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Moscow University Mechanics Bulletin最新文献

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On the Positive Definiteness of the Poincaré–Steklov Operator for Elastic Half-Plane 弹性半平面上poincar_3 - steklov算子的正确定性
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-03-04 DOI: 10.3103/S0027133021060029
A. A. Bobylev
{"title":"On the Positive Definiteness of the Poincaré–Steklov Operator for Elastic Half-Plane","authors":"A. A. Bobylev","doi":"10.3103/S0027133021060029","DOIUrl":"10.3103/S0027133021060029","url":null,"abstract":"<p>The Poincaré–Steklov operator that maps normal stresses to\u0000normal displacements on a part of a half-plane boundary is\u0000studied. A boundary value problem is formulated to introduce the\u0000associated Poincaré–Steklov operator. An integral\u0000representation based on the solution to the Flamant problem for\u0000an elastic half-plane subjected to a concentrated normal force is\u0000given for the operator under consideration. It is found that the\u0000properties of the Poincaré–Steklov operator depend on the\u0000choice of kinematic conditions specifying the rigid-body\u0000displacements of the half-plane. Positive definiteness conditions\u0000of the Poincaré–Steklov operator are obtained. It is shown that\u0000a suitable scaling of the computational domain can be used to\u0000provide the positive definiteness of this operator.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 6","pages":"156 - 162"},"PeriodicalIF":0.3,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4173712","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
The Mathieu Equation near the Boundaries of the Second and Third Resonance Zones 第二和第三共振区边界附近的Mathieu方程
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-03-04 DOI: 10.3103/S0027133021060030
V. M. Budanov, L. F. Davudova
{"title":"The Mathieu Equation near the Boundaries of the Second and Third Resonance Zones","authors":"V. M. Budanov,&nbsp;L. F. Davudova","doi":"10.3103/S0027133021060030","DOIUrl":"10.3103/S0027133021060030","url":null,"abstract":"<p>A second-order differential equation with periodic coefficients is considered. The reduction of this equation to a first-order nonlinear equation is shown. The fourth approximation of the second resonance zone and the third approximation of the third resonance zone are constructed for the Mathieu equation describing the behavior of solutions near the boundaries of these zones.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 6","pages":"147 - 155"},"PeriodicalIF":0.3,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4176066","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
Initial Alignment Method for a Strapdown Inertial Navigation System on a Swing Base 摆基捷联惯导系统的初始对准方法
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-02-11 DOI: 10.3103/S0027133021050022
G. O. Barantsev, A. A. Golovan, P. Yu. Kuznetsov
{"title":"Initial Alignment Method for a Strapdown Inertial Navigation System on a Swing Base","authors":"G. O. Barantsev,&nbsp;A. A. Golovan,&nbsp;P. Yu. Kuznetsov","doi":"10.3103/S0027133021050022","DOIUrl":"10.3103/S0027133021050022","url":null,"abstract":"<p>The article is devoted to deriving reference models for the problem of initial alignment of a strapdown inertial navigation system (INS) on a swing base. It is assumed that the system does not move relative to the Earth, but its body can make uncontrolled angular motions. The described models are based on the approximation of the readings of INS accelerometers from projections on the axes of the instrument reference frame ‘‘frozen’’ in the inertial space, and the orientation of the frame is determined by its position at the start of the alignment.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 5","pages":"136 - 141"},"PeriodicalIF":0.3,"publicationDate":"2022-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4454907","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
Bifurcations in Dynamics of Chaplygin Ball Chaplygin球动力学中的分岔
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-02-11 DOI: 10.3103/S0027133021050046
Shamil Magomedov
{"title":"Bifurcations in Dynamics of Chaplygin Ball","authors":"Shamil Magomedov","doi":"10.3103/S0027133021050046","DOIUrl":"10.3103/S0027133021050046","url":null,"abstract":"<p>The stationary motions of an inhomogeneous dynamically symmetric ball on an absolutely rough plane are studied in the special case of the center of mass passing the highest point. The system is analyzed numerically, and the existence of stable and unstable precessions is discovered. The results are presented in the form of bifurcation diagrams.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 5","pages":"142 - 146"},"PeriodicalIF":0.3,"publicationDate":"2022-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4454908","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
Rotation of Isosceles Tetrahedron in Central Newtonian Force Field: Staude Cone 中心牛顿力场中等腰四面体的旋转:Staude锥
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-02-11 DOI: 10.3103/S0027133021050034
A. A. Burov, E. A. Nikonova
{"title":"Rotation of Isosceles Tetrahedron in Central Newtonian Force Field: Staude Cone","authors":"A. A. Burov,&nbsp;E. A. Nikonova","doi":"10.3103/S0027133021050034","DOIUrl":"10.3103/S0027133021050034","url":null,"abstract":"<p>The Staude cone is considered in the problem of motion of a homogeneous isosceles tetrahedron in a central Newtonian force field. The nature of the Staude cone degeneracy is studied for the case when an isosceles tetrahedron is close to regular. It is shown how the Staude cone equations can be obtained within the framework of the Routh theory.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 5","pages":"123 - 129"},"PeriodicalIF":0.3,"publicationDate":"2022-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4455257","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
