Journal of Numerical and Applied Mathematics最新文献_第4页

GENERAL SOLUTION OF TERMINAL CONTROL PROBLEM OF A LINEAR DISCRETE SYSTEM 线性离散系统终端控制问题的一般解

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Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.10

V. Matvienko, V. V. Pichkur, D. Cherniy, E. O. Demkivskiy

引用次数: 0

RICHARDS–KLUTE EQUATION: THE STATE OF THE ART 理查兹-克鲁特方程:最先进的

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Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.1.02

V. A. Kolesnykov

引用次数: 1

DIFFERENT APPROACHES IN THE CONSTRUCTIVE MARTINGALE REPRESENTATION OF BROWNIAN FUNCTIONALS 布朗泛函构造鞅表示的不同方法

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Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.1.03

E. Namgalauri, O. Purtukhia

引用次数: 0

MULTITHREADING PERFORMANCE SIMULATING FRACTIONAL-ORDER MOISTURE TRANSPORT ON AMD EPYC 模拟微球上分数阶水分输送的多线程性能

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Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.20

Vsevolod Bohaienko, A. Gladky

引用次数: 3

NONLINEAR PROBLEM OF INTERFACE CRACK BEHAVIOR UNDER THE ACTION OF SHEARING WAVE 剪切波作用下界面裂纹行为的非线性问题

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Journal of Numerical and Applied Mathematics Pub Date : 2021-07-21 DOI: 10.17721/2706-9699.2021.1.21

A. V. Menshykov, V. Menshykov, O. Kladova

{"title":"NONLINEAR PROBLEM OF INTERFACE CRACK BEHAVIOR UNDER THE ACTION OF SHEARING WAVE","authors":"A. V. Menshykov, V. Menshykov, O. Kladova","doi":"10.17721/2706-9699.2021.1.21","DOIUrl":"https://doi.org/10.17721/2706-9699.2021.1.21","url":null,"abstract":"Solution of the problem for an interface crack under the action of a harmonic shear wave is presented. It is shown that the same problems solutions of other authors were performed without taking into account the crack faces contact, and results obtained indicate the interpenetration of the faces, that is not possible. Thus, it is proved that the problem is nonlinear because the positions and sizes of the contact zone are unknown and variable during the loading. The solution is obtained by the boundary integral equations method taking into account the contact interaction of the crack faces: using the Somigliana dynamic identity and the boundary equations arising from them, the transition from the two-dimensional problem to the equivalent problem at the boundaries of the domain is realized; the vector components in the boundary integral equations are presented by Fourier series, to prevent the interpenetration of the crack faces and the emergence of tensile forces in the contact zone the Signorini unilateral constraints are involved. The numerical solution is performed by the method of boundary elements with constant approximation of the problem parameters on an element. Numerical researches of the shear wave frequency influence onto the crack faces and adjoining surface displacements, opening and extent of crack faces contact zone are carried out. The quantitative difference between the maximum tangential and normal components of adhesion line and the crack faces displacements is shown. It is shown that the position and length of the contact area change during the load period, and the magnitudes of the contact forces vary along the crack length.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"67 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90608782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

PRACTICAL EFFICIENCY OF EQR METHOD FOR SOLVING GLOBAL OPTIMIZATION PROBLEMS 求解全局优化问题的eqr方法的实用效率

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Journal of Numerical and Applied Mathematics Pub Date : 2021-01-01 DOI: 10.17721/2706-9699.2021.2.05

A. Kosolap

引用次数: 0

TRAINING OF ARTIFICIAL NEURAL NETWORK 人工神经网络的训练

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Journal of Numerical and Applied Mathematics Pub Date : 2021-01-01 DOI: 10.17721/2706-9699.2021.1.14

Shota Rustaveli, state university, Geórgia, E-mail ibraimd

引用次数: 1

DIVIDING OF THE FULL REACTION OF THE ADDITIONAL SUPPORT CONTACTING WITH THE PLATE INTO VISCOUS, ELASTIC AND INERTIAL COMPONENTS 将与板接触的附加支承的全反力分为粘性、弹性和惯性分量

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Journal of Numerical and Applied Mathematics Pub Date : 2021-01-01 DOI: 10.17721/2706-9699.2021.1.10

Automobile and, Highway University, E-mail voropay.

