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Recuperative Heat Exchanger-Utilizer Thermodynamic Modes in Low Capacity Supply-and-Exhaust Ventilation Unit 低容量供排气通风机组的热回收式换热器-利用器热力学模式
Pub Date : 2022-08-03 DOI: 10.21122/2227-1031-2022-21-4-297-313
V. A. Zafatayeu, T. I. Karaliova
The increase in the thermal protection level of the existing buildings enclosing structures, due to the need to comply with the current norms of building heat engineering requirements, leads to increasing in the part of heat losses in the thermal balance of a building due to infiltration and exhaust ventilation operation. After exhaustion of the possibilities for the implementation of technical measures to reduce energy costs by changing in volumetric planning solutions and insulating building envelopes further decreasing heat consumption level should be associated with the use of the secondary and renewable resources potential. The paper presents the results of assessing the technical and economic feasibility of using the exhaust air thermal potential for heating the supply air in the forced supply-and-exhaust ventilation system of a building taking as a low-capacity unit as an example. For a counterflow air-to-air recuperative type heat utilizer finned with ribbed heat pipes in the form of a plurality of continuous sheets, the influence of changes in the physical properties of the exhaust air during the phase transition of the water vapor contained in it into a liquid state on the heat exchanger-utilizer performance and characteristics of its efficiency has been established. The conditions of heat exchange are determined (without condensate, with condensate in the part of the heat exchanger-utilizer, with condensate in the entire heat exchanger-utilizer and with the risk of icing) in the supply air temperature range from (–26) to (+8) °C for three variants of its operation with a balance of the nominal amount of exhaust and supply air and with two variants of imbalance. Variants with imbalances have been investigated in order to find possible combinations of supply and exhaust air temperatures, at which there would be no phase transition of water vapor in the exhaust air flow to the liquid state in the entire volume of the heat utilizer, which would eliminate the need for measures to collect and remove condensate and preventing it from freezing.
现有建筑围护结构的热防护等级的提高,由于需要符合现行建筑热工程规范的要求,导致建筑热平衡中由于渗透和排风运行造成的热损失部分增加。在用尽了通过改变容积规划解决方案和隔热建筑围护结构来降低能源成本的技术措施的可能性之后,进一步降低热消耗水平应该与使用二次和可再生资源潜力有关。本文以小容量机组为例,介绍了利用排风热势对建筑物强制排风系统送风进行加热的技术经济可行性评价结果。针对一种以多片连续板为翅片的肋状热管为翅片的逆流式空气-空气回热式热器,建立了排风中所含水蒸气相变为液态时,排风物理性质变化对换热器-热器性能及其效率特性的影响。在(-26)至(+8)°C的送风温度范围内确定热交换条件(无冷凝水,换热器-利用器部分有冷凝水,整个换热器-利用器有冷凝水,并有结冰的风险),用于其运行的三种变体,其排气和送风标称量的平衡以及两种不平衡。为了找到供气和排气温度的可能组合,已经研究了不平衡的变体,在这种组合下,在热利用器的整个体积中,排气流中的水蒸气不会相变到液态,这将消除收集和去除冷凝水并防止其冻结的措施的需要。
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引用次数: 0
Reinforced Concrete Posts Made by Long-Line Formwork-Free Shaping for 0.4–10 kV Overhead Line Supports 0.4 - 10kv架空线支撑长线无模成型钢筋混凝土桩
Pub Date : 2022-08-03 DOI: 10.21122/2227-1031-2022-21-4-314-322
P. Mirzaev, Z. P. Shamansurova
When using the technology of long-line formwork-free shaping for the manufacture of reinforced concrete structures, industrial engineering can be conducted in accordance with the requirements of modern regulatory documents. This allows projects to be developed individually, and production lines can be readjusted in a short time in accordance with emerging needs. In this regard, the possibility of using reinforced concrete posts produced by the technology of long-line formwork-free shaping for 0.4-10 kV overhead line supports is being considered. The designs of such supports are developed on the standard basis of the product range. The problem of establishing the minimum number (two) of cross-sections with different geometric dimensions for all brands of the offered posts is solved, subject to the operational requirements and technological specifications of production. The cross-sections of the proposed posts represent trapeziums, with the dimensions of the upper bases smaller than the dimensions of the lower bases in order to maintain the shape