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Applying the method of virtual elements to solving contact problems of shells of revolution interacting with surfaces of inconsistent shape 应用虚元法求解旋转壳体与非一致形状曲面相互作用的接触问题
Pub Date : 2023-04-01 DOI: 10.17804/2410-9908.2023.2.019-040
I. Emelyanov
An approach based on the method of virtual elements is used to solve the contact problem for a thin shell of revolution lying on a rigid foundation. In this case, the surface of the base has a shape inconsistent with the surface of the shell. The method makes it possible to determine the contact area and the contact pressure from the contact area unknown in two coordinate directions. Since the contact area is not known in advance, the problem is structurally nonlinear. A thin isotropic shell is described by the classical theory based on the Kirchhoff–Love hypotheses. The base is taken absolutely rigid, but with the presence of an elastic gasket. The shell equations are integrated by S. K. Godunov’s method of discrete orthogonalization. To determine the forces of interaction between the shell and the base, a mixed method of structural mechanics is used. With this aim in view, the maximum possible contact area is discretized by virtual rectangular elements. A constant value of the contact pressure is assumed on each element obtained in this area, and the contact pressure is assumed to be zero on the elements in the area where the shell leaves the base. Based on the assumptions, a system of linear algebraic equations is constructed, which determines the contact pressure and deflection of the shell circumference axis. Since the shell can move away from the base, iterative procedures are applied to search for the real contact area, which depends on the geometric and elastic parameters of the shell and the magnitude of the external load. As an example, the contact interaction of a cylindrical shell (part of the shell of a tank car) lying on a rigid base with a gasket is considered. It is shown how the contact area and contact pressure change depending on the rigidity of the gasket and the difference between the radii of the shell and the base (inconsistency in the shape of the surfaces).
采用虚元法求解刚性基础上旋转薄壳的接触问题。在这种情况下,底座的表面具有与壳体表面不一致的形状。该方法使得从两个坐标方向上未知的接触面积确定接触面积和接触压力成为可能。由于事先不知道接触面积,所以问题在结构上是非线性的。基于Kirchhoff-Love假设的经典理论描述了薄的各向同性壳。该基地是采取绝对刚性,但有一个弹性垫片的存在。利用S. K. Godunov的离散正交法对壳方程进行积分。为了确定壳与基础之间的相互作用力,采用了结构力学的混合方法。为此,采用虚矩形元对最大可能接触面积进行离散。假定在该区域得到的每个单元的接触压力为恒定值,并且假定壳体离开底座区域的单元的接触压力为零。在此基础上,构造了一套确定壳周轴接触压力和挠度的线性代数方程组。由于壳体可以远离底座,因此应用迭代程序来搜索实际接触面积,这取决于壳体的几何和弹性参数以及外部载荷的大小。作为一个例子,考虑了一个圆柱形壳体(油罐车壳体的一部分)与垫片放在刚性基座上的接触相互作用。它显示了接触面积和接触压力是如何变化的,这取决于垫片的刚度和外壳半径与底座之间的差异(表面形状的不一致)。
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引用次数: 0
Detection of prefracture zones in structural materials by magnetic and optical methods 磁性和光学方法检测结构材料的断裂前区
Pub Date : 2023-02-01 DOI: 10.17804/2410-9908.2023.1.024-040
Yu. V. Khudorozhkova, S. M. Zadvorkin, S. V. Burov, I. Kamantsev
The study of the applicability of magnetic and optical methods to the detection of prefracture zones under fatigue degradation of structural materials is exemplified by the 09G2S steel. The regularities of changes in the signal of an attached fluxgate gradiometer with the increasing number of loading cycles have been revealed; namely, significant changes in the gradiometer readings on individual specimen surface areas prove to result from the formation of fracture zones. The change in the value of the coefficient of correlation among the speckle images is studied at different stages of cyclic testing. Speckle image heterogeneity is shown to appear due to fracture nucleation. Thus, the applicability of magnetic and speckle-interferometric methods to detecting prefracture zones in objects under cyclic loading is substantiated.
