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Optimization of channels and I-shaped bended closed profiles with perforated walls 带穿孔壁的通道和I形弯曲闭合型材的优化
Pub Date : 2022-07-20 DOI: 10.22363/1815-5235-2022-18-2-111-139
A. Marutyan
The article presents a continuation of the optimization of channel and I-shaped bended closed profiles (BCP) with tubular flanges and perforated walls made of rolled sheet products of both equal and different thicknesses. Such profiles are designed for light steel thin-walled structures (LSWS), which are distinguished by improved technical and economic indicators and mass demand in industrial and civil construction, which confirms the relevance of their further development. The purpose of the study is to show that the characteristics of LSWS can be further improved by shaping profiles, combining straight and round outlines of closed and open contours in a composite section, including their perforation. Through experimental design studies, solving optimization problems and variant design of the BCP, their design sections with a maximum margin of bending strength with a minimum mass have been refined. The originality of technical solutions is confirmed by patent examination. The channel BCP has extreme weight and strength with a relative height of cutouts in the wall of 1/1.87 and a ratio of width and height dimensions of 1/4.32. When the thickness of the shelves is 2 times the wall thickness, the strength and mass of the I-shaped BCP are extreme at a relative height of cutouts of 1/1.23 and a ratio of dimensions of 1/4.17, and when the thickness of the shelves is 0.6 of the wall thickness, the strength and mass of the BCP are extreme with a cutout height of 1/1.73 and a size ratio of 1/5.22. If the thicknesses of the shelves and the wall are equal, then the strength and mass of the BCP is extreme at a cutout height of 1/1.46 and a size ratio of 1/3.17.
本文介绍了通道和I形弯曲闭合型材(BCP)的优化的延续,该型材具有由相同和不同厚度的轧制板材制成的管状法兰和穿孔壁。这种型材是为轻钢薄壁结构(LSWS)设计的,其特点是技术和经济指标的提高以及工业和民用建筑中的大量需求,这证实了其进一步发展的相关性。该研究的目的是表明,通过成型轮廓,将闭合轮廓和开放轮廓的直轮廓和圆轮廓结合在复合截面中,包括穿孔,可以进一步改善LSWS的特性。通过试验设计研究、求解优化问题和BCP的变型设计,改进了BCP在最小质量下具有最大抗弯强度裕度的设计截面。专利审查证实了技术方案的独创性。通道BCP具有极高的重量和强度,壁中切口的相对高度为1/1.87,宽度和高度尺寸的比率为1/4.32。当搁架的厚度是壁厚的2倍时,I形BCP的强度和质量在切口的相对高度为1/1.23和尺寸比为1/4.17时是极端的,并且当搁架厚度是壁厚度的0.6时,BCP的厚度和强度在切口高度为1/1.73和尺寸比是1/5.22时是极端。如果搁板和墙壁的厚度相等,则BCP的强度和质量在切口高度为1/1.46和尺寸比为1/3.17时是极端的。
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引用次数: 0
Tangential developable surfaces and their application in real structures 切向可展曲面及其在实际结构中的应用
Pub Date : 2022-07-20 DOI: 10.22363/1815-5235-2022-18-2-140-149
S. Krivoshapko, M. Giloulbé
A class of developable surfaces contains cylindrical, conical, and tangential developable surfaces. Tangential developable surfaces are ruled surfaces of zero Gaussian curvature with cuspidal edges. They give great opportunities to architects and engineers for realization of their creative projects. Both the theoretical researches in the area of geometry of torses and strength analysis of shells and the influence of these researches on the application of torses in practice are shown. A presented research demonstrated that torses found the application in shipbuilding, aircraft construction, mechanical engineering, in architecture and building, engineering equipment and communications, in road building, in anti-erosive banks, topography, and cartography, clothing articles of light industry, in sculptural forms, and in modelling with developable surfaces. It was confirmed by the references on great number of published works on the subject, real examples from practice, and by handing in 14 illustrations of real objects.
