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Moscow University Mechanics Bulletin最新文献

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Linear Stability of Stratified Flow of Two Viscous Fluids 两种粘性流体分层流动的线性稳定性
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-10-20 DOI: 10.3103/S0027133022040021
O. A. Logvinov
{"title":"Linear Stability of Stratified Flow of Two Viscous Fluids","authors":"O. A. Logvinov","doi":"10.3103/S0027133022040021","DOIUrl":"10.3103/S0027133022040021","url":null,"abstract":"<p>Stability to small perturbations of two-layered parabolic flow in a plane channel is analyzed. The dispersion relation between a disturbance wavelength and its growth rate is valid in the whole range of wavenumbers and for moderately large Reynolds numbers. The results coincide with known asymptotic theory conclusions. Besides, a new effect for flows not only with viscosity stratification but also with density stratification is revealed. The agreement with experimental data is acceptable.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 4","pages":"117 - 126"},"PeriodicalIF":0.3,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4810530","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
Peculiarities in Applying the Theory of Elastoplastic Processes at Complex Loading along Curvilinear Deformation Trajectories 沿曲线变形轨迹的复杂载荷弹塑性过程理论应用的特殊性
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-10-20 DOI: 10.3103/S0027133022040033
I. N. Molodtsov
{"title":"Peculiarities in Applying the Theory of Elastoplastic Processes at Complex Loading along Curvilinear Deformation Trajectories","authors":"I. N. Molodtsov","doi":"10.3103/S0027133022040033","DOIUrl":"10.3103/S0027133022040033","url":null,"abstract":"<p>The approach to mathematical modeling of complex loading processes is based on the two ideas given by A.A. Il’yushin. One of them is called the Il’yushin three-term formula and sets the type of the differential dependence that connects the stress and strain deviator vectors in two- or-three-dimensional complex loading processes The second idea determines the type of the five-dimensional deformation trajectory of constant curvatures. The development of these ideas led to a new constitutive equation and to a new approach to mathematical modeling of complex loading processes. For the analysis of complex loading processes with deformation trajectories of zero curvature, Vasin’s material functions were introduced. These functions are at the center of the mathematical model. They are used for the representations of functionals and formulas for dissipative stresses and for an explicit representation of the stress vector. In this paper the features of applying the new approach to the processes with constant curvature trajectories are studied.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 4","pages":"110 - 116"},"PeriodicalIF":0.3,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4810527","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 Variational Principle of Lagrange of the Micropolar Theory of Elasticity in the Case of Transversely Isotropic Medium 横向各向同性介质中弹性微极理论的拉格朗日变分原理
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-10-20 DOI: 10.3103/S0027133022040045
A. V. Romanov
{"title":"A Variational Principle of Lagrange of the Micropolar Theory of Elasticity in the Case of Transversely Isotropic Medium","authors":"A. V. Romanov","doi":"10.3103/S0027133022040045","DOIUrl":"10.3103/S0027133022040045","url":null,"abstract":"<p>In this paper, a variational principle of Lagrange in the micropolar theory of elasticity for transversely isotropic and centrally symmetric material is formulated. The Ritz method and piecewise-polynomial serendipity shape functions are used to obtain the components of the tensor-block stiffness matrix and a system of linear equations.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 4","pages":"93 - 98"},"PeriodicalIF":0.3,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4807186","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: 2
Transient Oscillations of an Underground Pipeline and Soil at Inclined Fall of a Seismic Wave 地震波斜落作用下地下管道与土壤的瞬态振动
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-09-06 DOI: 10.3103/S0027133022030050
M. Sh. Israilov
{"title":"Transient Oscillations of an Underground Pipeline and Soil at Inclined Fall of a Seismic Wave","authors":"M. Sh. Israilov","doi":"10.3103/S0027133022030050","DOIUrl":"10.3103/S0027133022030050","url":null,"abstract":"<p>The coupled unsteady vibrations of an underground pipeline and elastic soil caused by an inclined fall of a plane seismic wave are studied. The coupled self-similar problems are formulated. An analytical solution of the external problem for the soil is obtained. This solution leads to a theoretical expression for the force of interaction between the pipeline and the soil, for which only empirical relations were previously available. Solutions for pipeline in supersonic and subsonic cases demonstrate significantly different behavior, which should be taken into account during earthquake resistance calculations.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 3","pages":"66 - 74"},"PeriodicalIF":0.3,"publicationDate":"2022-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4278232","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 a Rigid Body with a Fixed Point in a Flow of Particles 关于刚体在粒子流中带固定点的运动
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-09-06 DOI: 10.3103/S0027133022030037
M. M. Gadzhiev, A. S. Kuleshov
{"title":"On the Motion of a Rigid Body with a Fixed Point in a Flow of Particles","authors":"M. M. Gadzhiev,&nbsp;A. S. Kuleshov","doi":"10.3103/S0027133022030037","DOIUrl":"10.3103/S0027133022030037","url":null,"abstract":"<p>The problem of motion of a rigid body with a fixed point in a free molecular flow of particles is considered. It is shown that the equations of motion of this body generalize the classical Euler–Poisson equations of motion of a heavy rigid body with a fixed point, and they are represented in the form of the classical Euler–Poisson equations in the case when the surface of the body in a flow of particles is a sphere. The existence of first integrals in the considered system is discussed.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 3","pages":"75 - 86"},"PeriodicalIF":0.3,"publicationDate":"2022-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4602558","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
On the Stability of Special Modes of Gliding of a Finned Body 翅片体滑翔特殊模态的稳定性研究
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-09-06 DOI: 10.3103/S0027133022030062
Yu. M. Okunev, O. G. Privalova, V. A. Samsonov
