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Mixed FEM for Shells of Revolution Based on Flow Theory and its Modifications 基于流动理论的革命壳体混合有限元及其修正
Pub Date : 2024-03-15 DOI: 10.22363/1815-5235-2024-20-1-27-39
R. Kiseleva, Natalia A. Kirsanova, A. Nikolaev, Yu. V. Klochkov, Vitaliy V. Ryabukha
For describing elastoplastic deformation, three versions of constitutive equations are used. The first version employs the governing equations of the flow theory. In the second version, elastic strain increments are defined the same way as in the flow theory, and the plastic strain increments are expressed in terms of stress increments using the condition of their proportionality to the components of the incremental stress deviator tensor. In the third version, the constitutive equations for a load step were obtained without using the hypothesis of separating strains into the elastic and plastic parts. To obtain them, the condition of proportionality of the components of the incremental strain deviator tensor to the components of the incremental stress deviator tensor was applied. The equations are implemented using a hybrid prismatic finite element with a triangular base. A sample calculation shows the advantage of the third version of the constitutive equations.
在描述弹塑性变形时,使用了三个版本的构成方程。第一个版本采用流动理论的控制方程。在第二个版本中,弹性应变增量的定义与流动理论中的定义相同,塑性应变增量用应力增量来表示,使用的条件是应力增量与增量应力偏差张量的分量成比例。在第三个版本中,不使用将应变分为弹性部分和塑性部分的假设,而获得了载荷阶跃的构成方程。为了得到这些方程,应用了增量应变偏差张量的分量与增量应力偏差张量的分量成比例的条件。这些方程是通过带有三角形基底的混合棱柱有限元实现的。示例计算显示了第三版构成方程的优势。
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引用次数: 0
Ruled Shells of Conical Type on Elliptical Base 椭圆形底座上的圆锥形有规则贝壳
Pub Date : 2024-03-15 DOI: 10.22363/1815-5235-2024-20-1-40-56
S. Krivoshapko
The information about main results on geometry of developable surfaces with an edge of regression which have a directrix ellipse in the base is gathered. These surfaces constitute a group called “Ruled surfaces of conical type on elliptical base”. This group includes elliptical cones, torses with two ellipses defined in the parallel planes, equal slope surfaces, and ruled surfaces with the main frame of three superellipses that are ellipses in one coordinate plane and broken straight lines in the other two coordinate planes. The paper presents a method for developing torses onto a plane, approximation of torses by folded surfaces, and parabolic ending of a thin sheet from elastic material into a torse shell. A brief review of the methods of stress-strain and buckling analysis of the considered ruled shells is given, including the displacement-based finite element method and variational energy method. It is shown that analytical methods can be used only in the case of applying the momentless shell theory for ruled thin shells of conical type. The analytical formulae for determining the normal and tangent internal forces in any momentless conic shell with a superellipse in the base are derived. References to forty four scientific articles of other authors, working or having worked on the subject of the paper are given. These references confirm the conclusions of the author and the perspectives of investigations of the considered ruled surfaces and shells.
本文收集了关于底面有椭圆形直角边的可展开曲面几何的主要结果的信息。这些曲面构成了一个名为 "椭圆底面上的圆锥形曲面 "的组。这组曲面包括椭圆锥面、在平行面上定义了两个椭圆的曲面、等坡度曲面、主框架为三个上椭圆(在一个坐标平面上为椭圆,在另外两个坐标平面上为折直线)的规则曲面。论文介绍了在平面上展开马蹄形的方法、用折叠面近似马蹄形的方法,以及将弹性材料薄片抛物线收尾成蝶形壳的方法。简要回顾了对所考虑的尺壳进行应力应变和屈曲分析的方法,包括基于位移的有限元法和变分能量法。分析表明,只有在对锥形直角薄壳应用无矩壳理论时,才能使用分析方法。推导出了确定底面有上椭圆的任何无矩圆锥壳的法向内力和切向内力的解析公式。文中引用了其他作者的 44 篇科学文章,这些文章正在或曾经研究过本文的主题。这些参考文献证实了作者的结论以及对所考虑的尺面和壳的研究前景。
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引用次数: 0
Behavior of Metal Frame of Ribbed-ring Dome with Decrease in Number of Supporting Columns 减少支撑柱数量时肋环穹顶金属框架的行为
Pub Date : 2024-03-15 DOI: 10.22363/1815-5235-2024-20-1-14-26
E. Lebed
Investigation of the stress state of the metal frame of a ribbed-ring dome, when the number of supporting columns under it is gradually reduced. With that, the same distances or steps between the columns are maintained along the entire contour of the support ring. The main elements of the dome frame and columns are made of steel I-beams. Frames, the domes of which are supported by a different number of cyclically symmetrical columns, were considered as subjects of research. All the domes are characterized by the same geometric structure and size, the same cross sections of the same type of frame elements and are exposed to the same loads. The research was carried out on computer models by calculating the combined effect of the load from the weight of load-bearing and enclosing structures and an asymmetric snow load. The models with a reduced number of columns are obtained by regularly removing them from the original computer model. During the analysis, the stresses in the elements of the frames of all models were determined, which were compared with each other. Deformation graphs and comparative diagrams of the stress state relationships of the frame elements of the original and transformed models are obtained. An assessment of the change in the stress state of the ribbed-ring dome frame with a decrease in the number of columns is given. Significant changes in the stress state of the support ring were noted.
