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Seasonal Distribution of the Radio Wave Refraction Index over the Territory of Buryatia 布里亚特地区无线电波折射率的季节分布
IF 0.4 Q3 Mathematics Pub Date : 2022-01-11 DOI: 10.25205/2541-9447-2021-16-2-5-13
A. Bazarova, R. S. Sychev, A. Bazarov, E. Atutov, Y. Bashkuev
The values of the atmospheric refraction index N for ultra-short radio waves for the territory of Buryatia according to the data of meteorological stations were calculated. The monthly average values N contours maps for the central months of the seasons of 2020 were constructed. It is shown the humidity of Lake Baikal and the relief significantly influence N. On average, the values of the refractive index near the lake are 20–30 N-units higher. It is revealed the monthly average N values have maxima in winter and summer with minimums in spring and autumn, with the main maximum occurring in July.
根据气象台站资料,计算了布里亚特地区超短波无线电波的大气折射率N值。构建了2020年各季节中心月份的月平均值N等高线图。结果表明,贝加尔湖的湿度和地形对n有显著影响,湖附近的折射率平均高20 ~ 30个n单位。月平均N值在冬季和夏季最大,春季和秋季最小,最大值主要出现在7月。
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引用次数: 0
The Acoustic Nature of “Storm Nose”, “Supercell” Vortices and Tornadoes “风暴鼻子”、“超级单体”漩涡和龙卷风的声学性质
IF 0.4 Q3 Mathematics Pub Date : 2022-01-11 DOI: 10.25205/2541-9447-2021-16-2-71-80
V. I. Pinakov
The process of cumulonimbus cloud Cb calvus formation in the middle latitudes of real atmosphere is analyzed in this work. Its transformation from initial lifecycle stage to “maturity” undergoes due to the formation of the waveguide called “aerial acoustic channel” in the troposphere near the level of temperature minimum that is close to 2 km altitude. This “aerial acoustic channel” can be considered as analog of “deep sound channel” that corresponds to the minimal sound speed level. Tropospheric “channel” related to the thermal inversion zone is almost unlimited horizontally. Synchronous generation of two compression waves (ascending one above Cb and descending one inside Cb) is caused by Cb calvus dome ascension. The first one can provoke the aerodynamic draft previously unexplained. The second one results in the growth of its “storm nose” and in the axial and peripheral descending mechanisms in Cb. The penetration of Cb into stratosphere results in the destruction of dynamic balance around Cb top and hence in its unloading in the descending decompression wave. Here the air cools down to the “dew point” in the place of conjugation with parental cloud – due to Snellius law it results in the formation of aerosol “vortex” as condensation front; this “vortex” has calculated value of its generatrix against vertical. Due to D. Snow’s criterion, this vortex forms either “supercell” vortex or tornado vortex.
本文分析了实际大气中纬度地区积雨云的形成过程。它从初始生命周期阶段到“成熟期”的转变是由于在接近2公里高度的最低温度附近的对流层中形成了称为“航空声通道”的波导。这种“空中声道”可以看作是与最小声速级对应的“深声道”的模拟。与热逆温带有关的对流层“通道”在水平上几乎是无限的。Cb裂穹上升导致Cb上方上升和Cb内部下降两个压缩波同步产生。第一个可以引起先前无法解释的空气动力气流。第二个原因是其“风暴鼻”的增长以及Cb的轴向和外围下降机制。由于Cb进入平流层,导致Cb顶部周围的动平衡被破坏,从而导致Cb在降压波中卸载。在这里,空气冷却到与母云接合处的“露点”——由于斯涅利乌斯定律,它导致形成气溶胶“漩涡”作为凝结锋;这个“漩涡”已经计算出它的母线的垂直值。根据D. Snow的判据,该涡旋形成“超级单体”涡旋或龙卷风涡旋。
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引用次数: 0
Melting Point of Carbon Particles behind the Gas Detonation Front 气体爆轰锋后碳粒子的熔点
IF 0.4 Q3 Mathematics Pub Date : 2022-01-11 DOI: 10.25205/2541-9447-2021-16-2-59-70
E. Prokhorov
A mathematical model of gas detonation of fuel-enriched mixtures of hydrocarbons with oxygen has been formulated, which makes it possible to numerically study the equilibrium flows of detonation products in the presence of free carbon condensation. Reference data for graphite were used to describe the thermodynamic properties of carbon condensate. The calculations are compared with the known results of experimental studies in which, when detonating an acetylene-oxygen mixture in a pipe closed at one end, it is possible to obtain nanoscale particles from a carbon material with special properties. It is assumed that the melting point of such a material is lower than that of graphite and is about 3100 K. Only with such an adjustment of the melting temperature, the best agreement (with an accuracy of about 3 %) was obtained between the calculated and experimental dependence of the detonation front velocity on the molar fraction of acetylene in the mixture.
