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Monte Carlo Simulation of Flash Memory Elements’ Electrophysical Parameters 闪存元件电物理参数的蒙特卡罗模拟
IF 0.4 Q4 INSTRUMENTS & INSTRUMENTATION Pub Date : 2022-12-22 DOI: 10.21122/2220-9506-2022-13-4-276-280
O. Zhevnyak, V. Borzdov, A. Borzdov, A. N. Petlitsky
Operation of modern flash memory elements is based on electron transport processes in the channel of silicon MOSFETs with floating gate. The aim of this work was calculation of electron mobility and study of the influence of phonon and ionized impurity scattering mechanisms on the mobility, as well as calculation of parasitic tunneling current and channel current in the conductive channel of flash memory element. Numerical simulation during the design stage of flash memory element allows working out guidelines for optimization of device parameters defining its performance and reliability.In the work such electrophysical parameters, characterizing electron transport, as mobility and average electron energy, as well as tunneling current and current in the channel of the flash memory element are studied via the numerical simulation by means of Monte Carlo method. Influence of phonon and ionized impurity scattering processes on electron mobility in the channel has been analyzed. It is shown that in the vicinity of drain region a sufficient decrease of electron mobility defined by phonon scattering processes occurs and the growth of parasitic tunneling current is observed which have a negative influence on device characteristics.The developed simulation program may be used in computer-aided design of flash memory elements for the purpose of their structure optimization and improvement of their electrical characteristics.
现代快闪存储元件的工作原理是基于浮栅硅mosfet沟道中的电子传递过程。本工作的目的是计算电子迁移率,研究声子和电离杂质散射机制对迁移率的影响,以及计算闪存元件导电通道中的寄生隧道电流和通道电流。在闪存元件的设计阶段进行数值模拟,为器件参数的优化制定指导方针,确定其性能和可靠性。本文采用蒙特卡罗方法对表征电子传递的电物理参数迁移率、平均电子能、隧道电流和闪速存储器元件通道内的电流进行了数值模拟研究。分析了声子和电离杂质散射过程对通道中电子迁移率的影响。结果表明,在漏极区附近,由声子散射过程定义的电子迁移率发生了充分的下降,并且观察到寄生隧道电流的增长,这对器件特性有负面影响。所开发的仿真程序可用于闪存元件的计算机辅助设计,以优化其结构和改善其电学特性。
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引用次数: 0
Assessment of Electrical Machines’ State Based on Mathematical Modeling of Defect Formation in Windings 基于绕组缺陷形成数学模型的电机状态评估
IF 0.4 Q4 INSTRUMENTS & INSTRUMENTATION Pub Date : 2022-12-22 DOI: 10.21122/2220-9506-2022-13-4-302-313
A. V. Isaev, U. V. Suchodolov, D. V. Balakhonov
The highest quality and timely diagnostics of windings’ state of various types of electrical machines including of asynchronous motors’ windings is an impoitant task. Among the existing diagnostic methods currently the most promising are those ones based on methods for analyzing resonance processes occurring in electrical machines. The aim of the article was to assess the possibility of use resonant processes occurring in electrical machines for qualitative diagnostics of their windings state using the asynchronous motors example, to build mathematical models that allow describing defect formation in windings and to analyze the deviation of mathematical models relative to the results obtained.Analysis of the influence of the level of interturn resistances, the number of closed turns and the location of closed turns in sections on the phase-frequency characteristics of asynchronous motors windings of various classes has been carried out. Mathematical models of the phase-frequency characteristics are obtained, coefficients of polynomials are determined and the relative discrepancy between these mathematical dependences relative to the experimental data is estimated depending on the considered parameters characterizing defects in the coils’ windings of electrical machines.Obtained mathematical models and coefficients for them can serve as the basis for construction of automated control and diagnostic systems for checking of the windings state of electrical machines including assessing the residual life of their work.