研究当支撑环下的支柱数量逐渐减少时,带肋环形穹顶金属框架的应力状态。这样,在支撑环的整个轮廓上,支柱之间的距离或台阶保持不变。穹顶框架和支柱的主要构件由工字钢制成。由不同数量的周期对称支柱支撑的穹顶框架被视为研究对象。所有穹顶都具有相同的几何结构和尺寸、相同类型框架构件的相同截面,并承受相同的荷载。研究是在计算机模型上进行的,计算了承重结构和围护结构的重量荷载以及不对称雪荷载的综合影响。通过定期从原始计算机模型中移除柱子,得到柱子数量减少的模型。在分析过程中,确定了所有模型框架元素的应力,并进行了相互比较。获得了原始模型和转换模型框架元素应力状态关系的变形图和对比图。评估了肋环穹顶框架应力状态随支柱数量减少而发生的变化。注意到支撑环的应力状态发生了显著变化。
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引用次数: 0
Modern Theory of Creep of Reinforced Concrete 钢筋混凝土蠕变的现代理论
Pub Date : 2024-03-15 DOI: 10.22363/1815-5235-2024-20-1-3-13
Alexander D. Beglov, R. Sanjarovskiy, T. Ter-Emmanuilyan
The important features of the theory of creep of reinforced concrete, identified and published earlier, are explored. The creation and development of the theory of creep of reinforced concrete is based on non-scientific principles take from systems of classical mechanics that do not correspond to this theory. A detailed analysis of the theory used in many countries was performed, while five oversimplifications were identified that reject fundamental experiments, Eurocodes, rules of mathematics and mechanics: listed in the law of creep, oversimplifications that grossly distort the calculation results, not only the deformations themselves, but also subsequent methods for calculating reinforced concrete structures. These include: unnecessarily modified classical Hooke’s law; imposing a property missing from concrete - an algebraic measure of creep; erroneous superposition principle; use of viscoelastic deformations instead of instantaneous nonlinear plastic deformations; replacement of obvious - nonlinear and non-stationary properties of concrete with linear ones, distorting the qualitative side of phenomena inherent only in nonlinear systems. These errors are covered by unreasonable safety factors, which undermines the economic component of the problem, and of the enormous volumes of reinforced concrete used throughout the world, the analyzed unscientific theory of its calculation causes enormous economic damage in global construction.
探讨了早先确定和发表的钢筋混凝土徐变理论的重要特征。钢筋混凝土徐变理论的创立和发展是基于经典力学体系中与该理论不符的非科学原理。我们对许多国家使用的理论进行了详细分析,发现了五种过度简化,它们拒绝接受基本实验、欧洲规范、数学和力学规则:在徐变规律中列出的过度简化严重扭曲了计算结果,不仅扭曲了变形本身,还扭曲了随后的钢筋混凝土结构计算方法。这些错误包括:不必要地修改了经典的胡克定律;强加了混凝土所不具备的特性--徐变的代数量;错误的叠加原理;使用粘弹性变形代替瞬时非线性塑性变形;用线性特性代替混凝土明显的非线性和非稳态特性,扭曲了非线性系统固有现象的定性。这些错误都被不合理的安全系数所掩盖,从而破坏了问题的经济成分,而在全世界使用的大量钢筋混凝土中,不科学的计算分析理论给全球建筑业造成了巨大的经济损失。
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引用次数: 0
Seismic Performance Evaluation of Multi-Storey Residential Building with Friction Pendulum Bearings: Indonesia case study 使用摩擦摆支座的多层住宅楼抗震性能评估:印度尼西亚案例研究
Pub Date : 2024-03-15 DOI: 10.22363/1815-5235-2024-20-1-57-72
Z. Abaev, Faiz Sulthan
The methodology for seismic performance evaluation of a residential building in Indonesia with the use of seismic isolation is considered. An 8-storey reinforced concrete frame residential building with shear wall structural system was selected as a case study. Nonlinear methods of seismic response analysis were used to calculate the response of the structure: nonlinear static (Pushover) and Nonlinear-Time History Analysis, NLTHA. The analysis is performed in STERA 3D freeware. The nonlinear time history analysis was performed for seven pairs of horizontal components of earthquake ground motions, selected according to the parameters of possible earthquakes for the considered site (Bandung city). The selected earthquake records were modified using the spectral matching procedure for design spectrum. Friction-pendulum bearings developed by Nippon Steel Corporation of Japan were used as seismic isolation. The results of nonlinear time history analysis show that shallow earthquakes result in greater damage compared to megathrust earthquakes, with both scenarios providing a life safety (LS) performance level. The use of seismic isolation can reduce seismic loads, as evidenced by the reduction in top-level accelerations and shear forces at the base.