一类可展曲面包括圆柱、圆锥和切向可展曲面。切向可展曲面是具有尖边的零高斯曲率的直纹曲面。它们为建筑师和工程师提供了实现其创造性项目的绝佳机会。介绍了扭转几何和壳体强度分析领域的理论研究,以及这些研究对扭转理论在实际应用中的影响。一项研究表明,torses在造船、飞机建造、机械工程、建筑和建筑、工程设备和通信、道路建设、抗侵蚀河岸、地形和制图、轻工业服装、雕塑形式以及可开发表面的建模中都有应用。大量已发表的有关这一主题的作品的参考资料、实践中的真实例子以及14幅实物插图都证实了这一点。
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引用次数: 0
Theoretical and experimental modeling of deformation of a cylindrical shell made of 45 steel under complex loading 复杂载荷作用下45钢圆柱壳变形的理论与实验建模
Pub Date : 2022-07-20 DOI: 10.22363/1815-5235-2022-18-2-150-160
S. Cheremnykh
Thin-walled cylindrical shells are used in elements of highly loaded products of mechanical engineering and energy. Along with their frequent use in production, experimental research in laboratories is also carried out constantly. This allows to simulate the behavior of the shell when exposed to external forces. But sometimes conducting an experiment becomes little possible due to the limitation of the power of the experimental apparatus when modeling the corresponding conditions of exposure to the shell in practice, therefore, improving theoretical methods for calculating the limiting states of shells when working in the elastoplastic region is relevant. The purpose of the study is to verify the conformity of the results of the experiment conducted on a thin-walled cylindrical shell made of steel 45 (GOST 1050-2013) when exposed to the sample by stretching, compression and torsion forces with theoretical calculations based on the equations of the theory of elastic-plastic processes by A.A. Ilyushin. The equations of the defining relations of the theory of elastic-plastic processes by A.A. Ilyushin for arbitrary trajectories of complex loading and deformation of materials in the deviatory deformation space Э1-Э3 are presented. All theoretical results are checked for compliance with the experiment, the reliability of the existing theory of stability is assessed. The solution is presented in the form of graphs of the dependence of the vector and scalar properties of the material on the length of the arc of the deformation trajectory and other parameters. Numerical values are selectively presented for different loading stages.
薄壁圆柱壳用于机械工程和能源的高负载产品的元件中。随着它们在生产中的频繁使用,实验室的实验研究也在不断进行。这允许模拟外壳在暴露于外力时的行为。但是,在实践中对相应的壳体暴露条件进行建模时,由于实验装置的功率限制,有时进行实验的可能性很小,因此,改进计算在弹塑性区域工作时壳体极限状态的理论方法是有意义的。本研究的目的是验证在45钢(GOST 1050-2013)制成的薄壁圆柱壳上进行的试验结果与a.a.Ilyushin根据弹塑性过程理论方程进行的理论计算的一致性。给出了A.A.Ilyushin关于材料在偏变形空间Э1-Э3中复杂载荷和变形的任意轨迹的弹塑性过程理论的定义关系方程。检查所有理论结果是否与实验一致,评估现有稳定性理论的可靠性。该解决方案以材料的矢量和标量特性与变形轨迹的弧长和其他参数的关系图的形式给出。有选择地给出了不同加载阶段的数值。
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引用次数: 1
Forced oscillations of a multimodular beam on a viscous elastic base 粘性弹性地基上多模梁的强迫振动
Pub Date : 2022-07-20 DOI: 10.22363/1815-5235-2022-18-2-104-110
Natig S. Rzayev
The aims of the research are to obtain and to solve equations of forced oscillations of beams made of different modular materials and located on a viscous elastic base. It is assumed that the beam, which has different resistance to expansion and compression and which is continuous and heterogeneous by thickness and length, performs forced oscillations under the action of a force that varies according to the cross-harmonic law. When solving the problem, the resistance of the environment is taken into account. Since the equation of motion is a complicated differential equation with partial derivatives with respect to bending, it is solved by approximate analytical methods. At the first stage, decomposition into variables is used, and at the second stage, the Bubnov - Galerkin orthogonalization method is used. Equations of dependence between the circular frequency and parameters characterizing the resistance of the external environment and heterogeneity are obtained. Calculations were carried out for the specific values of characteristic functions. Results are represented in the form of tables and curves of the corresponding dependencies. It is clear from the obtained equations that serious errors are made in solving problems of oscillating motion without taking into account the resistance of the environment and different modularity. In addition to this, as the values of parameters that determine the heterogeneity of the density increase, the value of the frequency difference changes significantly. The results can be used in reports on solidity, stability and gain-frequency characteristic of different modular beams, boards and cylindrical coatings, taking into account the resistance of the environment.