of the freshly formed concrete body of the posts made using long-line formwork-free shaping technology. For posts up to 11.0 m long, a solid cross-section with trapezoid edges is proposed: h = 245 mm; b = 150 mm (an upper base); b1 = 180 mm (a lower base). In the middle part of the cross-section of posts with a length of 11.0 to 16.4 m there is a cavity along the entire length of the posts. Cross-sectional dimensions of such posts are h = 300 mm; b = 205 mm, b1 = 235 mm. Long-line formwork-free shaping technology provides for the reinforcement of prestressed structures with high-strength wire or rope reinforcement. The proposed posts are rein-forced with 5Вр1400 rods, therefore, during their operation, the formation of cracks in the tensile zone of concrete is not fore-seen. The rods are located in groups at all corner sections along the cross-section of the post with an equal number of rods in each group, taking into account the technological features of the long-line formwork-free shaping. For the proposed cross-section of hollow posts, produced by long-line formwork-free shaping for 0.4–10 kV overhead line supports, a patent for autility model has been obtained from the Agency for Intellectual Property of Uzbekistan. Qualitative characteristics of the posts for overhead line supports are low material consumption, versatility, manufacturability, innovation, which lies in the fact that their implementation is associated with the design, manufacture and testing of experimental products for use by specific consumers, i. e. with the commercialization.
采用长线无模板成型技术制造钢筋混凝土结构时,可按现代规范性文件要求进行工业工程。这使得项目可以单独开发,生产线可以根据新出现的需求在短时间内重新调整。在这方面,正在考虑在0.4-10千伏架空线支架上使用长线无模板成型技术生产的钢筋混凝土桩的可能性。这种支架的设计是在产品范围的标准基础上开发的。根据生产的操作要求和工艺规范,解决了为所有品牌提供的岗位确定不同几何尺寸截面的最小数量(两个)的问题。提议的柱子的横截面代表梯形,上部基座的尺寸小于下部基座的尺寸,以保持新形成的混凝土主体的形状,这些柱子采用长线无模板成型技术。对于长达11.0 m的柱子,建议采用具有梯形边缘的实体截面:h = 245 mm;B = 150mm(上基);B1 = 180mm(低底座)。在长度为11.0 ~ 16.4 m的柱的横截面中部沿柱的整个长度设置空腔。该桩的截面尺寸为h = 300 mm;B = 205 mm, b1 = 235 mm。长线无模板成型技术为预应力结构的加固提供了高强度的钢丝或绳索加固。拟议的柱子是用5Вр1400杆加固的,因此,在它们的操作过程中,混凝土拉伸区裂缝的形成是不可预见的。考虑到长线无模板成型的技术特点,杆沿柱的横截面在所有角落部分成组放置,每组中杆的数量相等。拟建的0.4 - 10kv架空线支架空心桩截面采用长线无模板成型制作,已获得乌兹别克斯坦知识产权局实用新型专利。架空线路支撑柱的质量特点是材料消耗低、通用性强、可制造性强、创新性强,这是因为其实施与特定消费者使用的实验产品的设计、制造和测试有关,即与商业化有关。
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引用次数: 0
Technology for Production of MSF-fuel – Direction Providing Transition to Circular Economy msf燃料生产技术——向循环经济过渡的方向
Pub Date : 2022-08-03 DOI: 10.21122/2227-1031-2022-21-4-340-348
B. Khroustalev, A. N. Pekhota, R. N. Vostrova, E. A. Pekhota
The paper presents the technology of multi-component briquetting of solid fuel (MSF-fuel) developed by the authors, which makes it possible to reduce economic losses from the non-use of combustible waste from industrial and municipal human activities. The issues of energy and resource saving, rational use of natural and secondary resources in accordance with the National Strategy for Sustainable Development of the Republic for the period up to 2035 are considered in the paper. The concept, structure and principles of the circular economy are analyzed. The paper provides characteristics of the main areas of use and processing of waste that have not found application in traditional technologies and energy. Some aspects of the conducted research on the production of multicomponent solid fuels are presented in the paper. The technology of briquetting wet mixtures with the addition of various binders, including combustible waste, is described, taking into ac-count the factors that affect the performance of the briquetting plant and the density of the fuel. Various ratios of the components of briquetting fuel have been analyzed and the compositions are determined, at which the best production, consumer and environmental indicators are analyzed. The paper studies the energy and physicochemical characteristics of the produced multicomponent fuel. Algorithms for selecting fuel components have been developed. The results obtained can be used to solve problems of rational use of combustible industrial waste by producing a multicomponent solid fuel that meets the established energy and environmental requirements.