本研究考虑了对印度尼西亚一栋采用隔震措施的住宅楼进行抗震性能评估的方法。案例研究选择了一栋采用剪力墙结构系统的 8 层钢筋混凝土框架住宅楼。采用非线性地震反应分析方法计算该结构的反应:非线性静力分析(Pushover)和非线性时间历史分析(NLTHA)。分析在 STERA 3D 免费软件中进行。非线性时间历史分析是针对地震地面运动的七对水平分量进行的,这些分量是根据考虑地点(万隆市)可能发生的地震参数选定的。所选地震记录使用设计频谱的频谱匹配程序进行了修改。日本新日铁公司开发的摩擦摆支座被用作隔震材料。非线性时间历程分析结果表明,浅源地震比大地壳地震造成的破坏更大,两种情况下都能达到生命安全(LS)性能水平。使用隔震措施可以减少地震荷载,这体现在顶部加速度和底部剪切力的减少上。
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引用次数: 0
Method of computational models of resistance for reinforced concrete 钢筋混凝土阻力计算模型方法
Pub Date : 2023-09-30 DOI: 10.22363/1815-5235-2023-19-3-261-275
Vladimir I. Kolchunov
Based on a comprehensive analysis of the experimental studies from the standpoint of their convergence with the theoretical solutions, the computational models of resistance (CMR) of reinforced concrete are proposed. These models include CMR1 - modeling of normal cracks, CMR2 - modeling of inclined cracks, CMR3 - modeling of diagonal cracks, CMR4 - modeling of intersecting cracks in the wall, CMR4* - modeling of cracks in a flat slab, and CMR5 - modeling of spatial cracks in torsion with bending, CMR5* - modeling of spatial cracks in bending with transverse force. Also, a hierarchy of computational models of the second and third levels is proposed. The distribution of intensity of working reinforcement along the cross-section of the calculated element was obtained in an analytical form by creating closed equations of blocks, corresponding to the blocks of the reinforced concrete element under the condition of equality to zero of partial derivatives of the Lagrange function to determine the maximum crack opening width. It is considered the effect proposed by the author on the additional deformation impact of the reaction “concrete - reinforcement” from the discontinuity of concrete during the formation of the crack by means of a special model of the two-cantilever element of fracture mechanics. Hypotheses about the distribution of linear and angular deformations during cross-section with account of gradients of deformations caused by formation of cracks were formulated for a complex-stressed element subjected to torsion with bending. Crack opening is defined as mutual displacements of reinforcement and concrete, taking into account deformation. The consolidation of substructures in the building system is performed by the method of initial parameters.
