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Moscow University Mechanics Bulletin最新文献

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On the Variational Principle of Lagrange of the Micropolar Elasticity Theory in the Case of Orthotropic Medium 正交各向异性介质下微极弹性理论的拉格朗日变分原理
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-13 DOI: 10.3103/S0027133023010041
A. V. Romanov
{"title":"On the Variational Principle of Lagrange of the Micropolar Elasticity Theory in the Case of Orthotropic Medium","authors":"A. V. Romanov","doi":"10.3103/S0027133023010041","DOIUrl":"10.3103/S0027133023010041","url":null,"abstract":"<p>In this paper, the variational principle of Lagrange, the Ritz\u0000method and piecewise polynomial serendipity shape functions are\u0000used to obtain the stiffness matrix and a system of linear\u0000algebraic equations in the micropolar theory of elasticity for\u0000orthotropic and centrally symmetric material.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 1","pages":"23 - 28"},"PeriodicalIF":0.3,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4546365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Motion of an Anisotropic Magnetizable Elastomer in the Field of a Coil with Current Taking into Account the Interaction with Inclined Surface 考虑与斜面相互作用的各向异性可磁化弹性体在电流线圈场中的运动
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-13 DOI: 10.3103/S002713302301003X
D. I. Merkulov, D. A. Pelevina, V. A. Turkov, V. A. Naletova
{"title":"Motion of an Anisotropic Magnetizable Elastomer in the Field of a Coil with Current Taking into Account the Interaction with Inclined Surface","authors":"D. I. Merkulov,&nbsp;D. A. Pelevina,&nbsp;V. A. Turkov,&nbsp;V. A. Naletova","doi":"10.3103/S002713302301003X","DOIUrl":"10.3103/S002713302301003X","url":null,"abstract":"<p>In this paper, the motion of a spherical body with anisotropic magnetizable elastomer in a viscous liquid under the action of a magnetic field of the coil with current is investigated. A mathematical model of such a body motion taking into account the interaction (rolling, sliding) with the inclined plane is proposed. The calculated trajectories of the body movement from the initial position on the coil axis when the magnetic field is turned on are plotted. The parameters are determined at which the movement over the inclined plane occurs. The maximum deviation of the body from the coil axis for various problem parameters is calculated.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 1","pages":"1 - 6"},"PeriodicalIF":0.3,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4545513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical Modeling of Branched Cracks 分支裂纹的数值模拟
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-13 DOI: 10.3103/S002713302301006
A. V. Zvyagin, A. S. Udalov
{"title":"Numerical Modeling of Branched Cracks","authors":"A. V. Zvyagin,&nbsp;A. S. Udalov","doi":"10.3103/S002713302301006","DOIUrl":"10.3103/S002713302301006","url":null,"abstract":"<p>With the growth of various microdefects in bodies, complex systems of cracks of arbitrary configuration can be generated. This paper presents a technique for numerical simulation of complex branched cracks, which makes it possible to analyze such systems. Using the method proposed by the authors, it is possible to find the stress and displacement fields as well as the stress intensity factors, the analysis of which leads to the conclusion about the influence of the considered configuration on the crack stability. The paper also contains the comparison with the results of other authors in the problem of a two-link crack.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 1","pages":"7 - 12"},"PeriodicalIF":0.3,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4545520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Atmospheric Vortex Excited by a Gasdynamic Instability 由气体动力不稳定性激发的大气涡旋
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-02-28 DOI: 10.3103/S0027133022060048
V. Ya. Shkadov, A. N. Beloglazkin
{"title":"Atmospheric Vortex Excited by a Gasdynamic Instability","authors":"V. Ya. Shkadov,&nbsp;A. N. Beloglazkin","doi":"10.3103/S0027133022060048","DOIUrl":"10.3103/S0027133022060048","url":null,"abstract":"<p>The paper studies the temperature conditions under which the emergence and self-development of vortex motion in the real atmosphere are possible.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 6","pages":"162 - 169"},"PeriodicalIF":0.3,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5077393","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Instability with Probability One of Equilibrium of Ideal Incompressible Liquid Situated in a Vertical Cylinder under Its Random Coaxial Vibration 竖直圆柱内理想不可压缩液体在随机同轴振动下的概率为1的平衡不稳定性
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-02-28 DOI: 10.3103/S0027133022060024
I. L. Antonov
{"title":"On the Instability with Probability One of Equilibrium of Ideal Incompressible Liquid Situated in a Vertical Cylinder under Its Random Coaxial Vibration","authors":"I. L. Antonov","doi":"10.3103/S0027133022060024","DOIUrl":"10.3103/S0027133022060024","url":null,"abstract":"<p>The paper concerns with the equilibrium of the ideal incompressible liquid situated in a moving cylindrical vertical vessel. It is proved that the equilibrium is unstable with probability one if the vessel movement is defined as the vertical random vibration. Random vibration is simulated by stationary Markov chain.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 6","pages":"155 - 161"},"PeriodicalIF":0.3,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5079823","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Neural Network Motion Control of a Spherical Robot in Planar Case 平面情况下球面机器人的神经网络运动控制