本文建立了富燃料烃类与氧混合气体爆轰的数学模型,使数值研究自由碳缩聚时爆轰产物的平衡流动成为可能。用石墨的参考数据来描述凝析碳的热力学性质。这些计算结果与已知的实验研究结果进行了比较,在实验研究中,当在一端关闭的管道中引爆乙炔-氧混合物时,有可能从具有特殊性能的碳材料中获得纳米级颗粒。假定这种材料的熔点低于石墨的熔点,约为3100k。只有这样调整熔化温度,爆轰锋面速度对混合物中乙炔摩尔分数的依赖关系的计算结果与实验结果最吻合(精度约为3%)。
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引用次数: 0
Fracture of Protective Structures from Heavy Reinforcing Cement During Interaction with High-velocity Impactor 重型增强水泥防护结构与高速撞击体相互作用时的断裂
IF 0.4 Q3 Mathematics Pub Date : 2021-12-01 DOI: 10.17516/1997-1397-2021-14-6-779-786
P. Radchenko, S. Batuev, A. Radchenko
In this work, the fracture of a reinforced concrete barrier made of heavy reinforced ce- ment is numerically simulated during normal interaction with a high-velocity titanium projectile. The projectile has the initial velocity 750 m/s. The problem of impact interaction is numerically solved by the finite element method in a three-dimensional formulation within a phenomenological framework of solid mechanics. Numerical modeling is carried out using an original EFES 2.0 software, which al- lows a straightforward parallelization of the numerical algorithm. Fracture of concrete is described by the Johnson-Holmquist model that includes the strain rate dependence of the compressive and tensile strengths of concrete. The computational algorithm takes into account the formation of discontinuities in the material and the fragmentation of bodies with the formation of new contact and free surfaces. The behavior of the projectile material is described by an elastoplastic medium. The limiting value of the plastic strain intensity is taken as a local fracture criterion for the projectile material. A detailed numerical analysis was performed to study the stress and strain dynamics of the reinforced concrete target and the effect of shock-wave processes on its fracture. The influence of reinforcement on the resistance of a heavy cement target to the penetration of a projectile has been investigated
本文对重型钢筋混凝土屏障与高速钛弹正常相互作用时的断裂进行了数值模拟。弹丸的初速度为750米/秒。在固体力学的现象学框架下,采用三维有限元方法对碰撞相互作用问题进行了数值求解。数值模拟使用原始的EFES 2.0软件进行,该软件允许数值算法的直接并行化。混凝土的断裂由Johnson-Holmquist模型描述,该模型包括混凝土抗压和抗拉强度的应变率依赖。该计算算法考虑了材料中不连续面的形成以及随着新的接触面和自由面形成的体的破碎。弹丸材料的行为用弹塑性介质来描述。将塑性应变强度的极限值作为弹丸材料的局部断裂判据。对钢筋混凝土靶体的应力应变动态特性及冲击波过程对其断裂的影响进行了详细的数值分析。研究了钢筋对重型水泥靶抗弹丸侵彻能力的影响
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引用次数: 0
Computer Modeling Deformation of Porous Elastoplastic Materials and Identification their Characteristics Using the Principle of Three-dimensional Similarity 多孔弹塑性材料变形的计算机模拟及三维相似原理识别
IF 0.4 Q3 Mathematics Pub Date : 2021-12-01 DOI: 10.17516/1997-1397-2021-14-6-746-755
V. Bazhenov, M. Zhestkov
It is proposed to numerically model large deformations of porous specimens, using the 3D- similarity principle in structural elements, which makes it possible to account for the inhomogeneity of the stress-strain state due to the presence of pores and allows one to vary the number of representa- tive volumes without changing porosity values and dimensions of the specimens. A methodology for determining true deformation diagrams of materials, using the results of compression tests, has been de- veloped. The efficiency of using the 3D-similarity principle is demonstrated by comparing the numerical and experimental results for the example analyzing compression of porous specimens of an aluminum alloy with free lateral surfaces and fixed in a rigid cartridge
本文提出了利用结构单元中的三维相似原理对多孔试件进行大变形的数值模拟,这使得考虑由于孔隙存在而导致的应力-应变状态的不均匀性成为可能,并且允许在不改变试件孔隙度值和尺寸的情况下改变代表性体积的数量。已经开发了一种利用压缩试验结果确定材料真实变形图的方法。通过对固定在刚性筒体中的自由侧面铝合金多孔试样的压缩分析,对比数值和实验结果,验证了采用三维相似原理的有效性
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引用次数: 0
Construction of Nonsingular Stress Fields for Non-Euclidean Model in Planar Deformations 平面变形非欧几里德模型非奇异应力场的构造