在综合分析试验研究结果与理论解趋同的基础上,提出了钢筋混凝土阻力计算模型。这些模型包括CMR1 -法向裂缝建模、CMR2 -倾斜裂缝建模、CMR3 -对角裂缝建模、CMR4 -墙体相交裂缝建模、CMR4* -平板裂缝建模、CMR5 -弯曲扭转空间裂缝建模、CMR5* -横向力弯曲空间裂缝建模。此外,还提出了二级和三级计算模型的层次结构。在拉格朗日函数偏导数等于零的条件下,通过建立块的封闭方程,以解析形式得到计算单元的工作钢筋强度沿截面的分布,以确定最大裂缝张开宽度。采用断裂力学双悬臂单元的特殊模型,考虑了作者提出的裂缝形成过程中混凝土不连续对“混凝土-钢筋”反应的附加变形影响的影响。对受弯曲扭转作用的复杂应力单元,提出了考虑裂纹变形梯度的截面线变形和角变形分布的假设。裂缝张开被定义为钢筋和混凝土的相互位移,并考虑了变形。采用初始参数法对建筑体系中子结构进行固结。
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引用次数: 0
Methodology for determining progressing ultimate states based on the displacement method 基于位移法确定进度极限状态的方法学
Pub Date : 2023-09-30 DOI: 10.22363/1815-5235-2023-19-3-276-284
Leonid Yu. Stupishin, Konstantin E. Nikitin, Maria L. Moshkevich
Solving of calculation problems for building structures is currently based on the principle of minimum total energy of structures deformation. However, it is not possible to determine the remaining bearing capacity of the structure using this principle. In the study it is proposed to use the criterion of critical levels of deformation energy to solve this problem. As a result, the ultimate state conditions of a design are formulated on the basis of extreme values of generalized parameters of designing over the whole area of their admissible values, including the boundary. The task is solved as a problem of eigenvalues for the stiffness matrix of the system. The extreme values of design parameters that correspond to critical energy levels are found, which are used to find the maximum possible value of the energy of deformation for the considered structure. The residual bearing capacity is calculated by the value of residual potential energy, which, in turn, is equal to the difference between the maximum possible value of the deformation energy of the structure and the work of external forces. A gradual methodology for investigating the progressive ultimate limit state is proposed, which is based on the sequential exclusion of those elements where the onset of the ultimate limit state is expected firstly. An example of the practical use of the proposed methods is given on the example of calculating a simple but visual design - a statically indeterminate truss.
目前建筑结构计算问题的求解是基于结构变形总能量最小的原则。然而,利用这一原理确定结构的剩余承载力是不可能的。在研究中,提出了用变形能临界水平准则来解决这一问题。因此,设计的最终状态条件是基于广义设计参数在其允许值的整个区域(包括边界)上的极值来制定的。该任务被解决为系统刚度矩阵的特征值问题。找到与临界能级相对应的设计参数的极值,用它来求所考虑的结构的变形能的最大可能值。剩余承载力由剩余势能值计算,而剩余势能值又等于结构变形能的最大可能值与外力做功之差。提出了一种研究渐进式极限状态的渐进式方法,该方法基于顺序排除最先出现极限状态的单元。最后以一个简单而直观的超静定桁架为例,说明了所提方法的实际应用。
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引用次数: 0
Geometric characterization of solid ceramic bricks for construction in Ecuador 厄瓜多尔建筑用实心陶瓷砖的几何特征
Pub Date : 2023-09-30 DOI: 10.22363/1815-5235-2023-19-3-329-336
David Cajamarca-Zuniga, Oleg Vasil'evich Kabantsev, Daniel Campos
In Ecuador, about 95.9% of dwellings are built with masonry, however the local production of bricks does not meet technical standards and there is no scientific research on its geometric characterization and the technical state of their production. The geometric characterization of bricks is essential for the standardization of materials and constructions and allows the design of structures with a higher degree of accuracy. This research, conducted in 12 provinces of the 3 continental regions of the country, where 79% of the buildings are concentrated, studies for the first time the geometric characteristics of solid clay bricks in Ecuador. The results show that 67% of the brick production in Ecuador is artisanal and 98% of the factories do not comply with the technical standards for brick production. The authors present the characteristic dimensions of solid bricks produced in different regions of Ecuador. The results show a high variation in brick dimensions depending on the region, and even in a same province the dimensions depend on the factory, since its production does not comply with any standard. Ecuadorian standards regulating brick geometry need to be updated taking into account the real characteristics of the national brick production.