{"title":"DIVIDING OF THE FULL REACTION OF THE ADDITIONAL SUPPORT CONTACTING WITH THE PLATE INTO VISCOUS, ELASTIC AND INERTIAL COMPONENTS","authors":"Automobile and, Highway University, E-mail voropay.","doi":"10.17721/2706-9699.2021.1.10","DOIUrl":"https://doi.org/10.17721/2706-9699.2021.1.10","url":null,"abstract":"An original approach for dividing the reaction of a viscoelastic support into inertial, viscous and elastic components is proposed to assess the effect of various characteristics of additional supports on the deformed state of structural elements. The effectiveness of the proposed approach was tested for a mechanical system consisting of a rectangular isotropic plate of medium thickness, hinged-supported along the contour, and an additional concentrated viscoelastic support, taking into account its mass-inertial characteristics. The deformation of the plate is considered within the framework of Timoshenko's hypotheses. Vibrations of the plate are caused by the applying of an external non-stationary loading. The influence of the additional support is modeled by three independent non-stationary concentrated forces. The paper presents the main analytical relations for obtaining a system of three integral Volterra equations, which is solved numerically and analytically. After performing discretization in time, the system of integral equations is transformed into a system of matrix equations. The resulting system of matrix equations is solved using the generalized Cramer algorithm for block matrices and the Tikhonov regularization method. We point out that the material described is applicable to other objects that have additional supports (beams, plates and shells, which can have different supports along the contour and different shapes in plan). The results of a numerical experiment to determine the components (viscous, elastic and inertial) of the full reaction to the plate, arising due to the presence of an additional support, are presented. The reliability of the proposed approach is confirmed by the coincidence of the results of comparing the reactions found by two methods: numerical-analytical for one complete reaction, as in work [1], and numerical for the full reaction (obtained by adding three components).","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"36 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80578381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

MODELING OF THERMAL INSTALLATIONS BASED ON THERMODYNAMIC APPROACHES 基于热力学方法的热装置建模

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Journal of Numerical and Applied Mathematics Pub Date : 2021-01-01 DOI: 10.17721/2706-9699.2021.1.06

V. Voloshchuk, E. Nikiforovich

{"title":"MODELING OF THERMAL INSTALLATIONS BASED ON THERMODYNAMIC APPROACHES","authors":"V. Voloshchuk, E. Nikiforovich","doi":"10.17721/2706-9699.2021.1.06","DOIUrl":"https://doi.org/10.17721/2706-9699.2021.1.06","url":null,"abstract":"The most widespread approaches to the study of thermal systems involve the iterative implementation of the following steps: thermodynamics, heat and mass transfer, hydrodynamics, economics and ecology. Such methodology cannot combine economic, environmental and thermodynamic aspects from the beginning of the analysis. It does not provide information concerning not only external, but also internal, caused by thermodynamic inefficiencies of system components, impact factors on economic and ecological characteristics. Modeling methods based on the combined application of the First and Second Laws of Thermodynamics (methods of entropy and exergetic analysis), and their combination with economic and environmental assessment make it possible to identify the location, magnitude, causes, costs and environmental impact of thermodynamic inefficiencies in an energy conversion system. The paper proposes the improvement of methods for modeling thermal systems on the base of exergy analysis. It has been shown that combining exergetic, economic and ecological assessment can significantly simplify tasks of finding parameters and structure of the studied system. Examples of implementation of such studies have been presented.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"2 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88729903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

REGULARIZATION OF SOME PERTURBED INTEGRAL OPERATORS IN THE SPACES Lp 空间Lp中一些微扰积分算子的正则化

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Journal of Numerical and Applied Mathematics Pub Date : 2021-01-01 DOI: 10.17721/2706-9699.2021.1.22

V. Neagu

引用次数: 0