sets of standard balls, where L=|A-B|, as shown in Figure 6.
步骤5:将步骤4中的测量间距L与标准间距L0进行对比,确定测量仪器的精度,完成齿距与齿厚标定;其中,标准间距L0是利用标准测量仪器获得的该六球样板中两组标准球之间的标准间距。Step 5: Compare the measured spacing L in step 4 with the standard spacing L 0 to determine the accuracy of the measuring instrument and complete the calibration of the tooth pitch and tooth thickness; where the standard spacing L 0 is the six-ball sample obtained using a standard measuring instrument. The standard distance between the two sets of standard balls.
利用六球样板对测量仪器进行齿距与齿厚标定的整个过程简单,并利用三个标准球对测球形成三点稳定的支撑,从而大大降低了测量仪器测球的滑动误差,可以有效地提高齿距与齿厚的标定精度。The whole process of using a six-ball template to calibrate the tooth pitch and tooth thickness of the measuring instrument is simple, and three standard balls are used to form a three-point stable support for the measuring ball, which greatly reduces the sliding error of the measuring ball of the measuring instrument and can effectively Improve the calibration accuracy of tooth pitch and tooth thickness.
从上述公式可以看出,测球与每组中的三个标准球同时接触时的理论位置O点的位置参数只与测球的半径r及标准球的半径R有关,而与三标准球之间是否两两相切无关,故可以理解,针对实施例2中,当六球样板中的六个标准球直径相同,但每组中的三个标准球相离(即互不相切)时,测量仪器进行齿距与齿厚标定的步骤与计算公式与例1相同。It can be seen from the above formula that the theoretical position of point O when the measuring ball contacts the three standard balls in each group at the same time is only related to the radius r of the measuring ball and the radius R of the standard ball, and is related to the radius R of the three standard balls. It does not matter whether the two are tangent to each other, so it can be understood that in Example 2, when the six standard balls in the six-ball template have the same diameter, but the three standard balls in each group are separated (that is, not tangent to each other) , the steps and calculation formulas for calibrating the tooth pitch and tooth thickness of the measuring instrument are the same as in Example 1.
例2:针对实施例3中的六球样板,六个标准球的直径不相同,但每组中的三个标准球都两两相切的情况,如图7所示,其标定过程如下:Example 2: Regarding the six-ball template in Example 3, the diameters of the six standard balls are different, but the three standard balls in each group are all tangent to each other, as shown in Figure 7. The calibration process is as follows:
步骤1:获得六球样板中各标准球的半径或直径参数以及球心位置参数。Step 1: Obtain the radius or diameter parameters and ball center position parameters of each standard ball in the six-ball template.
在本步骤中,可以通过标准测量仪器测量六球样板中标准球的直径参数(或半径参数),或者直接参考基板上标注的标准球的直径参数(或半径参数),从而方便的获得第一标准球的半径为R1,第二标准球的半径为R2,第三标准球的半径为R3(这里只计算一组标准球,另一组标准球的计算方法相同)。In this step, you can use a standard measuring instrument to measure the diameter parameters (or radius parameters) of the standard balls in the six-ball sample, or directly refer to the diameter parameters (or radius parameters) of the standard balls marked on the substrate, so as to easily obtain the first The radius of the standard sphere is R 1 , the radius of the second standard sphere is R 2 , and the radius of the third standard sphere is R 3 (only one set of standard spheres is calculated here, and the calculation method for the other set of standard spheres is the same).
进一步地,在建立适当的坐标系后,可知第一标准球1的球心坐标为D(x1,y1,z1),第二标准球2的球心坐标为E(x2,y2,z2),第二标准球3的球心坐标为F(x3,y3,z3)。Further, after establishing an appropriate coordinate system, it can be seen that the coordinates of the center of the first standard sphere 1 are D(x 1 ,y 1 ,z 1 ), and the coordinates of the center of the second standard sphere 2 are E(x 2 ,y 2 ,z 2 ), the center coordinate of the second standard sphere 3 is F(x 3 ,y 3 ,z 3 ).
步骤2与上述步骤2相同;Step 2 is the same as step 2 above;
步骤3:根据步骤1和2中获得的数据,通过计算获得测球与每组中的三个标准球同时接触时的理论位置参数。Step 3: Based on the data obtained in steps 1 and 2, calculate the theoretical position parameters of the measuring ball when it contacts the three standard balls in each group at the same time.
在本步骤中,假设测球同时与三个标准球接触时的理论位置为O,并假设O点的坐标为(x0,y0,z0),待求;In this step, assume that the theoretical position of the measuring ball when it is in contact with three standard balls at the same time is O, and assume that the coordinates of point O are (x 0 , y 0 , z 0 ), to be found;
如图8所示,当测球同时与三个标准球接触时,所示三个标准球的球心与测球的球心的连线可以构成一个三棱锥O-DEF,其中 且/>其中,的D、E、F的坐标在第一步中已经获得,故:As shown in Figure 8, when the measuring ball is in contact with three standard balls at the same time, the line connecting the centers of the three standard balls and the center of the measuring ball can form a triangular pyramid O-DEF, where And/> Among them, the coordinates of D, E, and F have been obtained in the first step, so:
联立解之即可得到O点的坐标(x0,y0,z0),从而获得测球与每组中的三个标准球同时接触时的理论位置参数。By solving them simultaneously, the coordinates of point O (x 0 , y 0 , z 0 ) can be obtained, thereby obtaining the theoretical position parameters when the measuring ball contacts the three standard balls in each group at the same time.
步骤4、步骤5分别与上述步骤4、步骤5相同,这里不再赘述。Steps 4 and 5 are the same as the above-mentioned steps 4 and 5 respectively, and will not be described again here.
同理,可以理解,当六球样板中的六个标准球直径不相同,且每组中的三个标准球相离(即互不相切)时,测量仪器进行齿距与齿厚标定的步骤与计算公式与例2相同。In the same way, it can be understood that when the diameters of the six standard balls in the six-ball model are different, and the three standard balls in each group are separated from each other (that is, not tangent to each other), the measuring instrument performs tooth pitch and tooth thickness calibration. The steps and calculation formula are the same as Example 2.
以上所述,仅为本发明的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本发明揭露的技术范围内,可轻易想到变化或替换,都应涵盖在本发明的保护范围之内。The above are only specific embodiments of the present invention, but the protection scope of the present invention is not limited thereto. Any person familiar with the technical field can easily think of changes or substitutions within the technical scope disclosed by the present invention. should be covered by the protection scope of the present invention.
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