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Moscow University Mechanics Bulletin最新文献

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On the Steady-State Deceleration Modes of Braking of a Finned Body in a Medium 论鳍状体在介质中制动的稳态减速模式
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-10-05 DOI: 10.3103/S0027133024700195
Yu. M. Okunev, O. G. Privalova, V. A. Samsonov
{"title":"On the Steady-State Deceleration Modes of Braking of a Finned Body in a Medium","authors":"Yu. M. Okunev,&nbsp;O. G. Privalova,&nbsp;V. A. Samsonov","doi":"10.3103/S0027133024700195","DOIUrl":"10.3103/S0027133024700195","url":null,"abstract":"<p>The problem of deceleration of a finned body in a homogeneous resistive medium is studied. The body is affected only by the medium. The plumage of the body consists of a single blade. It is shown that a circular kind trajectory of deceleration with somersaults is possible for blade profiles with both low and high aerodynamic quality. For airfoils with high aerodynamic quality, additional circular regimes of deceleration are possible that are in the style of a parachute.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 4","pages":"144 - 147"},"PeriodicalIF":0.3,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410104","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 Ball between Rotating Planes with Viscous Friction 论带粘性摩擦力的旋转平面间小球的运动
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-09-22 DOI: 10.3103/S0027133024700158
A. A. Koshelev, E. I. Kugushev, T. V. Shakhova
{"title":"On the Motion of a Ball between Rotating Planes with Viscous Friction","authors":"A. A. Koshelev,&nbsp;E. I. Kugushev,&nbsp;T. V. Shakhova","doi":"10.3103/S0027133024700158","DOIUrl":"10.3103/S0027133024700158","url":null,"abstract":"<p>The problem of the motion of a ball between two uniformly rotating horizontal planes with linear viscous friction is considered. Steady motions of the ball are found and the parameters of the system under which these motions are stable or unstable are indicated. It is shown that the equations of motion of a low-inertia ball have the form of Tikhonov’s equations with a small parameter as a coefficient at some derivatives. The dynamics of this ball on an arbitrary finite time interval in the limit as the central moment of inertia of the ball tends to zero is studied.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 3","pages":"110 - 117"},"PeriodicalIF":0.3,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413105","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 Variable-Structure Model for Studying Skidding of a Four-Wheeled Vehicle with Slipping Wheels 用于研究带滑动车轮的四轮汽车侧滑的可变结构模型
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-09-22 DOI: 10.3103/S0027133024700109
A. V. Vlakhova, A. P. Novoderova
{"title":"A Variable-Structure Model for Studying Skidding of a Four-Wheeled Vehicle with Slipping Wheels","authors":"A. V. Vlakhova,&nbsp;A. P. Novoderova","doi":"10.3103/S0027133024700109","DOIUrl":"10.3103/S0027133024700109","url":null,"abstract":"<p>Using the bicycle model, the dynamics of a biaxial four-wheeled vehicle is studied at the initial stage of skidding, which develops as a result of slipping of the driving axis wheels. To describe the interaction of wheels with the reference plane, the Coulomb friction model, the lateral slip model, and the nonholonomic model are used. A model of the variable structure describing the stages of movement of the vehicle is constructed. Asymptotic methods and the phase plane method are used for the study.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 3","pages":"75 - 81"},"PeriodicalIF":0.3,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413186","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
Trajectory of Motion of a Body Made of Anisotropic Magnetizable Elastomer with Different Constraints in a Field of a Coil with Current 由各向异性可磁化弹性体构成的物体在带电流线圈的磁场中的运动轨迹
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-09-22 DOI: 10.3103/S0027133024700110
D. I. Merkulov, D. A. Pelevina, V. A. Turkov, V. A. Naletova
