CN103616127A - Source tracing calibrating device and source tracing method for micro cantilever beam elastic constant - Google Patents

Source tracing calibrating device and source tracing method for micro cantilever beam elastic constant Download PDF

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CN103616127A
CN103616127A CN201310557061.3A CN201310557061A CN103616127A CN 103616127 A CN103616127 A CN 103616127A CN 201310557061 A CN201310557061 A CN 201310557061A CN 103616127 A CN103616127 A CN 103616127A
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force
cantilever beam
displacement
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CN103616127B (en
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李艳宁
文莉
吴森
陈治
多伦雷丹特
胡小唐
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Tianjin University
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Abstract

本发明提供一种微悬臂梁弹性常数溯源标定装置,所述溯源标定装置的结构包括有大理石框架、纳米天平、微悬臂梁、三维微纳位移台、力加载杆、偏振差分干涉仪、仪器控制器、计算机与测控软件。同时提供一种微悬臂梁弹性常数的溯源标定装置的溯源方法。本发明的效果是使用该装置上实现了弹性常数值直接溯源到国际单位制SI。该装置将偏振差分干涉仪的测量光束在微悬臂梁自由端的上表面形成的微光斑与纳米天平上的力加载杆对微悬臂梁自由端的下表面加载时的力加载点完全重合并与重力方向一致,使得阿贝臂为零,遵守了位移测量的阿贝原则,避免了阿贝误差的产生,保证了溯源仪器的测量准确度。可以保证不同实验室利用微悬臂梁进行微力测量的统一性、可靠性和可比性。

Figure 201310557061

The invention provides a micro-cantilever beam elastic constant traceability calibration device, the structure of the traceability calibration device includes a marble frame, a nanoscale balance, a micro-cantilever beam, a three-dimensional micro-nano displacement stage, a force loading rod, a polarization differential interferometer, and an instrument control device, computer and measurement and control software. At the same time, it provides a traceability method for the traceability calibration device of the elastic constant of the micro-cantilever beam. The effect of the invention is that the elastic constant value can be directly traced to the international system of units SI by using the device. The device completely coincides the micro-spot formed by the measuring beam of the polarization differential interferometer on the upper surface of the free end of the micro-cantilever with the force loading point when the force-loading rod on the nanobalance loads the lower surface of the free end of the micro-cantilever and is aligned with the direction of gravity. Consistency makes the Abbe arm zero, complies with the Abbe principle of displacement measurement, avoids the Abbe error, and ensures the measurement accuracy of the traceability instrument. It can ensure the uniformity, reliability and comparability of micro-force measurements performed by different laboratories using micro-cantilever beams.

Figure 201310557061

Description

微悬臂梁弹性常数的溯源标定装置及溯源方法Traceability Calibration Device and Traceability Method for Elastic Constant of Microcantilever Beam

技术领域technical field

本发明属于纳米科技和计量学的交叉领域,涉及一种微悬臂梁弹性常数的溯源标定装置及溯源方法。The invention belongs to the intersecting field of nanotechnology and metrology, and relates to a traceability calibration device and a traceability method for the elastic constant of a micro-cantilever beam.

背景技术Background technique

微悬臂梁的长、宽和厚三维尺寸在几个纳米(nano-meter)至几百微米(micro-meter)范围内,在使用时,一般一端固定,另一端自由,形成一个弹性元件。微悬臂梁是一种重要的微纳尺度上的传感元件,常被用作力传感器来探测微小的物理、化学和生物作用力,也被用于测量温度、介质粘度等物理量。微悬臂梁作为弹性传感元件,遵循胡克定律,即F=kΔz,其中,k是微悬臂梁的弹性常数,Δz是自由端的位移。可见,微悬臂梁的测力准确度依赖于弹性常数k的准确测量。The three-dimensional dimensions of the length, width and thickness of the micro-cantilever range from a few nanometers (nano-meter) to hundreds of micrometers (micro-meter). When in use, one end is generally fixed and the other end is free to form an elastic element. Microcantilever is an important sensing element on the micro-nano scale. It is often used as a force sensor to detect tiny physical, chemical and biological forces, and is also used to measure physical quantities such as temperature and medium viscosity. As an elastic sensing element, the micro-cantilever obeys Hooke's law, that is, F=kΔz, where k is the elastic constant of the micro-cantilever, and Δz is the displacement of the free end. It can be seen that the force measurement accuracy of the micro-cantilever depends on the accurate measurement of the elastic constant k.

为此,学者们已提出了多种方法用于微悬臂梁弹性常数的测量,主要分为静态法和动态法两大类:静态法有计算法、参考梁法、加载法等;动态法有质量添加法、Sader法和热噪声标定法。但是截止到目前,这些方法均为依据微悬臂梁的材料物理性质和尺寸推导出来的理论公式,再结合实验来测量弹性常数,尚未溯源到国际单位制SI。这使得使用微悬臂梁进行微力检测的各个实验室之间的测力数据因为没有统一的参考标准而难以比对,甚至导致对客观现象的误解。将微悬臂梁弹性常数溯源到国际单位SI已经成为微悬臂梁应用领域的当务之急。For this reason, scholars have proposed a variety of methods for the measurement of the elastic constant of micro-cantilever beams, which are mainly divided into two categories: static methods and dynamic methods: static methods include calculation methods, reference beam methods, loading methods, etc.; dynamic methods include Mass addition method, Sader method and thermal noise calibration method. But up to now, these methods are based on theoretical formulas derived from the physical properties and dimensions of micro-cantilever beams, combined with experiments to measure elastic constants, and have not been traced back to the International System of Units SI. This makes it difficult to compare the force measurement data between various laboratories using micro-cantilever beams for micro-force testing because there is no unified reference standard, and even leads to misunderstanding of objective phenomena. Tracing the elastic constant of the microcantilever to the international unit SI has become an urgent task in the application field of the microcantilever.

在微悬臂梁弹性常数的溯源标定方面,学者们也提出了一些方案,如德国技术物理研究院(Physikalisch-Technische Bundesanstalt:PTB)和韩国标准与科学研究院(Korea Research Institute of Standards and Science:KRISS)将微纳米位移台与纳米天平结合起来,采用集成在微纳位移台上的电容位移传感器进行位移的溯源,采用纳米天平进行力的溯源,但这种结构采用电容传感器测量位移,电容传感器本身需要用激光干涉仪标定才能溯源,因此该装置本身并没有把弹性常数直接值溯源到国际单位SI;不仅如此,由于测量微悬臂梁自由端位移的电容传感器与对自由端的力加载点不在一条直线上,即二者之间存在较大的距离即阿贝臂,违反了位移测量的阿贝原则,使得该系统有较大的误差,难以保证测量准确度。因而该装置也不适合作为微悬臂梁弹性常数的溯源标定装置。也有学者提出了用光杠杆作为位移测量的方案,但由于光杆杆实际测量的是微悬臂梁的偏转角度而不是位移,所以这种方案也不能把弹性常数直接溯源到国际单位制SI。Scholars have also proposed some schemes for the traceability calibration of elastic constants of micro-cantilever beams, such as Physikalisch-Technische Bundesanstalt (PTB) and Korea Research Institute of Standards and Science (KRISS). ) combines the micro-nano displacement stage with the nano-balance, uses the capacitive displacement sensor integrated on the micro-nano displacement stage to trace the source of displacement, and uses the nano-balance to trace the source of force, but this structure uses a capacitive sensor to measure displacement, and the capacitive sensor itself It needs to be calibrated with a laser interferometer to trace the source, so the device itself does not trace the direct value of the elastic constant to the international unit SI; not only that, because the capacitive sensor that measures the displacement of the free end of the micro-cantilever beam is not in a straight line with the force loading point on the free end On the other hand, there is a large distance between the two, that is, the Abbe arm, which violates the Abbe principle of displacement measurement, making the system have a large error, and it is difficult to guarantee the measurement accuracy. Therefore, this device is also not suitable as a traceable calibration device for the elastic constant of the micro-cantilever beam. Some scholars have also proposed a plan to use optical levers as displacement measurement, but since the actual measurement of the polished rod is the deflection angle of the micro-cantilever rather than the displacement, this solution cannot directly trace the elastic constants to the International System of Units SI.