本文介绍了作者开发的固体燃料多组分压块技术,该技术可以减少工业和城市人类活动产生的可燃废物的不利用所造成的经济损失。根据《中华人民共和国至2035年国家可持续发展战略》,对节约能源和资源、合理利用自然资源和二次资源等问题进行了研究。分析了循环经济的概念、结构和原理。本文介绍了尚未在传统技术和能源中得到应用的废物利用和处理的主要领域的特点。本文介绍了多组分固体燃料生产研究的几个方面。考虑到影响压块装置性能和燃料密度的因素,描述了添加各种粘结剂(包括可燃废物)的湿混合物的压块技术。分析了成型燃料各组分的不同配比,确定了其组成,分析了最佳的生产、消费和环境指标。本文研究了生产的多组分燃料的能量和物理化学特性。已经开发了选择燃料部件的算法。所得结果可用于解决合理利用可燃性工业废弃物的问题,生产出满足既定能源和环境要求的多组分固体燃料。
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引用次数: 0
Improvement of Calculation Technique for Flexible Orthotropic Plates on Elastic Base. Part 2. Calculation Results 弹性基上挠性正交各向异性板计算技术的改进。第2部分。计算结果
Pub Date : 2022-08-03 DOI: 10.21122/2227-1031-2022-21-4-290-296
O. Kozunova
The proposed paper is a continuation of the author's theoretical work presented earlier in the development of the theory and methodology for calculating flexible orthotropic reinforced concrete plates on an elastic foundation, taking into account the physical nonlinearity of the plate material. The paper presents numerical results of elastic and nonlinear calculations of an isolated rectangular orthotropic plate on an elastic foundation, modeled by an elastic homogeneous isotropic layer rigidly connected to a non-deformable foundation under the action of an external static load, taking into account the own weight of the reinforced concrete plate. The change in its stiffness at the time of cracking and further active opening of cracks has been taken into account in the calculation of the structure under study. The nonlinear calculation of the studied structure takes into account the change in its rigidity at the time of cracking and further active crack opening. The calculation of a flexible orthotropic plate on an elastic foundation in a nonlinear formulation is performed iteratively by the method of B. N. Zhemochkin. A mixed method of structural mechanics has been used to determine the coefficients of canonical equations and free terms. At the first iteration, the reinforced concrete plate is calculated as linearly elastic, homogeneous, and orthotropic; at the subsequent ones – as linearly elastic, inhomogeneous, and orthotropic at each Zhemochkin site. Camber plates with a clamped normal in the primary system of mixed method due to the action of a concentrated force are determined by the Ritz method when the deflections were represented as a power polynomial in a new original expression that has been proposed for the first time in the Part 1 of the paper. The solution algorithm has been implemented using the Wolfram Mathematica 11.3 computer program. Numerical and graphical results of elastic and non-linear calculations of sediment concrete road plate, contact stresses and bending moment diagrams on the plate are presented in the paper.
