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ON THE QHASI CLASS AND ITS EXTENSION TO SOME GAUSSIAN SHEETS 关于qhasi类及其在若干高斯表上的推广
Q4 Engineering Pub Date : 2022-09-27 DOI: 10.22337/2587-9618-2022-18-3-54-64
C. El-Nouty, D. Filatova
Introduced in 2018 the generalized bifractional Brownian motion is considered as an element of the quasi-helix with approximately stationary increment class of real centered Gaussian processes conditioning by parameters. This paper proves that the generalized bifractional Brownian motion is an element of the above mentioned class with no condition on parameters. The quasi-helix with approximately stationary increment class of real centered Gaussian processes is extended to two-dimensional processes as the fractional Brownian sheet, the sub-fractional Brownian sheet, and the bifractional Brownian sheet. This generalized presentation of the class of stochastic processes is used to augment the training samples for generative adversarial networks in computer vision problem.
2018年引入的广义双分数布朗运动被认为是准螺旋的一个元素,具有由参数调节的实中心高斯过程的近似平稳增量类。本文证明了广义双分数布朗运动是上述一类不带参数条件的元。将实中心高斯过程的近似平稳增量类拟螺旋推广到二维过程,即分数布朗片、次分数布朗片和双分数布朗片。这类随机过程的广义表示用于增强计算机视觉问题中生成对抗网络的训练样本。
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引用次数: 0
ANALYSIS OF THE FILTRATION PROBLEM BY BITWISE SEARCH METHOD 位搜索法过滤问题的分析
Q4 Engineering Pub Date : 2022-09-27 DOI: 10.22337/2587-9618-2022-18-3-86-94
L. Kuzmina, Y. Osipov, M. Astakhov
During the construction of ground and underground structures, filtration of a liquid grout in loose soil makes it possible to strengthen the foundation and create underground waterproof partitions. A one-dimensional problem of filtering a bidisperse suspension in a homogeneous porous medium with size-exclusion particle capture mechanism is considered. The article is devoted to the calculation of the exact solution of the problem given as the upper limit of the integral with a singularity. The proposed bitwise search method for calculating integrals makes it possible to smooth out fluctuations of the solution near the singularity. Partial and total retention profiles are analyzed.
在地面和地下结构的施工过程中,液体浆液在松散土壤中的过滤可以加强基础并创建地下防水隔板。考虑了具有粒径不相容颗粒捕获机制的均匀多孔介质中双分散悬浮液的一维过滤问题。本文讨论了作为带奇点积分上限的问题的精确解的计算。所提出的计算积分的逐位搜索方法可以平滑解在奇点附近的波动。分析了部分保留和全部保留剖面。
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引用次数: 1
СONTROL OF A NONLOCAL IN TIME FINITE ELEMENT MODEL OF THE DYNAMIC BEHAVIOR OF A COMPOSITE BEAM BASED ON THE RESULTS OF A NUMERICAL EXPERIMENT 本文基于数值实验结果建立了复合梁动力特性的非局部时间有限元模型Сontrol
Q4 Engineering Pub Date : 2022-09-27 DOI: 10.22337/2587-9618-2022-18-3-78-85
V. Sidorov, Elena Detina, E. Badina
The article presents numerical methods for controlling the parameters of temporal nonlocality of computer models of rod structures made of composite materials. The finite element method is the most widely used numerical method for solving practical problems of the analysis of mechanical systems. A nonlocal in time internal damping model is integrated into the algorithm of this method. The one-dimensional model of the Euler-Bernoulli beam is presented in the article. The equilibrium equation of a moving mechanical system is solved numerically using an implicit scheme. In the article the damping matrix obtained from the condition of stationarity of the total deformation energy was used. The article presents the study of non-local in time damping model properties. The model is integrated into the finite element method. The non-local model is algorithmized and programmed in the MATLAB software package.