本研究的目的是获得并求解由不同模块材料制成的位于粘弹性基底上的梁的受力振荡方程。假设梁具有不同的膨胀和压缩阻力,并且在厚度和长度上是连续的和不均匀的,在根据交叉谐波定律变化的力的作用下进行强迫振荡。在解决这个问题时,要考虑环境的阻力。由于运动方程是一个具有弯曲偏导数的复杂微分方程,因此采用近似解析方法求解。在第一阶段,使用分解为变量,在第二阶段,使用Bubnov-Galerkin正交化方法。获得了圆形频率与表征外部环境阻力和异质性的参数之间的依赖方程。对特征函数的具体值进行了计算。结果以相应依赖关系的表格和曲线的形式表示。从所获得的方程中可以清楚地看出,在不考虑环境阻力和不同模块性的情况下求解振荡运动问题会产生严重的误差。除此之外,随着决定密度不均匀性的参数值的增加,频率差的值也发生了显著变化。该结果可用于报告不同模块化梁、板和圆柱形涂层的坚固性、稳定性和增益频率特性,同时考虑环境阻力。
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引用次数: 0
Surfaces of congruent sections of pendulum type on cylinders with generatrix superellipses 具有母线超椭圆的圆柱体上摆锤型全等截面的表面
Pub Date : 2022-05-23 DOI: 10.22363/1815-5235-2022-18-1-64-72
L. Alborova, S. V. Strashnov
In 1972, I.I. Kotov proposed to separate the surfaces of congruent sections into a separate class and to include the surfaces of plane-and-parallel translation, surfaces of revolution, carved surfaces of Monge, cyclic surfaces with a generatrix circle of constant radius, rotative, spiroidal, and helical surfaces in it. The aim of the research is to obtain generalized parametric equations of surfaces of congruent sections of the pendulum type on right cylinders with plane-and-parallel translation of movable rigid superellipses. Analytical geometry methods are used. Computer systems MathCad and AutoCAD are applied to visualize surfaces. The results consist in the derivation of parametric equations of the studied surfaces in a general form convenient for the use of computer modeling methods. The technique is demonstrated on five examples with congruent mobile superellipses. The possibility of using obtained surface shapes in parametric architecture, free-form architecture, and in shaping of the surfaces of some technical products is noted.