以09G2S钢为例,研究了磁法和光学法在结构材料疲劳退化预断口检测中的适用性。揭示了附加磁通门梯度仪信号随加载次数增加而变化的规律;也就是说,单个试样表面梯度仪读数的显著变化证明是由断裂带的形成造成的。研究了不同循环测试阶段散斑图像间相关系数值的变化规律。由于断裂成核,出现了散斑图像的非均匀性。因此,证明了磁和散斑干涉方法在循环载荷下检测物体断裂前区域的适用性。
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引用次数: 0
Effect of hardeners on the mechanical properties of epoxy coatings based on ED-20 resin 硬化剂对ED-20树脂环氧涂料力学性能的影响
Pub Date : 2023-02-01 DOI: 10.17804/2410-9908.2023.1.006-016
S. Smirnov, I. Veretennikova, D. Konovalov, N. Michurov, V. Osipova, A. Pestov
The aim of this study is to investigate the mechanical properties of coatings based on ED-20 epoxy resin, manufactured with polyethylenepolyamine or polyamidepolyamine used as hardeners. Instrumented indentation with a Berkovich triangular pyramid is used to determine the mechanical properties. Indentation hardness, reduced elastic modulus, and creep at a given holding time are used as the characteristic parameters. The results testify that the mechanical properties of the epoxy coatings made with different hardeners differ significantly from each other and demonstrate different behaviors.
本研究的目的是研究以聚乙烯多胺或聚酰胺多胺为硬化剂制备的ED-20环氧树脂涂层的力学性能。用伯科维奇三角金字塔的仪器压痕来测定机械性能。压痕硬度、降低弹性模量和在给定保温时间下的蠕变作为特征参数。结果表明,不同硬化剂制备的环氧涂料的力学性能差异较大,表现出不同的行为。
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引用次数: 0
Fracture of a thin-walled spherical vessel affected by internal pressure 受内压影响的薄壁球形容器断裂
Pub Date : 2023-02-01 DOI: 10.17804/2410-9908.2023.1.017-023
V. V. Struzhanov, A. Chaikin
A problem on the fracture of a thin-walled spherical vessel affected by increasing internal pressure is formulated. The material properties both in the stage of hardening and in the stage of softening (prefracture) are described. The mathematics of the catastrophe theory is used to write down the equilibrium equations and to find the critical value of pressure, at which the vessel fails.
提出了内压增大对薄壁球形容器断裂的影响问题。描述了材料在硬化阶段和软化阶段(断裂前)的性能。利用突变理论的数学推导出平衡方程,并求出容器失效的压力临界值。
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引用次数: 0
The effect of abrasive additives on the tribotechnical properties of lubricants for the wheel–rail system 磨料添加剂对轮轨系统润滑油摩擦学性能的影响
Pub Date : 2023-02-01 DOI: 10.17804/2410-9908.2023.1.054-064
L. F. Koroleva, R. Savrai, E. Prosviryakov, V. A. Kostarev, S. V. Pavlyshko, P. V. Kostarev
The paper studies the polishing power of a tribochemically active abrasive material based on a solid solution of iron and aluminum oxides, as well as a solid solution of aluminum and iron oxides modified by zirconium oxide and yttrium oxide additives, and the tribotechnical properties of a lubricant doped with these abrasive materials. The modified Al2O3·Fe2O3·ZrO2·Y2O3 powders prove to have an essentially higher polishing power producing a considerably lower surface roughness than that of the unmodified Al2O3·Fe2O3 powder. By varying the content of the modifying oxides, one can change the tribochemical activity of the abrasive powder and select the best composition depending on the material to be polished. The addition of these abrasive powders is shown to have an essential effect on the tribotechnical properties of the lubricant for the wheel–rail contact. The laboratory testing of the lubricant compositions suggests their effective applicability to the wheel–rail contact.
本文研究了一种基于氧化铁和氧化铝固溶体的摩擦学活性磨料,以及一种由氧化锆和氧化钇添加剂改性的氧化铝和氧化铁固溶体的抛光性能,以及掺有这些磨料的润滑剂的摩擦学性能。与未改性的Al2O3·Fe2O3·ZrO2·Y2O3粉末相比,改性后的Al2O3·Fe2O3·ZrO2·Y2O3粉末具有更高的抛光能力,表面粗糙度明显降低。通过改变改性氧化物的含量,可以改变磨料粉的摩擦化学活性,并根据要抛光的材料选择最佳成分。这些磨料粉末的添加对轮轨接触润滑剂的摩擦学性能有重要影响。对润滑油成分的实验室测试表明,它们对轮轨接触具有有效的适用性。
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引用次数: 0
Exact solutions to the Navier–Stokes equations for describing inhomogeneous isobaric vertical vortex fluid flows in regions with permeable boundaries 描述具有可渗透边界区域内非均匀等压垂直涡旋流体流动的Navier-Stokes方程的精确解
Pub Date : 2023-02-01 DOI: 10.17804/2410-9908.2023.1.041-053
L. Goruleva, E. Prosviryakov
A family of exact solutions to the Navier–Stokes equations is constructed to describe nonuniform two-dimensional fluid motions. The superposition of the main unidirectional flow with the secondary flow is considered. The secondary flow is determined by suction or injection through permeable boundaries. This class of exact solutions is obtained by multiplicative and additive separation of variables. The flow of a viscous incompressible fluid is described by a polynomial of the horizontal (longitudinal) coordinate. The polynomial coefficients are functions of the vertical (transverse) coordinate and time. They are determined by a chain of homogeneous and inhomogeneous parabolic partial differential equations with a convective term. In the case of a steady flow, it is described by a system of ordinary differential equations with constant coefficients. An algorithm for integrating a system of ordinary differential equations for studying the steady motion of a viscous fluid is presented. In this case, all the functions defining the velocity are quasipolynomials since the system of ordinary differential equations has an Euler-form exact solution.