本文提出了控制复合材料棒材结构计算机模型中时间非定域性参数的数值方法。有限元法是解决机械系统分析实际问题中应用最广泛的数值方法。该方法在算法中引入了非局域内阻尼模型。本文给出了欧拉-伯努利梁的一维模型。采用隐式格式对运动机械系统的平衡方程进行了数值求解。本文采用了由总变形能平稳条件得到的阻尼矩阵。本文研究了非局部时间阻尼模型的性质。该模型与有限元法相结合。在MATLAB软件包中对非局部模型进行了算法化和编程。
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引用次数: 0
SIMPLIFIED MODEL FOR DETERMINING THE STRESS-STRAIN STATE IN MASSIVE MONOLITHIC FOUNDATION SLABS DURING CONSTRUCTION 大型单片基础施工过程中应力-应变状态的简化模型
Q4 Engineering Pub Date : 2022-09-27 DOI: 10.22337/2587-9618-2022-18-3-126-136
A. Chepurnenko, G. Nesvetaev, Yuliya Koryanova, B. Yazyev
The article proposes the simplified method for determining stresses in massive monolithic foundation slabs arising from the heat release of concrete during the hardening process. The proposed technique makes it possible to reduce a three-dimensional problem to a one-dimensional one based on the features of the distribution of stresses and strains in the structures under consideration, identified during finite element modeling in a three-dimensional setting. The resulting resolving equations take into account the creep and shrinkage of concrete, the coefficient of reinforcement of the structure. The strength and deformation characteristics of concrete are assumed as functions of the degree of maturity of the concrete, which in turn is determined by the time and temperature of curing. Approbation of the developed model is carried out by comparison with the calculation in a three-dimensional setting in the ANSYS software package. The influence of creep and contraction shrinkage of concrete, the degree of concrete maturity and the coefficient of reinforcement on the stress-strain state of structures is investigated.
本文提出了确定混凝土在硬化过程中释放热量产生的大体积单片基础板应力的简化方法。所提出的技术使得基于所考虑的结构中应力和应变分布的特征将三维问题简化为一维问题成为可能,这些特征是在三维环境中进行有限元建模时确定的。所得到的求解方程考虑了混凝土的徐变和收缩、结构的配筋系数。混凝土的强度和变形特性被认为是混凝土成熟程度的函数,而成熟程度又由养护的时间和温度决定。通过与ANSYS软件包中三维环境下的计算结果对比,对所建立的模型进行了验证。研究了混凝土徐变收缩、混凝土成熟程度和配筋系数对结构应力-应变状态的影响。
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引用次数: 3
FINITE ELEMENT ANALYSIS FOR THIN-WALLED MEMBER SUBJECTED TO COMBINED LOADING 组合式薄壁构件有限元分析
Q4 Engineering Pub Date : 2022-09-27 DOI: 10.22337/2587-9618-2022-18-3-65-77
V. Galishnikova, T. Gebre
Thin-walled structures are widely used in various structural engineering applications due to their advantage of high bearing strength when compared to self-weight and used in a complex loading situation where subjected to combined loadings. When a thin-walled section is subjected to a combined load with restrained torsion, they are ineffective at resisting, resulting in a reduction in beam capacity due to torsion and additional warping stresses. A finite element calculation can be used to analyze a 3D bar of thin-walled structural sections. Different commercial software and studies commonly consider six degrees of freedom at each node of a member for a space frame without considering the effect of warping restraint at the member's ends. This paper presents a finite element calculation for thin-walled sections with restrained torsion using the 14x14 member stiffness matrix, which includes warping as an additional degree of freedom and is commonly used for open thin-walled sections. In this study, we considered two different methods for including the additional degree of freedom for the stiffness matrix, which are very close to each other for small values of characteristics number.