发明内容Contents of the invention

本发明提供一种微悬臂梁弹性常数溯源标定装置及溯源方法,以实现微悬臂梁弹性常数与国际单位制SI的直接溯源,避免了阿贝误差的产生,保证了溯源仪器的测量准确度。The invention provides a micro-cantilever beam elastic constant traceability calibration device and a traceability method, so as to realize the direct traceability of the micro-cantilever beam elastic constant and SI, avoid the occurrence of Abbe error, and ensure the measurement accuracy of the traceability instrument.

为实现上述目的,本发明采用的技术方案是提供一种微悬臂梁弹性常数溯源标定装置,所述溯源标定装置的结构包括有大理石框架、纳米天平、微悬臂梁、三维微纳位移台、力加载杆、偏振差分干涉仪、仪器控制器、计算机与测控软件。In order to achieve the above object, the technical solution adopted in the present invention is to provide a micro-cantilever beam elastic constant traceability calibration device, the structure of the traceability calibration device includes a marble frame, a nanobalance, a micro-cantilever beam, a three-dimensional micro-nano displacement stage, a force Loading rod, polarization differential interferometer, instrument controller, computer and measurement and control software.

同时提供一种微悬臂梁弹性常数的溯源标定装置的溯源方法。At the same time, it provides a traceability method for the traceability calibration device of the elastic constant of the micro-cantilever beam.

本发明的效果是使用该装置上实现了弹性常数值直接溯源到国际单位制SI。该装置将偏振差分干涉仪的测量光束在微悬臂梁自由端的上表面形成的微光斑与纳米天平上的力加载杆对微悬臂梁自由端的下表面加载时的力加载点完全重合并与重力方向一致,使得阿贝臂为零,遵守了位移测量的阿贝原则,避免了阿贝误差的产生,保证了溯源仪器的测量准确度。可以保证不同实验室利用微悬臂梁进行微力测量的统一性、可靠性和可比性。The effect of the invention is that the elastic constant value can be directly traced to the international system of units SI by using the device. The device completely coincides with the micro-spot formed by the measuring beam of the polarization differential interferometer on the upper surface of the free end of the micro-cantilever beam and the force loading point when the force-loading rod on the nanobalance loads the lower surface of the free end of the micro-cantilever beam and is aligned with the direction of gravity. Consistency makes the Abbe arm zero, complies with the Abbe principle of displacement measurement, avoids the Abbe error, and ensures the measurement accuracy of the traceability instrument. It can ensure the uniformity, reliability and comparability of micro-force measurements performed by different laboratories using micro-cantilever beams.

附图说明Description of drawings

图1微悬臂梁弹性常数溯源标定装置结构示意图;Fig. 1 Schematic diagram of the traceable calibration device for the elastic constant of the micro-cantilever beam;

图2步进加载获得的力-位移数组及其拟合的直线。Fig. 2 Force-displacement array obtained by step loading and its fitted straight line.

图中:In the picture:

1、大理石框架  2、纳米天平  3、微悬臂梁  4、三维微纳位移台5、力加载杆  6、偏振差分干涉仪  7、装置控制器  8、计算机与测控软件9、x向单轴微纳位移器  10、y向单轴微纳位移器  11、z向单轴微纳位移器12、弹性卡箍  13、He-Ne偏振激光器  14、法拉第光隔离器15、索累-巴比涅补偿器  16、扩束器  17、分束器  18、聚焦透镜19、沃拉斯顿棱镜A  20、沃拉斯顿棱镜B  21、光电二极管A22、光电二极管  23、光路箱体  24、光电信号处理模块  25、光学显微镜1. Marble frame 2. Nano balance 3. Micro cantilever beam 4. Three-dimensional micro-nano displacement stage 5. Force loading rod 6. Polarization differential interferometer 7. Device controller 8. Computer and measurement and control software 9. X-direction single-axis micro-nano Displacer 10, y-direction uniaxial micro-nano displacement device 11, z-direction uniaxial micro-nano displacement device 12, elastic clamp 13, He-Ne polarization laser 14, Faraday optical isolator 15, Sorey-Babignet compensator 16. Beam expander 17. Beam splitter 18. Focusing lens 19. Wollaston prism A 20. Wollaston prism B 21. Photodiode A22, photodiode 23, optical path box 24, photoelectric signal processing module 25 ,Optical microscope

具体实施方式Detailed ways

结合附图对本发明的微悬臂梁弹性常数溯源标定装置及溯源方法加以说明。The micro-cantilever elastic constant traceability calibration device and traceability method of the present invention will be described in conjunction with the accompanying drawings.

本发明的微悬臂梁弹性常数溯源标定装置该溯源标定装置的设计思想是基于采用偏振差分干涉仪作为微梁自由端的位移测量手段,实现与国际单位制中长度单位米(m)的溯源;以纳米天平作为力的测量手段,实现与国际单位制中力的单位牛顿(N)的溯源。依据该溯源标定装置的溯源方法的特征是通过实验获得微悬臂梁的力-位移曲线,再通过直线拟合并求取其斜率平均值的方法获得微悬臂梁的弹性常数溯源值。在该溯源装置中,反射差分干涉仪的测量光束在微悬臂梁的上表面上形成的微光斑与纳米天平通过力加载杆在微悬臂梁的下表面上的力加载点在同一条直线上,且与重力(竖直)方向保持一致。The traceability and calibration device for the elastic constant of the micro-cantilever beam of the present invention is based on the design idea of the traceability calibration device based on the use of a polarization differential interferometer as the displacement measurement means of the free end of the micro-beam, and realizes the traceability with the length unit meter (m) in the International System of Units; As a means of force measurement, the nanobalance realizes the traceability with Newton (N), the unit of force in the International System of Units. The traceability method according to the traceability calibration device is characterized in that the force-displacement curve of the microcantilever is obtained through experiments, and then the elastic constant traceability value of the microcantilever is obtained by straight line fitting and calculating the average value of the slope. In the traceability device, the micro-spot formed on the upper surface of the micro-cantilever by the measuring beam of the reflective differential interferometer is on the same straight line as the force loading point of the nanobalance on the lower surface of the micro-cantilever through the force-loading rod, And keep in line with the gravitational (vertical) direction.

如图1、2所示,本发明的微悬臂梁弹性常数标定装置的结构是,包括有大理石框架1、纳米天平2、微悬臂梁3、三维微纳位移台4、固定在所述的纳米天平上的力加载杆5、偏振差分干涉仪6、仪器控制器7、计算机与测控软件8等几部分组成。As shown in Figures 1 and 2, the structure of the micro-cantilever beam elastic constant calibration device of the present invention is to include a marble frame 1, a nanobalance 2, a micro-cantilever beam 3, a three-dimensional micro-nano displacement platform 4, and be fixed on the nanometer The force loading rod 5 on the balance, the polarization differential interferometer 6, the instrument controller 7, the computer and the measurement and control software 8 are composed of several parts.

