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Acoustic Sensor for Assessing the State of Production Equipment 用于生产设备状态评估的声学传感器
S. Nekrasov
An important trend in the development of industry is the development of digital models of industrial facilities, the work of which is based on information coming from sensors. This allows you to optimize functionality, predict the technical condition of objects, which is especially important, for example, in the field of metallurgical production, where forced stops are accompanied by huge losses. The sensors themselves are also modeling objects, because they need to adapt to rigid production conditions in which their own shortcomings are manifested, while the correct introduction of corrections for environmental conditions, diagnostics and self-diagnostics, which are impossible without building various types of sensor models, is important. The purpose of the work is to deve¬lop a universal discrete model of an acoustic sensor suitable for receiving and emitting acoustic signals. Methods. The work used methods of classical mechanics and mathematics, vibration theory, generalized functions, distributed systems, and mathematical programming methods were used to provide calculations. Results. The main result is a universal discrete model of a sensor with a working element in the form of a round plate, which by choosing parameters can be transformed into a model of a unidirectional dynamic microphone with a flat membrane or a radiator with a focusing spherical element. It is shown that on the basis of the model it is possible to synthesize narrow-directional radiation diagrams and thereby obtain the necessary spatial selectivity and noise immunity of measurements. Conclusion. Calculations made using the proposed model correspond to the known results of acoustics. Verification of the discrete model using a natural sample showed a high accuracy in determining the resonant frequencies and forms of oscillation of the sensor.
工业发展的一个重要趋势是工业设施的数字模型的发展,其工作是基于来自传感器的信息。这允许您优化功能,预测对象的技术条件,这是特别重要的,例如,在冶金生产领域,其中强制停止伴随着巨大的损失。传感器本身也是建模对象,因为它们需要适应刚性的生产条件,在这种生产条件下,它们自身的缺点就会表现出来,而正确引入对环境条件的修正、诊断和自诊断是很重要的,如果不建立各种类型的传感器模型,这些都是不可能的。工作的目的是开发¬垂下的一个通用离散模型的声学传感器适用于接收和发射声信号。方法。工作中使用了经典力学和数学的方法,振动理论,广义函数,分布式系统和数学规划方法来提供计算。结果。得到了工作单元为圆板形式的传感器的通用离散模型,通过选择参数可将其转化为平面膜的单向动态传声器模型或聚焦球面单元的辐射器模型。结果表明,在该模型的基础上,可以合成窄向辐射图,从而获得测量所需的空间选择性和抗噪性。结论。利用所提出的模型进行的计算与已知的声学结果相一致。用自然样本验证离散模型表明,在确定传感器的谐振频率和振荡形式方面具有很高的准确性。
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引用次数: 0
Formalization of Basic Processes and Mathematical Model of the System for Monitoring and Analysis of Publications of Electronic Media 电子媒体出版物监测分析系统基本流程形式化及数学模型
V. Komarov, S.M. Roschin
The article describes an approach to formalizing basic processes and building a mathematical model for a system for collecting and analyzing data from electronic media. The authors, as part of a scientific study, are creating a system, including the development of new algorithms, methods and approaches for collecting and analyzing textual information from Internet news sources. The main direction of the study is the application of methods for the mining of text data based on the technology of artificial neural networks, methods of natural language processing, text mining, machine learning and big data processing. Purpose of the study. To develop a formalized description of the model of the system for monitoring and analyzing the text information of electronic news media using the methods of mathematical modeling. Research methods and tools. The use of the toolkit of the methodology of mathematical modeling, with the methods of system analysis is proposed. To study the system, such methods of system analysis as abstraction, formalization, composition and decomposition, structuring and restructuring, modeling, recognition and identification were used. The system is considered as a formalized model of an automatic classifier and clusterizer for a set of text documents in a natural language in the form of an algebraic system. To solve the problems of classification and clustering of texts, it is proposed to apply machine learning methods based on neural network approaches. The structure of the system and its constituent processes, as well as processes interacting with the system from outside, are presented in the form of a formalized mathematical description. Results. The developed formalized mathematical description of the system model clearly shows the interconnection of the system components with each other, as well as internal processes. The applied approach makes it possible to detail the representation of the system based on its decomposition into subsystems and modules. All this makes it possible to streamline the sequence of stages of creating a system and decompose them into separate stages of work. Conclusion. The results obtained in the course of the study allow us to move on to the next stage of the life cycle of the information system being developed - its software development.