对包括异步电动机在内的各类电机的绕组状态进行高质量和及时的诊断是一项重要的任务。在现有的诊断方法中,目前最有前途的是那些基于分析电机中发生的共振过程的方法。本文的目的是利用异步电动机为例,评估使用电机中发生的谐振过程定性诊断其绕组状态的可能性,建立允许描述绕组中缺陷形成的数学模型,并分析数学模型相对于所获得的结果的偏差。分析了匝间电阻的高低、闭合匝数和闭合匝段的位置对各类异步电动机绕组相频特性的影响。得到了相频特性的数学模型,确定了多项式系数,并根据表征电机线圈绕组缺陷的所考虑的参数,估计了这些数学依赖关系与实验数据之间的相对差异。所获得的数学模型和系数可作为构建自动控制和诊断系统的基础,用于检查电机的绕组状态,包括评估其工作的剩余寿命。
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引用次数: 0
Possibilities of Using of Surface and Subsurface Waves’ Amplitude-Angle Characteristics for Control of Materials with Surface-Hardened Inhomogeneous Layer 利用表面波和次表面波幅角特性控制表面硬化非均匀层材料的可能性
IF 0.4 Q4 INSTRUMENTS & INSTRUMENTATION Pub Date : 2022-12-21 DOI: 10.21122/2220-9506-2022-13-4-263-275
A. Baev, M. Asadchaya, A. Mayorov, O. Sergeeva, N. V. Delenkovsky
Improving the efficiency of ultrasonic control of hardened surface layers of metal products with a heterogeneous structure obtained using different technologies is a pressing problem of industrial production. The purpose of this work was to investigate the possibilities of measuring the depth of the surface inhomogeneous layer of steel objects on the basis of the use of amplitude and amplitude-angle characteristics of surface and subsurface transverse waves.The analysis of ultrasonic methods of control of physical and mechanical properties of metals by using surface and subsurface waves and experimentally investigated amplitude-angular characteristics of surface waves, the maximum angle of which increases by 3° at change of dimensionless layer depth hλ from zero to0.82. For the first time, the ratio of normalized amplitudes of surface waves taken at certain angles on theamplitude-angle characteristic curve obtained in the echo mode was proposed to be used as correlating parameters with the depth of the hardened layer. As a result of this research, the possibility of using a phased array transducers to solve the above problems.The effect of the hardened layer depth varying from zero to five in the working frequency range of 1.8– 10 MHz on the peculiarities of the refraction effect (including interference) and dependence of the subsurface wave amplitude on the acoustic base has been studied, making it possible to establish conditions that provide for the determination of the hardened layer depth.Circuit solutions have been offered in order to increase the efficiency of control of properties of the surface layers of metal articles on the basis of utilization of small-aperture transducers and ultrasonic reflectors making it possible to form fields of surface waves of different directional pattern. 
提高采用不同工艺获得的异质结构金属制品表面硬化层的超声控制效率是工业生产中迫切需要解决的问题。这项工作的目的是研究在利用表面和次表面横波的振幅和振幅角特性的基础上测量钢物体表面非均匀层深度的可能性。分析了利用表面波和次表面波控制金属物理力学性能的超声方法,并实验研究了表面波的幅角特性,当无量纲层深hλ从0到0.82变化时,表面波的最大角度增加了3°。首次提出在回波模式下获得的幅角特征曲线上,以一定角度的面波归一化幅值之比作为硬化层深度的相关参数。由于本研究的结果,有可能采用相控阵换能器来解决上述问题。研究了在1.8 - 10 MHz工作频率范围内,硬化层深度从0到5变化对折射效应特性(包括干涉)和次表面波振幅对声学基的依赖性的影响,从而有可能建立确定硬化层深度的条件。利用小孔径换能器和超声波反射器,可以形成不同方向图案的表面波场,从而提高对金属制品表面层性能的控制效率。
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引用次数: 1
High-Frequency Capacitor with Working Substance "Insulator-Undoped Silicon-Insulator" 工作物质为“绝缘子-未掺杂硅绝缘子”的高频电容器
IF 0.4 Q4 INSTRUMENTS & INSTRUMENTATION Pub Date : 2022-12-21 DOI: 10.21122/2220-9506-2022-13-4-247-255
N. Poklonski, I. I. Anikeev, S. A. Vyrko