构造了Navier-Stokes方程的一组精确解来描述非均匀二维流体运动。考虑了主单向流与二次流的叠加。二次流是通过可渗透边界的吸入或注入来决定的。这类精确解是通过变量的乘性分离和加性分离得到的。粘性不可压缩流体的流动用水平(纵向)坐标的多项式来描述。多项式系数是垂直(横向)坐标和时间的函数。它们由一串具有对流项的齐次和非齐次抛物型偏微分方程决定。在定常流动的情况下,用常系数常微分方程组来描述。提出了一种研究粘性流体稳态运动的常微分方程组的积分算法。在这种情况下,所有定义速度的函数都是准多项式,因为常微分方程组有欧拉形式的精确解。
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引用次数: 0
Effect of plastic deformation on the phase composition and electromagnetic characteristics of the 321N austenitic steel (08Kh18N10T) 塑性变形对321N奥氏体钢(08Kh18N10T)相组成及电磁特性的影响
Pub Date : 2022-12-01 DOI: 10.17804/2410-9908.2022.6.095-106
L. Goruleva, S. M. Zadvorkin, A. N. Mushnikov
The changes in the phase composition and electromagnetic properties of the 321N chromium-nickel austenitic steel under plastic deformation by uniaxial tension are studied. As strain increases from 0 to 0.37, the content of ferromagnetic α′-martensite in the steel increases monotonically to 60%. The electrical resistivity and the initial magnetic permeability increase monotonically by factors of 1,25 and 18, respectively. To monitor the strain state and the content of α'-martensite in products made of the 321N steel, it is preferable to use initial magnetic permeability rather than electrical resistance. The skin layer thickness of the deformed 321N steel for frequencies from 5 to 1000 kHz is calculated from the experimental values of initial magnetic permeability and electrical resistivity. Eddy current diagnostics of the state of the surface of products made of this steel, hardened by surface plastic deformation, is proposed to be performed at frequencies ranging between 100 and 200 kHz.
研究了321N铬镍奥氏体钢在单轴拉伸塑性变形下的相组成和电磁性能变化。随着应变从0增加到0.37,钢中铁磁性α′-马氏体的含量单调增加到60%。电阻率和初始磁导率分别以1、25和18的倍数单调增加。为了监测321N钢制品的应变状态和α′-马氏体含量,最好采用初始磁导率而不是电阻。根据初始磁导率和电阻率的实验值,计算了变形后的321N钢在5 ~ 1000 kHz频率范围内的蒙皮层厚度。通过表面塑性变形硬化的这种钢制成的产品的表面状态的涡流诊断,建议在100和200 kHz之间的频率范围内进行。
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引用次数: 0
Production of metal matrix composites based on aluminum-manganese bronze and nickel alloys by wire feed electron-beam additive manufacturing 铝锰青铜和镍合金金属基复合材料的丝送电子束增材制造
Pub Date : 2022-12-01 DOI: 10.17804/2410-9908.2022.6.065-075
A. Chumaevsky, A. Panfilov, K. Kalashnikov, A. Zykova, T. Kalashnikova, A. Vorontsov, S. Nikonov, E. Moskvichev, V. Semenchuk, V. Е. Rubtsov, E. Kolubaev
Samples of composite materials based on BrAMts9-2 bronze with the introduction of the Udimet500 and Inconel625 nickel alloys were obtained by wire-feed electron-beam technology. The studies show that the structures of composites formed during printing, although fairly similar due to the same base of the alloys, have different features due to different combinations of alloying elements. The mechanical properties of the samples with the introduction of up to 15 % of the Udimet500 alloy are higher than those of the samples of the second material. With the introduction of 25 % of a nickel alloy, the strength is higher for the composite material samples with the introduction of the Inconel625 alloy. The microhardness of the samples with the introduction of 5 % of a nickel alloy is identical, the introduction of large volumes of a nickel alloy leads to the implementation of greater hardness in the samples with the introduction of the Inconel625 alloy due to the higher content of refractory materials. Relative elongation after rupture varies insignificantly for the samples of both types.
