{"title":"On nonlinear resonances in oscillations of charged satellite","authors":"E. A. Kosjakov, A. Tikhonov","doi":"10.1109/POLYAKHOV.2015.7106740","DOIUrl":"https://doi.org/10.1109/POLYAKHOV.2015.7106740","url":null,"abstract":"We consider a satellite in a Keplerian circular orbit in the Earth's gravitational and magnetic fields. The satellite's librational motion near gravitationally stable equilibrium position is investigated. With taking into account the non-linear terms up to the third order of smallness the spectral structure of the Lorentz torque is analyzed. Possible resonant combinations due to the disturbing torque in the attitude motion of gravity oriented satellite are revealed. Relevant curves are plotted on the plane of the dimensionless inertial parameters of the satellite.","PeriodicalId":194578,"journal":{"name":"2015 International Conference on Mechanics - Seventh Polyakhov's Reading","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128061562","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":"Pafnutii Lvovich Chebyshev as a mechanician","authors":"G. Kuteeva, M. Yushkov, Ekaterina Rimushkina","doi":"10.1109/POLYAKHOV.2015.7106746","DOIUrl":"https://doi.org/10.1109/POLYAKHOV.2015.7106746","url":null,"abstract":"In this paper we present an original sketch about the works of an Academician of St. Petersburg Imperial Academy of Science (and Academies of other countries), the world-famous mathematician and mechanician P.L. Chebyshev (1821-1894). This sketch was made by a famous Russian specialist in nonholonomic mechanics, professor M.P. Yushkov. During several years (in the middle of 1990s) M.P. Yushkov was an invited speaker in Moscow State University, seminars devoted to the works of P.L. Chebyshev and the assessment and development of the ideas of P.L. Chebyshev. These seminars were organized by professor S.N. Kruzhkov. Here we present a small modern introduction and a sketch from one of this seminars.","PeriodicalId":194578,"journal":{"name":"2015 International Conference on Mechanics - Seventh Polyakhov's Reading","volume":"116 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122928508","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":"Change in the stress-strain state of the cornea after refractive surgery","authors":"D. V. Franus","doi":"10.1109/POLYAKHOV.2015.7106730","DOIUrl":"https://doi.org/10.1109/POLYAKHOV.2015.7106730","url":null,"abstract":"Changes in the stress-strain state of the cornea with multy-layer structure of the human eye after surgery for vision correction are modeled with finite element package ANSYS. The effect of deformations on the internal radius of curvature after surgery LASIK is studied. The cornea is modeled as a four-layer transversely isotropic shell of variable thickness with layers of different biomechanical properties.","PeriodicalId":194578,"journal":{"name":"2015 International Conference on Mechanics - Seventh Polyakhov's Reading","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126350767","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 approach to solution of spatial hypersonic flow past a thin wing problem","authors":"V. I. Bogatko, E. A. Potekhina, G. Kolton","doi":"10.1109/POLYAKHOV.2015.7106717","DOIUrl":"https://doi.org/10.1109/POLYAKHOV.2015.7106717","url":null,"abstract":"The spatial hypersonic problem of the flow past a thin wing is studied. The head shock wave is attached to the wing leading edge, at least, at one point. The thin shock layer method and the Euler-Amper transformation are applied to the problem under consideration. For the first-order corrections, the system of differential equations is reduced to the integro-differential system of equations in order to determine two arbitrary functions and the form of the shock front. The system particular solutions are constructed. This approach provides the flow parameters to be presented in the final or integral forms.","PeriodicalId":194578,"journal":{"name":"2015 International Conference on Mechanics - Seventh Polyakhov's Reading","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130026851","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}
S. Romashin, V. Presnetsova, L. Frolenkova, V. Shorkin
{"title":"A model of adhesive interaction of elastic bodies","authors":"S. Romashin, V. Presnetsova, L. Frolenkova, V. Shorkin","doi":"10.1109/POLYAKHOV.2015.7106767","DOIUrl":"https://doi.org/10.1109/POLYAKHOV.2015.7106767","url":null,"abstract":"A mathematical model of continuous elastic medium is proposed. It allows to model the contact interaction of solids involving the adhesion phenomenon. The work is based on the currently used Maugis-Dugdale potential, which is characterized by the surface distribution of adhesion forces. The numeric calculations demonstrating applicability of the newly developed methodology in practice are adduced.","PeriodicalId":194578,"journal":{"name":"2015 International Conference on Mechanics - Seventh Polyakhov's Reading","volume":"167 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131728188","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":"The