所述的大理石框架1为装置机械部分的支撑结构,选择大理石材料为支撑结构是由于大理石具有密度大、强度高、硬度高、稳定性好、耐磨耐压、不生锈、不磁化、耐酸碱、热膨胀系数小而不因室温波动产生大的形变等优点。所述的大理石框架1上固定有纳米天平2、三维微纳位移台4和反射差分干涉仪6的光路箱体23等三个模块。所述的纳米天平2是根据电磁平衡原理设计制造的,其质量分辨力为0.01mg,量程为2.1g。所述的纳米天平的顶部固定有力加载杆5。所述的力加载杆5为高硬度材料制成,如硅等材料,其主体为圆柱形,直径为2~3mm之间,顶部中央为半球冠形状,球冠的半径在10~50μm,球冠的顶部中心是对微悬臂梁自由端施加载荷的加载点。所述三维微纳位移台由x向单轴微纳位移器9、y向单轴微纳位移器10和z向单轴微纳位移器11组成,所述x向、y向和z向单轴微纳位移器彼此正交。所述z向单轴微纳位移器11的底部固定有弹性卡箍12,微悬臂梁3通过所述的弹性卡箍12固定在z向微纳位移器11上。所述z向单轴微纳位移器11固定在所述的y向微纳位移器10上,而所述y向微纳位移器10又固定在x向微纳位移器上9上,因此通过调整所述的x向、y向和z向微纳位移器,可以调整微悬臂梁的空间位置。所述的x向、y向和z向单轴微纳位移器的行程均为几百μm~1mm,位移分辨力为1~10nm。The marble frame 1 is the supporting structure of the mechanical part of the device. The marble material is selected as the supporting structure because marble has high density, high strength, high hardness, good stability, wear resistance and pressure resistance, no rust, no magnetization, and It has the advantages of small acid-base, thermal expansion coefficient and no large deformation due to room temperature fluctuations. The marble frame 1 is fixed with three modules including a nanobalance 2 , a three-dimensional micro-nano displacement stage 4 and an optical path box 23 of a reflective differential interferometer 6 . The nanobalance 2 is designed and manufactured according to the principle of electromagnetic balance, with a mass resolution of 0.01 mg and a measuring range of 2.1 g. A powerful loading rod 5 is fixed on the top of the nanobalance. The force loading rod 5 is made of high-hardness materials, such as silicon, and its main body is cylindrical with a diameter of 2 to 3 mm. The center of the top is in the shape of a hemispherical crown. The top center of the crown is the loading point for applying the load to the free end of the microcantilever. The three-dimensional micro-nano displacement stage is composed of an x-direction uniaxial micro-nano displacement device 9, a y-direction uniaxial micro-nano displacement device 10 and a z-direction uniaxial micro-nano displacement device 11, and the x-direction, y-direction and z-direction single-axis The axis micro-nanodisplacers are orthogonal to each other. An elastic clamp 12 is fixed at the bottom of the z-direction uniaxial micro-nano displacement device 11 , and the micro-cantilever beam 3 is fixed on the z-direction micro-nano displacement device 11 through the elastic clamp 12 . The z-direction uniaxial micro-nano displacement device 11 is fixed on the y-direction micro-nano displacement device 10, and the y-direction micro-nano displacement device 10 is fixed on the x-direction micro-nano displacement device 9, so by By adjusting the x-direction, y-direction and z-direction micro-nano displacement, the spatial position of the micro-cantilever beam can be adjusted. The strokes of the x-direction, y-direction and z-direction uniaxial micro-nano displacement device are all hundreds of μm-1mm, and the displacement resolution is 1-10nm.

所述偏振差分干涉仪6由He-Ne偏振激光器13、法拉第光隔离器14、索累-巴比涅补偿器15、扩束器16、分束器17、聚焦透镜18、汤普森格兰棱镜19、沃拉斯顿棱镜20、光电二极管21、光电二极管22、光路箱体23、光电信号处理模块24组成。所述光路箱体23中包含有所述的激光器13、法拉第光隔离器14、索累-巴比涅补偿器15、扩束器16、分束器17、聚焦透镜18、沃拉斯顿棱镜A19、沃拉斯顿棱镜B20、光电二极管A21、光电二极管B22等,且内部涂为黑色,以减少杂散光的干扰。该光路的基本工作原理是,所述的He-Ne偏振激光器13为激光器,发出混合在一起的p态和s态偏振光光束。所述的光束经过所述的法拉第光隔离器14后,形成了光强相等、相互正交的p态和s态偏振光。而光束进入所述的索累-巴比涅补偿器15后,其输出的p态和s态偏振光的相位Φ会受到该索累-巴比涅补偿器的调制。然后,光束经过所述的扩束器16后变为束径更大、能量均匀分布的光束。扩束后的光束进入所述的分束器17后,一部分折射,另一部分透射,形成了两束光束。从所述的分束器17透射出来的光束经所述的聚焦透镜18后形成聚焦光束,再进入所述的沃拉斯顿棱镜A19,形成了空间上彼此分离的p态和s态偏振光。The polarization differential interferometer 6 is composed of a He-Ne polarization laser 13, a Faraday optical isolator 14, a Sorey-Babignet compensator 15, a beam expander 16, a beam splitter 17, a focusing lens 18, and a Thompson Glan prism 19 , a Wollaston prism 20, a photodiode 21, a photodiode 22, an optical path box 23, and a photoelectric signal processing module 24. The optical path box 23 includes the laser 13, Faraday optical isolator 14, Sorey-Babignet compensator 15, beam expander 16, beam splitter 17, focusing lens 18, Wollaston prism A19, Wollaston prism B20, photodiode A21, photodiode B22, etc., and the interior is painted black to reduce the interference of stray light. The basic working principle of this optical path is that the He-Ne polarized laser 13 is a laser that emits mixed p-state and s-state polarized light beams. After the light beam passes through the Faraday optical isolator 14, it forms p-state and s-state polarized light with equal light intensity and orthogonal to each other. After the light beam enters the Sorey-Babignet compensator 15, the phase Φ of the output p-state and s-state polarized light will be modulated by the Sorey-Babignet compensator. Then, after the beam passes through the beam expander 16, it becomes a beam with a larger beam diameter and uniform energy distribution. After the expanded beam enters the beam splitter 17, part of it is refracted and the other part is transmitted to form two beams. The beam transmitted from the beam splitter 17 passes through the focusing lens 18 to form a focused beam, and then enters the Wollaston prism A19 to form the p-state and s-state polarized light that are spatially separated from each other .

所述的p态偏振光照射到所述的微悬臂梁3的自由端上表面并反射回来,作为测量光束。所述的s态偏振光照射到微悬臂梁的固定端,作为参考光束。从所述的微悬臂梁3的自由端和固定端反射回来的p态和s态偏振光沿原路返回,经过所述的沃拉斯顿棱镜A19、所述的聚焦透镜18后,被所述的分束器17折射至所述的沃拉斯顿棱镜20,在此处分别与先前首次从所述的分束器17折射到21的p态和s态偏振光发生干涉并在空间上彼此分离,形成干涉后的p态偏振光和s态偏振光,分别被所述的光电二极管A21和光电二极管B22接收,该电信号被光电信号处理电路模块24接收,得到了所述的微悬臂梁3的自由端位移信息。The p-state polarized light is irradiated onto the upper surface of the free end of the micro-cantilever beam 3 and reflected back as a measuring beam. The s-state polarized light is irradiated onto the fixed end of the micro-cantilever beam as a reference beam. The p-state and s-state polarized light reflected from the free end and the fixed end of the micro-cantilever beam 3 return along the original path, and after passing through the Wollaston prism A19 and the focusing lens 18, they are captured by the The beam splitter 17 is refracted to the Wollaston prism 20, where it interferes with the p-state and s-state polarized light refracted from the beam splitter 17 to 21 for the first time and spatially separated from each other to form the interfering p-state polarized light and s-state polarized light, which are respectively received by the photodiode A21 and photodiode B22, and the electrical signal is received by the photoelectric signal processing circuit module 24 to obtain the microcantilever Displacement information of the free end of beam 3.