采用进线电子束技术制备了BrAMts9-2青铜和Udimet500及Inconel625镍合金的复合材料样品。研究表明,由于合金基体相同,在打印过程中形成的复合材料结构基本相似,但由于合金元素的组合不同,形成的复合材料具有不同的特征。引入高达15%的Udimet500合金后,样品的力学性能高于第二种材料的样品。当引入25%的镍合金时,引入Inconel625合金的复合材料样品强度更高。引入5%镍合金的样品显微硬度相同,引入大量镍合金导致引入Inconel625合金的样品硬度更高,因为耐火材料的含量更高。两种试样断裂后的相对伸长率差异不显著。
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引用次数: 0
A surface eddy current transducer for metal loss detection 一种用于金属损耗检测的表面涡流传感器
Pub Date : 2022-12-01 DOI: 10.17804/2410-9908.2022.6.016-024
Y. Reutov
The paper reports the results of an experimental study of the work of a surface eddy current transducer in terms of detecting and testing metal loss under one-sided access conditions. The transducer consists of an exciting coil and a microchip Hall-effect transducer placed in it. The phase shift of the voltage from the Hall probe output relative to the current in the exciting coil, measured by a digital phase meter, is used as an informative parameter. The experiments were carried out on a package of duralumin plates. It is shown that, when the thickness of the duralumin test object is 12.5 mm, a fairly linear transformation of metal loss from 0 to 50 % at a frequency of 640 Hz is possible. The results can be useful in the development of devices for detecting metal corrosion losses in non-ferromagnetic objects with a thickness of tens of millimeters under one-sided access conditions.
本文报道了一种表面涡流传感器在单向通道条件下检测和检测金属损耗的实验研究结果。换能器由一个激励线圈和放置在其中的微芯片霍尔效应换能器组成。霍尔探头输出电压相对于激励线圈中电流的相移,由数字相位计测量,用作信息参数。实验是在一组硬铝板上进行的。结果表明,当硬铝测试对象的厚度为12.5 mm时,在640hz的频率下,金属损耗可能从0到50%呈相当线性的变化。该结果可用于在单侧存取条件下检测厚度为数十毫米的非铁磁性物体的金属腐蚀损失的装置的开发。
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引用次数: 0
Studying multiphase flow around a vehicle moving freely to the water surface 研究在水面上自由运动的飞行器周围的多相流
Pub Date : 2022-12-01 DOI: 10.17804/2410-9908.2022.6.046-064
V. Pegov, I. Moshkin
The paper provides an experimental study of a multiphase flow around models in a large high-speed hydrodynamic tunnel with a vertical working section. Experimental dependences of drag coefficients on the cavitation number for vertical cavities are obtained. The results of cavitation flow around bodies of revolution in a vertically descending fluid flow are considered. A methodology for calculating the shape of vertical cavities under the slender-body theory is proposed. Relationships suitable for engineering evaluation are obtained for very long cavities. Numerical simulation of underwater motion is performed with models moving vertically in a nonstationary cavitation flow. The hydrodynamic loads can be evaluated through the determination of the nonstationary boundaries of a gas cavity and a linear load on a water-flown aft. The predicted results are compared with the experimental data. Validation and verification are performed by comparing the analysis results with the experimental data. The applicability of the proposed method to the determination of the hydrodynamic parameters of vehicles under multiphase flow is demonstrated.
本文对具有垂直工段的大型高速水动力隧道的多相绕流模型进行了实验研究。得到了垂直空腔中阻力系数与空化数的实验关系。考虑了垂直下降流体流动中旋转体周围空化流动的结果。提出了一种基于细长体理论的垂直空腔形状计算方法。对于很长的空腔,得到了适合工程评价的关系式。在非定常空化流中,采用垂直运动模型对水下运动进行了数值模拟。通过确定气腔的非定常边界和水射流尾部的线性载荷,可以计算水动力载荷,并将预测结果与实验数据进行了比较。将分析结果与实验数据进行了对比验证。验证了该方法对确定多相流条件下车辆动力参数的适用性。
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引用次数: 0
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Diagnostics, Resource and Mechanics of materials and structures
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