{"title":"On the Stability of Special Modes of Gliding of a Finned Body","authors":"Yu. M. Okunev,&nbsp;O. G. Privalova,&nbsp;V. A. Samsonov","doi":"10.3103/S0027133022030062","DOIUrl":"10.3103/S0027133022030062","url":null,"abstract":"<p>One kind of a descent of a heavy finned body in resisting medium is considered. It is shown that the gliding mode is possible for which blades are located in a horizontal plane. The stability of such modes of gliding is studied. Trajectories of gliding are constructed for various initial speeds.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 3","pages":"87 - 91"},"PeriodicalIF":0.3,"publicationDate":"2022-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4602559","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
Friedrichs Inequalities and Sharpened Sufficient Stability Conditions of Plane-Parallel Flows 平面平行流动的Friedrichs不等式和强化充分稳定性条件
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-09-06 DOI: 10.3103/S0027133022030049
D. V. Georgievskii
{"title":"Friedrichs Inequalities and Sharpened Sufficient Stability Conditions of Plane-Parallel Flows","authors":"D. V. Georgievskii","doi":"10.3103/S0027133022030049","DOIUrl":"10.3103/S0027133022030049","url":null,"abstract":"<p>From the standpoint of the linearized stability theory, two eigenvalue problems for the Orr–Sommerfeld equation with two groups of boundary conditions having a certain mechanical meaning are considered. The stability parameter, which is a real part of the spectral parameter, is estimated on the basis of the integral relations method operating with quadratic functionals. The technique of the method involves the application of the Friedrichs inequality for various classes of complex-valued functions. Using the minimizing property of the first positive eigenvalues in the corresponding problems, the values of the constants in some Friedrichs inequalities are increased, which entails the strengthening of the stability sufficient integral estimates for plane-parallel shear flows in a plane layer.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 3","pages":"61 - 65"},"PeriodicalIF":0.3,"publicationDate":"2022-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4602560","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
Pulsed Control of a Dangerous Asteroid in the Domain of (mathbf{1:1}) Resonance 一颗危险小行星在(mathbf{1:1})共振域的脉冲控制
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-07-08 DOI: 10.3103/S0027133022020054
V. A. Proshkin, A. S. Chura
{"title":"Pulsed Control of a Dangerous Asteroid in the Domain of (mathbf{1:1}) Resonance","authors":"V. A. Proshkin,&nbsp;A. S. Chura","doi":"10.3103/S0027133022020054","DOIUrl":"10.3103/S0027133022020054","url":null,"abstract":"<p>The paper investigates the possibility of pulsed control of an asteroid approaching the Earth. The control scheme is fixed: this is a two-pulse flight with a gravitational maneuver near the Earth. The purpose of the first pulse is to correct the approach to the Earth. With the help of a gravitational maneuver, the asteroid is transferred to an osculating heliocentric orbit with a period close to the period of the Earth’s revolution around the Sun. The purpose of the second pulse is to transfer the asteroid to an osculating orbit, the period of rotation of which makes long-period fluctuations near the period of the Earth. An approximate method for evaluating the feasibility of a flight is proposed. Two examples are considered: the asteroids Apophis 2004 MN4 and Duende 2012 DA14.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 2","pages":"53 - 59"},"PeriodicalIF":0.3,"publicationDate":"2022-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4344693","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
Variation of the Size of Reachable Region of Second-Order Linear System 二阶线性系统可达区域大小的变化
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-07-08 DOI: 10.3103/S0027133022020029
D. I. Bugrov, M. I. Bugrova
{"title":"Variation of the Size of Reachable Region of Second-Order Linear System","authors":"D. I. Bugrov,&nbsp;M. I. Bugrova","doi":"10.3103/S0027133022020029","DOIUrl":"10.3103/S0027133022020029","url":null,"abstract":"<p>A linear time-invariant completely controllable second-order system is considered; all the eigenvalues of this system are different and have negative real parts. The control is considered to be a scalar piecewise continuous function bounded in absolute value. The size of the reachable region is defined as the maximum absolute value of the coordinates of the points of the reachable region on the phase plane. A monotonic dependence of the size of the reachable region on the parameters of the system is shown.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 2","pages":"47 - 52"},"PeriodicalIF":0.3,"publicationDate":"2022-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4342450","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
Theory of Five-Dimensional Elastoplastic Processes of Moderate Curvature 中等曲率五维弹塑性过程理论
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-07-08 DOI: 10.3103/S0027133022020030
I. N. Molodtsov
{"title":"Theory of Five-Dimensional Elastoplastic Processes of Moderate Curvature","authors":"I. N. Molodtsov","doi":"10.3103/S0027133022020030","DOIUrl":"10.3103/S0027133022020030","url":null,"abstract":"<p>A variant of the constitutive equations for describing complex loading processes with deformation trajectories of arbitrary geometry and dimension is considered. The vector constitutive equations and a new method of mathematical modeling the five-dimensional complex loading processes are obtained. This method is validated for two- and three-dimensional processes of constant curvature. The constitutive equations describe the stages of active loading and unloading. Explicit representations of the stress vector in an arbitrary deformation process are obtained. It is shown that the state parameters of the model in the five-dimensional deformation space are the four angles from the representation of the stress director vector in the Frenet frame, not directly, but in the form of four special functions whose form is known. These functions are called the Vasin functions. The process of complex loading along a three-dimensional helical trajectory of deformation is also considered, where, after diving and subsequent additional loading, the equations of the steady-state loading process are established. Similar results are obtained for five-dimensional helical deformation trajectories. Hence, for this class of processes there exists a correspondence between the geometries of the deformation and reaction paths in the form of a loading path.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"77 2","pages":"38 - 46"},"PeriodicalIF":0.3,"publicationDate":"2022-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4339822","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
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