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Moscow University Mechanics Bulletin最新文献

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On the Method for Identifying Inhomogeneous Fields of Residual Stresses 非均匀残余应力场识别方法研究
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-08-15 DOI: 10.3103/S0027133023030044
E. B. Zavoychinskaya, A. S. Plotnikov
{"title":"On the Method for Identifying Inhomogeneous Fields of Residual Stresses","authors":"E. B. Zavoychinskaya,&nbsp;A. S. Plotnikov","doi":"10.3103/S0027133023030044","DOIUrl":"10.3103/S0027133023030044","url":null,"abstract":"<p>A numerical-analytical method for three-axial inhomogeneous elastic residual stress determination based on the data of the displacement optical measurement during the incremental hole drilling method is presented. The constitutive relations for the displacements as the three variable functions (in plane of the hole and along its depth) are represented by the Volterra integral operators. A method for finding the basic functions is given. The stress tensor components recovered by the proposed method are in good agreement with the well-known solution of a problem where the residual stresses are formed by bending an elastic-perfectly plastic beam.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 3","pages":"63 - 70"},"PeriodicalIF":0.3,"publicationDate":"2023-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4599425","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
Constitutive Equations with Dissipative Stresses 具有耗散应力的本构方程
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-08-15 DOI: 10.3103/S0027133023030032
I. N. Molodtsov
{"title":"Constitutive Equations with Dissipative Stresses","authors":"I. N. Molodtsov","doi":"10.3103/S0027133023030032","DOIUrl":"10.3103/S0027133023030032","url":null,"abstract":"<p>A new class of constitutive equations for complex loading processes is obtained. It has three state functionals. A new method of mathematical modeling and mathematical principle is formulated. According to them, physically correct equations of state are changed by introducing gyroscopic terms that do not perform mechanical work. The constitutive equations of complex loading processes with two state functionals under conditions of force and kinematic loading are constructed. Their connection with the Il’yushin formula and modern theories of plastic flow is obtained. A mathematical model of the domain mechanism of plasticity is formulated. It represents a real deformable continuum as a mixture of an elastoplastic continuum and a Cosserat continuum—flat veinlets (domains of plastic deformation that are the zones of large relative rotations). A physical justification for the inclusion of the asymmetric part of the stress and rotation tensor in the composition of the thermodynamic parameters of the model is given.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 3","pages":"71 - 79"},"PeriodicalIF":0.3,"publicationDate":"2023-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4598392","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 Some Properties of the Kalman Filter in the Pedestrian Navigation Problem 行人导航问题中卡尔曼滤波的若干性质
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-08-15 DOI: 10.3103/S0027133023030020
Yu. V. Bolotin, A. V. Bragin
{"title":"On Some Properties of the Kalman Filter in the Pedestrian Navigation Problem","authors":"Yu. V. Bolotin,&nbsp;A. V. Bragin","doi":"10.3103/S0027133023030020","DOIUrl":"10.3103/S0027133023030020","url":null,"abstract":"<p>A pedestrian navigation system consisting of two foot-mounted strapdown inertial navigation systems (SINS)s is considered. The zero velocity conditions of the foot in the stance phase of a step and a limited distance between the feet are used for SINS corrections. The aim of the work is to study some consistency properties of the extended Kalman filter. It is shown that this consistency depends on a form of the error equations.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 3","pages":"80 - 85"},"PeriodicalIF":0.3,"publicationDate":"2023-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4595688","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
Displacement Discontinuity Method Taking into Account the Curvature of the Crack 考虑裂纹曲率的位移不连续法
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-08-15 DOI: 10.3103/S0027133023030056
A. V. Zvyagin, D. D. Novov
{"title":"Displacement Discontinuity Method Taking into Account the Curvature of the Crack","authors":"A. V. Zvyagin,&nbsp;D. D. Novov","doi":"10.3103/S0027133023030056","DOIUrl":"10.3103/S0027133023030056","url":null,"abstract":"<p>The paper is devoted to the development of the displacement discontinuity method for plane problems of fracture mechanics in consideration of the curvature of crack lines. In this paper, some new representations of biharmonic functions are found. This is necessary to obtain the analytical solutions of problems for an elastic plane weakened by a crack in the form of a circular arc. A numerical method is proposed on the basis of these analytical solutions. The numerical values of the stress intensity factor are compared with its known analytical value.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 3","pages":"86 - 90"},"PeriodicalIF":0.3,"publicationDate":"2023-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4600469","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
Free Oscillations of a Conical Shell 锥形壳的自由振动
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-22 DOI: 10.3103/S0027133023020024
S. D. Algazin, A. A. Sinitsyn
{"title":"Free Oscillations of a Conical Shell","authors":"S. D. Algazin,&nbsp;A. A. Sinitsyn","doi":"10.3103/S0027133023020024","DOIUrl":"10.3103/S0027133023020024","url":null,"abstract":"<p>Free oscillations of a conical shell of finite length are considered. This problem was formulated in the 1960s. A modern algorithm without saturation is given in this paper, and specific calculations which show its high efficiency are discussed.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 2","pages":"29 - 35"},"PeriodicalIF":0.3,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4863232","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