1972年,I.I.Kotov提出将全等截面的表面划分为一个单独的类别,并包括平面和平行平移表面、旋转表面、Monge雕刻表面、具有恒定半径母线圆的循环表面、旋转、螺旋和螺旋表面。研究的目的是获得具有可移动刚性超椭圆平面和平行平移的右圆柱体上摆锤型全等截面表面的广义参数方程。使用分析几何方法。应用计算机系统MathCad和AutoCAD对曲面进行可视化。结果包括以便于使用计算机建模方法的通用形式推导所研究表面的参数方程。该技术在五个全等移动超椭圆的例子中得到了证明。注意到在参数化结构、自由形式结构和一些技术产品的表面成形中使用所获得的表面形状的可能性。
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引用次数: 1
Rheological equations of concrete state and relaxation of stress 混凝土状态流变方程和应力松弛
Pub Date : 2022-05-23 DOI: 10.22363/1815-5235-2022-18-1-22-34
E. Larionov, Marina I. Rynkovskaya, E. A. Grinko
Some approaches to the derivation of rheological equations of the mechanical state of concrete are considered and the principle of superposition of fraction deformations is justified in a nonlinear statement. In linear creep theory, this principle is known as L. Boltzmann’s superposition principle of fraction creep deformations. The concept of the strength structure of the constructive material is the basis for substantiating the statements given in this work. The statistical distribution of the strength of the fractions forming a structural element in the union allows the derivation of nonlinear equations of state. At the same time, the so-called structural stresses of fractions that capable to force resistance are considered. The overlay principle of fraction deformations in non-linear statement is justified. This means the modification of L. Boltzmann’s principle of superposition allowing its applicability also under the nonlinear dependence of deformations on stresses. It is established that the integral equation of state, which is nonlinear with respect to calculated stresses, is linear with respect to structural stresses. It is this circumstance that permits its reduction to a simple linear differential equation, which, in particular, simplifies the solution of relaxation problems. These problems are closely related to the calculation of structures for long-term safety.
考虑了推导混凝土力学状态流变方程的一些方法,并用非线性陈述证明了分数变形叠加原理。在线性蠕变理论中,这一原理被称为L.Boltzmann分数蠕变变形的叠加原理。建筑材料强度结构的概念是证实本工作中所述内容的基础。在并集中形成结构元素的部分的强度的统计分布允许导出非线性状态方程。同时,考虑了能够施加阻力的分数的所谓结构应力。证明了非线性语句中分数变形的叠加原理。这意味着修改了L.Boltzmann的叠加原理,使其也适用于变形对应力的非线性依赖性。建立了积分状态方程,它相对于计算应力是非线性的,相对于结构应力是线性的。正是这种情况允许将其简化为一个简单的线性微分方程,特别是简化了松弛问题的求解。这些问题与结构的长期安全计算密切相关。
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引用次数: 1
A method for strengthening arched buildings with insufficient bearing capacity of supports for the perception of the strut 一种加固支撑承载力不足的拱形建筑的方法
Pub Date : 2022-05-23 DOI: 10.22363/1815-5235-2022-18-1-35-44
Damir M. Khusainov, Aydar F. Salimov, A. G. Khabibulina
A new way to strengthen arched buildings with insufficient bearing capacity of the supports for the perception of the strut is proposed. That method can be implemented in the conditions of architectural and structural solutions of buildings with the presence of zones which prevent the traditional placement of puffs. There are no research results on this problem in the literature. On the example of a frameless arched building with insufficient bearing capacity of the supports for the perception of the strut, the application of the anticipated reinforcement method is considered with the reduction of two options for anchoring the supports of the arched building with puffs installed for the perception of the strut to semi-buried and sunken ground anchor. For the arched building under consideration, theoretical studies were carried out to determine the prestress value in the installed puffs, at which the load-bearing capacity of the arched building is provided for the variant of the asymmetric snow design load. The significance of the obtained results for the construction industry is that for the first time a method of strengthening arched buildings with insufficient bearing capacity of supports for the perception of the strut is suggested. The projected method of reinforcement is an effective, novel way to increase the load-bearing capacity of structures and supports of arched buildings and can be used in the conditions of architectural and structural solutions of buildings with the presence of zones that prevent the traditional placement of puffs.