所述的微悬臂梁3的自由端位移l与所述的光电二极管A21、光电二极管B22以及所述的光电信号处理模块24的结构关系是,所述光电二极管A21和光电二极管B22的输出电信号分别反映了p态偏振光的干涉信息和s态偏振光的干涉信息,而二者之间的相位差信号Φ则反映了所述的微悬臂梁3的自由端的位移变化。实际上,p态和s态干涉偏振光的相位差信号Φ由三部分决定,即所述的微悬臂梁3的自由端引入的相移θ、所述的索累-巴比涅补偿器15引入的相移Ψ以及由光路中其它光学元件引起的固定相移ζ。调整所述的索累-巴比涅补偿器15可以使其相移Ψ=-ζ。这样,所述的微悬臂梁3的自由端的位移值l就可以用p态和s态偏振光干涉信号之间的相移得到,该相移由所述的信号处理电路模块24完成,并通过装置控制器7传输给计算机和测控软件8。所述的微悬臂梁3的自由端受到所述的力加载杆5施加的力值由纳米天平读出质量值m,并通过所述的仪器控制器7传输给所述的计算机和测控软件8,在测控软件中,将该质量值m乘以当地的重力加速度g值,从而得到力值f。The structural relationship between the free end displacement 1 of the micro-cantilever beam 3 and the photodiode A21, photodiode B22 and the photoelectric signal processing module 24 is that the output electrical signal of the photodiode A21 and photodiode B22 respectively reflect the interference information of the p-state polarized light and the interference information of the s-state polarized light, and the phase difference signal Φ between the two reflects the displacement change of the free end of the micro-cantilever beam 3 . In fact, the phase difference signal Φ of the p-state and s-state interference polarized light is determined by three parts, that is, the phase shift θ introduced by the free end of the micro-cantilever 3, the Sorey-Babignet compensator 15 The introduced phase shift Ψ and the fixed phase shift ζ caused by other optical elements in the optical path. Adjusting the Sorey-Babignet compensator 15 can make its phase shift Ψ=-ζ. In this way, the displacement value l of the free end of the micro-cantilever beam 3 can be obtained by using the phase shift between the p-state and s-state polarized light interference signals, which is completed by the signal processing circuit module 24 and passed through Device controller 7 transmits to computer and measurement and control software 8. The free end of the microcantilever beam 3 is subjected to the force value applied by the force loading rod 5, and the mass value m is read out by the nanobalance, and is transmitted to the computer and measurement and control software 8 by the instrument controller 7 , in the measurement and control software, multiply the mass value m by the local gravitational acceleration g value to obtain the force value f.

为了便于确定p态和s态偏振光光束所述的微悬臂梁3上的光斑位置以及所述的力加载杆5在所述的微悬臂梁3上的加载点位置,设置了光学显微镜25。In order to facilitate the determination of the spot positions of the p-state and s-state polarized light beams on the micro-cantilever 3 and the position of the loading point of the force-loading rod 5 on the micro-cantilever 3 , an optical microscope 25 is provided.

做到高准确度测量必须遵循阿贝原则。阿贝原则要求测量元件的测量轴线与被测位移的轴线完全重合,否则两个轴线间存在的距离,该距离称为阿贝臂,会引起很大误差,该误差称为阿贝误差。阿贝臂越大,则测量中的阿贝误差越大。阿贝原则更是微位移测量中的必须遵守,一方面在微纳量级,相对而言阿贝臂会更大,导致阿贝误差就更大,而且,阿贝误差在微纳米测量中难以评估和补偿。如在前面所述的德国PTB和韩国KRISS的弹性常数计量仪中的阿贝臂都达到了10~20mm,相对于几个μm~几百μm的量程,这种较大的阿贝臂必然带来较大的阿贝误差。且他们并没有对仪器进行阿贝误差分析和不补偿,可见难度很大。Abbe's principle must be followed to achieve high-accuracy measurement. The Abbe principle requires that the measurement axis of the measuring element coincides completely with the axis of the measured displacement, otherwise the distance between the two axes, which is called the Abbe arm, will cause a large error, which is called the Abbe error. The larger the Abbe arm, the larger the Abbe error in the measurement. The Abbe principle must be followed in micro-displacement measurement. On the one hand, at the micro-nano level, the Abbe arm will be relatively larger, resulting in a larger Abbe error. Moreover, Abbe error is difficult in micro-nano measurement. Assessment and Compensation. As mentioned above, the Abbe arms in the elastic constant measuring instruments of PTB in Germany and KRISS in Korea have reached 10-20 mm. Compared with the range of several μm to hundreds of μm, this larger Abbe arm will inevitably bring to a large Abbe error. Moreover, they did not analyze the Abbe error and do not compensate the instrument, which shows that it is very difficult.

在本发明的微悬臂梁弹性常数标定装置中,测量元件即所述的反射差分干涉仪,对应的测量轴线是照射到所述的微悬臂梁3的自由端的p态偏振光光束,被测位移则是所述的力加载杆5的球冠顶点与所述微悬臂梁3的自由端的下表面的接触点,即力的加载点处的位移。这样,借助所述的光学显微镜25,调整所述的三维微纳位移平台4,可使得p态偏振光光束在所述的微悬臂梁3上形成的光斑与所述的力加载杆5的球冠中央顶点与所述微悬臂梁3的自由端的接触点在同一条竖直直线上,即阿贝臂为0;同时,在加载过程中,保证p态偏振光光束、所述微悬臂梁3的自由端力加载点的方向均为竖直方向,这样该装置就遵守了阿贝原则,可以保证标定的高准确度。In the micro-cantilever elastic constant calibration device of the present invention, the measuring element is the reflection differential interferometer, and the corresponding measurement axis is the p-state polarized light beam irradiated to the free end of the micro-cantilever 3, and the measured displacement It is the displacement at the contact point between the vertex of the spherical cap of the force loading rod 5 and the lower surface of the free end of the micro-cantilever beam 3 , that is, the force loading point. In this way, by means of the optical microscope 25, adjusting the three-dimensional micro-nano displacement platform 4 can make the light spot formed by the p-state polarized light beam on the micro-cantilever beam 3 coincide with the ball of the force-loaded rod 5. The contact point between the crown central vertex and the free end of the micro-cantilever 3 is on the same vertical line, that is, the Abbe arm is 0; at the same time, during the loading process, it is guaranteed that the p-state polarized light beam, the micro-cantilever 3 The directions of the loading points of the free end force are all in the vertical direction, so that the device complies with Abbe's principle, which can ensure the high accuracy of calibration.

所述的微悬臂梁弹性常数溯源标定装置的溯源方法步骤如下:The traceability method steps of the microcantilever beam elastic constant traceability calibration device are as follows:

1、装置加电与预热:打开微悬臂梁弹性常数溯源标定装置,给装置加电并预热,预热达到120分钟后,装置正常开始工作。1. Power on and preheat the device: Turn on the micro-cantilever beam elastic constant traceability calibration device, power on the device and preheat it. After the preheating reaches 120 minutes, the device starts to work normally.

