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Quadrilateral element in mixed FEM for analysis of thin shells of revolution 旋转薄壳混合有限元分析中的四边形单元
Pub Date : 2023-03-30 DOI: 10.22363/1815-5235-2023-19-1-64-72
Yu. V. Klochkov, V. Pshenichkina, A. Nikolaev, O. Vakhnina, M. Klochkov
The purpose of study is to develop an algorithm for the analysis of thin shells of revolution based on the hybrid formulation of finite element method in two dimensions using a quadrilateral fragment of the middle surface as a discretization element. Nodal axial forces and moments, as well as components of the nodal displacement vector were selected as unknown variables. The number of unknowns in each node of the four-node discretization element reaches nine: six force variables and three kinematic variables. To obtain the flexibility matrix and the nodal forces vector, a modified Reissner functional was used, in which the total specific work of stresses is represented by the specific work of membrane forces and bending moments of the middle surface on its membrane and bending strains, and the specific additional work is determined by the specific work of membrane forces and bending moments of the middle surface. Bilinear shape functions of local coordinates were used as approximating expressions for both force and displacement unknowns. The dimensions of the flexibility matrix of the four-node discretization element were found to be 36×36. The solution of benchmark problem of analyzing a truncated ellipsoid of revolution loaded with internal pressure showed sufficient accuracy in calculating the strength parameters of the studied shell.
研究的目的是基于二维有限元法的混合公式,以中间表面的四边形碎片为离散化单元,开发一种旋转薄壳的分析算法。节点轴向力和力矩以及节点位移矢量的分量被选为未知变量。四节点离散化单元的每个节点中的未知数数量达到九个:六个力变量和三个运动学变量。为了获得柔性矩阵和节点力矢量,使用了一个修正的Reissner泛函,其中应力的总比功由膜力的比功和中间表面在其膜上的弯矩以及弯曲应变表示,具体附加功由膜力和中间表面弯矩的具体功决定。使用局部坐标的双线性形状函数作为力和位移未知数的近似表达式。发现四节点离散化单元的柔性矩阵的维数为36×36。通过求解内压作用下的旋转椭球体的基准问题,表明了计算所研究壳体强度参数的足够精度。
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引用次数: 0
Calculation of radially inhomogeneous ring loaded with normal and tangential loads 径向非均匀环的法向和切向载荷计算
Pub Date : 2023-03-30 DOI: 10.22363/1815-5235-2023-19-1-56-63
V. Andreev
The aim of the study is to solve the problem of the stress-strain state of a thin ring under radial and ring loads, factoring in the radial inhomogeneity of the ring. Also, the task is to compare the two calculation methods to the example of solving the problem of uneven load distribution along the outer surface of the ring with one-dimensional inhomogenuity. Analytical or numerical-analytical solutions are used in the two-dimensional plane problem of the theory of elasticity in polar coordinates for an inhomogeneous body. Most of these problems consider centrally symmetric circular bodies. As a rule, this is possible when all unknown functions depend on the radius. These tasks correspond with the majority of ring and cylindrical structures. Pipes are suitable for creating pipeline systems and civil engineering, they are used for gas pipelines, in heating networks and water supply systems. The key feature of the work lies in the consideration of uneven radial and ring loads distribution along the outer surface of the ring. Comparison of the calculation results obtained by two methods makes it possible to determine the stressed and deformed states with sufficient accuracy, an indicator of which is the obtaining of the ring stresses.
研究的目的是在考虑环的径向非均匀性的情况下,解决环在径向和环载荷作用下的应力-应变状态问题。同时,将两种计算方法与求解具有一维非均匀性的环外表面载荷分布不均匀问题的算例进行比较。对于非均匀体的二维平面问题,采用解析解或数值解析解。这些问题大多考虑中心对称的圆体。通常,当所有未知函数都依赖于半径时,这是可能的。这些任务与大多数环形和圆柱形结构相对应。管道适用于创建管道系统和土木工程,它们用于燃气管道,供热网络和供水系统。该工作的主要特点在于考虑了沿环外表面径向和环形载荷分布的不均匀性。通过对两种方法计算结果的比较,可以较准确地确定环的受力状态和变形状态,其中环应力的计算就是一个指标。
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引用次数: 0
Modal analysis of a large-span building with different boundary conditions 不同边界条件下大跨度建筑的模态分析
Pub Date : 2023-03-30 DOI: 10.22363/1815-5235-2023-19-1-17-34
E. Kuzhakhmetova, V. I. Sutyrin
The authors present the results of a modal analysis of finite element models of a large-span building with a cylindrical-and-slab roof as a large mechanical system. During the numerical study, the following spatial models are considered: 1) superstructure - fixed-end; 2) superstructure - pile foundation - soil base. The purpose of the study is to compare the results of a modal analysis of the design of a large-span building with different boundary conditions, physical and mechanical properties of the soil base. Modal analysis of a large-span building with a cylindrical-and-slab roof was carried out using the Femap NX Nastran CAE-class software package implementing the finite element method. The authors compare the frequencies and modes of natural oscillations of the construction of spatial models obtained on models of types 1 and 2 of the large-span building with a cylindrical-and-slab roof. As a result of the modal analysis of model 2, the influence of the physical and mechanical properties of the soil base on the characteristics of the structure's own oscillation was revealed. In the prospect, it is proposed to conduct a dynamic analysis of a large-span building with a cylindrical-and-slab roof for seismic effects.