{"title":"Trajectory of Motion of a Body Made of Anisotropic Magnetizable Elastomer with Different Constraints in a Field of a Coil with Current","authors":"D. I. Merkulov,&nbsp;D. A. Pelevina,&nbsp;V. A. Turkov,&nbsp;V. A. Naletova","doi":"10.3103/S0027133024700110","DOIUrl":"10.3103/S0027133024700110","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 the movement of such a body is proposed taking into account various limiters of its movement. The case when the body is rigidly fixed at the end of the rod, which is pivotally fixed on the axis of the coil with current, is considered. And also the case when the movement of the body is limited from below by a horizontal surface and the body can roll or slide on this surface is presented. The trajectories of the body movement from the position on the axis of the coil when the magnetic field is turned on are constructed in the case when the anisotropy vector at the initial instance is not parallel to the vector of the magnetic field. In this case, an anisotropic body (unlike an isotropic one) can deviate from the axis of the coil. The deviation of the body from the axis of the coil is calculated for various parameters of the problem.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 3","pages":"82 - 89"},"PeriodicalIF":0.3,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413103","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
An Inverse Method for Solving Problems about Oscillations of Mechanical Systems with Moving Boundaries 解决有运动边界的机械系统振荡问题的逆方法
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-09-22 DOI: 10.3103/S0027133024700122
V. L. Litvinov, K. V. Litvinova
{"title":"An Inverse Method for Solving Problems about Oscillations of Mechanical Systems with Moving Boundaries","authors":"V. L. Litvinov,&nbsp;K. V. Litvinova","doi":"10.3103/S0027133024700122","DOIUrl":"10.3103/S0027133024700122","url":null,"abstract":"<p>An analytical method for solving the wave equation describing the oscillations of systems with moving boundaries is considered. By changing the variables that stop the boundaries and leave the equation invariant, we reduce the original boundary value problem to a system of functional-difference equations, which can be solved using direct and inverse methods. An inverse method is described that allows approximating quite diverse laws of boundary motion by laws obtained from solving the inverse problem. New particular solutions are obtained for a fairly wide range of laws of boundary motion. A direct asymptotic method for the approximate solution of a functional equation is considered. The errors of the approximate method are estimated depending on the velocity of the boundary movement.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 3","pages":"90 - 96"},"PeriodicalIF":0.3,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413184","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
Effective Three-Dimensional Shell Model for Layer-by-Layer Study of Stress–Strain State of Three-Layer Irregular Cylindrical Shells 用于逐层研究三层不规则圆柱壳体应力应变状态的有效三维壳体模型
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-09-22 DOI: 10.3103/S0027133024700146
V. N. Bakulin
{"title":"Effective Three-Dimensional Shell Model for Layer-by-Layer Study of Stress–Strain State of Three-Layer Irregular Cylindrical Shells","authors":"V. N. Bakulin","doi":"10.3103/S0027133024700146","DOIUrl":"10.3103/S0027133024700146","url":null,"abstract":"<p>An approach to obtaining approximations and constructing a three-dimensional shell model of a filler layer based on the use of effective approximating functions used in two-dimensional models of bearing layers in the general case of irregular three-layer cylindrical shells, including those weakened by rectangular cutouts, is presented. The effective approximating functions of the displacements of the bearing layers are based on the initial approximation of deformations. As an example, studies of the influence of the angular dimension of rectangular cutouts on the stress and strain state of sandwich cylindrical shells are carried out for the first time.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 3","pages":"102 - 109"},"PeriodicalIF":0.3,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413185","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
Modeling of Processes in the Combustion Chamber of a Hybrid Solid-Fuel Engine 混合固体燃料发动机燃烧室过程建模
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-09-22 DOI: 10.3103/S0027133024700134
L. I. Stamov, V. V. Tyurenkova, E. V. Mikhalchenko, F. Chen, Yu. Meng
