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DETERMINATION OF THE FREQUENCY OF ANTISYMMETRIC FORMS OF FREE OSCILLATIONS OF A RECTANGULAR CFCF – PLATE 矩形CFCF板自由振荡反对称形式频率的测定
Pub Date : 2023-02-01 DOI: 10.37538/0039-2383.2023.1.7.14
M. Sukhoterin, L. N. Kondratjeva, I. Voytko, E. M. Pastushok
To find the natural frequencies of antisymmetric oscillation patterns of a rectangular plate, two opposite sides of which are pinched and the other two are free (CFCF plate), a method of sorting frequency values («shooting method») in combination with the method of successive approximations is proposed. The deflection function is represented by two hyperbola-trigonometric series along two coordinates. When all the conditions of the boundary value problem are met, a homogeneous infinite system of linear algebraic equations is obtained with respect to the indeterminate coefficients of these series, which contains the oscillation frequency as a parameter. To find nontrivial solutions of the corresponding reduced system, an iterative process of parameter iteration is organized. Numerical results are obtained for the first two antisymmetric eigenforms. The influence of the number of series terms and the number of iterations on the accuracy of the results is investigated. A comparison with the results of other authors and experimental data is given.
为求两端夹持而另一侧自由的矩形板(CFCF板)的反对称振荡模式的固有频率,提出了一种结合逐次逼近法对频率值进行排序的方法(“射击法”)。挠度函数由沿两个坐标的两个双曲线三角级数表示。当边值问题的所有条件都满足时,就这些级数的不定系数得到了一个以振荡频率为参数的齐次线性代数方程组。为了找到相应约简系统的非平凡解,组织了一个参数迭代的迭代过程。得到了前两种反对称特征形式的数值结果。研究了序列项个数和迭代次数对结果精度的影响。并与其他作者的结果和实验数据进行了比较。
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引用次数: 0
Calculation of Composite Bending Wooden Elements by Deformations Considering the Nonlinear Work of Shear Bonds 考虑剪切键非线性功的复合弯曲木构件变形计算
Pub Date : 2022-08-28 DOI: 10.37538/0039-2383.2022.4.36.42
E. Popov, V. V. Sopilov, B. Labudin, A.E. Zemcovskii, E.S. Tochilova
The mathematical model for the calculation of component elements with non-linear-flexible shear connections by deformations is presented. The algorithm is based on the theory of calculation of component rods by A. R. Rzhanitsyn, however, the rigidity of the shear connections is refined at each step for each connection, depending on shear force. It has been established that neglecting the actual nature of the connections deformation introduces a significant error in the assessment of the deformability of component beams with mechanical connections.
建立了非线性柔性剪切连接构件的变形计算数学模型。该算法基于A. R. Rzhanitsyn的构件杆计算理论,但根据剪力的不同,在每个连接的每一步都细化了剪切连接的刚度。研究表明,忽略连接变形的实际性质会导致对具有机械连接的构件梁的变形能力的评估出现重大误差。
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引用次数: 0
Strength calculation of eccentrically compressed elements taking into account the operation of compressed fiber reinforced polymer bars 考虑压缩纤维增强聚合物棒受力的偏心压缩元件强度计算
Pub Date : 2022-08-28 DOI: 10.37538/0039-2383.2022.4.29.35
T. Mukhamediev, S. Maiorov
The results of study of influence compressed fiber reinforced polymer bars on the capacity of eccentrically compressed elements are presented. The recommendations to assignment of yield strength for compressed fiber reinforced polymer bars are given. The dependence for strength calculation elements taking account the operation of compressed fiber reinforced polymer bars are suggest. The results of reliability verification of proposed method for calculating eccentrically compressed elements with experimental data are presented.
给出了压缩纤维增强聚合物棒对偏心压缩构件承载力影响的研究结果。对压缩纤维增强聚合物棒材屈服强度的分配提出了建议。提出了考虑压缩纤维增强聚合物杆受力情况的强度计算单元的依赖关系。用实验数据对所提出的偏心压缩元件计算方法进行了可靠性验证。
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引用次数: 0
Problems of replacing nonbifurcational stability problems of elastic frames with bifurcational problems 用分岔问题代替弹性框架的非分岔稳定性问题
Pub Date : 2022-08-28 DOI: 10.37538/0039-2383.2022.4.43.49
G. Manuylov, S. B. Kositsyn, M. Begichev
When solving frame stability problems, replacing a distributed load acting on a frame element with an equivalent load in the form of concentrated forces that are applied in the frame nodes is often resorted to. This causes the bending equilibrium of the beam to become a non-bending tension-compression equilibrium. The buckling load for such frames can be either greater or less than the actual load.