本文描述了一种形式化基本过程的方法,并为从电子媒体收集和分析数据的系统建立数学模型。作为一项科学研究的一部分,作者正在创建一个系统,包括开发新的算法、方法和途径,用于从互联网新闻来源收集和分析文本信息。主要研究方向是基于人工神经网络技术、自然语言处理方法、文本挖掘、机器学习和大数据处理方法的文本数据挖掘方法的应用。研究目的:运用数学建模的方法,对电子新闻媒体文本信息监测与分析系统的模型进行形式化描述。研究方法和工具。运用工具箱的方法进行数学建模,并结合系统分析的方法提出。采用抽象、形式化、组成与分解、结构化与重构、建模、识别与识别等系统分析方法对系统进行研究。该系统被认为是一组自然语言文本文档以代数系统形式的自动分类器和聚类器的形式化模型。为了解决文本的分类和聚类问题,提出了基于神经网络方法的机器学习方法。系统的结构及其组成过程,以及从外部与系统相互作用的过程,都以形式化的数学描述的形式呈现。结果。系统模型的形式化数学描述清楚地显示了系统组件之间的互连以及内部过程。应用的方法使得基于子系统和模块分解的系统的详细表示成为可能。所有这些都可以简化创建系统的阶段序列,并将它们分解为单独的工作阶段。结论。在研究过程中获得的结果使我们能够进入正在开发的信息系统生命周期的下一个阶段- -它的软件开发。
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引用次数: 0
To the Question of Determining the Barometric Height by a Mechanical Altimeter and Air Signal System 用机械高度计和空气信号系统确定气压高度的问题
V. Panferov, S. Panferov, А.М. Hayutin, N. A. Trenin, K. V. Yatsuk
Reliable information on the altitude and speed parameters of the aircraft (AC) is required for safety and increasing the efficiency of flight missions. In this regard, the task of studying the features and improving the characteristics of existing meters for these parameters is quite urgent. Purpose of the study. The features of determining the barometric altitude of an aircraft by a mechanical indicator and an air signal system (SHS) are considered. Materials and methods. The essence of the baro¬metric method for measuring the altitude of the aircraft is analyzed, it is found that to build a clear theory of the method, it is necessary to know the dependence of the temperature of the atmosphere on the altitude. Moreover, it is known that this temperature usually decreases with increasing altitude. However, the rate of decrease unpredictably changes both at different times of the year and day, and at different points and at different heights. Moreover, in some cases, in a certain range of heights, the temperature may not decrease, but, on the contrary, increase. In this regard, there is some problem with the formalization of this dependence. When constructing a theory of the method for mechanical pointers, one proceeds in such a way that the dependence for the International Stan¬dard Atmosphere (ISA) is used, in which temperature and pressure are uniquely related. When developing algorithmic support for SHS, it is considered that the temperature decreases with height as well as in a standard atmosphere, but its actual value at the level of the reference plane can be anything that is not at all related to pressure and altitude in ISA. For this purpose, a temperature control unit is provided in the SHS at the level of the height reference plane. Results. A formula has been obtained that makes it possible to determine the difference between the readings of a mechanical altimeter and SHS. It was found that this difference is a function of pressure and temperature at the level of the plane of the altitude reference plane, as well as the actual pressure at the flight altitude. Numerical studies have been carried out to assess the discrepancy between the readings. It has been established that the relative difference in readings can reach the order of magnitude under ope¬rating conditions, and it practically does not depend on the aircraft altitude and is, in essence, a constant for the indicated initial values of pressure and temperature (at the level of the plane of the altitude reference). Conclusion. The developed algorithms can be used to improve the algorithmic support of the SHS.