The study of the parameters of capacitors with various working substances is of interest for the design and creation of electronic elements, in particular for the development of high-frequency phase-shifting circuits.The purpose of the work is to calculate the high-frequency capacitance of a capacitor with the working substance "insulator-undoped silicon-insulator" at different applied to the capacitor direct current (DC) voltages, measuring signal frequencies and temperatures.A model of such the capacitor is proposed, in which 30 µm thick layer of undoped (intrinsic) crystalline silicon (i-Si) is separated from each of the capacitor electrodes by 1 µm thick insulator layer (silicon dioxide).The dependences of the capacitor capacitance on the DC electrical voltage U on metal electrodes at zero frequency and at the measuring signal frequency of 1 MHz at absolute temperatures T = 300 and 400 K are calculated. It is shown that the real part of the capacitor capacitance increases monotonically, while the imaginary part is negative and non-monotonically depends on U at the temperature T = 300 K. An increase in the real part of the capacitor capacitance up to the geometric capacitance of oxide layers with increasing temperature is due to a decrease in the electrical resistance of i-Si layer. As a result, with an increase in temperature up to 400 K, the real and imaginary parts of the capacitance take constant values independent of U. The capacitance of i-Si layer with an increase in both temperature T and voltage U is shunted by the electrical conductivity of this layer. The phase shift is determined for a sinusoidal electrical signal with a frequency of 0.3, 1, 10, 30, 100, and 300 MHz applied to the capacitor at temperatures 300 and 400 K.
研究具有各种工作物质的电容器的参数对电子元件的设计和制造,特别是对高频移相电路的开发具有重要意义。本工作的目的是用工作物质“绝缘子-未掺杂硅-绝缘子”计算不同施加于电容器直流(DC)电压下的高频电容,测量信号频率和温度。提出了这种电容器的模型,其中30µm厚的未掺杂(本征)晶体硅(i-Si)层与电容器的每个电极隔有1µm厚的绝缘层(二氧化硅)。计算了在绝对温度T = 300和400k时,零频率和测量信号频率为1mhz时,电容容量对金属电极上直流电压U的依赖关系。结果表明,在温度T = 300 K时,电容器电容的实部随U的变化呈单调递增,虚部随U的变化呈非单调递增。随着温度的升高,电容的实部电容增加到氧化层的几何电容,这是由于i-Si层的电阻降低所致。因此,当温度升高到400k时,电容的实部和虚部取与U无关的恒定值。温度T和电压U同时升高时,i-Si层的电容被该层的电导率分流。对于频率为0.3、1、10、30、100和300 MHz的正弦电信号,在温度为300和400 K时应用于电容器,确定相移。
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引用次数: 0
Domain Structure Formation in Designing of the Opened Informative Measuring Systems 开放式信息测量系统设计中的领域结构形成
IF 0.4 Q4 INSTRUMENTS & INSTRUMENTATION Pub Date : 2022-12-21 DOI: 10.21122/2220-9506-2022-13-4-256-262
M. A. Knyazev
The opened systems possess an increasing significance and possibilities of applying in designing of measuring devices. Now an essentially nonlinear models are used for such systems. The perturbation approach is not enough for these purposes. Models of new types have solutions in a form of soliton or kink and similar objects. The equation of Fisher–Kolmogorov–Petrovskii–Piskunov is one of such equations. This equation is used for description of convection-reaction-diffusion processes. Such processes are used for studying of a self-organisation and formation of a structure in non-equilibrium opened systems. The aim of this work was to construct of a new solution for the modified equation of Fisher–Kolmogorov– Petrovskii–Piskunov in which a space inhomogeneity is accounted.To solve this problem the direct Hirota method for nonlinear partial differential equation is applied.Some modifications into this method were introduced.The new topologically non-trivial solution of the modified Fisher–Kolmogorov–Petrovskii–Piskunov equation is constructed explicitly. This solution has a kink-like form. Some arguments on the stability of such solution are considered.A possibility of domain structure formation in the systems which describe by the Fisher–Kolmogorov– Petrovskii–Piskunov equation is demonstrated. 