本文是作者在弹性基础上计算弹性正交各向异性钢筋混凝土板的理论和方法发展中提出的理论工作的延续,考虑到板材料的物理非线性。本文给出了考虑钢筋混凝土板自重的弹性基础上的矩形正交各向异性隔震板的弹性和非线性计算的数值结果。弹性基础采用弹性均匀各向同性层刚性连接在非变形基础上。在研究结构的计算中,考虑了开裂时的刚度变化和进一步主动张开的裂缝。研究结构的非线性计算考虑了开裂时的刚度变化和进一步的主动开裂。采用Zhemochkin的方法,对弹性地基上挠性正交各向异性板的非线性公式进行了迭代计算。本文采用结构力学的混合方法来确定典型方程和自由项的系数。第一次迭代时,钢筋混凝土板按线弹性、均质、正交各向异性计算;在随后的几个-在每个热莫契金位点线性弹性,不均匀和正交异性。本文第1部分首次提出了一种新的原始表达式,将挠度表示为幂多项式,用Ritz法确定了混合法初级体系中由于集中力作用而夹持法向的曲面板。求解算法采用Wolfram Mathematica 11.3计算机程序实现。本文给出了泥沙混凝土路板弹性和非线性计算的数值和图形结果,以及路板上的接触应力和弯矩图。
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引用次数: 1
Durability of Concrete under Combined Impact Environment and Mechanical Load: Analysis of Experimental Studies 冲击环境与机械荷载联合作用下混凝土耐久性试验研究分析
Pub Date : 2022-08-03 DOI: 10.21122/2227-1031-2022-21-4-269-280
S. Leonovich, E. E. Shalyi, D. Litvinovskiy, A. V. Stepanova
Today, there are several methods for predicting the durability of reinforced concrete structures. In most cases, one of the dominant destruction processes is taken into account – either carbonization or chloride penetration. Experimental results and field observations show that this is an unrealistic approach. Therefore, it is necessary to develop a method for determining the durability of concrete under combined impacts, i. e. with the penetration of chlorides into it and mechanical load. The paper describes in detail an experimental method for studying the effect of mechanical load on the penetration of chlorides into the pore space of cement-based materials. A test method is presented that makes it possible to determine realistic diffusion coefficients of chloride ions in concrete under compressive or tensile stress. As a result of the experiments carried out, it has been determined that the combination of mechanical loads and environmental influences can be much more significant than just environmental influence without the influence of mechanical loading. In fact, the service life of reinforced concrete structures depends on many possible combinations of mechanical loads and environmental influences, including freeze-thaw cycles. Thus, cracks formed during freeze-thaw cycling should be taken into account in tests of combined environmental and mechanical stress in order to better understand and systematically describe the effect of such exposure on the durability of concrete. For reliable prediction of the service life of reinforced concrete structures, it is also necessary to take into account the influence of the applied cyclic stress.
目前,有几种预测钢筋混凝土结构耐久性的方法。在大多数情况下,考虑到一种主要的破坏过程-碳化或氯化物渗透。实验结果和现场观测表明,这是一种不切实际的方法。因此,有必要开发一种方法来确定混凝土在综合冲击下的耐久性,即氯化物渗入混凝土和机械载荷。本文详细介绍了一种研究机械载荷对氯化物渗透水泥基材料孔空间影响的实验方法。提出了一种试验方法,使测定混凝土中氯离子在压应力或拉应力作用下的实际扩散系数成为可能。进行的实验结果表明,机械载荷和环境影响的组合可能比没有机械载荷影响的环境影响要显著得多。事实上,钢筋混凝土结构的使用寿命取决于许多可能的机械载荷和环境影响的组合,包括冻融循环。因此,为了更好地理解和系统地描述这种暴露对混凝土耐久性的影响,冻融循环过程中形成的裂缝应在环境和机械联合应力试验中加以考虑。为了可靠地预测钢筋混凝土结构的使用寿命,还需要考虑外加循环应力的影响。
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引用次数: 0
Improving the Efficiency of Information Application in the Organization of Passenger Transportation in Cities 提高城市客运组织信息化应用效率
Pub Date : 2022-08-03 DOI: 10.21122/2227-1031-2022-21-4-323-330
D. Kapskiy, S. S. Semchenkov, O. Larin
The problem of organizing passenger transportation in cities is becoming more and more important every day. The situation is aggravated by the fact that the spontaneous growth of motorization leads to a drop in the capacity of streets, environmental pollution, destruction of ecosystems, and an increase in social tension. It became obvious that the creation of cities convenient for life is impossible without a system of route passenger transport. And here, improvement of the quality of passenger transportation in cities by increasing the efficiency of using the information necessary to manage the transportation process is of particular relevance. There is a need to create a unified information space in the field of transportation, involving all participants in the process. This, in turn, will help to provide reliable information to users (passengers) of route passenger transport, increase its reliability and passengers' trust in it. An important role here is played by the information sup-port of the transportation management process with the choice of the correct model for collecting reliable information about the movement of route vehicles and its correct use, which will lead to an increase in the reliability of the route passenger transport, and the provision of open reliable information about the movement of route vehicles will contribute to increasing user confidence in route passenger transport and at the same time discipline carriers and operators.