关于飞机的高度和速度参数的可靠信息(AC)是安全和提高飞行任务效率所必需的。因此,研究和改进现有仪表对这些参数的特性是十分紧迫的任务。研究目的:考虑了机械指示器和空气信号系统(SHS)确定飞机气压高度的特点。材料和方法。分析了测量飞机高度的气压法的本质,发现要建立一个明确的方法理论,就必须知道大气温度对高度的依赖关系。此外,众所周知,这个温度通常随着海拔的升高而降低。然而,在一年和一天的不同时间,在不同的点和不同的高度,减少的速度都不可预测地变化。此外,在某些情况下,在一定的高度范围内,温度可能不会降低,相反,会升高。在这方面,这种依赖性的形式化存在一些问题。在构建机械指针方法的理论时,要使用国际标准大气压(ISA)的依赖关系,其中温度和压力是唯一相关的。在开发支持SHS的算法时,考虑到温度在标准大气中随高度和高度而降低,但其在参考平面水平上的实际值可以是ISA中与压力和高度完全无关的任何值。为此,在SHS中在高度参考平面的水平面上提供了一个温度控制单元。结果。得到了一个公式,可以确定机械高度计和SHS读数之间的差异。结果发现,这一差值是高度参考平面的平面上的压力和温度以及飞行高度上的实际压力的函数。已经进行了数值研究来评估读数之间的差异。已经确定,在工作条件下,读数的相对差异可以达到数量级,并且它实际上不依赖于飞机高度,本质上是指示的压力和温度的初始值的常数(在高度参考平面的水平上)。结论。所开发的算法可用于提高SHS的算法支持度。
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引用次数: 0
Numerical Method for Processing the Results of Dynamic Measurements 动态测量结果处理的数值方法
D. Yaparov, A. Shestakov
The problem of processing data obtained during dynamic measurements is one of the central problems in measuring technology. Purpose of the study. The article is devoted to the study of the stability of the method for solving the problem of processing the results of dynamic measurements with respect to the error in the initial data. Therefore, an urgent task is the development of algorithms for processing the results of dynamic measurements. Materials and methods. This article proposes an algorithm for processing the data obtained during dynamic measurements based on the finite-difference approach. The main prerequisites of the mathematical model of the problem of dynamic measurements associated with the processes of restoration of the input signal in conditions of incomplete and noisy initial data are as follows. Initially, the function of the noisy output signal is known. The restoration of the input signal is carried out using the transfer function of the sensor. The transfer function of the sensor is presented in the form of a differential equation. This equation describes the state of a dynamic system in real time. The proposed computational scheme of the method is based on finite-difference analogs of partial derivatives and the Tikhonov regularization method was used to construct a numerical model of the sensor. The problem of stability of the method for solving high-order differential equations is also one of the central problems of data processing in automatic control systems. Based on the approach of the generalized quasi-optimal choice of the regularization parameter in the Lavrent'ev method, the dependence of the regularization parameter, the parameters of the dynamic measuring system, the noise index and the required level of accuracy was found. Results. The main goal of the computational experiment was to construct a numerical solution to the problem under consideration. Standard test functions were considered as input signals. Test signals simulating various physical processes were used as an input signal. The function of the output signal was found using the proposed numerical method, the found function was noisy with an additive noise of 5 %. Conclusion. The input signal was restored from the noisy signal. The deviation of the reconstructed signal from the initial one in all experiments was no more than 0.05, which indicates the stability of this method with respect to noisy data.