开放系统在测量装置设计中具有越来越重要的意义和应用的可能性。现在一个本质上的非线性模型被用于这样的系统。对于这些目的,摄动方法是不够的。新型模型的解以孤子或扭结或类似物体的形式存在。Fisher-Kolmogorov-Petrovskii-Piskunov方程就是其中之一。该方程用于描述对流-反应-扩散过程。这种过程用于研究非平衡开放系统中的自组织和结构的形成。本文的目的是为考虑空间非齐次性的修正方程Fisher-Kolmogorov - Petrovskii-Piskunov构造一个新的解。为了解决这一问题,采用了非线性偏微分方程的直接Hirota法。介绍了对该方法的一些改进。明确构造了改进的Fisher-Kolmogorov-Petrovskii-Piskunov方程的新的拓扑非平凡解。这个解有一个类似扭结的形式。对该解的稳定性进行了讨论。证明了用Fisher-Kolmogorov - Petrovskii-Piskunov方程描述的系统形成域结构的可能性。
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引用次数: 0
Spectral Ellipsometry as a Method of Investigation of Influence of Rapid Thermal Processing of Silicon Wafers on their Optical Characteristics 光谱椭偏法研究硅片快速热加工对其光学特性的影响
IF 0.4 Q4 INSTRUMENTS & INSTRUMENTATION Pub Date : 2022-10-24 DOI: 10.21122/2220-9506-2022-13-3-199-207
V. Solodukha, U. A. Pilipenko, A. Omelchenko, D. V. Shestovski
One of the possible ways of improvement of the surface properties of silicon is the solid phase recrystallization of the surface silicon layer after the chemical-mechanical polishing with application of the rapid thermal treatment with the pulses of second duration. The purpose of the given paper is investigation of influence of the rapid thermal treatment of the initial silicon wafers of the various doping level and reticular density on their optical characteristics by means of the spectral ellipsometry method.The investigation results are presented by means of the spectral ellipsometry method of the rapid thermal processing influence on the initial silicon wafers (KDB12 orientation <100>, KDB10 orientation <111> and KDB0.005 orientation <100>) of the various level of doping and reticular density influence on their optical characteristics: refraction and absorption ratios. Influence was confirmed of the silicon reticular density on its optical characteristics before and after the rapid thermal processing. It was shown, that reduction of the refraction and absorption ratios in the center of the Brillouin zone for the silicon samples with the high Boron concentration after the rapid thermal processing as compared with the low doped silicon. In the area of the maximum absorption peak, corresponding to the energy of the electron exit from the silicon surface (4.34 eV) the refraction indicator of the high doped silicon becomes higher, than of the low doped silicon, which is determined by the high concentration of the vacant charge carriers on the silicon surface in this spectral range.It was established, that the spectral area 3.59–4.67 eV, corresponding to the work of the electrons, exiting the silicon surface, the most informative way shows the difference of the 3 optical parameters of silicon of the different orientation, and for evaluation of influence of the silicon doping level on its optical characteristics the most informative is the spectral range of 3.32–4.34 eV. 
