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Pmm Journal of Applied Mathematics and Mechanics最新文献

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Translational motion of a chain of bodies in a resistive medium 一串物体在阻性介质中的平移运动
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.12.002
F.L. Chernous’ko
{"title":"Translational motion of a chain of bodies in a resistive medium","authors":"F.L. Chernous’ko","doi":"10.1016/j.jappmathmech.2017.12.002","DOIUrl":"10.1016/j.jappmathmech.2017.12.002","url":null,"abstract":"<div><p>Translational motion of a chain of solid bodies in a resistive medium under the action of actuators mounted between each pair of neighbouring bodies is investigated. Cases of media with linear and quadratic resistance in the isotropic and anisotropic<span><span> cases are considered. It is shown that the internal forces produced by the actuators can effect translational motion of the chain with periodically varying velocity. An algorithm for controlling the interacting bodies in such a way as to effect such a motion is constructed, and necessary and sufficient conditions are obtained, guaranteeing its realization. The </span>average velocity of translational motion of the system is estimated.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 4","pages":"Pages 256-261"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.12.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75570133","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: 6
On the virtual mass of a rough sphere 关于一个粗糙球体的虚质量
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.12.006
O.B. Gus’kov
{"title":"On the virtual mass of a rough sphere","authors":"O.B. Gus’kov","doi":"10.1016/j.jappmathmech.2017.12.006","DOIUrl":"10.1016/j.jappmathmech.2017.12.006","url":null,"abstract":"<div><p>Within the framework of the model of granular roughness formed by a large number of small grains distributed over the surface of a sphere, the accelerated combined motion of the sphere and the spherical grains attached to its surface in a resting ideal fluid is considered. Using the self-consistent field method, an expression is obtained for the virtual mass of the rough sphere as a function of the size of the grains and their distribution over the sphere surface. For a statistically uniform distribution of the grains over the sphere surface, the dependence of the mean value of the virtual mass of the rough sphere on the grain size is determined in the first approximation in their volume fraction.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 4","pages":"Pages 325-333"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.12.006","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76896524","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: 3
Application of the theory of reversible discontinuities to the investigation of equations describing waves in tubes with elastic walls 可逆不连续理论在弹性壁管波方程研究中的应用
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/J.JAPPMATHMECH.2018.03.009
I. Bakholdin
{"title":"Application of the theory of reversible discontinuities to the investigation of equations describing waves in tubes with elastic walls","authors":"I. Bakholdin","doi":"10.1016/J.JAPPMATHMECH.2018.03.009","DOIUrl":"https://doi.org/10.1016/J.JAPPMATHMECH.2018.03.009","url":null,"abstract":"","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"20 1","pages":"409-419"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80789663","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: 3
Contact problem for a hollow cylinder 空心圆筒的接触问题
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2018.03.020
D.A. Pozharskii
{"title":"Contact problem for a hollow cylinder","authors":"D.A. Pozharskii","doi":"10.1016/j.jappmathmech.2018.03.020","DOIUrl":"https://doi.org/10.1016/j.jappmathmech.2018.03.020","url":null,"abstract":"<div><p><span>The axisymmetric<span> contact problem of the interaction of a rigid annular sleeve with an infinite hollow elastic cylinder with an arbitrary wall thickness, which is subjected to the action of a constant internal pressure, is investigated. When the solution of Lame's problem for a hollow cylinder and the integral transformation method are used, the contact problem is reduced to an integral equation with a difference kernel relative to the unknown pressure in the contact area. To solve this equation in the case of relatively wide sleeves, a modification of the singular </span></span>asymptotic method<span> based on complication of the approximating function for the symbol function of the kernel when the cylinder walls<span> are made thinner is proposed. Calculations are performed for a broad range of variation of the relative thickness of the cylinder walls with approach to values that are characteristic of the theory of cylindrical shells, in which the shell thickness usually amounts to no more than 2% of the radius of the middle surface. ©2017</span></span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 6","pages":"Pages 499-503"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2018.03.020","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91717151","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: 2
Certain aspects of identification of the inhomogeneous prestressed state in thermoelastic bodies 热弹性体非均匀预应力状态识别的若干方面
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.07.008
A.O. Vatul’yan , S.A. Nesterov