动态测量数据的处理问题是测量技术的核心问题之一。研究目的:本文研究了动态测量结果处理方法相对于初始数据误差的稳定性问题。因此,一项紧迫的任务是开发处理动态测量结果的算法。材料和方法。本文提出了一种基于有限差分法的动态测量数据处理算法。在初始数据不完整和有噪声的情况下,与输入信号恢复过程相关的动态测量问题的数学模型的主要先决条件如下。最初,噪声输出信号的函数是已知的。输入信号的恢复是利用传感器的传递函数进行的。传感器的传递函数以微分方程的形式表示。这个方程描述了动态系统的实时状态。该方法的计算格式基于偏导数的有限差分类比,并采用Tikhonov正则化方法构建了传感器的数值模型。求解高阶微分方程方法的稳定性问题也是自动控制系统中数据处理的中心问题之一。基于Lavrent'ev方法中正则化参数的广义拟最优选择方法,找到了正则化参数与动态测量系统参数、噪声指标和精度要求之间的依赖关系。结果。计算实验的主要目的是为所考虑的问题建立一个数值解。将标准测试函数作为输入信号。模拟各种物理过程的测试信号作为输入信号。用所提出的数值方法求出了输出信号的函数,该函数具有5%的加性噪声。结论。从噪声信号中恢复输入信号。在所有实验中,重构信号与初始信号的偏差均不大于0.05,表明该方法相对于有噪声数据是稳定的。
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引用次数: 0
Perm Region Natural Resource Potential Forecasting Using Machine Learning Models 利用机器学习模型预测彼尔姆地区自然资源潜力
A. Kopoteva, A. A. Maksimov, N. Sirotina
In the article we consider a complex indicator of region natural resource potential modeling and forecasting quality improvement using different machine learning models. Problem under consideration importance is determined by the fact that the models traditionally used for these purposes demonstrate either low quality, or high configuration and parameters evaluation difficulty. The aim of the study is determination of machine learning models that provide the optimal values of various modeling quality metrics. Materials and methods. For this study purposes we considered the multiple linear regression, decision tree, random forest, gradient boosting and multilayer perceptron mo¬dels. We used the determination coefficient R2, the root mean square error of modeling RMSE, the average absolute error of modeling MAE, and the relative error of prediction for 1 and 2 time intervals as quality metrics. This study is based on data of the complex indicator of the Perm Region natural resource potential and the system of its determining factors in the time interval from 2001 to 2018. We evaluate models and calculate quality metrics using Pandas and Scikit-learn Python libraries in Jupiter Notebook environment. Results. According to our research the classical multiple linear regression model demonstrates the worst results for all quality metrics under consideration. The decision tree model demonstrates determination coefficient maximum value and minimum root mean square error and mean absolute error. Minimum relative forecasting error for 2017 is provided by the gradient boosting model, for 2018 – by the multilayer perceptron model. Conclusion. Our study allows us to affirm that nonlinear machine learning models for the task of region natural resource potential modeling and forecasting demonstrate better approximating and predictive properties compared to multiple linear regression and thus can be used to improve the quality of natural resource management.
在本文中,我们考虑了一个复杂的指标,区域自然资源潜力建模和预测质量改进使用不同的机器学习模型。所考虑的问题的重要性取决于这样一个事实,即传统上用于这些目的的模型要么质量低,要么结构和参数评估难度高。该研究的目的是确定提供各种建模质量指标的最佳值的机器学习模型。材料和方法。在本研究中,我们考虑了多元线性回归、决策树、随机森林、梯度增强和多层感知器模型。我们使用决定系数R2、建模RMSE的均方根误差、建模MAE的平均绝对误差和预测1和2个时间间隔的相对误差作为质量指标。本研究基于2001 - 2018年彼尔姆地区自然资源潜力复杂指标及其决定因素系统数据。我们使用Pandas和Scikit-learn Python库在Jupiter Notebook环境中评估模型并计算质量指标。结果。根据我们的研究,经典的多元线性回归模型显示了所有考虑的质量指标的最差结果。决策树模型展示了决定系数最大值和最小均方根误差和平均绝对误差。2017年的最小相对预测误差由梯度增强模型提供,2018年-由多层感知器模型提供。结论。我们的研究证实,与多元线性回归相比,用于区域自然资源潜力建模和预测任务的非线性机器学习模型具有更好的近似和预测特性,从而可以用于提高自然资源管理的质量。
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引用次数: 0
Optimum ECG Signal Filtering Based on Wavelet Transformation 基于小波变换的心电信号优化滤波
B. Saidov, V. Telezhkin
The development of digital signal processing and microprocessor technology creates conditions for improving methods for diagnosing the functional state of organs. Wavelet analysis is a modern and promising method of information processing. In order to determine the effective optimal filtering of the electrocardiography signal based on the wavelet transform, wavelet filtering was performed using wavelets of different families, the efficiency of using different levels of decomposition, me¬thods for calculating the threshold and types of the threshold function was investigated. Aim. Determination of effective optimal filtering of electrocardiography signal based on wavelet transform. Materials and methods. Cardiograms were taken for analysis. Then they were digitized and entered into a computer for processing. A program was written in the Matlab environment that implements continuous and discrete wavelet transform. Results. As a result of the research, 56 combinations of noise reduction parameters were tested for three noise levels. It was found that the maximum degree of signal purification from noise was obtained using the Coiflets 5 wavelet using a rigid thresholding method, with a heuristic method for calculating the threshold value. Wavelet Simlet 8 has lower correlation coefficient values than Coiflets 5, at 35 dB the best result is 97%, the noise level is 40 dB the best result is 98.7%, the noise level is 45 dB the best result is 99.3%, which is generally negligible differs from the correlation coefficients of the wavelet Coiflets 5. Conclusion. As a result of the study, the first and the present work, the following conclusions were made: the optimal level of the wavelet decomposition of the ECG signal N = 2; the maximum degree of signal cleaning from noise was obtained using the Coiflets 5 wavelet using a rigid thresholding method, with a heuristic method for calculating the threshold value; Simlet 8 wavelet using a soft thresholding method with a minimax thresholding method also shows noteworthy results, slightly inferior to Coiflets 5 wavelet results.
