{"title":"Parametric Excitation in a Model of Afferent Primary Neuron","authors":"D. I. Bugrov, M. M. Petrov","doi":"10.3103/S0027133025700220","DOIUrl":"10.3103/S0027133025700220","url":null,"abstract":"<p>A model of the afferent primary neuron in the form of the Hodgkin–Huxley equations modified by Aleksandrov–Soto is under consideration. It is shown that one of the model parameters (temperature) variation allows for a transition between the attraction areas of stationary and periodic solutions. It is concluded that the model under consideration can be used to describe the process of caloric vestibular stimulation.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 3","pages":"138 - 142"},"PeriodicalIF":0.7,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110519","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}
{"title":"Levitation of a Drop with Double Electric Layer Charge in Electric Field and a Ball Lightning under a Thundercloud","authors":"V. L. Natyaganov, S. A. Maslov","doi":"10.3103/S0027133025700219","DOIUrl":"10.3103/S0027133025700219","url":null,"abstract":"<p>Taking gravity force into account, the article researches the problem of dynamic drop levitation with a surface double electric layer charge in a vertical electric field. Basing on this problem generalization, the authors consider a new electrocapillary model variant of ball lightning in the kind of spherical Hicks vortex being in a state of quasi-zero gravity at the certain levitation height level and moving under the action of a tangent electric field under the thundercloud.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 3","pages":"129 - 137"},"PeriodicalIF":0.7,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110520","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}
{"title":"Local Stresses in a Hollow Cylinder before the Onset of Hydrogen Corrosion","authors":"V. V. Nazarov","doi":"10.3103/S0027133025700189","DOIUrl":"10.3103/S0027133025700189","url":null,"abstract":"<p>A mathematical model of the stress-strain state before the onset of high-temperature hydrogen corrosion of a steel hollow cylinder is proposed. Plane deformation of a cross section with cylindrical micropores around which local stresses arise is considered. A criterion is proposed in which the initiation of corrosion cracks is possible when the sum of the circumferential stress under the effect of hydrogen pressure inside the cylinder cavity and the circumferential local stress under the effect of methane pressure inside the micropore reaches the break creep strength.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 3","pages":"103 - 109"},"PeriodicalIF":0.7,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110516","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}
{"title":"Walking Robot’s Getting Out from an Emergency Situation on Its Back","authors":"Yu. F. Golubev, V. V. Koryanov, E. V. Melkumova","doi":"10.3103/S0027133025700207","DOIUrl":"10.3103/S0027133025700207","url":null,"abstract":"<p>A method of swinging of the six-legged robot to ensure its overturn from the upside-down position is proposed. As a support, we consider an inclined plane with a slight slope towards the flip, with a pit and optionally with a bump next to it. The support can be rotated sequentially around two different axes. It is shown that the overturn is possible with the help of cyclic movement of the group of legs if the body has an upper shell in the form of a truncated cylinder. The swinging is performed by the legs on the edge of the body opposite to the one through which the flip is to occur. An analytical study of the model problem was performed, along with a simulation of the full dynamics of the robot in contact with the support using the Universal Mechanism software package. Specifics of swinging due to the slope, the pit, and the bump are shown.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 3","pages":"120 - 128"},"PeriodicalIF":0.7,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110517","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}
{"title":"On the Effect of the Loading Cycle Shape on the Development of Brittle Fracture Process","authors":"E. B. Zavoichinskaya, V. V. Putilov","doi":"10.3103/S0027133025700190","DOIUrl":"10.3103/S0027133025700190","url":null,"abstract":"<p>The durability for a trapezoidal axial loading cycle can be estimated using a model of scale-structural fatigue for a sinusoidal shape. For materials with frequency-dependent fatigue properties, the evaluation of the rectangular cycle (except for the instantaneous impulses) by the sinusoidal cycle goes into a safety margin. At the zero load, the absence of a rectangular cycle, the maximum stress, on average, is 5<span>(%)</span> lower (the durability is 2.5 times less) at the same number of cycles than that for a sinusoidal cycle and the loading period. The results are confirmed by experimental data on high- and very high fatigue of metals and alloys.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 3","pages":"110 - 119"},"PeriodicalIF":0.7,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110518","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}
D. I. Merkulov, D. A. Pelevina, I. I. Merkulova, V. A. Turkov, V. A. Naletova