2、重力加速度测量:用精密重力速度计测量仪器所在地的重力加速度g值。2. Measurement of gravitational acceleration: use a precision gravitational velocity meter to measure the g value of the gravitational acceleration at the location of the instrument.

3、装置水平调整:使用电子水平仪对装置进行水平调整,使得所述的大理石框架1以及固定在其上的纳米天平2为水平状态,同时,安装在所述的纳米天平2上力加载杆5、照射到所述的微悬臂梁3的自由端的p态和s态偏振光光束也均为竖直状态。3. Device level adjustment: use an electronic level to adjust the device level, so that the marble frame 1 and the nanobalance 2 fixed thereon are in a horizontal state, and at the same time, install the force loading rod 5 on the nanobalance 2 , the p-state and s-state polarized light beams irradiated to the free end of the micro-cantilever beam 3 are also in a vertical state.

4、力加载位置与测量光束的重合调整:借助所述的光学显微镜26,通过所述的x向单轴微纳位移器9和y向单轴微纳位移器10将所述的力加载杆5的球冠顶部中心在微悬臂梁自由端下表面上的力加载点与测量所述的微悬臂梁3的自由端上的p态光束在同一条竖直直线上。4. The coincidence adjustment of the force loading position and the measurement beam: with the help of the optical microscope 26, the force loading rod is placed through the x-direction uniaxial micro-nano displacement device 9 and the y-direction uniaxial micro-nano displacement device 10 The force loading point of the top center of the spherical cap of 5 on the lower surface of the free end of the micro-cantilever is on the same vertical line as the p-state light beam on the free end of the micro-cantilever 3 to be measured.

5、零位调整:借助所述的光学显微镜26,调整所述的z向单轴微纳位移器11,使微悬臂梁向下移动直到所述的力加载杆5的球冠顶部中心与所述微悬臂梁3的自由端下表面刚刚接触,即力加载杆对微悬臂梁自由端施加的力载荷正好为零,即所述的纳米天平2的通过所述的仪器控制器7输出给所述的计算机和测控软件中的质量值为0,而进一步向下移动微悬臂梁将立即使得所述的纳米天平2的输出质量值开始增加,则该位置为力载荷的测量零点;而此时,通过所述的偏振差分干涉仪6传输给所述的计算机和测控软件中的所述微悬臂梁3的自由端的位移值设置为0,即此位置也同时为位移零点。5. Zero position adjustment: with the help of the optical microscope 26, adjust the z-direction uniaxial micro-nano displacement device 11, so that the micro-cantilever moves down until the top center of the spherical cap of the force loading rod 5 is in line with the The lower surface of the free end of the micro-cantilever 3 is just in contact, that is, the force load exerted by the force loading rod on the free end of the micro-cantilever is just zero, that is, the output of the nanobalance 2 to the The quality value in the above-mentioned computer and measurement and control software is 0, and moving the micro-cantilever beam further downwards will immediately make the output quality value of the nanobalance 2 begin to increase, then this position is the measurement zero point of the force load; and at this time , the displacement value of the free end of the micro-cantilever beam 3 transmitted to the computer and measurement and control software by the polarization differential interferometer 6 is set to 0, that is, this position is also the displacement zero point at the same time.

6、所述微悬臂梁3的力-位移曲线的获取:6. Acquisition of the force-displacement curve of the micro-cantilever beam 3:

1)设置数组Aj(xi,yi)用于表示力-位移数据。其中,xi为位移值,yi为相对应的力值;j=1,2,…,m为实验次数,一般m可取5~8次之间,每一次实验获得一组力-位移数据,对应于一条力-位移曲线,采取多次实验并取其平均值是为了减小随机误差,提高标定准确度;i=0,1,2,…,n为单次加载实验中从位置0开始、以s为位移增量的递进加载次数,一般为1~20nm之间。当i=0时表示微悬臂梁自由端在零点处的位移值和力值,力值可以从纳米天平的输出值与重力加速度的乘积得到,显然有,x0=0,y0=0;当i=1时表示第一次进给量为s的加载,此时,x1=s,y1为相对应的力值;以此类推,当i=n时表示第n次进给量为s的加载,此时,xn=ns,yn等于相对应的力值。1) The array A j ( xi , y i ) is set to represent force-displacement data. Among them, x i is the displacement value, y i is the corresponding force value; j=1,2,...,m is the number of experiments, generally m can be taken between 5 and 8 times, and a set of force-displacement data is obtained for each experiment , corresponding to a force-displacement curve, taking multiple experiments and taking the average value is to reduce the random error and improve the calibration accuracy; Initially, the number of progressive loadings with s as the displacement increment is generally between 1 and 20 nm. When i=0, it represents the displacement value and force value of the free end of the micro-cantilever beam at the zero point. The force value can be obtained from the product of the output value of the nanobalance and the acceleration of gravity. Obviously, x 0 =0, y 0 =0; When i=1, it means the loading of the first feeding amount of s, at this time, x 1 =s, y 1 is the corresponding force value; and so on, when i=n, it means the nth feeding amount is the loading of s, at this time, x n = ns, and y n is equal to the corresponding force value.

2)零位调整:借助所述的光学显微镜26,调整所述的z向单轴微纳位移器11,使微悬臂梁向下移动直到所述的力加载杆5的球冠顶部中心与所述微悬臂梁3的自由端下表面刚刚接触,即力加载杆对微悬臂梁自由端施加的力载荷正好为零,即所述的纳米天平2的通过所述的仪器控制器7输出给所述的计算机和测控软件中的质量值为0,而进一步向下移动微悬臂梁将立即使得所述的纳米天平2的输出质量值开始增加,则该位置为力载荷的测量零点;而此时,通过所述的偏振差分干涉仪6传输给所述的计算机和测控软件中的所述微悬臂梁3的自由端的位移值设置为0,即此位置也同时为位移零点。2) Zero position adjustment: with the help of the optical microscope 26, adjust the z-direction uniaxial micro-nano displacement device 11, so that the micro-cantilever moves down until the top center of the spherical cap of the force loading rod 5 is in line with the The lower surface of the free end of the micro-cantilever 3 is just in contact, that is, the force load exerted by the force loading rod on the free end of the micro-cantilever is just zero, that is, the output of the nanobalance 2 to the The quality value in the above-mentioned computer and measurement and control software is 0, and moving the micro-cantilever beam further downwards will immediately make the output quality value of the nanobalance 2 begin to increase, then this position is the measurement zero point of the force load; and at this time , the displacement value of the free end of the micro-cantilever beam 3 transmitted to the computer and measurement and control software by the polarization differential interferometer 6 is set to 0, that is, this position is also the displacement zero point at the same time.