Relationship between Theory of Incompressible Disperse Systems and Theory of Fluidization 不可压缩分散系统理论与流化理论的关系
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2022-02-11 DOI: 10.3103/S0027133021050058
Ya. D. Yankov
{"title":"Relationship between Theory of Incompressible Disperse Systems and Theory of Fluidization","authors":"Ya. D. Yankov","doi":"10.3103/S0027133021050058","DOIUrl":"10.3103/S0027133021050058","url":null,"abstract":"<p>This work proposes a mathematical model of dispersed systems with constant number densities of the dispersed and carrier phases (incompressible dispersed system). This model makes it possible to construct a physically meaningful and mathematically correct theory of the movement of bubbles in a boiling (fluidized) layer.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 5","pages":"130 - 135"},"PeriodicalIF":0.3,"publicationDate":"2022-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4753937","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 Influence of Surface Forces on Diffusion in Solution at the Initial Section of Liquid Film Development 液膜显影初期表面力对溶液中扩散的影响
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2021-11-02 DOI: 10.3103/S0027133021040038
A. N. Beloglazkin, V. Ya. Shkadov
{"title":"On the Influence of Surface Forces on Diffusion in Solution at the Initial Section of Liquid Film Development","authors":"A. N. Beloglazkin,&nbsp;V. Ya. Shkadov","doi":"10.3103/S0027133021040038","DOIUrl":"10.3103/S0027133021040038","url":null,"abstract":"<p>The flow of a film of a viscous liquid is considered. The liquid is a weak solution containing a gas phase and a volatile surfactant. The distribution of the latter in the layer is controlled by the diffusion in the liquid volume, the adsorption–desorption processes between the liquid volume and the adsorbed near-surface layer, and the evaporation from the surface into the boundary gaseous medium. The process of the gas phase penetration from the external gas flow is specified by the diffusion inside the film.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 4","pages":"118 - 121"},"PeriodicalIF":0.3,"publicationDate":"2021-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4100142","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
Controlled Transition in a Model of Biomass Dynamics of Root Hemiparasitic Plants 根半寄生植物生物量动态模型的受控过渡
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2021-11-02 DOI: 10.3103/S0027133021040026
V. V. Aleksandrov, T. B. Aleksandrova, L. L. Cruzado, R. J. A. Escamilla
{"title":"Controlled Transition in a Model of Biomass Dynamics of Root Hemiparasitic Plants","authors":"V. V. Aleksandrov,&nbsp;T. B. Aleksandrova,&nbsp;L. L. Cruzado,&nbsp;R. J. A. Escamilla","doi":"10.3103/S0027133021040026","DOIUrl":"10.3103/S0027133021040026","url":null,"abstract":"<p>The article shows the possibility of solving the problem of the transition between periodic and point attractors in the bistable Rosenzweig–MacArthur model with modifications for the dynamics of root hemiparasitic plants and their hosts.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 4","pages":"111 - 117"},"PeriodicalIF":0.3,"publicationDate":"2021-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4099806","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 Short-Wave Instability of One-Dimensional Radiative-Convective Models of Atmosphere in Quasi-Hydrostatic Approximation 准流体静力近似下一维大气辐射对流模式的短波不稳定性
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2021-11-02 DOI: 10.3103/S002713302104004X
X. Xu
{"title":"On Short-Wave Instability of One-Dimensional Radiative-Convective Models of Atmosphere in Quasi-Hydrostatic Approximation","authors":"X. Xu","doi":"10.3103/S002713302104004X","DOIUrl":"10.3103/S002713302104004X","url":null,"abstract":"<p>One-dimensional radiative-convective models are widely used for studying long-term climate and the influence of various processes (condensation of water vapor, motion of droplets, and their impacts on radiative fluxes, etc.) on the hydrodynamics of the atmosphere. However, long-term prediction of climate is difficult due to the properties of the systems of equations, i.e., a small short-wave perturbation of the basic solution leads to a local sharp increase in the amplitude of perturbation. In this work, a one-dimensional nonstationary model with quasi-hydrostatic approximation is established and the short-wave instability is analyzed for various approximate models with the quasi-hydrostatic approximation.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 4","pages":"105 - 110"},"PeriodicalIF":0.3,"publicationDate":"2021-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4099805","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
Bulgakov Problem for a Hyperbolic Equation and Robust Stability 一类双曲型方程的Bulgakov问题及鲁棒稳定性
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2021-11-02 DOI: 10.3103/S0027133021040051
V. N. Zhermolenko, R. Temoltzi-Ávila
{"title":"Bulgakov Problem for a Hyperbolic Equation and Robust Stability","authors":"V. N. Zhermolenko,&nbsp;R. Temoltzi-Ávila","doi":"10.3103/S0027133021040051","DOIUrl":"10.3103/S0027133021040051","url":null,"abstract":"<p>An inhomogeneous wave equation with dissipation in the presence of an external uncertain perturbation is considered. The problem of finding solutions with the maximum possible amplitudes is investigated. A method for solving this problem based on the Fourier method of separating variables and the Bulgakov problem of the maximum deviation of solutions of second-order ordinary differential equations with external uncertain perturbations is proposed. The application of the Fourier method is justified. The robust stability property of the considered wave equation is investigated.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 4","pages":"95 - 104"},"PeriodicalIF":0.3,"publicationDate":"2021-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4100134","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
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