{"title":"Certain aspects of identification of the inhomogeneous prestressed state in thermoelastic bodies","authors":"A.O. Vatul’yan ,&nbsp;S.A. Nesterov","doi":"10.1016/j.jappmathmech.2017.07.008","DOIUrl":"10.1016/j.jappmathmech.2017.07.008","url":null,"abstract":"<div><p>The problem of identifying the inhomogeneous prestressed state in thermoelastic bodies is formulated. To solve this problem on the basis of a weak statement of the direct problem of thermoelasticity in Laplace transforms, operator equations have been obtained, relating the unknown and measured functions. By way of an example, an iterative procedure of identification of the initial state of a hollow cylinder is considered. Results are presented of numerical experiments on reconstruction of different types of functions.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 1","pages":"Pages 71-76"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.07.008","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75802528","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: 10
Mathematical modelling of the active flow control by periodic excitation 周期激励主动流量控制的数学建模
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.08.011
Yu.B. Lifshitz, D. Degani
{"title":"Mathematical modelling of the active flow control by periodic excitation","authors":"Yu.B. Lifshitz,&nbsp;D. Degani","doi":"10.1016/j.jappmathmech.2017.08.011","DOIUrl":"10.1016/j.jappmathmech.2017.08.011","url":null,"abstract":"<div><p>An overview of progress in theoretical studies related to the assessment of averaged velocity distortion in turbulent and laminar shear layers (mixing layer, far wake, and boundary layer) caused by the coherent perturbations applied to the flow control is presented.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 3","pages":"Pages 189-205"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.08.011","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83001673","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: 3
Holonomic systems on a rapidly oscillating platform 快速振荡平台上的完整系统
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2018.03.003
E.I. Kugushev, M.A. Levin, T.V. Popova
{"title":"Holonomic systems on a rapidly oscillating platform","authors":"E.I. Kugushev,&nbsp;M.A. Levin,&nbsp;T.V. Popova","doi":"10.1016/j.jappmathmech.2018.03.003","DOIUrl":"https://doi.org/10.1016/j.jappmathmech.2018.03.003","url":null,"abstract":"","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 5","pages":"360-367"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2018.03.003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90007706","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: 1
On reversibility in systems with a non-compact configuration space and non-negative potential energy 非紧位形空间和非负势能系统的可逆性
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.12.001
V.V. Kozlov
{"title":"On reversibility in systems with a non-compact configuration space and non-negative potential energy","authors":"V.V. Kozlov","doi":"10.1016/j.jappmathmech.2017.12.001","DOIUrl":"10.1016/j.jappmathmech.2017.12.001","url":null,"abstract":"<div><p><span>The problem of the reversibility of the trajectories of a reversible </span>mechanical system<span><span> with a non-compact configuration space<span> is discussed. To identify the conditions of reversibility in systems with a non-negative potential energy, an invariant Gibbs measure is used. Despite the non-compactness, the Gibbs measure of the entire phase space can be finite, which guarantees reversibility of almost all phase trajectories. Sufficient conditions for reversibility of trajectories of systems with a homogeneous, non-negative potential energy are indicated. As a consequence, reversibility of almost all phase trajectories of the Yang–Mills </span></span>Hamiltonian with three degrees of freedom is established.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 4","pages":"Pages 250-255"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.12.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86456332","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
Irina Georgiyevna Goryacheva (on her birthday) 伊琳娜-格奥尔基耶芙娜-戈里亚切娃（生日当天）
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.08.009
{"title":"Irina Georgiyevna Goryacheva (on her birthday)","authors":"","doi":"10.1016/j.jappmathmech.2017.08.009","DOIUrl":"https://doi.org/10.1016/j.jappmathmech.2017.08.009","url":null,"abstract":"","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 3","pages":"Pages 165-172"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.08.009","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136712342","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Creep fracture of plates with variable bending moments in the presence of an aggressive medium 具有变弯矩的板在腐蚀性介质中发生蠕变断裂
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI: 10.1016/j.jappmathmech.2016.06.006
A.M. Lokoshchenko, L.V. Fomin
{"title":"Creep fracture of plates with variable bending moments in the presence of an aggressive medium","authors":"A.M. Lokoshchenko,&nbsp;L.V. Fomin","doi":"10.1016/j.jappmathmech.2016.06.006","DOIUrl":"10.1016/j.jappmathmech.2016.06.006","url":null,"abstract":"<div><p>The dissipated fracture of a rectangular plate<span> with bending under conditions of a time-varying plane stress state taking account of the effect of an aggressive medium is investigated. A method for determining the time up to the fracture of such a plate when it is successively bent in different planes is proposed. Using Rabotnov's kinetic theory, the times up to fracture are compared in the case of scalar and vector damage parameters using a power creep model. The deviations of the sum of the partial times from unity are investigated in the case of piece-wise constant relations between the level of the bending moment and time. An analogy with the results of experiments on the creep strength of rods with a piecewise-constant tensile stress is shown.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"80 2","pages":"Pages 198-204"},"PeriodicalIF":0.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2016.06.006","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80080996","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: 3
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