3)步进加载及力-位移曲线的获取:通过所述的z向单轴微纳位移器11,以一定的步进,如10nm将所述的微悬臂梁3向下移动,步进值将由所述的偏振干涉仪6测得并经过所述的仪器控制器7传输到所述的计算机和测控软件8上,并在计算机显示器上显示。同时,在所述的微悬臂梁3向下移动的过程中,微悬臂梁3的自由端将受到来自所述的力加载杆5的力载荷,所受力载荷的值可以由所述的纳米天平2输出的质量值与重力加速度g的乘积得到。所述纳米天平2的质量值也通过所述的仪器控制器7传输到所述的计算机和测控软件8上,并在计算机显示器上显示。将该位置的位移值和力值以数组A1(x1,y1)表示。重复该步进过程,可以获得A1(x2,y2)、A1(x3,y3)、…、A1(xi,yi)、…、A1(xn,yn)。则数组A1(xi,yi)(i=0-n)反映了从零点开始,所述的微悬臂梁3在加载过程中的不同位置处的力值与位移值关系。以数组Ai(xi,yi)中的xi(其中,i=0,1,2,…,n)为横坐标,以yi(其中,i=0,1,2,…,n)为纵坐标绘制出力-位移曲线,如图2所示的利用本发明的微悬臂梁弹性常数溯源装置的步进加载方式获得微悬臂梁的力‐位移数组Aj(xi,yi)及其最小二乘法拟合得到的直线。3) Acquisition of step loading and force-displacement curves: through the z-direction uniaxial micro-nano displacement device 11, move the micro-cantilever beam 3 downward with a certain step, such as 10 nm, step value The data measured by the polarization interferometer 6 are transmitted to the computer and measurement and control software 8 through the instrument controller 7, and displayed on the computer monitor. Simultaneously, in the process that described micro-cantilever beam 3 moves downward, the free end of micro-cantilever beam 3 will be subjected to the power load from described force loading bar 5, and the value of institute's force load can be determined by described nanometer The product of the mass value output by the balance 2 and the acceleration of gravity g is obtained. The mass value of the nanobalance 2 is also transmitted to the computer and measurement and control software 8 through the instrument controller 7, and displayed on the computer monitor. The displacement value and force value at this position are represented by an array A 1 (x 1 ,y 1 ). By repeating this stepping process, A 1 (x 2 ,y 2 ), A 1 (x 3 ,y 3 ),…, A 1 ( xi ,y i ),…, A 1 (x n ,y n ). Then the array A 1 (xi , y i ) (i=0-n) reflects the relationship between the force value and the displacement value at different positions of the micro-cantilever beam 3 during the loading process starting from the zero point. Take x i (where i=0,1,2,…,n) in the array A i (xi ,y i ) as the abscissa, and take y i (where i=0,1,2,… , n) Draw the force-displacement curve for the ordinate, as shown in Figure 2, the force-displacement array A j (x i , y i ) and the straight line obtained by least squares fitting.

7、弹性常数溯源值的计算:用最小二乘法将Aj(xi,yi)分别拟合为直线y=Kjx,则j次实验得到的所述的微悬臂梁的弹性常数溯源值k为Kj的算术平均值,即:7. Calculation of the traceable value of the elastic constant: A j (x i , y i ) are respectively fitted to a straight line y=K j x by the least square method, then the traceable elastic constant of the micro-cantilever beam obtained by j experiments The value k is the arithmetic mean of Kj , that is:

kk == ΣΣ jj == 11 mm KK jj mm ..

本发明的微悬臂梁弹性常数溯源装置的微悬臂梁3的运动由微纳位移台驱动,在力加载过程中,微悬臂梁3自由端所受的力载荷由纳米天平测得的质量值与重力加速度值的乘积而得,而位移量由反射差分干涉仪测得。在该装置中,在微悬臂梁自由端的上表面形成的微光斑与纳米天平上的力加载杆对微悬臂梁自由端的下表面加载时的力加载点完全重合并与重力方向一致,使得阿贝臂为零,遵守了位移测量的阿贝原则,避免了阿贝误差的产生,保证了溯源仪器的测量准确度。The motion of the micro-cantilever beam 3 of the micro-cantilever beam elastic constant traceability device of the present invention is driven by the micro-nano displacement platform, and in the process of force loading, the force load on the free end of the micro-cantilever beam 3 is measured by the quality value of the nanobalance and The product of the acceleration of gravity is obtained, and the displacement is measured by the reflection differential interferometer. In this device, the micro-spot formed on the upper surface of the free end of the micro-cantilever completely coincides with the force loading point when the force-loading rod on the nanobalance loads the lower surface of the free end of the micro-cantilever and is consistent with the direction of gravity, so that Abbe The arm is zero, which complies with the Abbe principle of displacement measurement, avoids the Abbe error, and ensures the measurement accuracy of the traceable instrument.

Claims (6)