数字信号处理和微处理器技术的发展为器官功能状态诊断方法的改进创造了条件。小波分析是一种很有前途的现代信息处理方法。为了确定基于小波变换的心电图信号有效的最优滤波方法,采用不同科的小波进行小波滤波,研究了不同层次分解的效率、阈值的计算方法和阈值函数的类型。的目标。基于小波变换的心电图信号有效最优滤波确定。材料和方法。进行心电图分析。然后将它们数字化并输入计算机进行处理。在Matlab环境下编写了实现连续和离散小波变换的程序。结果。研究的结果是,在三个噪声水平下测试了56种降噪参数组合。结果表明,Coiflets 5小波采用刚性阈值法获得了最大的噪声信号净化程度,并采用启发式方法计算阈值。小波Simlet 8的相关系数值低于Coiflets 5,在35 dB时的最佳结果为97%,噪声级为40 dB时的最佳结果为98.7%,噪声级为45 dB时的最佳结果为99.3%,与Coiflets 5的相关系数差异一般可以忽略。结论。通过对第一篇和本工作的研究,得出以下结论:心电信号的小波分解的最优水平N = 2;采用刚性阈值法对Coiflets 5小波进行最大程度的信号去噪,并采用启发式方法计算阈值;Simlet 8小波使用软阈值法和极大极小阈值法也显示出值得注意的结果,略逊于Coiflets 5小波结果。
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引用次数: 0
Determination of the Parameters of the La¬mination of a Bimetallic Plate by Means of Active Thermal Non-Destructive Control 主动热无损控制法测定双金属板沉积参数
O. Loginovskiy, L.Yu. Kostyleva, A. Maksimov, I. Yachikov
Bimetals are in many ways substitutes for scarce metals, while they represent an independent group of materials necessary for the creation of new machines, devices and other various products. The increasing volume of production of bimetals and products made from them requires an increase in their operational characteristics and, accordingly, an increase in the quality of finished products. One of the difficult technological tasks is the connection of aluminum and its alloys with steels of various classes, since there are many problems associated with the quality of the connection of me¬tals with different properties. To improve the reliability and durability of machines and other pro¬ducts made of bimetals, it is necessary to carry out continuous quality control, and the most effective methods are non-destructive testing. Quite promising in terms of simplicity and accessibility is the method of active thermal control, in which the investigated product is subjected to pulsed thermal action by means of a source of thermal loading. The amplitude, shape and time variation of temperature signals serve as informative parameters that allow an operator or an automated system to detect certain defects and evaluate their parameters. With all the availability of pulsed thermal control, the most difficult component is associated with specialized computer programs for processing experimental data and determining the parameters of a delamination defect. The aim of the study is to create a computer model of the thermal state of a bimetallic plate in the presence of an air bubble between the layers and, through computer simulation, to determine the size of defects during active pulse thermal non-destructive testing of steel-aluminum plates. Materials and methods. When performing the work, the methods of mathematical and computer modeling were used. The created software using the development tools of the MATLAB package was based on known methods for obtaining an approximate solution to a boundary value problem on a computer using the finite difference method. Results. A mathematical model has been developed, an algorithm for solving a boundary value problem, and a computer program has been created that allows simulating a pulse thermal control to determine the parameters of a delamination defect in a bimetallic plate. Conclusion. It was found that it is more efficient to measure the temperature difference from the side where the defect is located and the multilayer plate is heated. Heating the plates from the side opposite to the defect and their further cooling showed significantly lower efficiency in terms of obtaining a useful temperature signal. It is shown that in the presence of a defect, the greater the loading heat flux and the defect size, the greater the value of the useful signal determined by the temperature difference on the measured surface.