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-02-28 DOI: 10.3103/S0027133022060036
N. V. Nor
{"title":"Neural Network Motion Control of a Spherical Robot in Planar Case","authors":"N. V. Nor","doi":"10.3103/S0027133022060036","DOIUrl":"10.3103/S0027133022060036","url":null,"abstract":"<p>A plane model of a spherical robot containing a platform with a wheel is considered. Dynamic equations are derived for this robot and some assumptions concerning these equations are also discussed. A control is proposed using a multilayer neural network.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 6","pages":"170 - 176"},"PeriodicalIF":0.3,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5083497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic Tension of a Sheet Made of Rigid-Plastic Material 刚塑性材料薄板的动态张力
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-02-28 DOI: 10.3103/S002713302206005X
I. M. Tsvetskov
{"title":"Dynamic Tension of a Sheet Made of Rigid-Plastic Material","authors":"I. M. Tsvetskov","doi":"10.3103/S002713302206005X","DOIUrl":"10.3103/S002713302206005X","url":null,"abstract":"<p>The stress-strain state arising under dynamic stretching of a homogeneous sheet of an incompressible ideally rigid-plastic material, which obeys the Mises–Hencky criterion, is studied. The lateral boundary is stressfree and the longitudinal velocities are given at the ends. The possibility of thickening or thinning of the cross section along the length of the sheet is taken into account, which simulates necking and further development of the neck. Two characteristic stretching regimes are revealed: one of them depends on the velocity at which the end sections move away from each other and the other one depends on their acceleration. For the second regime, the asymptotic integration-based analysis allows approximately determining the stress-strain state parameters.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 6","pages":"177 - 185"},"PeriodicalIF":0.3,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5074319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Anisotropic Scalar Constitutive Equations and Corresponding Models of Viscoplastic Flow 粘塑性流动的各向异性标量本构方程及相应模型
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-02-02 DOI: 10.3103/S002713302205003X
D. V. Georgievskii
{"title":"Anisotropic Scalar Constitutive Equations and Corresponding Models of Viscoplastic Flow","authors":"D. V. Georgievskii","doi":"10.3103/S002713302205003X","DOIUrl":"10.3103/S002713302205003X","url":null,"abstract":"<p>The tensor linear anisotropic constitutive relations of incompressible viscoplastic flow connecting the stress deviator and strain rates and the following scalar relation connecting the quadratic stress invariant and the hardening function are considered. In the case of a perfect plastic material, the latter relation is an anisotropic Mises–Hencky quadratic criterion of plasticity. The mutual dependence of the fourth-rank tensors involved in tensor and scalar constitutive relations is established. As an illustration, the results are given for an orthotropic material.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 5","pages":"143 - 145"},"PeriodicalIF":0.3,"publicationDate":"2023-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4081402","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Solution to Heat Equation with Exacerbation and Stopped Heat Wave 具有加剧和停止的热浪方程的解
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-02-02 DOI: 10.3103/S0027133022050016
V. L. Natyaganov, Yu. D. Skobennikova
{"title":"A Solution to Heat Equation with Exacerbation and Stopped Heat Wave","authors":"V. L. Natyaganov,&nbsp;Yu. D. Skobennikova","doi":"10.3103/S0027133022050016","DOIUrl":"10.3103/S0027133022050016","url":null,"abstract":"<p>The generalization of Samarskii–Sobol’ solution in the mode of heat exacerbation and localization is obtained for a quasilinear heat equation in half-space. The analogy of this solution with summer heating of moisture-saturated soil in the permafrost zone is discussed.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 5","pages":"151 - 153"},"PeriodicalIF":0.3,"publicationDate":"2023-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4078060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Seismic Oscillations of Semi-Infinite Underground Pipeline 半无限地下管线的地震振动研究
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-02-02 DOI: 10.3103/S0027133022050041
M. Sh. Israilov, S. E. Nosov
{"title":"On Seismic Oscillations of Semi-Infinite Underground Pipeline","authors":"M. Sh. Israilov,&nbsp;S. E. Nosov","doi":"10.3103/S0027133022050041","DOIUrl":"10.3103/S0027133022050041","url":null,"abstract":"<p>Unsteady oscillations of a semi-infinite underground pipeline and elastic soil caused by the propagation of a longitudinal seismic wave along the pipeline are studied. The problem is not self-similar and its solution meets significant difficulties unlike the case of an infinite pipeline. It is shown that the formulation and consideration of this problem performed earlier by Rashidov are incorrect and do not lead to its solution.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 5","pages":"146 - 150"},"PeriodicalIF":0.3,"publicationDate":"2023-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4078400","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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