提出了一种新的加固方法,用于加固支撑受力不足的拱形建筑。这种方法可以在建筑物的建筑和结构解决方案的条件下实施,这些解决方案存在防止传统放置泡芙的区域。文献中还没有关于这一问题的研究结果。以无框架拱形建筑为例,考虑了支撑杆感知承载力不足的情况下,预期加固方法的应用,减少了两种选择,即将用于支撑杆感知的拱式建筑的支撑锚固为半埋式和下沉式地锚。针对所考虑的拱形建筑,进行了理论研究,确定了在不对称积雪设计荷载变化下,拱形建筑的预应力值,在此值处提供了拱形建筑的承载能力。所得结果对建筑行业的意义在于,首次提出了一种对支撑承载力不足的拱形建筑进行加固的方法。投影加固方法是一种有效的、新颖的方法,可以增加拱形建筑的结构和支撑的承载能力,并且可以用于建筑和结构解决方案的条件下,这些建筑和结构解决方案存在防止传统放置泡芙的区域。
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引用次数: 0
Use of natural compounds as a nutrition for bacteria in self-healing mortar 在自愈砂浆中使用天然化合物作为细菌的营养物质
Pub Date : 2022-05-23 DOI: 10.22363/1815-5235-2022-18-1-54-63
V. Galishnikova, S. M. Elroba, N. Dayoub, Ahmad Sakna
Microbiologically induced calcite precipitation, or calcium carbonate CaCO3, is used in remediating cracks and fissures in concrete. Since the microbial activity is pollution-free, natural, that process is extremely desired and may solve concrete cracking without sacrificing mechanical properties. The effects of different nutrient on the self-healing process are elucidated. Nutrients provide the required sources of energy for the bacterial growth and metabolic activities. A species of bacteria Bacillus sphaericus was added to the cement mix at a ratio of 0.6% of cement weight with three organic compounds for nutrients (calcium lactate, yeast extract and peptone) at 0.30% of cement weight. Effects on setting time, rate of water absorption, compressive strength and flexural strength were studied. It was found that bacteria nutrition acts as an accelerator for cement pastes for initial setting time mortar, while acts as a retarder of cement pastes for final setting time for all bacterial compared to control mortar. Finally, bacterial mortars with different types of nutrients showed an increase in compressive and flexural strengths with yeast extract showing the most promising enhancements, resulting in 26.5 and 60% increase in compressive and flexural strength respectively.
微生物诱导的方解石沉淀,或碳酸钙CaCO3,用于修复混凝土中的裂缝和裂缝。由于微生物活动是无污染的,自然的,该过程是非常需要的,并且可以在不牺牲机械性能的情况下解决混凝土开裂。阐明了不同营养物质对自愈过程的影响。营养物质为细菌生长和代谢活动提供所需的能量来源。以水泥重量的0.6%的比例添加一种球形芽孢杆菌,以水泥重量的0.30%的比例添加三种有机化合物作为营养物质(乳酸钙、酵母提取物和蛋白胨)。研究了凝结时间、吸水率、抗压强度和抗折强度对其性能的影响。结果表明,与对照砂浆相比,细菌营养对水泥浆初凝时间起促进作用,对所有细菌对水泥浆终凝时间起延缓作用。最后,添加不同类型营养物质的细菌砂浆抗压和抗折强度均有提高,其中酵母提取物的增强效果最好,抗压和抗折强度分别提高了26.5%和60%。
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引用次数: 2
Determination of the survivability parameters of a reinforced concrete spatial frame operating under conditions of a complex stress state 复杂应力状态下钢筋混凝土空间框架生存性参数的确定
Pub Date : 2022-05-23 DOI: 10.22363/1815-5235-2022-18-1-11-21
O. Osovskikh, Evgeny V. Osovskikh, V. Travush
The calculation for stability against progressive collapse in a dynamic setting, regulated by the norms, contains general recommendations on the possibility of taking into account a pliable foundation and including non-load-bearing elements in the calculation model without determining the limits of their applicability. The results of experimental studies and numerical analysis of a reinforced concrete experimental design of a spatial frame - a fragment of the frame of a multi-storey building in limiting and transcendental states are compared. The features of deformation of the structural system before and after the beyond-design impact, which causes its sudden structural restructuring, are established. Numerical studies were performed with and without considering the pliable foundation, as well as including or not including non-load-bearing elements in the calculation. Satisfactory agreement between the data of experimental studies and the results of dynamic calculation has been obtained. As one of the variants of the calculation model, a modified scheme was adopted, the constituent part of which are the elements of the calculation model of the second level - a fragment of the frame, modeled by volumetric and flat finite elements. It has been established that the results of the dynamic calculation of the experimental fragment are consistent with the experimental data only when taking into account the elements of the load device and real boundary conditions, including the deformable base.