提高硅表面性能的可能途径之一是在化学机械抛光后,应用秒脉冲快速热处理使表面硅层固相再结晶。本文用光谱椭偏法研究了不同掺杂水平和网状密度的初始硅片的快速热处理对其光学特性的影响。利用光谱椭偏法研究了不同掺杂水平对初始硅片(KDB12取向、KDB10取向和KDB0.005取向)的快速热处理影响以及网状密度对其光学特性:折射率和吸收比的影响。确定了快速热处理前后硅网密度对其光学特性的影响。结果表明,与低掺杂硅相比,高硼含量硅样品经过快速热处理后,布里渊区中心的折射和吸收比降低。在最大吸收峰区域,对应于电子从硅表面出口的能量(4.34 eV),高掺杂硅的折射率指数比低掺杂硅的折射率指数更高,这是由硅表面在该光谱范围内的空载流子浓度高决定的。结果表明,在3.59 ~ 4.67 eV的光谱范围内,对应出硅表面的电子所做的功,最能反映出不同取向硅的3个光学参数的差异,而评价硅掺杂水平对其光学特性的影响,最能反映出3.32 ~ 4.34 eV的光谱范围。
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引用次数: 0
Non-Destructive Testing by Magnetic Noise Method of the Quality of Heat Treatment of Steel Samples Obtained by Additive Technology 用磁噪声法无损检测增材热处理钢样的质量
IF 0.4 Q4 INSTRUMENTS & INSTRUMENTATION Pub Date : 2022-10-24 DOI: 10.21122/2220-9506-2022-13-3-228-236
V. Busko, A. Kren, G. A. Lanzman
The manufacture of products using additive technologies is accompanied by the unpredictable appearance of inhomogeneity of properties, anisotropy, residual stresses, porosity, and other defects. Therefore, there is a great relevance of non-destructive quality control of products obtained by additive technologies. The purpose of the paper is the experimental investigation of the possibility of testing and evaluation of the quality of heat treatment of three-dimensional and cast samples by non-destructive control methods.The low-alloy steel 09G2S samples, which was obtained by casting and selective laser sintering different modes of subsequent heat treatments were studied. The method of the Barkhausen effect and the instrumented indentation method for measuring the material hardness were applied.It was experimentally established that both methods are highly sensitive to annealed and normalized three-dimensional samples and their rejection. Compared to the hardness measurement method, which is mainly associated with phase-structural changes, the magnetic noise method due to selectivity to other controlled parameters is additionally sensitive to cast samples (at the same time the microstructures of cast and normalized three-dimensional samples are close to each other according to X-ray data).The magnetic noise method can be used as one of the physical methods for evaluation the quality and control of the heat treatment of 3D samples at the manufacturing stage when testing their types and modes, as well as sorting samples. 
使用添加剂技术制造产品伴随着不可预测的性能不均匀性、各向异性、残余应力、孔隙率和其他缺陷的出现。因此,通过增材技术获得的产品的无损质量控制具有很大的相关性。本文的目的是对用无损控制方法检测和评价三维和铸造试样热处理质量的可能性进行实验研究。对采用铸造和选择性激光烧结制备的低合金钢09G2S试样进行了不同热处理方式的研究。采用巴克豪森效应法和仪器压痕法测量材料硬度。实验证明,这两种方法对退火和归一化三维样品及其排斥都非常敏感。相对于主要与相结构变化相关的硬度测量方法,磁噪声法由于对其他控制参数的选择性,对铸态样品更加敏感(同时根据x射线数据,铸态和归一化三维样品的显微组织接近)。磁噪声法可作为3D样品在制造阶段的热处理质量和控制的物理方法之一,用于测试样品的类型和模式,以及样品的分选。
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引用次数: 0
Development of Engineering Models of Nanosatellites for Student Training 面向学生训练的纳米卫星工程模型的开发
IF 0.4 Q4 INSTRUMENTS & INSTRUMENTATION Pub Date : 2022-10-24 DOI: 10.21122/2220-9506-2022-13-3-172-179
V. Е. Evchik, A. Spiridonov, Dmitrii Ushakov, V. Baranova, I. A. Shalatonin, V. Saechnikov
AbstractThe work purpose is the development of BSUIM-1 and BSUIM-2 complexes for training specialists in the aerospace industry with the used engineering test beds and experimental facilities.Two sets of nanosatellite engineering models and ground stations had developed. They allow testing hardware and software of the onboard equipment and payload, simulating operation modes, and flight programs, and enable students to gain practical skills in working with ultra-small satellites. The complexes include ground stations, 2 ultra-small satellite simulators, BSUSAT-1 low-orbit nanosatellite, remote access laboratory, local and external servers for data storage. The complexes' website and database allow for full-time and remote training. The experience gained in conducting experiments, processing telemetry, and structuring information in the database is used for further development. All the developed equipment is made based on commercial off-the-shelf elements. It has reduced development costs, flexible equipment reconfiguration, and easier access to the simulator's internal architecture for demonstration purposes.The developed complexes allow students to practically study the ultra-small satellite components design and ground stations, methods for receiving and processing telemetry and scientific information, attitude determination and control algorithms. The complexes allow to conduct of research in the development of individual onboard systems and special-purpose equipment of the nanosatellite and their testing in the loop. The results obtained are introduced into the educational process and are used in lectures and laboratory classes for aerospace specialties students. The developed complexes make it possible to carry out term papers, theses, and master’s works related to the design of hardware and software for nanosatellites and a ground station, the setting up of space experiments, the development of new algorithms and a flight program for ultra-small satellites.