双金属在许多方面都是稀有金属的替代品,它们代表了一组独立的材料,是制造新机器、设备和其他各种产品所必需的。双金属和由其制成的产品的产量不断增加,要求提高其操作特性,从而提高成品的质量。其中一项困难的技术任务是铝及其合金与各种等级的钢的连接,因为有许多问题与不同性质的金属的连接质量有关。为了提高双金属制造的机器和其他产品的可靠性和耐用性,有必要进行持续的质量控制,而最有效的方法是无损检测。主动热控制方法在简单性和可及性方面非常有前途,其中所研究的产品通过热负荷源受到脉冲热作用。温度信号的幅度、形状和时间变化作为信息参数,允许操作员或自动化系统检测某些缺陷并评估其参数。在脉冲热控制的所有可用性中,最困难的部分是与处理实验数据和确定分层缺陷参数的专门计算机程序相关。本研究的目的是建立双金属板在层间存在气泡时热状态的计算机模型,并通过计算机模拟确定钢-铝板主动脉冲热无损检测过程中缺陷的大小。材料和方法。在进行工作时,采用了数学和计算机建模的方法。利用MATLAB包的开发工具创建的软件是基于已知的在计算机上使用有限差分法获得边值问题近似解的方法。结果。建立了一个数学模型,一个求解边值问题的算法,并创建了一个计算机程序,可以模拟脉冲热控制,以确定双金属板中分层缺陷的参数。结论。研究发现,从缺陷所在的多层板受热的侧面测量温差更为有效。从缺陷对面加热板并进一步冷却,在获得有用的温度信号方面,效率显着降低。结果表明,在存在缺陷的情况下,载荷热流大和缺陷尺寸越大,由被测表面温差决定的有用信号值越大。
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引用次数: 0
Multi-Agent Model of Multi-Nomenclature Small Batch Production 多名称小批量生产的多智能体模型
P. A. Russkikh, D. Kapulin
Production planning is a key aspect when optimizing production activities. Simulation is one of the most effective methods available for assessing production problems. The principles of adaptive planning consist of making day-to-day operational decisions at the shop floor, predicting equipment availability, assessing performance, and eliminating bottlenecks. Existing research to eliminate bottlenecks has focused on analyzing data from the physical shop, or vice versa, only on the use of simulated data. Convergence between real and simulated data allows, on the one hand, to obtain more information to predict the availability of each workplace, on the other hand, it allows performance assessment for replanning using a simulation model. Aim. Development of optimization tools for production planning using simulation approaches. Materials and methods. This article presents a multi-agent simulation model for each workplace in the workshop, examines the workload of the workshop, and evaluates the productivity of workplaces. Optimization is proposed for optimal utilization of production facilities. As an example illustrating the efficiency and advantage of the proposed model, we took the production process of electronic equipment in the assembly shop. Results. A planning problem and an approach to optimization are formulated. A multi-agent model of multinomenclature small-scale production has been developed. The model provides for the integration of simulation tools with operational planning systems at the data level. Conclusion. The model proposed in the study allows small-scale production to plan the number of jobs and identify bottlenecks in production. The use of a combination of simulation and planning tools ensures enterprise resource management, taking into account dynamic changes in the system.
