Zobrazeno 1 - 10
of 416
pro vyhledávání: '"L.D Akulenko"'
Autor:
L.D. Akulenko
Publikováno v:
Journal of Applied Mathematics and Mechanics. 78:48-55
The time-optimal control of motion of a multidimensional dynamic object is investigated. Both open-loop and feedback controls are considered. It is assumed that the force vector is constrained by a non-degenerate ellipsoid. The terminal set is descri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26455f76ade91edccd194dfd21a2c862
https://doi.org/10.1016/j.jappmathmech.2014.05.006
https://doi.org/10.1016/j.jappmathmech.2014.05.006
Autor:
L.D. Akulenko, A. N. Sirotin
Publikováno v:
Journal of Applied Mathematics and Mechanics. 77:305-313
The problem of the optimal reorientation of an axisymmetric rigid body with a non-zero angular velocity is considered. An integral-quadratic functional, matched with the inertial symmetry of the body and characterizing the total energy consumption, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e0df48152405a7ef2fd399b775ae29f
https://doi.org/10.1016/j.jappmathmech.2013.09.006
https://doi.org/10.1016/j.jappmathmech.2013.09.006
Autor:
Sergei V Nesterov, L.D. Akulenko
Publikováno v:
Journal of Applied Mathematics and Mechanics. 76:337-341
The local length-dependence of the natural frequencies and forms of plane transverse oscillations of a thin inhomogeneous rod in an elastic medium with a variable stiffness and arbitrary elastic-fastening boundary conditions is investigated. It is es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e06ca0daa2d933e9d9a35f6da40c041
https://doi.org/10.1016/j.jappmathmech.2012.07.010
https://doi.org/10.1016/j.jappmathmech.2012.07.010
Autor:
L.D. Akulenko
Publikováno v:
Journal of Applied Mathematics and Mechanics. 75:323-333
The spatial problem of the time-optimal transfer of a point mass by a limited force onto a terminal set in the form of a circle without fixing the final velocity is investigated. The optimal modes of motion are constructed and investigated for arbitr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e68564a85691458edd8232d4f2fc135
https://doi.org/10.1016/j.jappmathmech.2011.07.010
https://doi.org/10.1016/j.jappmathmech.2011.07.010
Autor:
L.D. Akulenko
Publikováno v:
Journal of Applied Mathematics and Mechanics. 75:534-538
The two-point problem of the time-optimal attainment of a desired phase state by a multidimensional dynamic object is investigated. The motion occurs in a viscous medium by means of a limited force. The open-loop and/or feedback control laws construc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e2f902163242ebd151fdfd9404fade4
https://doi.org/10.1016/j.jappmathmech.2011.11.007
https://doi.org/10.1016/j.jappmathmech.2011.11.007
Autor:
L.D. Akulenko
Publikováno v:
Journal of Applied Mathematics and Mechanics. 73:371-378
The motion of a vertical disc along a curve under the influence of gravity is investigated. On the assumption of regular rolling without slip and separation of contact points, the problem of plotting the curve of most rapid motion of the disc centre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d73762adbc704c406db06861bee16eef
https://doi.org/10.1016/j.jappmathmech.2009.08.015
https://doi.org/10.1016/j.jappmathmech.2009.08.015
Autor:
L.D. Akulenko, A. S. Kovaleva
Publikováno v:
Journal of Applied Mathematics and Mechanics. 73:115-123
The problem of estimating the mean time a weakly perturbed dynamical system stays in a fixed region of the phase variables is investigated. The motion is described by Lagrange's equations with an attractive force potential and in the presence of addi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f83d8d96f006c05cdcd40c437398fce2
https://doi.org/10.1016/j.jappmathmech.2009.04.001
https://doi.org/10.1016/j.jappmathmech.2009.04.001
Autor:
L.D. Akulenko, Sergei V Nesterov
Publikováno v:
Journal of Applied Mathematics and Mechanics. 73:642-647
The frequencies and modes of parametric oscillations of a pendulum of variable length for values of the modulation index from the smallest to the limit admissible values are investigated. The limits of the resonance zones of the first four oscillatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e9332f24d9cc920e7e22a6fad69a24f
https://doi.org/10.1016/j.jappmathmech.2010.01.004
https://doi.org/10.1016/j.jappmathmech.2010.01.004
Autor:
L.D. Akulenko, S. A. Kumakshev
Publikováno v:
Journal of Applied Mathematics and Mechanics. 72:296-302
The pattern of steady multimode flow of a viscous incompressible fluid in a plane diverging channel is constructed and investigated. It is shown that odd-mode flows have velocity profiles that are symmetrical about the axis of the channel and from on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d4f8ea97803100d4ac06e51b0dcc99a
https://doi.org/10.1016/j.jappmathmech.2008.07.007
https://doi.org/10.1016/j.jappmathmech.2008.07.007
Autor:
L.D. Akulenko
Publikováno v:
Journal of Applied Mathematics and Mechanics. 72:136-143
The problem of transferring a dynamical object (a point mass) of arbitrary dimensional to a required position in a time-optimal manner by means of a force of limited modulus is solved. The velocity of the object at the final instant is not specified.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dfb79e9f8f054a69d9a3ef13cdb51d1d
https://doi.org/10.1016/j.jappmathmech.2008.04.012
https://doi.org/10.1016/j.jappmathmech.2008.04.012