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Moscow University Mechanics Bulletin最新文献

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Displacement Discontinuity Method Taking into Account the Curvature of the Crack 考虑裂纹曲率的位移不连续法
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-08-15 DOI: 10.3103/S0027133023030056
A. V. Zvyagin, D. D. Novov
{"title":"Displacement Discontinuity Method Taking into Account the Curvature of the Crack","authors":"A. V. Zvyagin,&nbsp;D. D. Novov","doi":"10.3103/S0027133023030056","DOIUrl":"10.3103/S0027133023030056","url":null,"abstract":"<p>The paper is devoted to the development of the displacement discontinuity method for plane problems of fracture mechanics in consideration of the curvature of crack lines. In this paper, some new representations of biharmonic functions are found. This is necessary to obtain the analytical solutions of problems for an elastic plane weakened by a crack in the form of a circular arc. A numerical method is proposed on the basis of these analytical solutions. The numerical values of the stress intensity factor are compared with its known analytical value.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 3","pages":"86 - 90"},"PeriodicalIF":0.3,"publicationDate":"2023-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4600469","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
Free Oscillations of a Conical Shell 锥形壳的自由振动
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-22 DOI: 10.3103/S0027133023020024
S. D. Algazin, A. A. Sinitsyn
{"title":"Free Oscillations of a Conical Shell","authors":"S. D. Algazin,&nbsp;A. A. Sinitsyn","doi":"10.3103/S0027133023020024","DOIUrl":"10.3103/S0027133023020024","url":null,"abstract":"<p>Free oscillations of a conical shell of finite length are considered. This problem was formulated in the 1960s. A modern algorithm without saturation is given in this paper, and specific calculations which show its high efficiency are discussed.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 2","pages":"29 - 35"},"PeriodicalIF":0.3,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4863232","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
Stress Concentration Tensor of a Stretched Isotropic Plane Weakened by a Grid of Isotropic Inclusions 被各向同性内含物网格削弱的拉伸各向同性平面的应力集中张量
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-22 DOI: 10.3103/S002713302302005X
I. F. Startsev
{"title":"Stress Concentration Tensor of a Stretched Isotropic Plane Weakened by a Grid of Isotropic Inclusions","authors":"I. F. Startsev","doi":"10.3103/S002713302302005X","DOIUrl":"10.3103/S002713302302005X","url":null,"abstract":"<p>This work presents the construction of a solution to the plane doubly periodic loading problem for an infinite elastic isotropic plane with elliptical inclusions. The plane is under one of three loads: it is stretched in the direction of one of the inclusion axes or it has a pure shear at infinity. The concept of stress concentration tensor is considered and an example of its construction is shown. The solution of the problem is reduced to the search for complex functions from the boundary conditions obtained from the equality of displacements and normal forces of the matrix and inclusions using conformal mappings and integration by the Muskhelishvili method. The effect of noncentral inclusions is expressed by using the small parameter method.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 2","pages":"54 - 61"},"PeriodicalIF":0.3,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4864615","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 Motion of Two Contacting Cylinders Interacting through Dry Friction Force 干摩擦力作用下两接触气缸运动的研究
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-22 DOI: 10.3103/S0027133023020036
E. E. Borisenko
{"title":"On the Motion of Two Contacting Cylinders Interacting through Dry Friction Force","authors":"E. E. Borisenko","doi":"10.3103/S0027133023020036","DOIUrl":"10.3103/S0027133023020036","url":null,"abstract":"<p>This paper concerned with the motion of two contacting cylinders with dry friction between them. Filippov’s theory of discontinuous differential equations is used to study the system of ordinary differential equations. The forward uniqueness of the solution is proven, the phase portrait is drawn, and its bifurcation is investigated. These results allow describing the motions of the given mechanical system, in particular, the conditions of seizing and permanent rotation.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 2","pages":"42 - 53"},"PeriodicalIF":0.3,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4864619","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
Necessary Existence Conditions for an Additional Integral in the Problem of Motion of a Rigid Body with a Fixed Point Bounded by the Surface of an Ellipsoid of Revolution in a Particle Flow 质点流中以旋转椭球面为界的固定点刚体运动问题中附加积分存在的必要条件
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-22 DOI: 10.3103/S0027133023020048
M. M. Gadzhiev, A. S. Kuleshov
{"title":"Necessary Existence Conditions for an Additional Integral in the Problem of Motion of a Rigid Body with a Fixed Point Bounded by the Surface of an Ellipsoid of Revolution in a Particle Flow","authors":"M. M. Gadzhiev,&nbsp;A. S. Kuleshov","doi":"10.3103/S0027133023020048","DOIUrl":"10.3103/S0027133023020048","url":null,"abstract":"<p>The problem of motion in a free molecular flow of particles of a rigid body with a fixed point bounded by the surface of an ellipsoid of revolution is considered. Necessary existence conditions for an additional analytic first integral independent of the energy integral are obtained in this problem.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 2","pages":"36 - 41"},"PeriodicalIF":0.3,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4640846","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
Calibration of an Accelerometer Unit under Restriction on Its Angular Positions in the Plane Case 平面情况下角位置限制下加速度计单元的标定
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-13 DOI: 10.3103/S0027133023010028
H. Yin, A. I. Matasov
{"title":"Calibration of an Accelerometer Unit under Restriction on Its Angular Positions in the Plane Case","authors":"H. Yin,&nbsp;A. I. Matasov","doi":"10.3103/S0027133023010028","DOIUrl":"10.3103/S0027133023010028","url":null,"abstract":"<p>The calibration problem for the accelerometer unit is considered under restrictions on its angular positions (for the plane case). The guaranteeing approach is applied to solve the problem. The solution is found in analytical form.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 1","pages":"13 - 17"},"PeriodicalIF":0.3,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4541913","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
Dilution of Precision in the Problem of Estimating the Aircraft Velocity by Means of Three-Beam Lidar Measurements 用三波束激光雷达测量估计飞机速度问题的精度稀释
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-13 DOI: 10.3103/S0027133023010053
V. M. Zheleznov
{"title":"Dilution of Precision in the Problem of Estimating the Aircraft Velocity by Means of Three-Beam Lidar Measurements","authors":"V. M. Zheleznov","doi":"10.3103/S0027133023010053","DOIUrl":"10.3103/S0027133023010053","url":null,"abstract":"<p>The paper presents our study on the dilution of precision in the problem of estimating the vehicle’s velocity using a three-beam Doppler lidar. Such a system has been proposed as an addition or replacement to the differential GNSS velocity solution in an airborne gravimetry system. We analytically derive optimal directions of lidar beams and use numerical simulation to obtain their attitude which minimizes the error covariance of estimated vertical velocity.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 1","pages":"18 - 22"},"PeriodicalIF":0.3,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4545514","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 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
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