Topic
Axial symmetry
About: Axial symmetry is a research topic. Over the lifetime, 6496 publications have been published within this topic receiving 100626 citations. The topic is also known as: line symmetry & axisymmetry.
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10 Aug 2022
TL;DR: In this article , a simple analytical model explains the repulsion effect in terms of specific spatial positions of induced charges, and numerical calculations prove this effect for various axially symmetric systems of a neutral conductor in an electric field of a point charge.
Abstract: A counterintuitive effect of a repulsion between uncharged and charged conductors is considered. Our numerical calculations prove this effect for various axially symmetric systems of a neutral conductor in an electric field of a point charge. The presence of a cavity in the conductor is very important for the repulsion effect. Our simple analytical model explains this effect in terms of specific spatial positions of induced charges.
TL;DR: In this paper, the magnetic field of a low energy β-ray spectrometer with azimuth-dependent cos ϕ terms and aximuth independent parts can be produced by coil pair systems whose centers are a small distance apart and axial symmetric coils.
TL;DR: In this article, a nonstationary solution of the nonlinear Landau-Liftshitz equation in three spatial dimensions for easy-axis ferromagnets and antiferromagneticets in an external magnetic field was obtained.
Abstract: We obtain a new nonstationary solution of the nonlinear Landau-Liftshitz equation in three spatial dimensions for easy-axis ferromagnets and antiferromagnets in an external magnetic field. The solution has discrete axial symmetry and depending on the values of the free parameters, it can have the form of a multidomain periodic exchange structure or a domain boundary separating two semi-infinite regions of space. The singular behavior of the solution near the symmetry axis is pointed out.
18 Sep 1967
TL;DR: In this paper, the axisymmetrical elastic deformation of a circular cylindrical shell under longitudinal impact is investigated by using a system of nonlinear equations with the propagation of elastic stress waves taken into account, and without any assumptions concerning the mode of buckling.
Abstract: : The axisymmetrical elastic deformation of a circular cylindrical shell under longitudinal impact is investigated by using a system of nonlinear equations with the propagation of elastic stress waves taken into account, and without any assumptions concerning the mode of buckling. One end of the shell is fixed, the other end is axially impacted by a rigid solid moving at a velocity V; the ratio m of the mass of the body to the mass of the shell is given. The analysis of the impact-deformation process in this shell is reduced to solving this nonlinear system with initial and boundary conditions by the method of finite differences, utilizing an explicit scheme whose convergence and stability was checked. The behavior of the shell was studied in the time interval in which the longitudinal compression wave propagates along the whole length of the shell, and the first reflected wave comes back. The results from calculating the normal displacements along the shell at various instants of both waves propagating, for the ratio m = 3.64 and nondimensional velocities V/a = 0. 0005; 0.001; 0.002; and 0.004 (where a is the velocity of sound) are shown in diagrams and are examined.