薄壁结构由于具有比自重高的承载强度和在复杂的复合荷载情况下使用的优点,在各种结构工程应用中得到了广泛的应用。当薄壁截面受到约束扭转的联合载荷时,它们在抵抗上是无效的,由于扭转和额外的翘曲应力,导致梁的能力降低。有限元计算可以用于薄壁结构截面三维杆的分析。不同的商业软件和研究通常在空间框架中考虑构件每个节点的6个自由度,而不考虑构件末端翘曲约束的影响。本文提出了一种采用14x14构件刚度矩阵的约束扭转薄壁截面有限元计算方法,该方法将翘曲作为附加自由度,通常用于开口薄壁截面。在本研究中,我们考虑了两种不同的方法来包含刚度矩阵的附加自由度,这两种方法在特征数较小的情况下非常接近。
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引用次数: 0
NUMERICAL SIMULATION OF THE PROCESS OF DIRECTED TRANSFORMATION OF A REGULAR HINGE-ROD SYSTEM 规则铰杆系统定向变换过程的数值模拟
Q4 Engineering Pub Date : 2022-09-27 DOI: 10.22337/2587-9618-2022-18-3-14-24
P. Gaydzhurov, N. Tsaritova, A. Kurbanov, Anastasia Kurbanova, E. Iskhakova
The process of forming new architectural solutions in the field of regular frame-rod systems necessitates the development of the concept of creating original spatial structures through the directed transformation of kinematically changeable truss-type objects. The article presents a numerical study of kinematic parameters during the gradual shaping of a rod system, which in its initial state is a flat hinge-rod network of repeating fragments in the form of equilateral triangles. The controlled kinematic effect on the object was modeled using actuators that were placed on the peripheral sections of the studied grids. The wide variability of the hinge-rod forms, the economical installation process using the principle of "self-extension" allow us to speak about the relevance of research in this direction.
在规则框架杆系统领域形成新的建筑解决方案的过程中,需要通过运动可变桁架类型对象的定向转换来创建原始空间结构的概念的发展。本文对初始状态为等边三角形重复碎片的平铰杆网络的杆系逐渐成形过程中的运动学参数进行了数值研究。通过在所研究网格的外围部分放置致动器来模拟对目标的控制运动效应。铰链杆形式的广泛可变性,使用“自我扩展”原理的经济安装过程,使我们能够谈论在这个方向上研究的相关性。
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引用次数: 0
OPTIMIZATION OF BEARING STRUCTURES SUBJECT TO MECHANICAL SAFETY: AN EVOLUTIONARY APPROACH AND SOFTWARE 基于机械安全的轴承结构优化:一种进化方法和软件
Q4 Engineering Pub Date : 2022-06-24 DOI: 10.22337/2587-9618-2022-18-2-131-142
A. Alekseytsev, Al Ali Mohamad
An approach to solving the urgent problem of optimizing the load-bearing structures of buildings and structures based on adapted genetic algorithms is presented. As a tool for finding a solution, iterative schemes are used, in which, in the classical approach to evolutionary modeling, a system of constraints is used that forms the operational requirements for reinforced concrete, steel and other structures. In this case, the value of the risk of material losses is used as one of the measures of the design optimality. This value is used to assess the feasibility of increasing the initial costs of manufacturing structures, taking into account the degree of their mechanical safety in case of emergency impacts. Groups of scenarios are considered as such impacts, including local damage to one or more load-bearing elements. A limitation is formed on the resistance to progressive collapse of the structure, which is interpreted as preventing large displacements and limiting deformations of certain parts or the structure as a whole. The magnitude of the risk is determined by a relative index determined as the ratio of the likely cost for damage from material loss to the initial cost of manufacturing the structure. The block diagrams that implement such iterative processes, information about the developed software and an example of optimization of the reinforced concrete supporting structure of the frame of an administrative multi-storey building are considered.