在厄瓜多尔,大约95.9%的住宅是用砖石建造的,但是当地生产的砖不符合技术标准,并且没有对其几何特征和生产技术状态进行科学研究。砖的几何特征对于材料和结构的标准化至关重要,并允许具有更高精度的结构设计。这项研究在该国3个大陆地区的12个省进行,其中79%的建筑集中在这里,首次研究了厄瓜多尔实心粘土砖的几何特征。结果表明,厄瓜多尔67%的砖生产是手工生产,98%的工厂不符合砖生产的技术标准。作者介绍了厄瓜多尔不同地区生产的实心砖的特征尺寸。结果表明,砖的尺寸在不同地区差异很大,即使在同一个省,尺寸也取决于工厂,因为它的生产不符合任何标准。厄瓜多尔规范砖几何形状的标准需要更新,考虑到国家砖生产的实际特点。
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引用次数: 0
Physical and mathematical modeling of frost resistance for cement concretes 水泥混凝土抗冻性的物理和数学建模
Pub Date : 2023-09-30 DOI: 10.22363/1815-5235-2023-19-3-313-321
Lev M. Dobshits
The key factor of engineering structures made of concrete and reinforced concrete is insufficient frost resistance of concretes. It is important to identify the causes and prevent concrete damage caused by frost. The research provides the basic points of the developed physical and mathematical theory of cement concretes frost resistance. Under consideration are the processes occurring during cyclic freezing and thawing of concrete in a water-saturated state. The results of the performed theoretical and experimental studies are presented. The criterion of concrete frost resistance, which estimates the pore structure of concrete, was derived on the basis of the obtained results. The suggested criterion has a close correlative relation with the frost resistance of concrete. Using this interrelation, the method was proposed for accelerated determination of actual frost resistance of concrete, as well as the method of selection concretes' compositions for a specified design frost resistance of concretes. The methods of accelerated determination of concrete frost resistance, as well as ways to increase it, are described. The developed physical and mathematical model was used to carry out computational modeling for freezing of an extended concrete structure. This made it possible to determine the changes in humidity, temperature, and pressure in concrete during cyclic freezing and thawing at different distances from the surface of its freezing and also draw graphs of changes in these parameters. The recommendations on assignment of concrete design grades by frost resistance for various elements of concrete and reinforced concrete structures are given.
混凝土和钢筋混凝土构成的工程结构的关键因素是混凝土抗冻性不足。查明原因,防止混凝土冻损是十分重要的。该研究为发达的水泥混凝土抗冻性物理理论和数学理论提供了基本观点。考虑了混凝土在饱和水状态下的循环冻融过程。给出了理论和实验研究的结果。在此基础上,导出了混凝土抗冻性准则,即对混凝土孔隙结构的估计。该准则与混凝土的抗冻性密切相关。利用这种相互关系,提出了加速测定混凝土实际抗冻性能的方法,以及为特定设计混凝土抗冻性能选择混凝土成分的方法。介绍了混凝土抗冻性的加速测定方法和提高抗冻性的方法。利用所建立的物理和数学模型对某扩展混凝土结构冻结进行了计算建模。这样就可以确定在距离混凝土冻结面不同距离处,混凝土在循环冻结和融化过程中湿度、温度和压力的变化,并绘制出这些参数的变化曲线图。对混凝土和钢筋混凝土结构的各种构件按抗冻性分配混凝土设计等级提出了建议。
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引用次数: 0
Compaction of the snow base of Vostok station wintering complex 沃斯托克站越冬综合体雪基的压实
Pub Date : 2023-09-30 DOI: 10.22363/1815-5235-2023-19-3-285-301
Fedor A. Pashchenko, Nikita S. Kharkov, Alexander A. Sidorenko, Valery V. Garbuzov
The compaction of the snow base of the wintering complex under construction of the Russian Antarctic station “Vostok” is considered, which was required due to the unsuitability of the natural snow base for the perception of loads from the supports of the foundation of the wintering complex. Technical solutions were developed for snow base compaction on the basis of heating by solar radiation with the use of thermal mat and on the basis of snow vacuuming. The computational justification of the developed technical solutions was performed, which was carried out based on spatial finite element models using the computational software complex ANSYS. In this case, to substantiate the method of snow base compaction by solar radiation heating with the use of thermal mat, the calculated volume was analyzed, including the snow base zone, thermal mat and the space filled with air. When substantiating the method of snow base compaction by snow vacuuming, there was explored the calculation area for modeling the method of vacuuming for the hermetic volume of the excavation pit with immersed columns under the wintering complex foundation supports. The results of the of the calculated research have fully confirmed the assumptions laid down in the technical solutions for compaction of the wintering complex snow base by using of thermal mat and snow vacuuming.
考虑到俄罗斯“东方”南极站正在建设的越冬基地的雪基压实,这是由于天然雪基不适合感知越冬基地基础支撑的载荷而需要的。在使用热垫的太阳辐射加热和雪真空的基础上,开发了雪基压实的技术解决方案。基于空间有限元模型,利用复杂的ANSYS计算软件对所开发的技术方案进行了计算论证。在本案例中,为了验证利用热垫进行太阳辐射加热压实雪基的方法,对计算体积进行了分析,包括雪基区、热垫和充满空气的空间。在对雪基抽雪压实方法进行论证的同时,探索了冬季复杂基础支撑下沉柱开挖基坑密闭体积抽雪方法建模的计算区域。计算研究的结果充分证实了利用热垫法和吸雪法对越冬复合雪基进行压实的技术方案中的假设。
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引用次数: 0
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Structural Mechanics of Engineering Constructions and Buildings
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