组织城市旅客运输的问题日益重要。机动化的自发增长导致街道通行能力下降、环境污染、生态系统破坏和社会紧张局势加剧,这一事实使情况更加恶化。很明显,没有路线客运系统,就不可能创造便利生活的城市。在这里,通过提高使用必要信息来管理运输过程的效率来改善城市客运质量是特别相关的。有必要在运输领域建立一个统一的信息空间,使所有参与者都能参与这一进程。从而为航线客运的用户(乘客)提供可靠的信息,增加航线客运的可靠性和乘客对航线客运的信任度。其中重要的是运输管理过程的信息支持,通过选择正确的模型来收集路线车辆运动的可靠信息并正确使用,从而提高路线客运的可靠性。提供有关路线车辆移动的公开可靠信息将有助于提高用户对路线客运的信心,同时约束承运人和运营商。
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引用次数: 1
Development of Public Transport Fare Payment Systems in the Republic of Belarus 白俄罗斯共和国公共交通费用支付系统的发展
Pub Date : 2022-08-03 DOI: 10.21122/2227-1031-2022-21-4-349-356
K. V. Siniutsich
The Republic of Belarus uses traditional and modern systems of fare payment for public passenger transport. In the traditional system, paper tickets are used as proof of payment; such a system is common in all settlements of the country. Electronic tickets generated in mobile applications of various electronic systems, on physical media – contactless smart cards, as well as records of relevant transactions from bank card accounts are used in modern fare systems to confirm payment for a transport service. Both single trips and multiple travel tickets can be recorded in the form of an electronic ticket or an electronic entry on the contactless smart cards. The paper proposes measures aimed at increasing the level of payback of public passenger transport, analyzes the volume of passenger traffic for 2016–2020, the decisions of local authorities in force in the cities of Belarus that establish regulatory and cost indicators for fares in public passenger transport. The comparison of modern fare payment systems implemented in cities is carried out. TapXphone and T-PAY systems are recommended for distribution on public passenger transport in Belarusian cities on the basis of the comparison of the positive аnd negative aspects of the functioning of electronic fare collection systems from the position of a passenger and a carrier.