1.一种微悬臂梁弹性常数的溯源标定装置,其特征是:所述溯源标定装置的结构包括有大理石框架(1)、纳米天平(2)、微悬臂梁(3)、三维微纳位移台(4)、力加载杆(5)、偏振差分干涉仪(6)、仪器控制器(7)、计算机与测控软件(8);1. A traceable calibration device for the elastic constant of a micro-cantilever beam, characterized in that: the structure of the traceable calibration device includes a marble frame (1), a nanobalance (2), a micro-cantilever beam (3), a three-dimensional micro-nano displacement Platform (4), force loading rod (5), polarization differential interferometer (6), instrument controller (7), computer and measurement and control software (8); 所述的大理石框架(1)上固定有纳米天平(2)、三维微纳位移台(4)和反射差分干涉仪(6)的光路箱体(23),所述的纳米天平(2)的顶部固定有力加载杆(5),微悬臂梁(3)固定在纳米天平(2)上,在大理石框架(1)的一侧设有计算机与测控软件(8),仪器控制器(7)与计算机与测控软件(8)相连接。The marble frame (1) is fixed with a nanobalance (2), a three-dimensional micro-nano displacement stage (4) and an optical path box (23) of a reflection differential interferometer (6), and the nanobalance (2) The top is fixed with a powerful loading rod (5), the microcantilever beam (3) is fixed on the nanobalance (2), and a computer and measurement and control software (8) are installed on one side of the marble frame (1), and the instrument controller (7) and The computer is connected with the measurement and control software (8). 2.根据权利要求1所述的微悬臂梁弹性常数的溯源标定装置,其特征是:所述力加载杆(5)的主体为圆柱形,直径为2~3mm之间,顶部为半球冠形状,球冠的半径在10~50μm,球冠的顶部中心是对微悬臂梁(3)自由端施加载荷的加载点。2. The traceable calibration device for the elastic constant of the micro-cantilever beam according to claim 1, characterized in that: the main body of the force loading rod (5) is cylindrical, with a diameter between 2 and 3 mm, and the top is in the shape of a hemispherical crown , the radius of the spherical cap is 10-50 μm, and the top center of the spherical cap is a loading point for applying load to the free end of the micro-cantilever beam (3). 3.根据权利要求1所述的微悬臂梁弹性常数的溯源标定装置,其特征是:所述三维微纳位移台(4)包括有x向单轴微纳位移器(9)、y向单轴微纳位移器(10)和z向单轴微纳位移器(11),所述z向单轴微纳位移器(11)固定在所述的y向微纳位移器(10)上,而所述y向微纳位移器10又固定在x向微纳位移器上(9)上,所述x向单轴微纳位移器(9)、y向单轴微纳位移器(10)和z向单轴微纳位移器(11)彼此正交,所述z向单轴微纳位移器(11)的底部固定有弹性卡箍(12),微悬臂梁(3)通过所述的弹性卡箍(12)固定在z向单轴微纳位移器(11)上。3. The traceable calibration device for the elastic constant of the micro-cantilever beam according to claim 1, characterized in that: the three-dimensional micro-nano displacement stage (4) includes an x-direction single-axis micro-nano displacement device (9), a y-direction single-axis Axis micro-nano displacement (10) and z-direction uniaxial micro-nano displacement (11), the z-direction uniaxial micro-nano displacement (11) is fixed on the y-direction micro-nano displacement (10), The y-direction micro-nano displacement device 10 is fixed on the x-direction micro-nano displacement device (9), the x-direction uniaxial micro-nano displacement device (9), the y-direction uniaxial micro-nano displacement device (10) and the z-direction uniaxial micro-nano displacement device (11) are orthogonal to each other, the bottom of the z-direction uniaxial micro-nano displacement device (11) is fixed with an elastic clamp (12), and the micro-cantilever beam (3) passes through the The elastic clamp (12) is fixed on the z-direction uniaxial micro-nano displacement device (11). 4.根据权利要求1所述的微悬臂梁弹性常数的溯源标定装置,其特征是:所述偏振差分干涉仪(6)包括有依次固定在光路箱体(23)内的He-Ne偏振激光器(13)、法拉第光隔离器(14)、索累-巴比涅补偿器(15)、扩束器(16)、分束器(17)、聚焦透镜(18)、汤普森格兰棱镜(19)、沃拉斯顿棱镜(20)、光电二极管(21)、光电二极管(22)以及光电信号处理模块(24),所述光路箱体(23)内部涂为减少杂散光干扰的黑色。4. The traceable calibration device for the elastic constant of the micro-cantilever beam according to claim 1, characterized in that: the polarization differential interferometer (6) includes He-Ne polarized lasers sequentially fixed in the optical path box (23) (13), Faraday optical isolator (14), Sorey-Barbinet compensator (15), beam expander (16), beam splitter (17), focusing lens (18), Thompson Glan prism (19 ), a Wollaston prism (20), a photodiode (21), a photodiode (22) and a photoelectric signal processing module (24), and the interior of the optical path box (23) is painted black to reduce stray light interference. 5.根据权利要求1所述的微悬臂梁弹性常数的溯源标定装置,其特征是:在所述的微悬臂梁(3)及力加载杆(5)的一侧设置有光学显微镜(25)。5. The traceable calibration device for the elastic constant of the micro-cantilever beam according to claim 1, characterized in that: an optical microscope (25) is arranged on one side of the micro-cantilever beam (3) and the force loading rod (5) . 6.根据权利要求1所述的微悬臂梁弹性常数的溯源标定装置的溯源方法,该方法包括以下步骤:6. the traceability method of the traceability calibration device of micro-cantilever elastic constant according to claim 1, the method may further comprise the steps: (1)装置加电与预热:打开所述微悬臂梁弹性常数溯源标定装置,给所述装置加电并预热,预热达到120分钟后,装置正常开始工作;(1) Power on and preheat the device: turn on the traceable calibration device for the elastic constant of the micro-cantilever beam, power on the device and preheat it, and after the preheating reaches 120 minutes, the device starts to work normally; (2)重力加速度测量:用精密重力速度计测量所述装置所在地的重力加速度g值;(2) Measurement of gravitational acceleration: use a precision gravitational velocity meter to measure the g value of the gravitational acceleration at the location of the device; (3)装置水平调整:使用电子水平仪对所述装置进行水平调整,使得所述的大理石框架(1)、纳米天平(2)为水平状态,力加载杆(5)、照射到所述的微悬臂梁(3)的自由端的p态和s态偏振光光束也均为竖直状态;(3) Level adjustment of the device: Use an electronic level to adjust the level of the device so that the marble frame (1) and the nanobalance (2) are in a horizontal state, and the force loading rod (5) irradiates the micro balance The p-state and s-state polarized light beams at the free end of the cantilever beam (3) are also vertical; (4)力加载位置与测量光束的重合调整:借助所述的光学显微镜(26),通过所述的x向单轴微纳位移器(9)和y向单轴微纳位移器(10),将所述的力加载杆(5)的球冠顶部中心在微悬臂梁(3)自由端下表面上的力加载点与测量所述的微悬臂梁(3)的自由端上的p态偏振光在微悬臂梁(3)的上表面形成的光斑在一条竖直直线上;(4) The coincidence adjustment of the force loading position and the measurement beam: with the help of the optical microscope (26), through the x-direction uniaxial micro-nano displacement device (9) and the y-direction uniaxial micro-nano displacement device (10) , measuring the p-state on the free end of the micro-cantilever beam (3) with the force-loading point at the top center of the spherical cap of the force-loading rod (5) on the lower surface of the free end of the micro-cantilever beam (3) The light spot formed by the polarized light on the upper surface of the micro-cantilever beam (3) is on a vertical straight line; (5)所述微悬臂梁(3)的力-位移曲线的获取:(5) Acquisition of the force-displacement curve of the microcantilever (3): 1)设置数组Aj(xi,yi)用于表示力-位移数据,其中,xi为位移值,yi为相对应的力值;j=1,2,…,m为实验次数,m取5~8次之间,每一次实验获得一组力-位移数据,对应于一条力-位移曲线,采取多次实验并取其平均值;i=0,1,…,n为单次加载实验中从位置0开始、以s为位移增量的递进加载次数,一般为1~20nm之间,当i=0时表示微悬臂梁自由端在零点处的位移值和力值,力值可以从纳米天平(2)的输出值与重力加速度的乘积得到x0=0,y0=0;当i=1时表示第一次进给量为s的加载,此时,x1=s,y1为相对应的力值;以此类推,当i=n时表示第n次进给量为s的加载,此时,xn=ns,yn等于相对应的力值;1) Set the array A j (x i , y i ) to represent the force-displacement data, where x i is the displacement value, y i is the corresponding force value; j=1,2,...,m is the number of experiments , m is between 5 and 8 times, and each experiment obtains a set of force-displacement data, corresponding to a force-displacement curve, taking multiple experiments and taking the average value; i=0,1,...,n is a single In the loading experiment, the number of progressive loadings starting from position 0 and taking s as the displacement increment is generally between 1 and 20 nm. When i=0, it represents the displacement and force value of the free end of the micro-cantilever beam at the zero point. The force value can be obtained from the product of the output value of the nanobalance (2) and the acceleration of gravity x 0 =0, y 0 =0; when i=1, it means that the first feed is s loading, at this time, x 1 =s, y 1 is the corresponding force value; and so on, when i=n, it means the loading of the nth feed rate is s, at this time, x n =ns, y n is equal to the corresponding force value; 2)零位调整:借助所述的光学显微镜(26),调整所述的z向单轴微纳位移器(11),使微悬臂梁向下移动直到所述的力加载杆(5)的球冠顶部中心与所述微悬臂梁(3)的自由端下表面接触,即力加载杆对微悬臂梁自由端施加的力载荷正好为零,即所述的纳米天平(2)的通过所述的仪器控制器7输出给所述的计算机和测控软件中的质量值为0,而进一步向下移动微悬臂梁将立即使得所述的纳米天平(2)的输出质量值开始增加,则该位置为力载荷的测量零点;2) Zero position adjustment: with the help of the optical microscope (26), adjust the z-direction uniaxial micro-nano displacement (11), so that the micro-cantilever moves down until the force loading rod (5) The top center of the spherical cap is in contact with the lower surface of the free end of the micro-cantilever beam (3), that is, the force load applied by the force loading rod to the free end of the micro-cantilever beam is exactly zero, that is, the nanobalance (2) passes through the The mass value output by the instrument controller 7 to the computer and measurement and control software is 0, and further downward movement of the microcantilever will immediately cause the output mass value of the nanobalance (2) to begin to increase, then the The position is the measurement zero point of the force load; 3)步进加载及力-位移曲线的获取:通过所述的z向单轴微纳位移器(11),以一定的步进,如10nm将所述的微悬臂梁(3)向下移动,步进值将由所述的偏振干涉仪(6)测得,并经过所述的仪器控制器(7)传输到所述的计算机和测控软件(8)上并在计算机显示器上显示,在所述的微悬臂梁(3)向下移动的过程中,微悬臂梁(3)的自由端将受到来自所述的力加载杆(5)的力载荷,所受力载荷的值由所述的纳米天平(2)输出的质量值与重力加速度g的乘积得到,所述纳米天平(2)的质量值也通过所述的仪器控制器(7)传输到所述的计算机和测控软件(8)上并在计算机显示器上显示,将该位置的位移值和力值以数组A1(x1,y1)表示,重复该步进过程,获得A1(x2,y2)、A1(x3,y3)、…、A1(xi,yi)、…、A1(xn,yn),则数组A1(xi,yi)(i=0,1,2,…,n)以数组Ai(xi,yi)中的xi(i=0,1,2,…,n)为横坐标,以yi(i=0,1,2,…,n)为纵坐标绘制出力-位移曲线;3) Acquisition of step loading and force-displacement curve: through the z-direction uniaxial micro-nano displacement device (11), move the micro-cantilever beam (3) downward with a certain step, such as 10nm , the step value will be measured by the polarization interferometer (6), and transmitted to the computer and measurement and control software (8) through the instrument controller (7) and displayed on the computer monitor. During the downward movement of the micro-cantilever beam (3), the free end of the micro-cantilever beam (3) will be subjected to the force load from the force loading rod (5), and the value of the force load is determined by the The product of the mass value output by the nanobalance (2) and the acceleration of gravity g is obtained, and the mass value of the nanobalance (2) is also transmitted to the computer and measurement and control software (8) through the instrument controller (7) and display it on the computer monitor, express the displacement value and force value of the position as an array A 1 (x 1 ,y 1 ), repeat the stepping process, and obtain A 1 (x 2 ,y 2 ), A 1 ( x 3 ,y 3 ),…,A 1 (xi , y i ),…,A 1 (x n ,y n ), then the array A 1 ( xi ,y i ) (i=0,1,2 ,…,n) with x i ( i =0,1,2,…,n) in the array A i (xi ,y i ) as the abscissa, and y i (i=0,1,2,… ,n) Draw the force-displacement curve for the ordinate; (6)弹性常数溯源值的计算:用最小二乘法将Aj(xi,yi)分别拟合为直线y=Kjx,则j次实验得到的所述的微悬臂梁(3)的弹性常数溯源值k为Kj的算术平均值,即:(6) Calculation of the traceable value of the elastic constant: use the least square method to fit A j ( xi , y i ) to a straight line y=K j x respectively, then the microcantilever (3) obtained by j experiments The traceable value k of the elastic constant is the arithmetic mean value of K j , namely: kk == ΣΣ jj == 11 mm KK jj mm ..
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Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104266792A (en) * 2014-09-24 2015-01-07 中国计量科学研究院 Micro-nano force value standardizing device based on electromagnetic compensation balance and tracing method thereof
CN104793019A (en) * 2014-01-18 2015-07-22 天津大学 Traceability method of calibrating elastic constant of micro cantilever on atomic force microscope
CN107543638A (en) * 2016-06-28 2018-01-05 深圳长城开发科技股份有限公司 Stannum plaster scribing knife pressure test device and its detection method based on foil gauge
CN108489652A (en) * 2018-04-11 2018-09-04 中铁第四勘察设计院集团有限公司 The determination method and device of third rail and the contact forces of pantagraph current collector
CN108801517A (en) * 2018-06-06 2018-11-13 湘潭大学 A kind of efficiently accurate caliberating device of Photoelastic coating material fringe values
CN109839518A (en) * 2019-02-25 2019-06-04 天津大学 A kind of atomic force microscope micro-cantilever coefficient of elasticity caliberating device
CN110470416A (en) * 2019-07-19 2019-11-19 宁波大学 A kind of micromass culture force measuring system and its measurement method for microminiature sub-aqua sport device
CN110806285A (en) * 2019-10-22 2020-02-18 天津大学 A traceable pN magnitude force value calibration device and method
CN111413015A (en) * 2020-04-07 2020-07-14 中国科学院合肥物质科学研究院 Force measuring device
CN114623991A (en) * 2022-03-08 2022-06-14 天津大学 Micro-cantilever calibration device and method based on shadow method