在规范规范下,动态环境下抗渐进倒塌稳定性的计算包含关于考虑柔韧基础的可能性和在计算模型中包括非承重元素而不确定其适用性限制的一般建议。本文对某多层建筑框架片段在极限状态和超越状态下的钢筋混凝土空间框架试验设计的试验研究结果和数值分析结果进行了比较。建立了结构体系在设计外冲击前后的变形特征,从而导致结构的突然重构。在考虑柔韧性基础和不考虑柔韧性基础的情况下,以及在计算中考虑或不考虑非承重单元,进行了数值研究。实验研究数据与动力计算结果吻合较好。作为计算模型的一种变体,采用了一种改进的方案,其组成部分是第二级计算模型的单元-框架的碎片,由体积和平面有限元建模。研究表明,只有在考虑加载装置单元和实际边界条件(包括可变形基座)时,实验破片的动力计算结果才与实验数据一致。
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引用次数: 0
Models equivalent in damping in experiments for determining the parameters of internal friction in materials 确定材料内摩擦参数的实验等效阻尼模型
Pub Date : 2022-05-23 DOI: 10.22363/1815-5235-2022-18-1-45-53
V. B. Zylev, P. O. Platnov
The work is devoted to improving the methods of experimental determination of internal friction parameters in materials. The aim of the laboratory experiments is to obtain physical parameters of the material that allow to take into account the damping forces in a uniaxial stress state. The research is focused on the internal friction model, which is based on the use of the generalized Prandtl model, that gives frequency-independent internal friction and allowing for the dependence of internal friction on the level of time-varying stresses. Damped oscillations during pure bending are recorded on a specially made laboratory installation. The description of the installation, the reference points of which coincide with the fixed points of the realized form of natural oscillations, is provided. The algorithm of cameral processing of experimental data is obtained. It is proposed to use a virtual system equivalent in damping. This is a system with one dynamic degree of freedom. The involvement of an imaginary system permits, after performing tests of the sample for pure bending, to acquire data corresponding to stretching - compression. The technique grants the use of long samples, which reduces the negative effect of stress concentration in the anchorages. The damping equivalent scheme makes it possible to use samples with an arbitrary cross-section. The found damping parameters for low-carbon steel are given.
这项工作致力于改进材料内摩擦参数的实验测定方法。实验室实验的目的是获得材料的物理参数,以考虑单轴应力状态下的阻尼力。研究的重点是内摩擦模型,该模型基于广义普朗特模型的使用,该模型给出了与频率无关的内摩擦,并考虑了内摩擦对时变应力水平的依赖性。纯弯曲过程中的阻尼振荡记录在专门制作的实验室装置上。提供了该装置的描述,其参考点与实现形式的自然振荡的固定点重合。给出了实验数据的摄像处理算法。建议使用阻尼等效的虚拟系统。这是一个具有一个动态自由度的系统。在对样品进行纯弯曲测试后,虚拟系统的参与允许获得与拉伸-压缩相对应的数据。该技术允许使用长样本,从而减少锚固中应力集中的负面影响。阻尼等效方案使得使用具有任意横截面的样品成为可能。给出了低碳钢的阻尼参数。
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引用次数: 0
期刊
Structural Mechanics of Engineering Constructions and Buildings
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