D. I. Merkulov, D. A. Pelevina, V. A. Turkov, V. A. Naletova
{"title":"Interaction of Two Spherical Bodies Made of Anisotropic Magnetizable Material in a Uniform Magnetic Field","authors":"D. I. Merkulov, D. A. Pelevina, V. A. Turkov, V. A. Naletova","doi":"10.3103/S0027133025700281","DOIUrl":"10.3103/S0027133025700281","url":null,"abstract":"<p>The article considers the interaction of two spherical bodies made of an anisotropic magnetizable material in an applied uniform magnetic field. The force acting on one of these bodies from the nonuniform magnetic field induced by the other body is obtained and investigated analytically. It is shown that this force can be represented as the force of interaction of two dipoles with special magnetic moments. Calculations of the magnetic force values for different directions of the body’s anisotropy vectors and the magnetic field are made. A significant effect of anisotropy on the magnitude and direction of the magnetic force between the bodies is shown.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 4","pages":"178 - 183"},"PeriodicalIF":0.7,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145236792","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 Power Index in Description of Mass Distributions of Fragments of Disrupted Meteoroids and Asteroids","authors":"I. G. Brykina, L. A. Egorova","doi":"10.3103/S0027133025700244","DOIUrl":"10.3103/S0027133025700244","url":null,"abstract":"<p>Comparison of mass distributions of unevaporated fragments of meteoroids and asteroids disrupted in the atmosphere and fragments of bodies disrupted in impact experiments modeling the destruction of asteroids in outer space is carried out. For the analytical description of the distributions, a relation is used that is derived under the assumption that the distribution density of the number of fragments over masses obeys a power law. The ranges of variation in the power index are estimated in both cases. Approximate dependences of the power index on the specific impact energy (destruction in experiments) and on the number of fragments (destruction in the atmosphere) are obtained.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 4","pages":"152 - 160"},"PeriodicalIF":0.7,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145236795","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":"Dynamic Modeling of Perturbations in the Problem of Pendulum Oscillations","authors":"A. V. Kim","doi":"10.3103/S0027133025700268","DOIUrl":"10.3103/S0027133025700268","url":null,"abstract":"<p>On the example of a mathematical model of a spring pendulum, the paper considers the algorithmic and computer implementation of the dynamic regularization method in application to the problem of restoring perturbations acting on periodic movements of the systems.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 4","pages":"169 - 173"},"PeriodicalIF":0.7,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145236796","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":"Compression with Unloading of a Plane Elastoplastic Layer Nonhomogeneous over the Thickness","authors":"D. V. Georgievskii","doi":"10.3103/S002713302570027X","DOIUrl":"10.3103/S002713302570027X","url":null,"abstract":"<p>The application-oriented problem of two-stage compression of a plane layer (laminate), which is nonhomogeneous over the thickness and infinite in two directions, is considered. The constitutive relations of the layer material are consistent with the theory of small elastoplastic deformations. At the first step, one-dimensional compression takes place according to an active process described by a two-link polygonal line. At the second step, controlled unloading is carried out, as a result of which the thickness of the layer takes a given value at a given compression stress.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 4","pages":"174 - 177"},"PeriodicalIF":0.7,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145236794","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":"An Approximate Analytical Solution to a Transcendental Equation Describing the Heat Dissipation of a Gas Bubble Oscillating in a Liquid","authors":"N. S. Khabeev","doi":"10.3103/S0027133025700293","DOIUrl":"10.3103/S0027133025700293","url":null,"abstract":"<p>A method of approximate solution to the characteristic equation describing the heat dissipation during oscillations of bubbles in a liquid is presented in this article. An analytical formula for the damping decrement is derived.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 4","pages":"184 - 186"},"PeriodicalIF":0.7,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145236797","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":"Initial-Boundary Problems for Couple Stress Elastic Circular Cylindrical Shells","authors":"D. V. Tarlakovskii, A. Zh. Farmanyan","doi":"10.3103/S0027133025700232","DOIUrl":"10.3103/S0027133025700232","url":null,"abstract":"<p>Using the previously obtained equations of motion of thin couple stress elastic shells of constant thickness with an arbitrary smooth median surface, the corresponding equations for an isotropic couple stress circular cylindrical shell in the forces and displacements (kinematic parameters) are constructed, while natural kinematic and static boundary conditions are given at the end sections. As a result, twelve equations of motion and corresponding physical relations are obtained.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 4","pages":"143 - 151"},"PeriodicalIF":0.7,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145236791","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":"Calibration of a Strapdown Airborne Gravimeter at Repeated Flight Lines","authors":"V. S. Vyazmin, E. S. Bobkova","doi":"10.3103/S0027133025700256","DOIUrl":"10.3103/S0027133025700256","url":null,"abstract":"<p>The paper presents a method for in-flight calibration of a strapdown airborne gravimeter. it is assumed that the aircraft trajectory includes repeated flight lines and the gravity disturbance at each repeated line is the same. Therefore, it can be excluded as an unknown variable from the error equations of gravimeter’s inertial measurement unit by considering the differences between the measurements at two repeated lines. The remaining unknown values in the equations are the gravimeter’s inertial measurement unit instrumental errors (calibration parameters), which are considered constant during the flight. In the work, these parameters are estimated using the least squares method.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 4","pages":"161 - 168"},"PeriodicalIF":0.7,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145236793","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":"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}