作者介绍了一个大跨度建筑的有限元模型的模态分析结果,该建筑的圆柱屋顶和板屋顶是一个大型机械系统。在数值研究中,考虑了以下空间模型:1)上部结构-固定端;2) 上部结构-桩基-土质基底。本研究的目的是比较具有不同边界条件、地基物理力学性能的大跨度建筑设计的模态分析结果。利用Femap-NX-Nastran CAE级有限元软件包,对一座大跨度圆筒形和圆屋顶建筑进行了模态分析。作者比较了大跨度圆柱屋顶和板屋顶建筑的1型和2型空间模型构造的固有振荡频率和模式。通过对模型2的模态分析,揭示了地基的物理力学性质对结构自身振动特性的影响。展望未来,建议对一个大跨度圆柱形和板屋顶建筑进行地震效应的动力分析。
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引用次数: 0
Predicting the residual life of concrete structures in biocorrosion from the position of the theory of mass transfer 从传质理论的角度预测生物腐蚀中混凝土结构的剩余寿命
Pub Date : 2022-12-15 DOI: 10.22363/1815-5235-2022-18-5-438-443
S. Fedosov, S. Loginova, A. Shalygina
The problem of corrosive destruction of concrete and reinforced concrete structures of industrial buildings affected by aggressive environments does not lose its relevance, because, despite the abundance of modern methods of protection, there are still no radical methods of corrosion control. Corrosive destruction of building materials leads to a strength and load-bearing capacity reduction, loss of aesthetic properties of concrete and reinforced concrete structures and, consequently, to a decrease in the residual life of buildings and structures. The biological factor often acts as an intensifier of corrosive destruction. In this regard, it is reasonable to search for the possibility of predicting the durability of concrete and reinforced concrete structures in aggressive liquid mediums, taking into account the biofactor effect from the standpoint of mass transfer theory. The authors present a model of mass transfer in a concrete structure exposed to aggressive environment and biofouling. The proposed physical and mathematical model considers the properties of concrete and aggressive environment, as well as the kinetics of continuous processes of growth, reproduction and death of microorganisms. The results of numerical experiments on the proposed mathematical model are provided. The application of the received solutions will allow timely monitoring of biocorrosive destruction of concrete and reinforced concrete structures and selecting effective methods of protection.
受侵蚀性环境影响的工业建筑的混凝土和钢筋混凝土结构的腐蚀性破坏问题并没有失去其相关性,因为尽管有大量的现代保护方法,但仍然没有彻底的腐蚀控制方法。建筑材料的腐蚀性破坏会导致混凝土和钢筋混凝土结构的强度和承载能力降低,失去美观性能,从而降低建筑物和结构的剩余寿命。生物因素往往起到腐蚀性破坏的强化作用。在这方面,从传质理论的角度考虑生物因子效应,寻找预测混凝土和钢筋混凝土结构在侵蚀性液体介质中耐久性的可能性是合理的。作者提出了一个暴露于侵蚀性环境和生物污垢的混凝土结构中的传质模型。所提出的物理和数学模型考虑了混凝土和侵蚀性环境的特性,以及微生物生长、繁殖和死亡的连续过程的动力学。给出了对该数学模型的数值实验结果。所收到的解决方案的应用将能够及时监测混凝土和钢筋混凝土结构的生物腐蚀性破坏,并选择有效的保护方法。
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引用次数: 0
Influence of the soil base on the stress-strain state of a large-span building with a cylinder-and-slab roof 土基对大跨度柱板屋盖应力-应变状态的影响
Pub Date : 2022-12-15 DOI: 10.22363/1815-5235-2022-18-5-444-457
E. Kuzhakhmetova, V. I. Sutyrin
The authors consider finite element models of a large-span building with a cylinder-and-slab roof as a large spatial mechanical system with different boundary conditions. The first model represents the superstructure of the building with a fixed-end at the soil base level. In the second model, the superstructure is based on the substructure, which includes a pile foundation and a soil base with different physical and mechanical properties. The purpose of the study is a comparative numerical analysis of the stress-strain state of a large-span building with different boundary conditions. The numerical study revealed the influence of the structural features of the substructure of the building, as well as the physical and mechanical properties of the soil base on the stress-strain state of the long-span roof and the building as a whole. Numerical static analysis of spatial finite element models of a large-span building was carried out in the СAE class Femap NX Nastran software package. The results of the static analysis demonstrated a significant structural influence of the substructure of a large-span building on the characteristics of its stress-strain state. In the next article, it is proposed to conduct a modal analysis for these building models.
