V. P. Radin, E. V. Poznyak, O. V. Novikova, V. E. Tsoi
{"title":"Stability Analysis of Elastically Supported Pipeline","authors":"V. P. Radin, E. V. Poznyak, O. V. Novikova, V. E. Tsoi","doi":"10.3103/S0027133026700135","DOIUrl":"10.3103/S0027133026700135","url":null,"abstract":"<p>The article presents a calculation for the stability of the straight-line equilibrium shape of a section of a pipeline with elastic support under the action of a moving load. It studies the influence of the stiffness of the pipeline’s fastening on the position of the stability boundary in the plane of two parameters: the relative mass of the flowing liquid and the speed of the liquid flow through the pipeline. The solution of the perturbed motion equation is represented as a series based on the natural oscillations of an elastic rod. The stability regions’ boundaries are constructed by directly calculating characteristic roots and analyzing their trajectories using the Routh–Hurwitz criterion.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 3","pages":"79 - 86"},"PeriodicalIF":0.5,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149068054","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}
A. V. Khokhlov, I. N. Shibanov, E. S. Rodionov, A. E. Mayer
{"title":"A Method for Determining and Analyzing the Shape and Dimensions of Specimens Deformed in Tests by Their Photos and Its Software Implementation","authors":"A. V. Khokhlov, I. N. Shibanov, E. S. Rodionov, A. E. Mayer","doi":"10.3103/S0027133026700184","DOIUrl":"10.3103/S0027133026700184","url":null,"abstract":"<p>The algorithms and software are elaborated for processing and analysis of digital images of cylindrical metal or polymer samples deformed during tensile, compressive, or impact Taylor’s tests. The goal is to extract a wide range of quantitative characteristics of a sample shape from its single picture and to determine dimensions and mean strains in order to study material properties and to use the data to calibrate and verify material models.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 3","pages":"111 - 116"},"PeriodicalIF":0.5,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149067977","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":"Short-Wave Instability and Formation of Nonlinear Waves in a Thin Layer of Flowing Viscous Liquid","authors":"V. Ya. Shkadov, A. N. Beloglazkin, I. V. Shishkin","doi":"10.3103/S0027133026700147","DOIUrl":"10.3103/S0027133026700147","url":null,"abstract":"<p>The flow of a viscous liquid film over a solid surface deviating slightly from the horizon is considered. Linear and nonlinear waves excited by hydrodynamic instability are investigated. A new system of differential equations for the average thickness, local fluid flow rate, and friction on a solid surface is derived. The stability of a uniform flow with respect to small periodic wave disturbances in the longitudinal coordinate is investigated. It is shown that there is a finite instability interval in the long-wave range and an unlimited instability interval in the wave number in the short-wave range. It is established that with a spectral representation of solutions by a finite number of terms of the Fourier series, the existence of a regular nonlinear wave regime is possible over a large time interval. The regular solution agrees with experimental observations on the boundaries of linear instability and on the parameters of the nonlinear wave regime.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 3","pages":"87 - 94"},"PeriodicalIF":0.5,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149068055","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":"Development of Navigation Algorithms for Agricultural Vehicle Based on a Strapdown INS and Wheel Odometry","authors":"A. A. Golovan, D. I. Smolianov","doi":"10.3103/S0027133026700159","DOIUrl":"10.3103/S0027133026700159","url":null,"abstract":"<p>The article is devoted to the development of navigation algorithms for ground wheeled vehicles—particularly, agricultural machinery—using measurements from a strapdown inertial navigation system and wheel odometry data. The derivation is based on notations of the mechanics of aided inertial navigation systems.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 3","pages":"95 - 102"},"PeriodicalIF":0.5,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149068024","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":"Linearization of Some Classes of Monge–Ampère Equations","authors":"A. V. Aksenov, A. D. Polyanin","doi":"10.3103/S0027133026700160","DOIUrl":"10.3103/S0027133026700160","url":null,"abstract":"<p>New classes of Monge–Ampère equations of a fairly general form are described, depending on one to five arbitrary functions that allow exact linearization. The Euler, Legendre, and hodograph transformations are used.