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Pmm Journal of Applied Mathematics and Mechanics最新文献

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Energy spectrum of turbulent velocity pulsations in a wide range of wave numbers (renorm-group approach) 大波数范围内湍流速度脉动的能谱(改革群法)
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/J.JAPPMATHMECH.2018.03.013
E. Teodorovich
{"title":"Energy spectrum of turbulent velocity pulsations in a wide range of wave numbers (renorm-group approach)","authors":"E. Teodorovich","doi":"10.1016/J.JAPPMATHMECH.2018.03.013","DOIUrl":"https://doi.org/10.1016/J.JAPPMATHMECH.2018.03.013","url":null,"abstract":"","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"55 1","pages":"450-454"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87413358","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
Invariant relations and particular solutions of the dynamic equations of a rigid body 刚体动力学方程的不变量关系和特解
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.12.005
G.V. Gorr
{"title":"Invariant relations and particular solutions of the dynamic equations of a rigid body","authors":"G.V. Gorr","doi":"10.1016/j.jappmathmech.2017.12.005","DOIUrl":"10.1016/j.jappmathmech.2017.12.005","url":null,"abstract":"<div><p>The existence conditions for invariant relations and particular solutions of Grioli's equations for the problem of the motion of a rigid body with a fixed point are considered. New classes of solutions of the equations of motion of a rigid body with a fixed point are obtained.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 4","pages":"Pages 286-294"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.12.005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88079560","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: 5
Mass loss and light curve of a large meteoroid. Analytical solution 大型流星体的质量损失和光曲线。分析解决方案
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2018.03.008
I.G. Brykina, G.A. Tirskiy
{"title":"Mass loss and light curve of a large meteoroid. Analytical solution","authors":"I.G. Brykina,&nbsp;G.A. Tirskiy","doi":"10.1016/j.jappmathmech.2018.03.008","DOIUrl":"10.1016/j.jappmathmech.2018.03.008","url":null,"abstract":"<div><p><span><span>The interaction of a large meteoroid with the Earth's atmosphere is considered in the case when it moves as a single body and when it moves as a cloud of fragments with a common shock wave. Using the literature data, an expression has been obtained for the radiative heat transfer coefficient per unit area of the </span>midsection<span><span> of a meteoroid modelled by an oblate spheroid<span><span> as a function of its velocity, size, the atmospheric density, and its oblateness<span> coefficient. The regions of predominant influence of the convective and radiative fluxes are estimated. An expression is obtained for the drag coefficient of a </span></span>spheroid. Assuming that the mass of the meteoroid decreases faster than its velocity, analytical solutions of equations of the physical theory of meteors have been obtained for the mass loss of a meteoroid of </span></span>spheroidal<span> shape, the profile of the light curve, and the altitude at which the maximum of this curve is reached. The fragmentation model, which considers the meteoroid as a cloud of fragments with the spaces between them filled by a vapour, expanding in the lateral directions and flattening in the flight direction with a rate that depends on the degree of expansion is proposed. Using this model and the analytical solutions obtained, the interaction of the Chelyabinsk meteoroid with the atmosphere is considered. Good agreement between the found solution for the profile of the light curve and the observed data–light curves based on different video recordings–is demonstrated down to an altitude of 27</span></span></span> <!-->km.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 5","pages":"Pages 395-408"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2018.03.008","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82229187","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: 5
Stability of the steady rotations of a satellite with internal damping in a central gravitational field 具有内阻尼的卫星在中心重力场中稳定旋转的稳定性
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.08.002
N.I. Amelkin, V.V. Kholoshchak
{"title":"Stability of the steady rotations of a satellite with internal damping in a central gravitational field","authors":"N.I. Amelkin,&nbsp;V.V. Kholoshchak","doi":"10.1016/j.jappmathmech.2017.08.002","DOIUrl":"10.1016/j.jappmathmech.2017.08.002","url":null,"abstract":"<div><p><span>The rotational motion of a satellite in a central </span>gravitational field in the presence of internal dissipation is studied. The satellite is modelled by a system consisting of two bodies, a shell and a spherical damper. The stability of the steady rotations is investigated for a dynamically symmetric satellite moving in a circular Kepler orbit.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 2","pages":"Pages 85-94"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.08.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83804487","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: 9
Equilibrium of micropolar bodies with predeformed regions. The superposition of large deformations 具有预变形区域的微极体的平衡。大变形的叠加
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.08.014
V.A. Levin
{"title":"Equilibrium of micropolar bodies with predeformed regions. The superposition of large deformations","authors":"V.A. Levin","doi":"10.1016/j.jappmathmech.2017.08.014","DOIUrl":"10.1016/j.jappmathmech.2017.08.014","url":null,"abstract":"<div><p><span><span>A formulation of problems concerning the equilibrium of non-linearly elastic micropolar bodies is presented for the case of the superposition of large deformations. The </span>kinematic relations<span> of large deformation superposition theory are given for micropolar materials, and the constitutive relations and </span></span>equilibrium equations of a micropolar medium in the intermediate state coordinates are obtained. Some results of the solution of a model problem based on large deformation superposition theory are presented.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 3","pages":"Pages 223-227"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.08.014","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82323271","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 influence of failure on the dynamics of mechanical systems 失效对机械系统动力学的影响
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2018.03.021
A.V. Vlakhova
{"title":"On the influence of failure on the dynamics of mechanical systems","authors":"A.V. Vlakhova","doi":"10.1016/j.jappmathmech.2018.03.021","DOIUrl":"https://doi.org/10.1016/j.jappmathmech.2018.03.021","url":null,"abstract":"<div><p>A model of the dynamics of a mechanical system<span> that includes bodies whose contact is accompanied by the appearance of small relative displacement and brittle failure<span> of their surfaces with the resultant appearance of an interlayer of chipped off elements between the bodies is constructed. The variation of the potential energy of the system upon displacement of the bodies through interlayer elements is investigated. Cases in which the limit model obtained when the rate of the relative displacement of the bodies reaches a zero value differs from the classical non-holonomic model of the dynamics of the system are identified. Sufficient conditions, which enable evaluation of the error and the boundaries of the applicability of the limit model, are formulated. ©2017</span></span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 6","pages":"Pages 504-520"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2018.03.021","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91672359","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
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
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
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
Partial linear integrals of the Poincaré–Zhukovskii equations (the general case) poincar_3 - zhukovskii方程的偏线性积分(一般情况)
Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.12.004
V. Yu. Ol'shanskii
{"title":"Partial linear integrals of the Poincaré–Zhukovskii equations (the general case)","authors":"V. Yu. Ol'shanskii","doi":"10.1016/j.jappmathmech.2017.12.004","DOIUrl":"10.1016/j.jappmathmech.2017.12.004","url":null,"abstract":"<div><p>The existence conditions for a linear invariant relation of the Poincaré–Zhukovskii equations in the general case when the matrix of the cross terms of the Hamiltonian<span><span> can be asymmetric are obtained. A new scalar form of the equations is indicated, and they are reduced to the </span>Riccati equation in the case of motion with a linear invariant relation. A particular solution of the Riccati equation, which defines a three-parameter family of periodic solutions of the Poincaré–Zhukovskii equations, is presented. A four-parameter family of solutions of the Poincaré–Zhukovskii equations, each of which exponentially rapidly approaches a corresponding periodic solution with time, is constructed. The conditions for precessional motion with a linear invariant relation are found.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 4","pages":"Pages 270-285"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.12.004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83873560","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: 5
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