{"title":"Motion of a Body with Anisotropic Magnetizable Elastomer in a Magnetic Field of the Electromagnetic Coil Taking into Account the Interaction with the Inclined Plane","authors":"D. I. Merkulov, D. A. Pelevina, I. I. Merkulova, V. A. Turkov, V. A. Naletova","doi":"10.3103/S002713302570013X","DOIUrl":"10.3103/S002713302570013X","url":null,"abstract":"<p>In this paper the motion of a spherical body with anisotropic magnetizable elastomer under the action of the magnetic field of an electromagnetic coil is studied experimentally and theoretically when the motion of the body is limited from below by an inclined plane. The dependences of the current in the coil on the angle of inclination of the plane, which separate the region in which the body either is at rest, or moves along an inclined plane, or first moves along an inclined plane and then breaks away from it, or immediately breaks away from the inclined plane are constructed experimentally. Based on the previously proposed mathematical model, which takes into account the interaction of the body (rolling, sliding) with the inclined plane and does not take into account the deformation of the body and surface roughness, similar dependences are calculated. The qualitative difference between the experiment and the theory proposed earlier is shown: in the experiment the body on the horizontal surface begins to move when the current in the coil reaches a certain value, while according to the previously proposed theory, the body begins to move at arbitrarily small currents. An improvement of the previously proposed theory is carried out: the moment of support reaction associated with the roughness of surfaces and the presence of a certain area of contact between the body and the plane is taken into account. The new model is shown to better describe the experimental results.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 2","pages":"73 - 80"},"PeriodicalIF":0.7,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168081","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}
{"title":"Numerical Study of the Motion of Thin Plates in a Viscous Fluid at Small Reynolds Numbers","authors":"A. V. Zvyagin, A. A. Shamina, A. Yu. Shamin","doi":"10.3103/S0027133025700116","DOIUrl":"10.3103/S0027133025700116","url":null,"abstract":"<p>The paper considers the problems of motion of thin bodies in a viscous incompressible liquid. In the Stokes approximation, the equations of motion are linear. This assumption allows using the fundamental solutions to reduce the problem of motion of thin bodies of finite size to singular integral equations. A numerical method for solving the obtained integral equations for the three-dimensional motion of bodies int he form of a set of thin impermeable and permeable plates (not a direct boundary element method) is proposed. The solution to the problem in this method is obtained in the form of a finite series expansion according to the found basic functions. Using the fundamental solutions to the Stokes equations, the problem of three-dimensional motion of thin bodies in a viscous liquid is reduced to a system of singular integral equations. The program codes for solving the resulting system of singular integral equations are written. The program allows obtaining the velocity fields, stress components, vortex distribution, and forces and moments acting on the plates.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 2","pages":"53 - 62"},"PeriodicalIF":0.7,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168079","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}
{"title":"Simulation of Trajectory Parameters of Motion of an Object near the Pole Using Quasi-Geodetic Coordinates","authors":"S. P. Ablyasova","doi":"10.3103/S0027133025700165","DOIUrl":"10.3103/S0027133025700165","url":null,"abstract":"<p>The paper discusses the challenges of inertial navigation in polar regions, where it is impossible to determine the longitude and true heading at the poles. To overcome this difficulty, it is proposed to use quasi-coordinates and quasi-attitude angles, as well as relevant quasi-ECEF and quasi-geodetic coordinate systems. It is proved that the quasi-geodetic (quasi-geocentric) coordinates, quasi-attitude angles, velocity of an object and inertial sensors readings can be simulated by using quasi-coordinates instead of traditional ones.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 2","pages":"94 - 98"},"PeriodicalIF":0.7,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168082","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}
{"title":"Teaching Mechanics Courses to Mathematics Students","authors":"V. V. Kozlov, D. V. Georgievskii, A. V. Vlakhova","doi":"10.3103/S0027133025700177","DOIUrl":"10.3103/S0027133025700177","url":null,"abstract":"<p>Possible statements of mathematical problems arising from topics in special courses in mechanics are discussed.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 2","pages":"99 - 102"},"PeriodicalIF":0.7,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168078","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}
{"title":"Spectral Decompositions in Dynamic Linear Viscoelasticity Problems for Piecewise Homogeneous Bodies","authors":"S. G. Pshenichnov","doi":"10.3103/S0027133025700128","DOIUrl":"10.3103/S0027133025700128","url":null,"abstract":"<p>The nonstationary dynamic viscoelasticity problem for a piecewise homogeneous body is considered. It is known that, under certain conditions, the construction of a solution to such a problem can be reduced to finding the eigenvalues of the free oscillation problem. The properties of a spectral set are considered, and a method for searching for its elements if proposed. The theoretical considerations are used to study the unsteady dynamics of a piecewise homogeneous viscoelastic plane-parallel layer. For some specific parameters of this layer, the elements of the spectrum are found, and, then, the transition wave process is studied.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 2","pages":"63 - 72"},"PeriodicalIF":0.7,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168080","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}