{"title":"Modeling of Processes in the Combustion Chamber of a Hybrid Solid-Fuel Engine","authors":"L. I. Stamov,&nbsp;V. V. Tyurenkova,&nbsp;E. V. Mikhalchenko,&nbsp;F. Chen,&nbsp;Yu. Meng","doi":"10.3103/S0027133024700134","DOIUrl":"10.3103/S0027133024700134","url":null,"abstract":"<p>This paper presents the results of three-dimensional computational modeling of processes in the combustion chamber of a hybrid solid-fuel engine. Polymethylmethacrylate was used as a solid fuel, and air was used as an oxidizer. In the model used, the heated oxidizer in gaseous form was fed into the combustion chamber at supersonic speed. As a result of the interaction of the oxidizer with the surface of the solid fuel, it begins to warm up and decompose with the release of flammable gases. The geometry of the combustion chamber and solid fuel was based on experimental work. The results of a series of calculations for various geometries of the combustion chamber were presented. The distribution of physical parameters corresponding to the diffusion mode of combustion was obtained.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 3","pages":"97 - 101"},"PeriodicalIF":0.3,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413181","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
Unsteady Wave Processes in a Cylinder Made of Viscoelastic Functionally Graded Material 粘弹性功能分级材料圆柱体中的非稳态波过程
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-08-01 DOI: 10.3103/S0027133024700055
S. G. Pshenichnov
{"title":"Unsteady Wave Processes in a Cylinder Made of Viscoelastic Functionally Graded Material","authors":"S. G. Pshenichnov","doi":"10.3103/S0027133024700055","DOIUrl":"10.3103/S0027133024700055","url":null,"abstract":"<p>The paper considers the problem of unsteady wave propagation in the cross section of an infinite hollow cylinder made of a viscoelastic functionally graded material with nonmonotonically varying properties along the radius. The cylinder is replaced by a piecewise-homogeneous one with a large number of coaxial homogeneous layers approximating the properties of the source material. Based on the previously constructed solution for a layered cylinder, wave processes in a cylinder made of a viscoelastic functionally graded material with different types of nonmonotonic inhomogeneities are studied.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 2","pages":"29 - 37"},"PeriodicalIF":0.3,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882548","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 Unilateral Discrete Contact Problem for a Functionally Graded Elastic Strip 功能分级弹性带的单侧离散接触问题
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-08-01 DOI: 10.3103/S0027133024700080
A. A. Bobylev
{"title":"The Unilateral Discrete Contact Problem for a Functionally Graded Elastic Strip","authors":"A. A. Bobylev","doi":"10.3103/S0027133024700080","DOIUrl":"10.3103/S0027133024700080","url":null,"abstract":"<p>The problem is considered for the indentation of a functionally graded strip by a rigid punch of finite dimension with a surface microrelief. Boundary variational formulations of the problem are given using the Poincaré–Steklov operator that maps contact stresses to displacements. To approximate this operator, the discrete Fourier transform is applied. A variational formulation of a boundary value problem for transforms of displacements is used to calculate a transfer function. Some regularities of contact interaction are established.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 2","pages":"56 - 68"},"PeriodicalIF":0.3,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882551","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
Moment-Membrane Theory of Elastic Shells of Large Deflection as a Continuum Model of Deformation Behavior of Two-Dimensional Nanomaterials 作为二维纳米材料变形行为连续模型的大挠度弹性壳的动量-膜理论
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-08-01 DOI: 10.3103/S0027133024700079
S. H. Sargsyan
{"title":"Moment-Membrane Theory of Elastic Shells of Large Deflection as a Continuum Model of Deformation Behavior of Two-Dimensional Nanomaterials","authors":"S. H. Sargsyan","doi":"10.3103/S0027133024700079","DOIUrl":"10.3103/S0027133024700079","url":null,"abstract":"<p>This paper uses the assumption on the smallness of deformations, flexural-torsional characteristics and angles of rotation of the shell elements, as well as the assumption on shell’s shallowness. Based on this assumption, a geometrically nonlinear moment-membrane theory of elastic shells is constructed with the help of the three-dimensional geometrically nonlinear moment theory of elasticity and by preserving only those nonlinear terms that come from normal displacement (deflection) and its derivatives. The constructed theory is interpreted as a continuum theory of the deformation behavior of flexible two-dimensional nanomaterials, in particular, of carbon nanotubes and graphene.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 2","pages":"43 - 55"},"PeriodicalIF":0.3,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882550","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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