摘要工作目的是开发BSUIM-1和BSUIM-2综合体,用于培训航空航天工业专家,使用工程试验台和实验设施。开发了两套纳米卫星工程模型和地面站。他们允许测试机载设备和有效载荷的硬件和软件,模拟操作模式和飞行程序,并使学生获得与超小型卫星一起工作的实用技能。这些综合体包括地面站、2个超小型卫星模拟器、BSUSAT-1低轨道纳米卫星、远程访问实验室、用于数据存储的本地和外部服务器。该综合体的网站和数据库允许进行全日制和远程培训。在进行实验、处理遥测和在数据库中构建信息方面获得的经验将用于进一步的开发。所有开发的设备都是基于商业现成的元素。它降低了开发成本,灵活的设备重新配置,并且更容易访问模拟器的内部架构以进行演示。开发的综合体使学生能够实际研究超小型卫星组件设计和地面站,接收和处理遥测和科学信息的方法,姿态确定和控制算法。这些综合设施允许对单个机载系统和纳米卫星专用设备的开发进行研究,并在环路中进行测试。所得结果被引入到教学过程中,并用于航天专业学生的讲座和实验课。已开发的综合体可以进行纳米卫星和地面站硬件和软件设计、空间实验的建立、新算法的开发和超小型卫星的飞行计划等方面的学期论文、论文和硕士作品。
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引用次数: 2
Calculation of Correction Factors for Vickers’ Hardness Measurements on a Non-Planar Surface 非平面维氏硬度测量校正系数的计算
IF 0.4 Q4 INSTRUMENTS & INSTRUMENTATION Pub Date : 2022-10-24 DOI: 10.21122/2220-9506-2022-13-3-189-198
S. G. Sandomirski, A. L. Val’ko, S. P. Rudenko
The exact determination of Vickers HV hardness is important for determining of the product material mechanical properties. An important aspect of measuring HV is to obtain its values on a non-planar surface. Regulatory documents contain table values of correction factors K which depend on the surface shape (convex or concave, spherical or cylindrical), its curvature (diameter D) and hardness (arithmetic mean d of indentation diagonal lengths) but this does not solved the problem. The K values for d/D ratios not given in the tables are determined by interpolation from the closest to the measured tabulated d/D values. The error in the representation of these tabulated d/D values is fully included in the error of determining the K coefficient for the measured d/D ratio. The aim of the work was to simplify the calculation of correction factors K for Vickers hardness measurements on non-planar surfaces and to reduce the calculation error compared to the methodology governed by the regulations.The method presented is based on a statistical analysis of K coefficients, presented in regulatory documents for cases considered in the form of tables. The sufficiency of using of a quadratic power function for approximating K(d/D) dependences and the necessity of fulfilling the physically justified condition K ≡ 1 at zero curvature of tested surface have been substantiated. Simplification of calculation of K coefficient and decrease of calculation error in comparison with the recommended in the regulatory documents obtaining of K value by linear interpolation relative to two adjacent table values are shown.The reduction of the calculation error in comparison with the calculation recommended in the regulatory documents occurred because of the reason that when calculating by the developed formulas, the error in the value of the calculated for a specific value of d/D coefficient K is averaged over all n values of d/D given in the table of GOST for a given surface. That is, the error is reduced by a factor of about √n 2 in comparison with the calculation according to the regulated procedure. This is illustrated by the above numerical data and an example of the use of the method.The obtained formulas for calculation of correction coefficients K when measuring hardness HV on spherical and cylindrical (concave and convex) surfaces are reasonable to use for automatic calculation of HV on items with a non-planar surface.