IF 0.4 Q3 Mathematics Pub Date : 2021-12-01 DOI: 10.17516/1997-1397-2021-14-6-815-821
M. Guzev, E. Riabokon
A material with a microstructure is considered. A material is described on the basis of a non-Euclidean model of a continuous medium. In equilibrium, the total stress field is represented as the sum of elastic and self-balanced stresses, the parameterization of which is given through the scalar curvature of the Ricci tensor. It is proposed to use the spectral biharmonic equation to calculate the scalar curvature. Using the example of a plane strain state of a material, it is shown that the amplitude coefficients of elastic and self-balanced fields can be chosen so that singularities of the same type compensate each other in the full stress field
考虑一种具有微观结构的材料。材料是根据连续介质的非欧几里得模型来描述的。在平衡状态下,总应力场表示为弹性应力和自平衡应力之和,其参数化通过里奇张量的标量曲率给出。提出了用谱双调和方程计算标量曲率的方法。以材料的平面应变状态为例,说明了弹性场和自平衡场的幅值系数可以选择,使得在全应力场中,相同类型的奇异点可以相互补偿
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引用次数: 0
Simulation of a Group Impact on a Heterogeneous Target of Finite Thickness 有限厚度非均质靶的群碰撞仿真
IF 0.4 Q3 Mathematics Pub Date : 2021-12-01 DOI: 10.17516/1997-1397-2021-14-6-700-711
A. Kraus, E. Kraus, I. Shabalin
Numerical simulation of the processes of high-speed loading of homogeneous and heteroge- neous targets by single projectiles, as well as by a group of projectiles with the same parameters in mass and momentum, has been carried out. Based on a comparison of the numerical simulation results for loading targets with different sets of projectiles, it is found that a projectile in the form of a ring knocks out the maximum hole in the target in terms of geometric dimensions, while a set of seven small disks removes the maximum mass from the target. The ring impact forms a continuous spall plate, which outruns the cloud of fragments of the destroyed material. Adding more than 5% of ceramics to the aluminum target volume does not allow the projectiles to penetrate through
本文对均质靶和异质靶高速加载过程进行了数值模拟,并对具有相同质量和动量参数的单弹和多弹高速加载过程进行了数值模拟。通过对不同弹丸组加载目标的数值模拟结果的比较,发现环形弹丸在几何尺寸上敲出的孔洞最大,而7个小圆盘的弹丸组使目标的质量最大。环形撞击形成了一个连续的碎片板,它超越了被破坏物质的碎片云。在铝靶体积中加入超过5%的陶瓷就不能让射弹穿透
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引用次数: 1
Numerical Modelling of Compression Cure High-Filled Polimer Material 压缩固化高填充聚合物材料的数值模拟
IF 0.4 Q3 Mathematics Pub Date : 2021-12-01 DOI: 10.17516/1997-1397-2021-14-6-805-814
K. A. Chekhonin, V. D. Vlasenko
The article presents phenomenological constitutive relations for modeling the compression curing of a highly filled polymer medium, obtained in the framework of the mechanics of an almost incompressible viscoelastic solid using the modified Herrmann variational principle. The relations are based on the representation of the medium as a composition of a fluid and solidified material, taking into account the history of continuous nucleation and deformation of a new phase in the temperature range of phase transformations. During the manufacturing process, different mechanisms lead to process-induced deformations and stresses. These mechanisms depend on thermal expansion, shrinkage, nonlinear viscoelastic properties of the material, and variation in local temperatures. In critical cases, these residual stresses can lead to initial degradation and up to failure of the material. A stable numerical algorithm for the problem’s solution has been developed on the base of finite element method. Numerical investigation of the stress and deformation in system during the polymerization process has been carried out. The evolution of curing stresses in a singular zone of domain has been investigated
