Numerical simulation of the dynamics of an intense relativistic beam of charged particlesJournal of Applied Mechanics and Technical Physics - Tập 14 - Trang 786-790 - 1973
V. B. Bavin, V. M. Vetsko, V. A. Leitan, A. S. Roshal', A. V. Shal'nov
A method for the numerical simulation of stochastic processes in intense relativistic beams of particles moving in electric and magnetic fields is described. A two-dimensional approximation using “coarse particles” is considered. The action functions are first tabulated with respect to three variables. The method combines high speed and good accuracy. The results of a simulation are presented.
Asymptotic models for the discrete optimal control of the deformation of an elastic membraneJournal of Applied Mechanics and Technical Physics - Tập 47 - Trang 724-735 - 2006
I. I. Argatov
This paper considers the singularly perturbed static problem of the optimal control of the deformation of an elastic membrane by means of external loads (control without constraints) applied to several small areas distant from each other. The objective functional is equal to the sum of the square of the root-mean-square approximation error and the square of the norm of the external load. Asymptoti...... hiện toàn bộ
Quasitransverse shock waves in elastic media with an internal structureJournal of Applied Mechanics and Technical Physics - Tập 40 - Trang 341-346 - 1999
N. I. Gvozdovskaya, A. G. Kulikovskii
We consider the structure of small-amplitude quasitransverse shock waves in a weakly anisotropic elastic medium which possesses an internal structure generating the wave dispersion. The dispersion is modeled by introducing terms with higher derivatives into the equations of the theory of elasticity, and the dissipation is represented by viscous terms. In one of the two possible cases treated below...... hiện toàn bộ
Extreme conditions of elastic constants and principal axes of anisotropyJournal of Applied Mechanics and Technical Physics - Tập 57 - Trang 740-756 - 2016
N. I. Ostrosablin
This paper describes the derivation of extreme conditions of each elasticity coefficient (Young’s modulus, shear modulus, et al.,) for the general case of linear-elastic anisotropic materials. The stationarity conditions are obtained, and they determine the orthogonal coordinate systems being the principal axes of anisotropy, where the number of independent elasticity constants decreases from 21 t...... hiện toàn bộ
DYNAMIC PROPERTIES OF LOW-CARBON STEEL AFTER LONG-TERM STORAGEJournal of Applied Mechanics and Technical Physics - Tập 62 - Trang 105-109 - 2021
A. M. Bragov, A. V. Kuznetsov, G. G. Savenkov, T. I. Sycheva, E. V. Shchukina
Dynamic properties of low-carbon steel are investigated using the Kolsky method (the split Hopkinson pressure bar method). Changes in the properties of the steel after 50 years of storage are determined, and the destroyed samples are subjected to metallographic studies. The fractal dimension of the fracture contours is determined. It is shown that, the long-term storage of steel introduces no sign...... hiện toàn bộ
Motion of a magnetizable liquid in a rotating magnetic fieldJournal of Applied Mechanics and Technical Physics - Tập 11 - Trang 557-560 - 1970
V. M. Suyazov
Moskowitz and Rosensweig [1] describe the drag of a magnetic liquid — a colloidal suspension of ferromagnetic single-domain particles in a liquid carrier — by a rotating magnetic field. Various hydrodynamic models have been proposed [2, 3] to describe the macroscopic behavior of magnetic suspensions. In the model constructed in [2] it was assumed that the intensity of magnetization is always direc...... hiện toàn bộ
HYDRODYNAMIC LOADS DURING ACCELERATION OF A CYLINDER UNDER A FREE SURFACEJournal of Applied Mechanics and Technical Physics - Tập 63 - Trang 806-815 - 2023
A. E. Golikov, N. I. Makarenko
The accelerated motion of a circular cylinder from the state of rest under the free surface of an infinitely deep ideal fluid was studied. The original mathematical formulation of the problem was reduced to an integrodifferential system of equations for the function specifying the free surface shape and for the normal and tangential velocity components on the free surface. An analytic continuation...... hiện toàn bộ