白俄罗斯共和国采用传统和现代的公共客运收费制度。在传统系统中,纸质票据被用作付款证明;这种制度在这个国家的所有定居点都很普遍。在各种电子系统的移动应用程序、非接触式智能卡等物理媒介上生成的电子车票,以及银行卡账户的相关交易记录,都被用于现代票价系统,以确认运输服务的付款。单程车票和多次车票均可在非接触式智能卡上以电子车票或电子入口的形式记录。本文提出了旨在提高公共客运回报水平的措施,分析了2016-2020年的客运量,白俄罗斯城市中有效的地方当局的决定,这些决定建立了公共客运票价的监管和成本指标。对各城市实施的现代车费支付制度进行了比较。根据从乘客和承运人的角度比较电子收费系统功能的积极方面和消极方面,建议在白俄罗斯城市的公共客运上推广TapXphone和T-PAY系统。
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引用次数: 0
Expert Component as Element of Content Strategy of Industrial Enterprise 专家成分:工业企业内容战略的要素
Pub Date : 2022-06-02 DOI: 10.21122/2227-1031-2022-21-3-257-264
V. A. Malaichuk
Internet marketing in the industrial market has a number of features and differs from that in the consumer market. The first is characterized by specialized and personalized approaches, as well as it must take into account the long cycle of the transaction, and the presence of a large number of decision makers. Marketers at industrial enterprises must have a range of knowledge about the market and industry trends, possess information about the organization of procurement processes and the operation of distribution channels, and be able to build a communication process with a certain type of customer. The paper presents methods for online promotion of industrial products and a study of the features of choosing of internet marketing tools for industrial enterprises. The main idea of the paper is to highlight the expert component for such enterprises as the main tool for communication with customers. To solve this problem, the internet marketing tools of an industrial enterprise has been considered and the expert component in its content strategy has been shown, approaches to the systematization of internet marketing tools have been studied. In the course of the study, general scientific methods have been used: analysis, synthesis, generalization. The result of the research is a model of product promotion in the logic of the industrial consumer's journey, which is based on the connection of the consumer's journey map with internet marketing tools.
工业市场的网络营销有许多特点,不同于消费市场的网络营销。第一种方法的特点是专业化和个性化的方法,并且必须考虑到交易的长周期和大量决策者的存在。工业企业的营销人员必须对市场和行业趋势有广泛的了解,掌握有关采购流程组织和分销渠道运作的信息,并能够与某一类客户建立沟通流程。本文提出了工业产品网络推广的方法,并对工业企业网络营销工具的选择特点进行了研究。本文的主要思想是突出专家成分,作为这类企业与客户沟通的主要工具。为了解决这一问题,本文考虑了某工业企业的网络营销工具,并展示了其内容策略中的专家成分,研究了网络营销工具系统化的途径。在研究过程中,采用了一般的科学方法:分析、综合、概括。研究的结果是基于消费者旅程图与网络营销工具的联系,建立了工业消费者旅程逻辑下的产品推广模型。
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引用次数: 0
About One Variational Problem, Leading to а Biharmonic Equation, and about the Approximate Solution of the Main Boundary Value Problem for this Equation 关于导致双调和方程的一个变分问题,以及该方程主要边值问题的近似解
Pub Date : 2022-06-02 DOI: 10.21122/2227-1031-2022-21-3-236-241
I. Meleshko, P. G. Lasy
. Many important questions in the theory of elasticity lead to a variational problem associated with a biharmonic equation and to the corresponding boundary value problems for such an equation. The paper considers the main boundary value problem for the biharmonic equation in the unit circle. This problem leads, for example, to the study of plate deflections in the case of kinematic boundary conditions, when the displacements and their derivatives depend on the circular coordinate. The exact solution of the considered boundary value problem is known. The desired biharmonic function can be represented explicitly in the unit circle by means of the Poisson integral. An approximate solution of this problem is sometimes foundusing difference schemes. To do this, a grid with cells of small diameter is thrown onto the circle, and at each grid node all partial derivatives of the problem are replaced by their finite-difference relations.  As a result, a system of linear algebraic equations arises for unknown approximate values of the biharmonic function, from which they are uniquely found. The disadvantage of this method is that the above system is not always easy to solve. In addition, we get the solution not at any point of the circle, but only at the nodes of the grid. For real calculations and numerical analysis of solutions to applied problems, the authors have constructed its unified analytical approximate representation on the basis of the known exact solution of the boundary value problem while using logarithms. The approximate formula has a simple form and can be easily implemented numerically. Uniform error estimates make it possible to perform calculations with a given accuracy. All coefficients of the quadrature formula for the Poisson integral are non-negative, which greatly simplifies the study of the approximate solution. An analysis of the quadrature sum for stability is carried out. An example of solving a boundary value problem is considered. 
