scholarly journals A New Computational Model of Step Gauge Calibration Based on the Synthesis Technology of Multi-Path Laser Interferometers

2020 ◽  
Vol 10 (6) ◽  
pp. 2089 ◽  
Author(s):  
Guoying Ren ◽  
Xinghua Qu ◽  
Xiangjun Chen
Keyword(s):  
Computational Model ◽  
Measurement Accuracy ◽  
Developed Countries ◽  
Measurement Capability ◽  
Length Standard ◽  
Good Measurement ◽  
Calibration Accuracy ◽  
Abbe Error ◽  
The Mathematical Model ◽  
Laser Interferometers

A step gauge is a commonly used length standard for international comparison, and its calibration accuracy is often used as a sign to measure a country’s length Calibration and Measurement Capability (CMC). Based on this, some developed countries and developing countries all over the world have been carrying out the research of precision calibration technology for step gauge. On the basis of summarizing the current situation of step gauge calibration technology in other countries, this paper presents a new computational model of step gauge calibration based on the Synthesis Technology of Multi-Path Laser Interferometers (SMLI) and an auto-collimator, which can synthesize the three laser light paths into the measured centerline of step gauge. It is very important to obtain a good measurement accuracy for the step gauge, conformed to the Abbe principle, no matter where it is installed on the CMM measurement platform. In this paper, the development of the mathematical model, the data collection algorithms, data analysis techniques, and measurement uncertainty budgets are discussed. Finally, the experimental measurement is carried out and the measurement accuracy is verified to be effective. The results show that this method can effectively avoid the influence of Abbe error in length measurement, and significantly enhance the calibration accuracy of the step gauge.

scholarly journals High-Accuracy Calibration Based on Linearity Adjustment for Eddy Current Displacement Sensor

Sensors ◽  
2018 ◽  
Vol 18 (9) ◽  
pp. 2842 ◽  
Author(s):  
Wei Liu ◽  
Bing Liang ◽  
Zhenyuan Jia ◽  
Di Feng ◽  
Xintong Jiang ◽  
...  
Keyword(s):  
Eddy Current ◽  
Measurement Accuracy ◽  
Characteristic Curve ◽  
Calibration Method ◽  
High Accuracy ◽  
Output Characteristic ◽  
Displacement Sensor ◽  
Support Vector ◽  
Displacement Sensors ◽  
Calibration Accuracy

High precision position control is essential in the process of parts manufacturing and assembling, where eddy current displacement sensors (ECDSs) are widely used owing to the advantages of non-contact sensing, compact volume, and resistance to harsh conditions. To solve the nonlinear characteristics of the sensors, a high-accuracy calibration method based on linearity adjustment is proposed for ECDSs in this paper, which markedly improves the calibration accuracy and then the measurement accuracy. After matching the displacement value and the output voltage of the sensors, firstly, the sensitivity is adjusted according to the specified output range. Then, the weighted support vector adjustment models with the optimal weight of the zero-scale, mid-scale and full-scale are established respectively to cyclically adjust the linearity of the output characteristic curve. Finally, the final linearity adjustment model is obtained, and both the calibration accuracy and precision are verified by the established calibration system. Experimental results show that the linearity of the output characteristic curve of ECDS adjusted by the calibration method reaches over 99.9%, increasing by 1.9–5.0% more than the one of the original. In addition, the measurement accuracy improves from 11–25 μ m to 1–10 μ m in the range of 6mm, which provides a reliable guarantee for high accuracy displacement measurement.

scholarly journals Soft monetary policy in a sustainable economy as a rigid game

2021 ◽  
Vol 250 ◽  
pp. 06005
Author(s):  
Inna Čábelková
Keyword(s):  
Financial Markets ◽  
Developed Countries ◽  
Real Sector ◽  
The Real ◽  
Model Studies ◽  
Money Multiplier ◽  
The Past ◽  
Sustainable Economy ◽  
High Inflation ◽  
The Mathematical Model

Over the past decade, central banks in a majority of developed countries injected astonishing amounts of money into national and international economies in the hope of helping real sectors and with worries of high inflation. Neither of these came true. This paper describes the reasons for such unusual dynamics using a case of the sustainable economy. The three factors considered include the increased propensity to save, the decreased money multiplier, and substantial growth in the financial markets. The mathematical model studies the effect of the new money created on the real sector via the effect on real consumption depending on the share of the new money received by the less and more affluent part of the population. The results suggest, that the higher is the proportion of new money allocated to the poorer part of the society, the higher is the effect of overall money on the real sector if the propensity to consume in this part of the population is held constant.

scholarly journals An Improved Capacitive Sensor for Detecting the Micro-Clearance of Spherical Joints