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1699960A (en) * 2005-05-25 2005-11-23 中国科学院上海微系统与信息技术研究所 An improved test method for elastic coefficient of micro-cantilever
CN1975322A (en) * 2006-12-04 2007-06-06 天津大学 Micro-geometric sense measuring device based on nano-measuring machine and micro-tactometering head
CN101339816A (en) * 2008-08-08 2009-01-07 中国科学院上海微系统与信息技术研究所 Two-dimensional micro-motion platform and micro-mechanical parameter testing method for atomic force microscope
CN101561334A (en) * 2009-05-15 2009-10-21 天津大学 Method for calibrating three-dimensional micro-touch force sensor
GB2482801A (en) * 2009-07-27 2012-02-15 Frank Michael Ohnesorge In-situ calibrated atomic force microscope for use in characterization and classification methods for biological and organic objects

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1699960A (en) * 2005-05-25 2005-11-23 中国科学院上海微系统与信息技术研究所 An improved test method for elastic coefficient of micro-cantilever
CN1975322A (en) * 2006-12-04 2007-06-06 天津大学 Micro-geometric sense measuring device based on nano-measuring machine and micro-tactometering head
CN101339816A (en) * 2008-08-08 2009-01-07 中国科学院上海微系统与信息技术研究所 Two-dimensional micro-motion platform and micro-mechanical parameter testing method for atomic force microscope
CN101561334A (en) * 2009-05-15 2009-10-21 天津大学 Method for calibrating three-dimensional micro-touch force sensor
GB2482801A (en) * 2009-07-27 2012-02-15 Frank Michael Ohnesorge In-situ calibrated atomic force microscope for use in characterization and classification methods for biological and organic objects

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
吴森等: "基于弯曲法的AFM微悬臂梁弹性常数标定技术", 《仪器仪表学报》, vol. 33, no. 11, 30 November 2012 (2012-11-30), pages 2446 - 2453 *
鲍海飞等: "微悬臂梁法向弹性系数的标定方法与分析", 《测试技术学报》, vol. 20, no. 1, 28 February 2006 (2006-02-28), pages 21 - 26 *

Cited By (14)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
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CN104266792A (en) * 2014-09-24 2015-01-07 中国计量科学研究院 Micro-nano force value standardizing device based on electromagnetic compensation balance and tracing method thereof
CN107543638B (en) * 2016-06-28 2023-10-13 深圳长城开发科技股份有限公司 Solder paste scraper pressure testing device based on strain gauge and detection method thereof
CN107543638A (en) * 2016-06-28 2018-01-05 深圳长城开发科技股份有限公司 Stannum plaster scribing knife pressure test device and its detection method based on foil gauge
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CN108801517A (en) * 2018-06-06 2018-11-13 湘潭大学 A kind of efficiently accurate caliberating device of Photoelastic coating material fringe values
CN109839518A (en) * 2019-02-25 2019-06-04 天津大学 A kind of atomic force microscope micro-cantilever coefficient of elasticity caliberating device
CN110470416A (en) * 2019-07-19 2019-11-19 宁波大学 A kind of micromass culture force measuring system and its measurement method for microminiature sub-aqua sport device
CN110806285B (en) * 2019-10-22 2021-04-02 天津大学 Traceable pN magnitude force value calibration device and method
CN110806285A (en) * 2019-10-22 2020-02-18 天津大学 A traceable pN magnitude force value calibration device and method
CN111413015A (en) * 2020-04-07 2020-07-14 中国科学院合肥物质科学研究院 Force measuring device
CN111413015B (en) * 2020-04-07 2021-10-08 中国科学院合肥物质科学研究院 force measuring device
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