作者将大跨度圆柱板屋顶建筑的有限元模型视为一个具有不同边界条件的大型空间力学系统。第一个模型表示建筑物的上部结构,其固定端位于土壤基准面。在第二个模型中,上部结构是以下部结构为基础的,下部结构包括具有不同物理力学性能的桩基和地基。本研究的目的是对不同边界条件下大跨度建筑的应力-应变状态进行比较数值分析。数值研究揭示了建筑下部结构的结构特征以及地基的物理力学性质对大跨度屋顶和整个建筑的应力-应变状态的影响。在СAE级Femap NX Nastran软件包中对大跨度建筑的空间有限元模型进行了数值静力分析。静力分析结果表明,大跨度建筑下部结构对其应力-应变状态特征有显著的结构影响。在下一篇文章中,建议对这些建筑模型进行模态分析。
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引用次数: 1
Physical and mechanical properties of pre-bound aggregate composites 预粘合骨料复合材料的物理力学性能
Pub Date : 2022-12-15 DOI: 10.22363/1815-5235-2022-18-5-399-406
V. Erofeev, S. Kaznacheev, E. Pankratova, V. Seleznev, T. P. Tyuryahina
New building materials and products in construction and reconstruction, which improve the performance and efficiency characteristics of buildings, reduce material consumption, cost and labor intensity, are always relevant. A promising direction for further development of composite materials is the employment of pre-bound aggregate materials. Their production is a two-stage process, which involves at first creating an optimal aggregate mix and gluing the grains to each other and secondly filling the voids of the obtained aggregate framework with a high-workability matrix. Presented research is an experimental investigation of physical and technical properties of pre-bound aggregate composite materials. Composites with complex binders are also considered in this study. In such cases, the aggregate framework and the grouting matrix were made of binders of different nature, which are incompatible when the components are mixed ordinarily. When studying composites, a complex of physical and mechanical methods was used. Improvement of physical and mechanical properties of framework composites in comparison with composites obtained according to conventional techno- logy has been established. These advantages are identified primarily for such properties as deformability, impact strength, creep.
在建筑和改造中,新型建筑材料和产品提高了建筑的性能和效率特征,降低了材料消耗、成本和劳动强度,一直是人们关注的焦点。预粘结骨料的应用是复合材料进一步发展的一个有希望的方向。它们的生产是一个两个阶段的过程,首先是创建一个最佳的骨料混合物并将颗粒相互粘合,其次是用高可加工性矩阵填充所获得的骨料框架的空隙。本研究是对预粘结集料复合材料物理性能和技术性能的实验研究。复合材料与复杂的粘合剂也考虑在本研究中。在这种情况下,骨料框架和灌浆基质是由不同性质的粘结剂组成的,当组分通常混合时,它们是不相容的。在研究复合材料时,采用了物理和机械的综合方法。与传统工艺制备的复合材料相比,框架复合材料的物理力学性能有所提高。这些优点主要体现在可变形性、冲击强度、蠕变等性能上。
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引用次数: 1
The influence of bracing on the stress state of the ribbed-ring dome framework 支撑对肋环穹顶框架受力状态的影响
Pub Date : 2022-12-15 DOI: 10.22363/1815-5235-2022-18-5-417-427
E. Lebed
The aim of current research was to establish the relationship between the stress state of the ribbed-ring dome framework and the degree of its bracing. It was assumed that the meridional ribs and rings of the dome framework are made of metal. The framework of the dome consists of 24 ribs and 7 rings. The study was performed for a ribbed-ring dome of spherical shape with a span of 39.3 m and a height of 11.0 m on computer models. The initial computer model of the framework of a ribbed-ring dome made of steel I-beams without bracing has been developed. On the basis of the initial model, additional models were developed for the frameworks with bracing between meridional edges in four, eight cyclically symmetric sectors and in all sectors. Both for the initial model and for all models of the dome framework with bracing, computer calculations were performed for the effect of the load from the own weight of the load-bearing and enclosing structures, and two variants of the snow load. During the calculations, deformations, internal forces and stresses in the meridional ribs, upper and intermediate rings of different models were determined, which were compared with each other. Graphs of changes in deformations of the frame, graphs and diagrams of changes in internal forces and stresses in the meridional ribs, in the upper and intermediate rings of the dome, depending on the degree of bracing in the framework, are obtained. An assessment of the influence of bracing on the stress state of the rib-ring dome frame is performed. The peculiarities of the influence of different coupling schemes on the stressed state of the dome frame are noted.