. 弹性理论中的许多重要问题都涉及到与双调和方程相关的变分问题以及相应的双调和方程的边值问题。本文研究单位圆上双调和方程的主要边值问题。例如,这个问题导致在运动边界条件下研究板的挠度,当位移及其导数依赖于圆坐标时。所考虑的边值问题的精确解是已知的。期望的双调和函数可以用泊松积分在单位圆上显式表示。有时可以用差分格式找到这个问题的近似解。为此,在圆上放置一个带有小直径单元格的网格,并在每个网格节点上用它们的有限差分关系替换问题的所有偏导数。因此,对于双调和函数的未知近似值,产生了一个线性代数方程组,它们是唯一发现的。这种方法的缺点是,上述系统并不总是容易解决。此外,我们得到的解不是在圆的任何一点上,而是在网格的节点上。为了实际计算和数值分析应用问题的解,作者在已知的边值问题精确解的基础上,利用对数构造了统一的解析近似表示。近似公式形式简单,易于数值实现。统一的误差估计使以给定的精度进行计算成为可能。泊松积分的正交公式的所有系数都是非负的,这大大简化了近似解的研究。对稳定性的正交和进行了分析。给出了求解边值问题的一个实例。
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引用次数: 0
Application of Flow Theory Relations for Solving Problems of Steady-State Crack Growth 流动理论关系在求解稳态裂纹扩展问题中的应用
Pub Date : 2022-06-02 DOI: 10.21122/2227-1031-2022-21-3-229-235
M. Hundzina, O. V. Yuhnovskaya
To represent local displacement fields in the problem of the steady-state growth of a crack, which contains a plate of incompressible material, the strain intensity formula is used in the form of a polynomial of the second degree. The case of plane deformation for an elastoplastic material is considered. The solution is obtained by the method of asymptotic expansions. Numerical analysis is carried out for the first term of the expansion. The aim of the work is the process of obtaining analytical solutions to applied problems of the theory of plasticity: finding the components of stress and strain tensors. The paper considers a variant of the method of asymptotic expansions and its application for the problem of the distribution of the stress-strain state in an elastoplastic specimen with a crack. The method of asymptotic expansions has some advantages over the numerical approach in studying the stress-strain state in the vicinity of a crack. It allows to establish exact quantitative relationships between the radial component, the angle, and the components of the stress and strain tensor. Another advantage of this method is the possibility of compiling the mechanical characteristics of an object at the design stage. A system of differential equations has been developed that contains V0 and its derivatives up to the third order. An example of stress distribution in the vicinity of a crack tip in a steel sample, obtained in a computer system by a numerical method, is given. The deformation diagram has been constructed for the material steel 40. The research results can be used to construct stress and strain fields in the vicinity of a crack, as well as to predict the further direction of crack development.
为了表示含不可压缩材料板的裂纹稳态扩展问题中的局部位移场,采用了二阶多项式形式的应变强度公式。考虑弹塑性材料的平面变形情况。用渐近展开式的方法得到了解。对展开式的第一项进行了数值分析。这项工作的目的是获得塑性理论应用问题的解析解的过程:找到应力和应变张量的分量。本文研究了渐近展开方法的一种变体及其在含裂纹弹塑性试样应力-应变状态分布问题中的应用。在研究裂纹附近的应力-应变状态时,渐近展开法比数值方法有一些优点。它允许在径向分量、角度以及应力和应变张量的分量之间建立精确的定量关系。这种方法的另一个优点是可以在设计阶段编制对象的机械特性。已经建立了一个包含V0及其三阶导数的微分方程组。本文给出了用数值方法在计算机系统中得到的钢试样裂纹尖端附近应力分布的实例。建立了钢材40的变形图。研究结果可用于构建裂纹附近的应力场和应变场,并预测裂纹的进一步发展方向。
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