提出了一种基于自适应遗传算法的建筑物和结构的承重结构优化问题的解决方法。作为寻找解决方案的工具,使用了迭代方案,其中,在经典的进化建模方法中,使用了约束系统,形成了钢筋混凝土,钢和其他结构的操作要求。在这种情况下,材料损失的风险值被用作设计最优性的度量之一。该值用于评估增加制造结构初始成本的可行性,同时考虑到其在紧急影响下的机械安全程度。一组场景被认为是这样的影响,包括对一个或多个承重元件的局部损坏。对结构的抗渐进倒塌形成了限制,这被解释为防止大位移和限制某些部分或结构整体的变形。风险的大小是由一个相对指数决定的,该指数是由材料损失造成的可能损害成本与制造结构的初始成本之比确定的。考虑了实现这种迭代过程的框图,有关开发软件的信息以及行政多层建筑框架的钢筋混凝土支撑结构优化的示例。
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引用次数: 1
STRENGTH MODEL FOR CALCULATING CENTRALLY COMPRESSED CONCRETE ELEMENTS WITH COMPOSITE REINFORCEMENT, TAKING INTO ACCOUNT THE SPACING OF STIRRUPS 考虑箍筋间距的组合配筋中心受压混凝土单元强度计算模型
Q4 Engineering Pub Date : 2022-06-24 DOI: 10.22337/2587-9618-2022-18-2-163-174
A. Tamrazyan, Andrey Lapshinov
The article discusses the relevance of developing techniques for confined elements with FRP reinforcement. The method for calculating centrally confined concrete columns with non-metallic GFRP reinforcement (without regard to its compression work) is proposed for the first time in the Russian Federation. The strength model was developed based on the well-known theoretical model of confined concrete. The article considers the effect of strengthening the concrete core of the columns, which is obtained due to the more frequent placement of both transverse and longitudinal reinforcement. The dependence of the bearing capacity of concrete columns on the strength of the transverse reinforcement material is shown. It was proved that with a decrease in the spacing of the longitudinal reinforcement, the area of ​​the effectively confined concrete core inside the reinforcement cage increases.  It was shown that, due to the low compressive modulus of elasticity of the FRP reinforcement, the stress in it will be comparable to the concrete stress. Therefore, the compressive strength of the FRP reinforcement can be neglected in the case of determining the bearing capacity of centrally confined concrete elements. As a result, a strength model for calculating confined concrete elements with FRP reinforcement was proposed, considering the spacing of transverse reinforcement, the longitudinal and transverse reinforcement ratio, and the strength of the material of transverse reinforcement. The developed strength model can be applied not only for square, but also for columns of round and rectangular sections.
本文讨论了FRP加固约束构件开发技术的相关性。在俄罗斯联邦首次提出了非金属玻璃钢加固中心约束混凝土柱的计算方法(不考虑其压缩工作)。强度模型是在著名的约束混凝土理论模型的基础上建立的。本文考虑了加强柱的混凝土核心的效果,这是由于更频繁地放置横向和纵向钢筋而获得的。分析了混凝土柱承载力与横向配筋材料强度的关系。结果表明,随着纵筋间距的减小,钢筋笼内有效约束混凝土芯的面积增大。结果表明,由于FRP筋的压缩弹性模量较低,其内部的应力与混凝土应力相当。因此,在确定中心约束混凝土构件的承载力时,FRP筋的抗压强度可以忽略不计。考虑横向配筋间距、纵横配筋比、横向配筋材料强度等因素,建立了FRP筋约束混凝土单元的强度计算模型。所建立的强度模型不仅适用于方形柱,也适用于圆形和矩形截面柱。
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引用次数: 0
FORMATION OF COMPUTATIONAL SCHEMES OF ADDITIONAL TARGETED CONSTRAINTS THAT REGULATE THE FREQUENCY SPECTRUM OF NATURAL OSCILLATIONS OF ELASTIC SYSTEMS WITH A FINITE NUMBER OF DEGREES OF MASS FREEDOM, THE DIRECTIONS OF MOVEMENT OF WHICH ARE PARALLEL, BUT D 建立了具有有限个质量自由度、运动方向平行的弹性系统固有振动频谱的附加目标约束的计算格式
Q4 Engineering Pub Date : 2022-06-24 DOI: 10.22337/2587-9618-2022-18-2-184-192
L. Lyakhovich, P. Akimov