在解决框架稳定性问题时,通常采用在框架节点上施加集中力形式的等效荷载来取代作用在框架单元上的分布荷载。这使得梁的弯曲平衡变成非弯曲的拉压平衡。这种框架的屈曲载荷可以大于或小于实际载荷。
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引用次数: 0
General and local stability of multi-storey buildings under dynamic and seismic influences 动力和地震作用下多层建筑的整体和局部稳定性
Pub Date : 2022-08-28 DOI: 10.37538/0039-2383.2022.4.50.54
A. Minasyan
The issues of general and local stability of multi-storey buildings and high-rise structures under emergency (explosions, earthquakes) loads are considered. Differential equations describing three-dimensional translational and three-dimensional rotational oscillations are given. Dependences of local and general stability estimation are obtained. A numerical example is given that takes into account local stability in higher forms of oscillation. At the same time, the behavior of a real 16-storey frame building in Leninakan during the earthquake in Spitak on December 7, 1988 is analyzed. The main causes of loss of stability and destruction are carried out.
考虑了多层和高层结构在紧急(爆炸、地震)荷载作用下的总体稳定性和局部稳定性问题。给出了描述三维平移振荡和三维旋转振荡的微分方程。得到了局部稳定性估计和一般稳定性估计的依赖关系。文中给出了考虑高阶振动形式下局部稳定性的数值算例。同时,分析了1988年12月7日斯皮塔克地震中Leninakan一座16层框架建筑的受力情况。分析了造成失稳和破坏的主要原因。
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引用次数: 0
Testing of glass beams intended for coating runs atrium in St. Petersburg 在圣彼得堡中庭进行玻璃梁涂层测试
Pub Date : 2022-08-28 DOI: 10.37538/0039-2383.2022.4.68.78
M. Farfel, L. S. Rozhkova
Before the reconstruction and restoration of the Eastern Wing of the General Staff, in order to install an atrium in the courtyard 4 for the premises of the State Hermitage Museum in St. Petersburg, the V.A. Kucherenko TSNIISK of JSC “SIC “Construction” tested a full-scale glass beam intended as a covering run. The article presents the test procedure, the design of the test stand, devices for applying the load and taking readings from the instruments. An analysis of the results of the experiment is presented, on the basis of which, instead of the proposed glass beams, metal beams and girders were installed on the courtyard covering. Recommendations are given for the use of glass beams as load-bearing structures.
在总参谋部东翼的重建和修复之前,为了在圣彼得堡国家冬宫博物馆的庭院中安装一个中庭,JSC“SIC”建筑公司的V.A. Kucherenko TSNIISK测试了一个全尺寸的玻璃梁,用于覆盖运行。本文介绍了试验程序、试验台的设计、加载装置和仪表读数装置。对试验结果进行了分析,在此基础上,在庭院覆盖物上安装了金属梁和大梁,而不是拟议的玻璃梁。给出了使用玻璃梁作为承重结构的建议。
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引用次数: 0
Experimental study of the coefficient of friction in slip critical bolt joints 滑移临界螺栓接头摩擦系数试验研究
Pub Date : 2022-08-28 DOI: 10.37538/0039-2383.2022.4.61.67
A. Kovalenko, D.V. Konin, P.V. Nahvalnov, D. Solovev
In order to confirm the slip factor, a series of experiments carried out on models of slip critical joints with contact surfaces subjected to shot blasting. The dependence of the slip factor on the technology of preparation of contact surfaces and the presence of a protective coating is established. The data obtained suggest that achieving the maximum guaranteed coefficient of friction of 0.58 requires careful control over the preparation of the contact surface. The absence of regulatory requirements for the technology of abrasive blasting and quality control of the friction surface is noted. Differences in approaches to the determination of the coefficient of friction between domestic and foreign methods are given. The expediency of revising the values of slip factor for various methods of surface treatment adopted in SP 16.13330.2017 for slip critical joints is substantiated.
为了确定滑移因子,在抛丸处理的接触面滑移临界节点模型上进行了一系列试验。建立了滑移系数与接触面制备工艺和保护涂层的关系。得到的数据表明,要达到0.58的最大保证摩擦系数,需要仔细控制接触面的制备。注意到磨料爆破技术和摩擦面质量控制缺乏法规要求。给出了国内外摩擦系数测定方法的差异。验证了SP 16.13330.2017对滑移临界接头采用的各种表面处理方法修正滑移系数值的便宜性。
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引用次数: 3
Calculation of the effective length of hanging under-ream bored piles under compressive load in a homogeneous ground of the base 基础均质地基抗压荷载作用下铰下悬挂钻孔灌注桩有效长度计算
Pub Date : 2022-08-28 DOI: 10.37538/0039-2383.2022.4.55.60
V. Utkin, Zh.V. Kosheleva, L. A. Sushev
The article considers the calculation of the effective length of an under-ream bored pile and a pile without broadening. The pile is located under axial compression conditions in a homogeneous ground of the base. Reducing the cost of piles is an important problem, since the manufacture of piles with broadening is characterized by increased cost. This can be achieved by identifying the value of the effective pile length. The length of the pile is considered effective if a stress in the ground is reached under its widened part equal to the calculated value R of the resistance of the ground of the base. The values of soil resistance are given in SP 24.13330.2011 (2021) for different soils at different depths of immersion of the Hc pile. In the paper, the tabular values of H and R are presented as a dependence of R on Hc (functions). The type of these functions is determined by the least squares method. In contrast to the instructions for the calculations of piles according to JV 24.13330.2011 (2021), a different design scheme for the operation of the pile in the ground of the base is proposed without bringing it to a “breakdown”. As a result, a calculation equation is presented to determine the effective length of the under-ream bored pile. Similar calculations are applicable for piles without broadening.