准确测定维氏HV硬度对制品材料力学性能的测定具有重要意义。测量HV的一个重要方面是在非平面表面上获取其值。规范性文件包含修正因子K的表值,这取决于表面形状(凸或凹,球形或圆柱形),其曲率(直径D)和硬度(压痕对角线长度的算术平均值D),但这并不能解决问题。表中未给出的d/ d比的K值是通过最接近测量表中的d/ d值的插值确定的。这些表中的d/ d值表示的误差完全包含在确定测量的d/ d比的K系数的误差中。本工作的目的是简化非平面维氏硬度测量的修正系数K的计算,并减少与规定方法相比的计算误差。所提出的方法是基于K系数的统计分析,在以表格形式考虑的情况的监管文件中提出。使用二次幂函数来近似K(d/ d)依赖关系的充分性和满足被测表面零曲率处K≡1的物理证明条件的必要性已经得到证实。与规范性文件中推荐的K系数计算方法相比,K系数的计算简化了,计算误差减小了。与规范性文件中推荐的计算相比,计算误差减小的原因是,在使用所开发的公式计算时,对给定表面的GOST表中给出的所有n个d/ d值进行平均,计算出特定d/ d系数K值的误差。也就是说,与按规定程序计算的误差相比,误差减小了约√n2。上述数值数据和应用实例说明了这一点。所得的球面和圆柱(凹面和凸面)硬度HV测量时修正系数K的计算公式,可以合理地用于非平面物体硬度HV的自动计算。
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引用次数: 0
Non-Additive Quantity Measurement Model 非加性数量测量模型
IF 0.4 Q4 INSTRUMENTS & INSTRUMENTATION Pub Date : 2022-10-24 DOI: 10.21122/2220-9506-2022-13-3-208-215
V. Romanchak, P. Serenkov
This work considers a model for measuring non-additive quantities, in particular a model for subjective measurement. The purpose of this work was to develop the measurement theory and form of a measurement model that uses the corrected S. Stevens measurement model.A generalized structure was considered that included an empirical system, a mathematical system, and a homomorphism of the empirical system into a numerical system. The main shortcomings of classical measurement theories seem to be: 1) homomorphism does not display operations (in this case, one cannot speak of the meaningfulness of the model); and 2) there is no empirical measurement model that could confirm the existence of a homomorphism. To overcome the shortcomings of existing theories a definition of the measurement equation is given. As a result a measurement model is obtained that is free from the shortcomings of classical measurement theories. The model uses the corrected model of S. Stevens and the reflection principle of J. Barzilai.The measurement model was tested using laws that were obtained empirically. Using the model it is shown that Fechnerʼs empirical law is equivalent to Stevensʼs empirical law. This means that the problem which has attracted attention of many researchers for almost a century, has been solved.A numerical example demonstrates the possibilities of the proposed measurement model. It is shown that the model can be used for extended analysis of expert assessments.
这项工作考虑了测量非加性量的模型,特别是主观测量的模型。这项工作的目的是发展测量理论和测量模型的形式,使用修正的S. Stevens测量模型。我们考虑了一个广义结构,它包括一个经验系统、一个数学系统和一个经验系统的同态到一个数值系统。经典测量理论的主要缺点似乎是:1)同态不显示操作(在这种情况下,人们不能谈论模型的意义);2)没有经验测量模型可以证实同态的存在。为了克服现有理论的不足,给出了测量方程的定义。由此得到的测量模型摆脱了经典测量理论的缺点。该模型采用Stevens的修正模型和Barzilai的反射原理。利用经验得到的规律对测量模型进行了检验。利用该模型证明了费希纳的经验定律与史蒂文斯的经验定律是等价的。这意味着近一个世纪以来吸引了许多研究人员关注的问题得到了解决。数值算例验证了该测量模型的可行性。结果表明,该模型可用于专家评价的扩展分析。
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Devices and Methods of Measurements
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