Sensors ◽  
2019 ◽  
Vol 19 (12) ◽  
pp. 2694 ◽  
Author(s):  
Wen Wang ◽  
Wenjun Qiu ◽  
He Yang ◽  
Haimei Wu ◽  
Guang Shi ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Real Time ◽  
Measurement Accuracy ◽  
Detection Method ◽  
Capacitive Sensor ◽  
Parallel Manipulators ◽  
Differential Capacitance ◽  
Industrial Robots ◽  
The Mathematical Model ◽  
Fringe Effect

Due to the flexible and compact structures, spherical joints are widely used in parallel manipulators and industrial robots. Real-time detection of the clearance between the ball and the socket in spherical joints is beneficial to compensate motion errors of mechanical systems and improve their transmission accuracy. This work proposes an improved capacitive sensor for detecting the micro-clearance of spherical joints. First, the structure of the capacitive sensor is proposed. Then, the mathematical model for the differential capacitance of the sensor and the eccentric micro-displacement of the ball is deduced. Finally, the capacitance values of the capacitive sensor are simulated with Ansoft Maxwell. The simulated values of the differential capacitances at different eccentric displacements agree well with the theoretical ones, indicating the feasibility of the proposed detection method. In addition, the simulated results show that the proposed capacitive sensor could effectively reduce the capacitive fringe effect, improving the measurement accuracy.

Thermal Computational Model to Analyze PV Modules: Preliminary Results

2010 ◽  
Author(s):  
Rolando Soler-Bientz ◽  
Fernando Go´mez-Castro ◽  
Lifter Ricalde-Cab
Keyword(s):  
Computational Model ◽  
Meteorological Data ◽  
Thermal Conditions ◽  
Uniform Illumination ◽  
Preliminary Results ◽  
Pv Module ◽  
Finite Difference Formulation ◽  
Thermal Patterns ◽  
Reflecting Surface ◽  
The Mathematical Model

A computational model of a PV module was implemented to describe its thermal behaviour considering the geographical conditions of the Yucatan Peninsula, Mexico. In order to analyze the effects of non uniform illumination on the thermal profiles of a PV module, a reflecting surface was added adjacent to a PV module edge. A finite difference formulation was used to represents the thermal patterns of each PV describing the thermal conditions of each particular solar cell within the PV module. The mathematical model and the preliminary results obtained for two time instants are presented using real meteorological data to reflect the effect of the wind patterns.

Development of Double Equipotential Ring Capacitance Sensor in Ultra-Precise Optical Measurement

2007 ◽  
Author(s):  
Jianhuan Zhang ◽  
Xuemin Gao ◽  
Xiaodong Yang
Keyword(s):  
Edge Effect ◽  
Optical System ◽  
Machine Tools ◽  
Measurement Accuracy ◽  
Optical Measurement ◽  
Optical Methods ◽  
Narrow Gap ◽  
Capacitance Sensor ◽  
Abbe Error ◽  
The Cost

Measurements based on all sorts of optical methods in mechanical engineering area had been extensively studied, and in these measurements, many sensors, such as capacitance, are often applied to detect the focusing displacement of objective. For improving the edge effect of the plate capacitance, an equipotential ring is applied. Following the Abbe rule, a plate capacitance sensor with double equipotential rings and a central hole is introduced. The axis of the optical system perforates through the hole of the sensor, thus no Abbe error occurs. If the capacitance sensor is manufactured with machine tools, the gap between the equipotential ring and the orbicular electrode can not be narrow enough, meanwhile, the assembly becomes difficulty. In order to get narrow gap as well as thin electrodes, PCB process is tried to make the capacitance electrodes, but the gap between the equipotential ring and the electrode can only be about 0.1mm. When MEMS technique is introduced, the gap can be about 2μm. Although the cost is by far the higher than that made with PCB, the linear error as well as the measurement accuracy can be promoted greatly. After the circuit is designed, test of the capacitance sensor made with MEMS is completed, and the result that linear error is less than 0.05% and the sensitivity is 1mV/nm is presented with displacement of 30μm.

scholarly journals Automated continuous verification for numerical simulation

2011 ◽  
Vol 4 (2) ◽  
pp. 435-449 ◽  
Author(s):  
P. E. Farrell ◽  
M. D. Piggott ◽  
G. J. Gorman ◽  
D. A. Ham ◽  
C. R. Wilson ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Computational Model ◽  
Discrete Event ◽  
Software Implementation ◽  
Test Cases ◽  
Continuous Development ◽  
Wide Applicability ◽  
Model Code ◽  
The Mathematical Model

Abstract. Verification is a process crucially important for the final users of a computational model: code is useless if its results cannot be relied upon. Typically, verification is seen as a discrete event, performed once and for all after development is complete. However, this does not reflect the reality that many geoscientific codes undergo continuous development of the mathematical model, discretisation and software implementation. Therefore, we advocate that in such cases verification must be continuous and happen in parallel with development: the desirability of their automation follows immediately. This paper discusses a framework for automated continuous verification of wide applicability to any kind of numerical simulation. It also documents a range of test cases to show the possibilities of the framework.