For some elastic systems with a finite number of degrees of freedom of masses, in which the directions of mass movement are parallel and lie in the same plane (for example, rods), special methods have been developed for creating additional constraints, the introduction of each of which purposefully increases the value of only one natural frequency and does not change any from the natural modes. The method of forming a matrix of additional stiffness coefficients that characterize such targeted constraint in this problem can also be applied when solving a similar problem for elastic systems with a finite number of degrees of mass freedom, in which the directions of mass movement are parallel, but do not lie in the same plane (for example, plates). At the same time, for such systems, only the requirements for the design schemes of additional targeted constraints are formulated, and not the methods for their creation. The distinctive paper proposes an approach that allows researcher to create computational schemes for additional targeted constraints for such systems. A variant of the computational scheme, represented by a rod system with one degree of activity, is considered. Some special properties of such targeted constraints are revealed. When forming the computational scheme, the material consumption for creating a constraint is minimized, and design restrictions are taken into account. Particular attention is paid to the modification of the computational scheme of the constraint, when, during its formation, rods appear that “pass” through the original system.
对于一些具有有限数量的质量自由度的弹性系统,其中质量运动方向是平行的并且位于同一平面(例如,杆),已经开发出特殊的方法来创建额外的约束,每个约束的引入都有目的地只增加一个固有频率的值,并且不改变任何自然模态。在这个问题中,形成附加刚度系数矩阵的方法表征了这种目标约束,也可以应用于解决具有有限数量的质量自由度的弹性系统的类似问题,其中质量运动方向是平行的,但不位于同一平面(例如,板)。同时,对于这样的系统,只制定了对附加目标约束的设计方案的要求,而没有制定其创建方法。这篇独特的论文提出了一种方法,允许研究人员为此类系统创建额外目标约束的计算方案。计算方案的一种变体,由一个活动度的杆系统表示,被考虑。揭示了这类目标约束的一些特殊性质。在形成计算方案时,最小化创建约束的材料消耗,并考虑设计约束。特别注意的是修改的计算方案的约束,当,在其形成过程中,杆似乎“通过”通过原来的系统。
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引用次数: 0
DETERMINATION OF BENDING OF A BEAM FROM A NONLINEAR DEFORMABLE MATERIAL BY RITZ-TIMOSHENKO METHODS AND FINITE DIFFERENCES TAKING INTO ACCOUNT DEGRADATION FUNCTIONS OF CROSS SECTION RIGIDITY 考虑截面刚度退化函数的ritz-timoshenko方法和有限差分法测定非线性变形材料梁的弯曲
Q4 Engineering Pub Date : 2022-06-24 DOI: 10.22337/2587-9618-2022-18-2-85-97
V. Selyaev, Sergey Gryaznov, D. Babushkina
The article solves the problem of determining the deflections of a beam made of a nonlinearly deformable material - a polyester composite held in water using the numerical methods of Ritz-Timoshenko and finite differences. The influence of the aggressive environment on the material of the structure was taken into account by introducing the degradation function of the stiffness of the element cross-sections into the calculation algorithms of the above methods. The problem of determining the time and conditions for the onset of the limiting state of the structure in the second group in accordance with the current norms and rules has been solved.
本文用Ritz-Timoshenko数值方法和有限差分方法解决了由非线性可变形材料聚酯复合材料制成的梁在水中挠度的确定问题。通过在上述方法的计算算法中引入单元截面刚度的退化函数,考虑了侵蚀环境对结构材料的影响。解决了按照现行规范和规则确定第二组结构极限状态发生的时间和条件的问题。
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引用次数: 0
期刊
International Journal for Computational Civil and Structural Engineering
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