本文采用改进的Herrmann变分原理,在几乎不可压缩粘弹性固体的力学框架下,提出了用于模拟高填充聚合物介质压缩固化的现象学本构关系。这些关系是基于将介质表示为流体和固化材料的组合,并考虑到在相变温度范围内新相的连续成核和变形的历史。在制造过程中,不同的机制导致了加工引起的变形和应力。这些机制取决于热膨胀、收缩、材料的非线性粘弹性和局部温度的变化。在关键情况下,这些残余应力可能导致材料的初始退化和失效。在有限元法的基础上,提出了求解该问题的稳定数值算法。对聚合过程中体系的应力和变形进行了数值研究。研究了单一区域内固化应力的演化规律
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引用次数: 0
Explicit-Implicit Schemes for Calculating the Dynamics of Layered Media with Nonlinear Conditions at Contact Boundaries 接触边界非线性条件下层状介质动力学计算的显隐格式
IF 0.4 Q3 Mathematics Pub Date : 2021-12-01 DOI: 10.17516/1997-1397-2021-14-6-768-778
I. Nikitin, V. Golubev
In this paper we consider the problem of dynamic loading of a deformable solid medium con- taining slip planes with nonlinear slip conditions on them. An explicit-implicit scheme was constructed for the numerical solution of the constitutive system of equations, which exactly reduces to correcting the stress tensor values after performing the elastic step. An implicit approximation of the constitutive relations containing a small parameter in the denominator of the nonlinear free term was used with the second order of the approximation. The correction procedure is applicable for those cases when the viscosity parameter of interlayers providing the sliding mode of the contact boundaries is not small. The solution of the problem of the seismic waves propagation in an inhomogeneous fractured geological massif in a two-dimensional case was obtained numerically
本文研究含有非线性滑移条件的滑移面的可变形固体介质的动加载问题。构造了本构方程组数值解的显隐格式,精确地简化为在执行弹性步骤后修正应力张量值。对非线性自由项的分母中包含一个小参数的本构关系进行隐式逼近,并对其进行二阶逼近。该修正程序适用于提供接触边界滑动模态的夹层粘度参数不小的情况。用数值方法得到了二维非均匀裂隙岩体中地震波传播问题的解
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引用次数: 3
Thawing of Permafrost During the Operation of Wells of North-Mukerkamyl Oil and Gas Field North-Mukerkamyl油气田井作业过程中冻土的融化
IF 0.4 Q3 Mathematics Pub Date : 2021-12-01 DOI: 10.17516/1997-1397-2021-14-6-795-804
M. Filimonov, N. Vaganova
Thawing of ice-saturated rocks due to climate change or various technological impacts will be accompanied by subsidence of the earth’s surface and development of dangerous permafrost geological processes called thermokarst, leading to accidents, which may destruct the wells. Currently, the investment programs of the development of new northern oil and gas fields are restricted. In this regard, reducing the cost of developing the oil and gas fields is an urgent problem. For example, diminishing the area of well pads and maintaining efficiency in the northern oil and gas fields can significantly reduce the costs, in particular, during the design stage. A model of unsteady thermal fields propagation in frozen soil from new well construction for the North Mukerkamyl oil and gas field is developed, taking into account the construction features, the annulus, and the complex lithology of the soil surrounding the well. It is planned to take into account climatic and technological factors, in particular, an annual rest period of well operation, which held from several hours to two weeks. The paper discusses the computational features of the thermal fields calculating in frozen ground from wells and explores the influence of various parameters, which in the computations may lead to a significant increasing of thawing area in the well pads
由于气候变化或各种技术影响,含冰岩石的融化将伴随着地球表面的下沉和称为热岩溶的危险永久冻土地质过程的发展,从而导致事故,这可能会破坏油井。目前,北方新油气田开发的投资项目受到限制。在这方面,降低油气田开发成本是一个迫切需要解决的问题。例如,在北部油气田,减少井台面积并保持效率可以显著降低成本,特别是在设计阶段。考虑北Mukerkamyl油气田新建井的施工特点、环空和井周土壤的复杂岩性,建立了该油气田新建井冻土中非稳态热场传播模型。计划考虑气候和技术因素,特别是每年的井作业休息时间,从几个小时到两周不等。本文讨论了井底冻土热场计算的计算特点,探讨了计算中各参数的影响,这些参数可能导致井底解冻面积的显著增加
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引用次数: 4
期刊
Journal of Siberian Federal University-Mathematics & Physics
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