目前的研究目的是建立肋环穹顶框架的应力状态与其支撑程度之间的关系。假设圆顶框架的子午肋和环由金属制成。圆顶的框架由24个肋和7个环组成。这项研究是在计算机模型上对跨度为39.3米、高度为11.0米的球形肋环穹顶进行的。建立了无支撑工字钢肋环穹顶结构的初始计算机模型。在初始模型的基础上,为四个、八个循环对称扇区和所有扇区的子午线边缘之间具有支撑的框架开发了额外的模型。对于初始模型和带支撑的圆顶框架的所有模型,都对承载和围护结构自重以及雪荷载的两种变体的荷载影响进行了计算机计算。在计算过程中,确定了不同模型的子午肋、上环和中环的变形、内力和应力,并进行了比较。根据框架中的支撑程度,获得了框架变形变化图、圆顶上部和中间环的子午肋内力和应力变化图。评估了支撑对肋环穹顶框架应力状态的影响。指出了不同耦合方案对穹顶框架受力状态影响的特点。
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引用次数: 0
Analytical model of deformation of reinforced concrete columns based on fracture mechanics 基于断裂力学的钢筋混凝土柱变形分析模型
Pub Date : 2022-12-15 DOI: 10.22363/1815-5235-2022-18-6-573-583
A. Tamrazyan, V. Chernik, T. Matseevich, I. Manaenkov
When conducting seismic calculations of reinforced concrete buildings and structures, it is quite important to use nonlinear models of structural performance, including those taking into account the overcritical operation in the fracture stage. The application of such models is especially important if the structures have an initial damage from fire or corrosion, as well as mechanical damage caused by force factors. The purpose of this study is to develop an analytical model of the deformation of eccentrically compressed reinforced concrete columns considering the stage of failure, which includes such processes as spelling of the protective layer, loss of stability of compressed reinforcement, and softening of confined concrete after reaching the design resistance. The existing models describing hysteresis behavior of reinforced concrete structures under low-cycle loading have been reviewed. The models have been analyzed in terms of considering the defining monotone curves, which are the boundaries of cyclic deformation. The model proposed in the research is constructed by analyzing the stages of the stress-strain state of a reinforced concrete column. At each stage, formulas are found for determining moment and curvature by solving equations of equilibrium of internal forces. Calculations based on the obtained model for a particular reinforced concrete column are carried out, monotonous diagrams are obtained, and a conclusion about the significant influence of the level of axial load on the character of deformation is made. On the basis of the obtained model, the construction of hysteresis diagrams under low-cycle loading is expected in the future.
在进行钢筋混凝土建筑物和结构的抗震计算时,使用结构性能的非线性模型,包括考虑断裂阶段过临界作用的非线性模型是非常重要的。如果结构有由火灾或腐蚀引起的初始损伤,以及由力因素引起的机械损伤,则这种模型的应用尤为重要。本研究的目的是建立考虑破坏阶段的偏心受压钢筋混凝土柱的变形分析模型,包括保护层的拼布、受压钢筋的失稳以及达到设计阻力后约束混凝土的软化等过程。对现有的钢筋混凝土结构在低周荷载作用下的滞回特性模型进行了综述。考虑了循环变形边界单调曲线的定义,对模型进行了分析。本文提出的模型是通过分析钢筋混凝土柱的应力-应变状态阶段来建立的。在每个阶段,通过求解内力平衡方程,找到确定弯矩和曲率的公式。根据所建立的模型对某钢筋混凝土柱进行了计算,得到了单调的图形,得出了轴向荷载水平对柱的变形特性有显著影响的结论。在此模型的基础上,展望了低周载荷下滞回图的构建。
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引用次数: 4
Numerical calculation of bent reinforced concrete elements of rectangular section in the Abaqus software Abaqus软件中矩形截面钢筋混凝土弯曲单元的数值计算
Pub Date : 2022-12-15 DOI: 10.22363/1815-5235-2022-18-6-552-563
V. Rimshin, P. Amelin
The calculation of building structures to a large extent began to be performed using automated software systems based on the finite element method. An urgent issue of the widespread use of this type of calculation is the accuracy of the calculation results in comparison with experimental data. In this study, by numerical simulation using the Abaqus software package, the stress-strain state of a bent reinforced concrete element of a rectangular cross section is investigated. Numerical modeling of the element is performed by volumetric finite elements, taking into account the non-linear (actual) state diagram of concrete, described by the model of plastic fracture of concrete with damage (CDP). Reinforcement is specified by rod finite elements, with a combination of elastic properties and metal plasticity model. The loading of the beam element in the model is performed statically with the application of concentrated forces at the centers of the thirds of the design span. As a result of the finite element calculation, the distribution of stresses in concrete and reinforcement according to Mises, deformations of finite elements along the main axes, as well as a model of concrete damage with increasing load were obtained. The obtained results showed a high convergence with the experimental data of testing beams for bending along a normal section, which allows using this algorithm for automated finite element analysis in the design of bending reinforced concrete structures.
