Открытый доступ
Доступ предоставлен
Только для подписчиков
Том 74, № 5 (2019)
- Год: 2019
- Статей: 6
- URL: https://journals.rcsi.science/0027-1330/issue/view/10043
Article
Splitting of Initial Boundary Value Problems in Anisotropic Linear Elasticity Theory
Аннотация
The splitting of initial boundary value problems in the theories of elasticity is considered for some anisotropic media. In particular, the initial boundary value problems of the micropolar classical theory of elasticity are represented using the tensor-block matrix operators (or tensor operators). In the case of isotropic micropolar elastic media known also as isotropic or transversally isotropic classical media, we propose the tensor-block matrix operators of algebraic cofactors corresponding to the tensor-block matrix operators of the initial boundary value problems, which allows us to split these problems.
103-110
Mathematical Modeling of Processes in a Stressed Medium for the Case of a Sudden Break in Continuity
Аннотация
The nonstationary processes are considered in a prestressed medium for the case of a sudden viscoelastic break in continuity under the conditions of longitudinal shear. It is assumed that the break proceeds along a semi-infinite strip coincident with the plane of maximum shear stresses. The problem is solved analytically in terms of displacements by the Wiener-Hopf method.
111-117
Motion of a Puck on a Rotating Horizontal Plane
Аннотация
The motion of a puck on a horizontal plane rotating about a vertical axis with dry friction is considered. It is assumed that the Coulomb law of dry friction is locally valid at each point belonging to the lower surface of the puck. The resultant force and friction torque are determined according to the dynamically consistent model of contact stresses. This problem generalizes the problem of motion of a puck on a fixed plane and the motion of a disk (a puck of zero height) on a rotating plane. The invariant sets of the problem are found and their properties are studied. In the case of a sufficiently small Coulomb friction coefficient, the general solution to the equations of motion of the puck is constructed as a power series expansion with respect to this coefficient.
118-122
Brief Communication
Action of Moving Loads on the Bernoulli-Euler and Timoshenko Beams
Аннотация
The dynamic behavior of Bernoulli-Euler and Timoshenko beams subjected to a moving concentrated load is considered. Deflection expressions are found in the form of convergent series for a pretensioned beam and for a beam on an elastic foundation. We determine the parameter ranges for which the results of these two models are coincident. It is shown that, under certain conditions, a resonance is possible in such a system.
123-127
128-132
133-136