Stress Concentration Tensor of a Stretched Isotropic Plane Weakened by a Grid of Isotropic Inclusions 被各向同性内含物网格削弱的拉伸各向同性平面的应力集中张量
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-22 DOI: 10.3103/S002713302302005X
I. F. Startsev
{"title":"Stress Concentration Tensor of a Stretched Isotropic Plane Weakened by a Grid of Isotropic Inclusions","authors":"I. F. Startsev","doi":"10.3103/S002713302302005X","DOIUrl":"10.3103/S002713302302005X","url":null,"abstract":"<p>This work presents the construction of a solution to the plane doubly periodic loading problem for an infinite elastic isotropic plane with elliptical inclusions. The plane is under one of three loads: it is stretched in the direction of one of the inclusion axes or it has a pure shear at infinity. The concept of stress concentration tensor is considered and an example of its construction is shown. The solution of the problem is reduced to the search for complex functions from the boundary conditions obtained from the equality of displacements and normal forces of the matrix and inclusions using conformal mappings and integration by the Muskhelishvili method. The effect of noncentral inclusions is expressed by using the small parameter method.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 2","pages":"54 - 61"},"PeriodicalIF":0.3,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4864615","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 Two Contacting Cylinders Interacting through Dry Friction Force 干摩擦力作用下两接触气缸运动的研究
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-22 DOI: 10.3103/S0027133023020036
E. E. Borisenko
{"title":"On the Motion of Two Contacting Cylinders Interacting through Dry Friction Force","authors":"E. E. Borisenko","doi":"10.3103/S0027133023020036","DOIUrl":"10.3103/S0027133023020036","url":null,"abstract":"<p>This paper concerned with the motion of two contacting cylinders with dry friction between them. Filippov’s theory of discontinuous differential equations is used to study the system of ordinary differential equations. The forward uniqueness of the solution is proven, the phase portrait is drawn, and its bifurcation is investigated. These results allow describing the motions of the given mechanical system, in particular, the conditions of seizing and permanent rotation.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 2","pages":"42 - 53"},"PeriodicalIF":0.3,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4864619","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
Necessary Existence Conditions for an Additional Integral in the Problem of Motion of a Rigid Body with a Fixed Point Bounded by the Surface of an Ellipsoid of Revolution in a Particle Flow 质点流中以旋转椭球面为界的固定点刚体运动问题中附加积分存在的必要条件
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-22 DOI: 10.3103/S0027133023020048
M. M. Gadzhiev, A. S. Kuleshov
{"title":"Necessary Existence Conditions for an Additional Integral in the Problem of Motion of a Rigid Body with a Fixed Point Bounded by the Surface of an Ellipsoid of Revolution in a Particle Flow","authors":"M. M. Gadzhiev,&nbsp;A. S. Kuleshov","doi":"10.3103/S0027133023020048","DOIUrl":"10.3103/S0027133023020048","url":null,"abstract":"<p>The problem of motion in a free molecular flow of particles of a rigid body with a fixed point bounded by the surface of an ellipsoid of revolution is considered. Necessary existence conditions for an additional analytic first integral independent of the energy integral are obtained in this problem.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 2","pages":"36 - 41"},"PeriodicalIF":0.3,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4640846","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
Calibration of an Accelerometer Unit under Restriction on Its Angular Positions in the Plane Case 平面情况下角位置限制下加速度计单元的标定
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-13 DOI: 10.3103/S0027133023010028
H. Yin, A. I. Matasov
{"title":"Calibration of an Accelerometer Unit under Restriction on Its Angular Positions in the Plane Case","authors":"H. Yin,&nbsp;A. I. Matasov","doi":"10.3103/S0027133023010028","DOIUrl":"10.3103/S0027133023010028","url":null,"abstract":"<p>The calibration problem for the accelerometer unit is considered under restrictions on its angular positions (for the plane case). The guaranteeing approach is applied to solve the problem. The solution is found in analytical form.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 1","pages":"13 - 17"},"PeriodicalIF":0.3,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4541913","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
Dilution of Precision in the Problem of Estimating the Aircraft Velocity by Means of Three-Beam Lidar Measurements 用三波束激光雷达测量估计飞机速度问题的精度稀释
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-06-13 DOI: 10.3103/S0027133023010053
V. M. Zheleznov
{"title":"Dilution of Precision in the Problem of Estimating the Aircraft Velocity by Means of Three-Beam Lidar Measurements","authors":"V. M. Zheleznov","doi":"10.3103/S0027133023010053","DOIUrl":"10.3103/S0027133023010053","url":null,"abstract":"<p>The paper presents our study on the dilution of precision in the problem of estimating the vehicle’s velocity using a three-beam Doppler lidar. Such a system has been proposed as an addition or replacement to the differential GNSS velocity solution in an airborne gravimetry system. We analytically derive optimal directions of lidar beams and use numerical simulation to obtain their attitude which minimizes the error covariance of estimated vertical velocity.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 1","pages":"18 - 22"},"PeriodicalIF":0.3,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4545514","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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