生产计划是优化生产活动的一个关键方面。仿真是评估生产问题最有效的方法之一。适应性规划的原则包括在车间制定日常操作决策、预测设备可用性、评估性能和消除瓶颈。现有的消除瓶颈的研究主要集中在分析来自实体店的数据,反之亦然,只使用模拟数据。真实数据和模拟数据之间的融合,一方面允许获得更多的信息来预测每个工作场所的可用性,另一方面,它允许使用模拟模型进行重新规划的绩效评估。的目标。利用仿真方法开发生产计划的优化工具。材料和方法。本文提出了车间中每个工作场所的多智能体仿真模型,考察了车间的工作量,并评估了工作场所的生产率。提出了生产设备优化利用的优化方案。以装配车间电子设备的生产过程为例,说明了该模型的有效性和优越性。结果。提出了一个规划问题和优化方法。建立了多企业小规模生产的多智能体模型。该模型在数据层面提供了仿真工具与操作计划系统的集成。结论。研究中提出的模型允许小规模生产计划工作数量并确定生产瓶颈。结合使用模拟和规划工具,确保企业资源管理,同时考虑到系统的动态变化。
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引用次数: 0
Formalism of Writing Out of Manipulators Dynamic Equation 机械臂动力学方程的书写形式
A. I. Telegin
The problem of cumbersome equations of dynamics for manipulation systems of industrial robots (manipulators) with translational and rotational joints is solved. A new formalism for writing out the equations of dynamics of manipulators by using of guide cosines is proposed. Examples of writing out equations of dynamics of manipulators with guid cosines are given. The equations of dynamics in relative angles of rotation of bodies are obtained with the help of these guide cosines by applying their properties. These manipulators have from three to six degrees of freedom. In their equations of dynamics the geometric, kinematic, static and inertial parameters are explicit. The multipliers for accelerations and products of velocities are optimal in the sense of the minimum of arithmetic operations (additions and multiplications) that are needed for their calculations in the written out equations of dynamics. JS-code and method for verification of the equations of dynamics of manipulators written in analytical form are proposed. The problem is that when the equations are written out manually, errors and oversights in the intermediate entries and the final result are possible. Therefore it is necessary to check the results of writing out for absence of errors, i.e. to perform verification of formulas for calculation of constitutive equations of dynamics. To do this, we can use software designed to calculate the generalized driving forces of manipulators, i.e. to solve the first problem of dynamics. Such software is offered as a web-application, in which JS-function is used for verification of the equations of dynamics of manipulators. The method of verification of formulas to calculate the generalized forces of gravity and multipliers (coefficients) for generalized accelerations and products of generalized velocities in the equations of dynamics is developed. An example of verification of the equations of dynamics of the universal manipulator with six degrees of freedom in space is given. Aim. The aim of research is to develop a formalism for writing out the analytical form of the equations of the manipulators’ dynamics in the guide cosines of the principal axes of the coupled body coordinate systems, whose coefficients contain the minimum number of arithmetic operations. Research methods. The methods of research refer to vector and analytic mechanics of absolutely solid systems, to vector algebra, and to systems analysis and programming in scripting languages. Results. The results contain two proved statements, in which there are the formulas and the methodology that allow us to write manually the equations of dynamics of manipulators with three and six degrees of mobility both in guiding cosines and in generalized coordinates. In both cases it is impossible to simplify the obtained equations. Conclusion. The offered analytical types of the equations of dynamics occupy several lines. By the known classical formalisms (Lagrange, Appel, Nielsen, Newton-Eul