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 3","pages":"103 - 106"},"PeriodicalIF":0.5,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149068025","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":"Modeling the Gasdynamic Problems Using Locally Adaptive Meshes Based on Quadtree","authors":"O. G. Sutyrin","doi":"10.3103/S0027133026700172","DOIUrl":"10.3103/S0027133026700172","url":null,"abstract":"<p>The asymptotics of computational costs for simulations of gas flow with shock waves using adaptively refined dynamic meshes of the quadtree class is estimated. The Euler equations in Cartesian coordinates are numerically solved using the finite-volume CWENO method with a compact stencil. A simple criterion for splitting and recombination of computational cells is proposed based on an estimate of the local density gradient. A comparison is made with simulations with the finite-difference WENO method of the same order of approximation on a uniform grid. It is shown that the time and memory costs when refining locally-adapted grids increase significantly slower than for uniform grids.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 3","pages":"107 - 110"},"PeriodicalIF":0.5,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149068053","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":"Creep Rupture Strength of Rectangular Plates under Equal Biaxial Tension","authors":"V. V. Nazarov","doi":"10.3103/S0027133026700123","DOIUrl":"10.3103/S0027133026700123","url":null,"abstract":"<p>In experimental data obtained by a team of Japanese scientists, ambiguity was observed in the values of the creep lifetime under uniaxial and equal biaxial tension at the same principal stress value. At <span>(650^{circ})</span>C, the creep lifetime under uniaxial tension for Mod.9Cr1Mo martensitic steel was longer than under equal biaxial tension. At the same high temperature, the creep lifetime under equal biaxial tension for AISI 304 austenitic steel was significantly longer than under uniaxial tension. To describe these effects, an equivalent stress was proposed, expressed as the <span>(n)</span>th root of the sum of the <span>(n)</span>th powers of the principal stresses.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 2","pages":"72 - 78"},"PeriodicalIF":0.5,"publicationDate":"2026-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148807602","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":"Modeling of Dynamics in the Intermediate Layer between Contacting Bodies","authors":"A. V. Vlakhova, E. I. Makieva","doi":"10.3103/S0027133026700093","DOIUrl":"10.3103/S0027133026700093","url":null,"abstract":"<p>The interaction of deformable bodies with friction can be accompanied by brittle destruction of their surfaces, which causes a layer of gouged elements to appear in the contact area of the bodies. The elements of the layer, such as abrasive particles, can also be introduced from the outsides. In this paper, a model is constructed that allows judging the mechanism of changing the structure of a layer in the case when its elements are capable of rolling between interacting bodies.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 2","pages":"41 - 54"},"PeriodicalIF":0.5,"publicationDate":"2026-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148807604","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":"Approximate Integrable Model of the Asteroid–Satellite System","authors":"V. A. Proshkin","doi":"10.3103/S002713302670010X","DOIUrl":"10.3103/S002713302670010X","url":null,"abstract":"<p>The paper builds an integrable model of the relative motion of the asteroid–satellite system with parameters typical of the Main Asteroid Belt. It roughly describes the main effects of the evolution of the relative orbit and rotation of bodies, in particular, the dependence of the evolution of the orbit on the rotation of the asteroid. The model does not depend on resonances. Only the ratio of the sizes of bodies to the distance between the and the ratio of this distance to the distance to the Sun are considered sufficiently small.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 2","pages":"55 - 64"},"PeriodicalIF":0.5,"publicationDate":"2026-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148807601","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":"Plane Steady-State Flow of a Hardening Rigid-Plastic Body","authors":"A. N. Sakharov, A. Yu. Ryabinina","doi":"10.3103/S0027133026700111","DOIUrl":"10.3103/S0027133026700111","url":null,"abstract":"<p>The problem of a plane steady-state flow of an isotropically hardening plastic material is considered. In this paper, a new form of equations is obtained using the Airy stress function and the velocity function, which has a certain symmetry. The problem of a flow in a converging channel with rough walls is considered and it is shown that there are no solutions in the form of functions with separable variables.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 2","pages":"65 - 71"},"PeriodicalIF":0.5,"publicationDate":"2026-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148807603","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}