The Principle and Calibration of the Third Gear Flow-Meter

2013 ◽  
Vol 397-400 ◽  
pp. 1713-1717
Author(s):  
Jun Zhang ◽  
Meng Meng Niu ◽  
Hong Mei Tang ◽  
Xian Hua Li ◽  
Cun Ren Tang
Keyword(s):  
Measurement Accuracy ◽  
Structural Characteristics ◽  
Developed Countries ◽  
Flow Meter ◽  
Typical Structure ◽  
The Third ◽  
System Pressure ◽  
Working Principle ◽  
The Developed Countries ◽  
The Stability

At present, the domestic development of the gear flow-meter is far behind the developed countries, especially in the micro gear flow-meter. This paper proposes a typical structure named the third gear flow-meter. The structural characteristics and working principle of the third gear flow-meter was introduced in detail, the prototype of the third gear flow-meter was designed and processed, and the calibration tests and pressure experiments of the third gear flow-meter prototype was made at last. We can draw that the three gear flow-meter can be used in hydraulic system pressure range is less than 25Mpa, the flow rate was 0.15~0.2m3/h can meet the high requirements of the stability of measurement, and the measurement accuracy in the whole flow range is 0.2 class. This article provides a reliable experimental data for the design of the micro gear flow-meter.

Research on Linear Array TDI-CCD System with Noise Suppression

2013 ◽  
Vol 274 ◽  
pp. 266-269
Author(s):  
Ke Ming Li ◽  
Chao Zhang
Keyword(s):  
Measurement Errors ◽  
Measurement Accuracy ◽  
Noise Suppression ◽  
Linear Array ◽  
Signal To Noise Ratio ◽  
Software Implementation ◽  
Image Measurement ◽  
Correlated Double Sampling ◽  
The Mathematical Model ◽  
Processing Circuit

Noises in the imaging process will result in image measurement errors, so whether these noises can be effectively suppressed is the key to improve the measurement accuracy. This paper analyzes the noise components of TDI-CCD system from three perspectives, builds the mathematical model of typical noises, designs correlated double sampling noise processing circuit for TDI-CCD system, realizes the software implementation of hardware design and achieves the purpose to improve the signal-to-noise ratio and image quality

Measurement of the Sound Field Radiated from Submerged Structure by Continuous Scanning

2013 ◽  
Vol 811 ◽  
pp. 337-340
Author(s):  
Chao Zhang ◽  
De Jiang Shang ◽  
Qi Li
Keyword(s):  
Measurement Method ◽  
Measurement Accuracy ◽  
Sound Field ◽  
Power Measurement ◽  
Discrete Point ◽  
Point Measurement ◽  
Continuous Scanning ◽  
Good Measurement ◽  
Measurement Experiment ◽  
Field Information

Distinguished from the conventional discrete-point measurement, a continuous scanning measurement method of the sound field radiated from submerged structure is proposed. By rotating the structure uniformly and continuously, the pressure signals were recorded by the hydrophones array that was located in the far field. The signals were analyzed by Fourier transform respectively, and the sound field information could be obtained by the further derivation. By using the continuous scanning measurement, the spectrum broadening phenomenon was observed and analyzed. And then the point sound source field simulation and the sound power measurement experiment were carried out to prove the reliability of this method. The results show that, compared with the conventional discrete-point measurement, the continuous scanning measurement can acquire more information in less measurement time, and reduce the measurement work greatly under good measurement accuracy.

Mathematical Model and Error Analysis of Coordinate Measuring Arm with Revo Revolving Body

2011 ◽  
Vol 52-54 ◽  
pp. 156-161 ◽  
Author(s):  
Lei Zhao ◽  
Shu Gui Liu
Keyword(s):  
Mathematical Model ◽  
Measurement Accuracy ◽  
System Model ◽  
Error Sources ◽  
Spherical Domain ◽  
New Type ◽  
Space Coordinate ◽  
Improving Accuracy ◽  
Revolving Body ◽  
The Mathematical Model

A new type of coordinate measuring arm with a Revo revolving body which can realize quick measuring in spherical domain has high stability, fast measuring speed and high accuracy compared with common coordinate measuring arm. We use the method of space coordinate transformation to solve the problem that the transformation matrix can’t be got from Revo body to test head by DH method, and apply DH theory to build the mathematical model of system. The system model is verified right by sketching. The error model is built and the effect of measurement accuracy from all error sources is deeply analyzed. It presents a theory foundation for further researching on improving accuracy of this new type of coordinate measuring arm.

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