本文考虑了扩孔灌注桩和无扩孔灌注桩有效长度的计算。桩位于基底均质地基的轴压条件下。降低桩的成本是一个重要的问题,因为制造加宽桩的特点是成本增加。这可以通过确定有效桩长来实现。如果桩加宽部分下的地基应力等于基础地基阻力的计算值R,则认为桩长有效。在SP 24.13330.2011(2021)中给出了不同土壤在Hc桩不同浸没深度下的土阻力值。本文将H和R的表值表示为R对Hc(函数)的依赖关系。这些函数的类型由最小二乘法确定。与JV 24.13330.2011(2021)中关于桩的计算说明相反,本文提出了一种不同的设计方案,用于在不导致“击穿”的情况下在地基中运行桩。最后,给出了确定钻孔灌注桩有效长度的计算公式。类似的计算也适用于不加宽的桩。
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引用次数: 0
Calculation vaulted floors of brick on metal beams «Sectors of the thick-walled ring» method 计算拱顶楼板上的砖对金属梁《厚壁环扇形》方法
Pub Date : 2022-08-28 DOI: 10.37538/0039-2383.2022.4.2.7
P. Alekseev, A. Trofimov
Currently beam vaulted floors of brick are not designed, but most of the existing buildings with this type of ceiling need to be reconstructed. Designers are faced with the problem of the lack of a normative method for calculating vaulted ceilings, which would take into account the composite action of beams with vaulted filling. In this regard, in order to determine the category of the technical condition of the ceilings, the checking calculation is made for a hinged metal beam with uniformly distributed load, which underrates the bearing capacity of the floor. In accordance with the results of an incorrect checking calculation for vaulted ceilings with metal beams, the technical condition category is reduced, which leads to unjustified strengthening of the ceiling or its dismantling. In this article, we developed the calculation method that takes into account the composite action of structural elements.
目前没有设计梁拱砖地板,但大多数现有的建筑都需要重建这种类型的天花板。设计者面临的问题是,缺乏一种规范的方法来计算拱形天花板,这种方法将考虑到带有拱形填充的梁的复合作用。为此,为了确定吊顶的技术条件类别,对均布荷载的铰接金属梁进行了验算,该梁低估了楼盖的承载力。根据对带金属梁的拱形吊顶的错误验算结果,减少了技术条件类别,导致吊顶的不合理加固或拆除。在本文中,我们发展了考虑结构单元的复合作用的计算方法。
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引用次数: 0
Displacement differential equations of equilibrium in three-dimensional geometrically and physically nonlinear theory of elasticity for discontinuous closing equations in the cartesian coordinate system 三维几何和物理上的位移微分平衡方程,在笛卡儿坐标系下不连续闭合方程的非线性弹性理论
Pub Date : 2022-08-28 DOI: 10.37538/0039-2383.2022.4.8.23
S. V. Bakushev
We consider the construction of coefficients of equilibrium differential equations in displacements for a three-dimensional physically and geometrically nonlinear theory of elasticity. Differential equations of equilibrium are done in a rectangular Cartesian coordinate system. Closing equations are variable modules of volumetric and shear deformation; physical relations are approximated by bilinear functions. Physical dependencies are recorded for four possible rules of continuum deformation in accordance with bilinear graphs of volume and shear deformation. The rules of deformation on each linear section of bilinear diagrams of volumetric and shear deformation are determined by the secant modules of bilinear graphs of volumetric and shear deformation diagrams. The analysis shows that the coefficients of differential equations of equilibrium in displacements, which are second-order partial differential equations of displacements along spatial coordinates, are quadratic functions of the first derivatives of displacements along spatial coordinates. The constructed three-dimensional differential equations of equilibrium in displacements can be applied in the calculation of structures using three-dimensional equilibrium equations of physically and geometrically nonlinear theory of elasticity in displacements, the closing equations of physical relations for which are approximated by bilinear functions.
我们考虑了三维物理和几何非线性弹性理论中位移平衡微分方程系数的构造。平衡微分方程是在直角笛卡尔坐标系中求解的。闭合方程是体积变形和剪切变形的变模;物理关系由双线性函数近似表示。根据体积和剪切变形的双线性图,记录了连续变形的四种可能规则的物理依赖关系。由体积和剪切双线性图的割线模确定了体积和剪切双线性图各线段上的变形规律。分析表明,位移平衡微分方程的系数,即沿空间坐标的二阶位移偏微分方程,是沿空间坐标的位移一阶导数的二次函数。利用物理和几何非线性弹性位移理论的三维平衡方程所建立的三维位移平衡微分方程可以应用于结构的计算,其物理关系的闭合方程用双线性函数近似。
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引用次数: 0
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STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS
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