建筑结构的计算在很大程度上开始采用基于有限元法的自动化软件系统进行。这种计算方法广泛应用的一个紧迫问题是计算结果与实验数据比较的准确性。本文采用Abaqus软件进行数值模拟,研究了矩形截面钢筋混凝土弯曲构件的应力-应变状态。考虑到混凝土的非线性(实际)状态图,采用混凝土损伤塑性断裂模型(CDP)对该单元进行了数值模拟。钢筋采用杆有限元法,结合弹性特性和金属塑性模型。模型中梁单元的加载是静力的,在设计跨度的三分之一的中心施加集中力。通过有限元计算,得到了混凝土和钢筋内部应力的Mises分布,有限元沿主轴方向的变形,以及混凝土随荷载增加的损伤模型。所得结果与沿正截面弯曲试验梁的实验数据具有较高的收敛性,可用于钢筋混凝土结构弯曲设计的自动化有限元分析。
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引用次数: 0
Couplings slip determination of the threadbar of strength class 500 N/mm2 强度等级为500n /mm2的联轴器螺纹杆的滑移测定
Pub Date : 2022-12-15 DOI: 10.22363/1815-5235-2022-18-5-475-484
G. E. Grishin, G. I. Tikhonov, I. Savrasov, G. Okolnikova
The authors present the results of RD on the topic of coupling slip of threadbar of class Av500P. The aim of the work was to obtain experimental data to study the effect of the threadbar coupling on the slip (deformability) of the joint and taking into account the characteristics of the joint in the design of structures. The strength and deformability of coupling samples of threadbar with a diameter of 16, 25 and 40 mm with an innovative four-sided (four-row) thread profile of class Av500P have been studied in accordance with the methodology of international and Russian standards. The samples were made with different tightening torques of the lock nuts and anchor-adhesive compositions inside the coupling. Along with the results of the study, it can be concluded that these couplings of innovative four-row threadbar of class Av500P meet the requirements of international and Russian standards when applying a certain tightening torque to the tightened lock nuts, depending on the diameter of the fittings to be joined and the use of anchor-adhesive compositions on large and medium diameters of the threadbar to be joined. The diagrams of thread joints obtained during the experiment can be used in design practice when design reinforced concrete structures according to the deformation model. Together, this makes it possible to introduce thread joints into the Russian construction regulatory code.
作者就Av500P级螺纹杆的耦合滑移问题进行了研究。这项工作的目的是获得实验数据,以研究螺纹杆耦合对接头滑移(变形能力)的影响,并在结构设计中考虑接头的特性。根据国际标准和俄罗斯标准的方法,研究了直径为16、25和40mm的Av500P级创新四边(四排)螺纹杆的联接样品的强度和变形能力。样品是用锁紧螺母的不同拧紧力矩和联轴器内的锚固粘合剂组合物制成的。结合研究结果,可以得出结论,当对拧紧的锁紧螺母施加一定的拧紧力矩时,这些Av500P级创新四排螺纹杆的联轴器符合国际和俄罗斯标准的要求,这取决于待连接的配件的直径以及锚定粘合剂组合物在待连接的螺纹杆的大直径和中等直径上的使用。根据变形模型设计钢筋混凝土结构时,试验中获得的螺纹接头图可用于设计实践。总之,这使得将螺纹接头引入俄罗斯建筑规范成为可能。
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引用次数: 0
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Structural Mechanics of Engineering Constructions and Buildings
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