解决了具有平移关节和旋转关节的工业机器人操纵系统动力学方程繁琐的问题。提出了一种利用引导余弦来表示机械臂动力学方程的新形式。给出了带引导余弦的机械臂动力学方程的解法。利用这些导余弦的性质,得到了物体相对旋转角的动力学方程。这些机械手有三到六个自由度。在它们的动力学方程中,几何、运动学、静力和惯性参数是明确的。加速度和速度乘积的乘数是最优的,因为在写出的动力学方程中,计算所需的算术运算(加法和乘法)最少。提出了以解析形式书写的机械臂动力学方程的js代码和验证方法。问题是,当手工写出方程式时,中间条目和最终结果中的错误和疏忽是可能的。因此,有必要对写出的结果进行检查,以确保没有错误,即对动力学本构方程的计算公式进行验证。为此,我们可以使用设计用于计算机械手广义驱动力的软件,即解决动力学的第一个问题。该软件以web应用程序的形式提供,其中使用js函数对机械手的动力学方程进行验证。给出了动力学方程中广义重力、广义加速度和广义速度积的乘数(系数)计算公式的验证方法。给出了空间六自由度万能机械臂动力学方程的验证实例。的目标。研究的目的是建立一种在耦合体坐标系的主轴导余弦下的机械臂动力学方程的解析形式,其系数包含最小的算术运算次数。研究方法。研究方法涉及绝对固体系统的矢量和分析力学,矢量代数,系统分析和脚本语言编程。结果。结果包含两个证明陈述,其中包含公式和方法,使我们能够在引导余弦和广义坐标下手动编写具有三自由度和六自由度机械手的动力学方程。在这两种情况下,都不可能化简得到的方程。结论。所提供的动力学方程的解析类型占用了好几行。通过已知的经典形式(拉格朗日、阿佩尔、尼尔森、牛顿-欧拉等),由于在它们的实现中大量复杂的数学运算和所得公式的繁琐,实际上是不可能得到类似的结果的。
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引用次数: 1
Possibi¬lities of Using Neural Network Incremental Learning 使用神经网络增量学习的可能性
E. S. Abramova, A. Orlov, K. Makarov
The present time is characterized by unprecedented growth in the volume of information flows. Information processing underlies the solution of many practical problems. The intelligent infor-mation systems applications range is extremely extensive: from managing continuous technological processes in real-time to solving commercial and administrative problems. Intelligent information systems should have such a main property, as the ability to quickly process dynamical incoming da-ta in real-time. Also, intelligent information systems should be extracting knowledge from previously solved problems. Incremental neural network training has become one of the topical issues in ma-chine learning in recent years. Compared to traditional machine learning, incremental learning al-lows assimilating new knowledge that comes in gradually and preserving old knowledge gained from previous tasks. Such training should be useful in intelligent systems where data flows dynamically. Aim. Consider the concepts, problems, and methods of incremental neural network training, as well as assess the possibility of using it in intelligent systems development. Materials and methods. The idea of incremental learning, obtained in the analysis of a person's learning during his life, is consid-ered. The terms used in the literature to describe incremental learning are presented. The obstacles that arise in achieving the goal of incremental learning are described. A description of three scenari-os of incremental learning, among which class-incremental learning is distinguished, is given. An analysis of the methods of incremental learning, grouped into a family of techniques by the solution of the catastrophic forgetting problem, is given. The possibilities offered by incremental learning ver-sus traditional machine learning are presented. Results. The article attempts to assess the current state and the possibility of using incremental neural network learning, to identify differences from traditional machine learning. Conclusion. Incremental learning is useful for future intelligent sys-tems, as it allows to maintain existing knowledge in the process of updating, avoid learning from scratch, and dynamically adjust the model's ability to learn according to new data available.
当今时代的特点是信息流的数量空前增长。信息处理是解决许多实际问题的基础。智能信息系统的应用范围非常广泛:从实时管理连续的技术过程到解决商业和管理问题。智能信息系统应该具有这样一个主要特性,即能够快速实时地处理动态传入的数据。此外,智能信息系统应该从以前解决的问题中提取知识。近年来,增量神经网络训练已成为机器学习领域的热点问题之一。与传统的机器学习相比,增量学习可以吸收逐渐进入的新知识,并保留从以前的任务中获得的旧知识。这种训练在数据动态流动的智能系统中应该是有用的。的目标。考虑增量神经网络训练的概念、问题和方法,并评估在智能系统开发中使用它的可能性。材料和方法。增量学习的思想是在分析一个人一生的学习过程中得到的。提出了文献中用于描述增量学习的术语。描述了在实现增量学习目标时出现的障碍。对增量学习的三种场景进行了描述,其中区分了类增量学习。通过解决灾难性遗忘问题,对增量学习方法进行了分析,并将其归为一系列技术。介绍了增量学习与传统机器学习相比所提供的可能性。结果。本文试图评估使用增量神经网络学习的现状和可能性,以识别与传统机器学习的区别。结论。增量学习对于未来的智能系统非常有用,因为它允许在更新过程中维护现有知识,避免从头开始学习,并根据可用的新数据动态调整模型的学习能力。
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引用次数: 0
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Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control & Radioelectronics
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