state of stress of bi-material plate with an elliptic hole","authors":"V. Malkov, Yulia Malkova","doi":"10.1109/POLYAKHOV.2015.7106753","DOIUrl":"https://doi.org/10.1109/POLYAKHOV.2015.7106753","url":null,"abstract":"Problems of elasticity for composite materials with holes, cracks and inclusions have a great practical significance for mechanics, physics and other fields of science. The plane problem (plane strain or plane stress) for bi-material plate with elliptic hole is considered. On the boundary of the hole an external load is applied. At infinity constant stresses are given. The proximity of the hole to interface renders essential influence on the magnitude of stresses near the hole and on the interface. For engineering applications it is important to know fields of stresses and displacements. The method of Kolosov-Muskhelishvili complex potentials and the method of superposition are used for the solution of the problem. As a special case of the considered problem the solution of problem of an elliptic hole in a halfplane is represented.","PeriodicalId":194578,"journal":{"name":"2015 International Conference on Mechanics - Seventh Polyakhov's Reading","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114515408","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}
L. Bakaleinikov, E. Tropp, E. Flegontova, A. Ender, I. Énder
{"title":"Nonlinear gas relaxation for pseudo-power interaction cross section","authors":"L. Bakaleinikov, E. Tropp, E. Flegontova, A. Ender, I. Énder","doi":"10.1109/POLYAKHOV.2015.7106714","DOIUrl":"https://doi.org/10.1109/POLYAKHOV.2015.7106714","url":null,"abstract":"The problem of nonlinear isotropic homogeneous gas relaxation is solved for pseudo-power cross section in the velocity range of up to 10 thermal velocities at various initial conditions. A new analytical expression for isotropic collision integral kernel and a new algorithm of collision integral estimation are used in the calculations.","PeriodicalId":194578,"journal":{"name":"2015 International Conference on Mechanics - Seventh Polyakhov's Reading","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124831432","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":"Oscillations of weakly coupled identical systems","authors":"I. Barabanov, V. Tkhai","doi":"10.1109/POLYAKHOV.2015.7106716","DOIUrl":"https://doi.org/10.1109/POLYAKHOV.2015.7106716","url":null,"abstract":"The problem of existence of isolated periodic solutions in the model containing coupled subsystems (MCCS) is considered. Systems are coupled by weak connections and become independent as connections vanish. The basic oscillations mode is considered. Connections are assumed to be either time-independent, or time-periodic.","PeriodicalId":194578,"journal":{"name":"2015 International Conference on Mechanics - Seventh Polyakhov's Reading","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128682452","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}
Y. Gunko, O. Zaychenko, A. A. Lukin, V. Morozov, N. Gunko
{"title":"Deformation and fracture of thin ring samples of copper and aluminium by magnetic pulse method","authors":"Y. Gunko, O. Zaychenko, A. A. Lukin, V. Morozov, N. Gunko","doi":"10.1109/POLYAKHOV.2015.7106734","DOIUrl":"https://doi.org/10.1109/POLYAKHOV.2015.7106734","url":null,"abstract":"Three circuits of loading for copper and aluminium ring samples in the form of thin films by magnetic pulse method are presented. The applicability estimation of electrical circuits made of lumped elements is given. The ways of a significant shortening of the period of time harmonic loading and impulsive loading are shown. The calculation of the electric current change in the ring is made. The piezoelectric transducers for measuring the pulse strain in the rings are developed and applied. The analysis of the experimental results is made.","PeriodicalId":194578,"journal":{"name":"2015 International Conference on Mechanics - Seventh Polyakhov's Reading","volume":"80 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130711633","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":"Motion of charged nano- and microparticles near an emitting surface","authors":"Y. Gunko, N. Gunko","doi":"10.1109/POLYAKHOV.2015.7106733","DOIUrl":"https://doi.org/10.1109/POLYAKHOV.2015.7106733","url":null,"abstract":"The motion of charged nano- and microparticles near a plain emitting surface is studied. Formulae governing the motion of particles in the main stream are found in the form of third-order polynomials. In the presence of a screening layer near the surface, the capture of particles can occur. In such a case, the particle drift along the emitting surface can also occur due to a small horizontal component of the force field. In certain cases we found that the time dependence of coordinates for nano-and microparticles can have periodic but nonharmonic character.","PeriodicalId":194578,"journal":{"name":"2015 International Conference on Mechanics - Seventh Polyakhov's Reading","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126763308","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}