This work presents an experimental investigation and a finite element analysis on the mechanical behavior of aluminum/magnesium composite plates. First, the mechanical tests of the base alloys and the welding joint of the composites were conducted, and the stress-cycle curve with a survival rate was obtained. Second, the failure mode was analyzed and its fracture mechanism of such composites was analyzed

Based on the general case equations of motion of a net, equations of motion of a cylindrical net are constructed. Variants of wave propagation in the case of the elastic fibers-based net are determined. The problem of the propagation of unloading waves in a pre-stretched net is solved. The problem is solved by the method of characteristics. The problem is illustrated by calculations.

This article presents results on studying effect of multi-walled carbon nanotubes (CNTs) on the tribological properties of frost-resistant rubber based on epichlorohydrin rubber. The sliding friction coefficient has been determined using a laboratory tribometer according to the “rubber ring-smooth steel disk” contact scheme. Rubber samples have been tested under conditions of dry friction for ranges

A method is proposed for solving inverse flaw detection problems for rods performing longitudinal oscillations. Based on the modeling of the cross-sectional defect as a known function, the main parameters characterizing it, such as the location and volume of the two lowest oscillation frequencies of the free and cantilevered rods, will be approximately determined. Using numerical simulations, it is

A nonlinear model of an isotropic elastic material is proposed, which is a generalization of the Murnagan model, in which the expansion of the specific potential energy of the strains in a series in powers of the Genki logarithmic strain tensor is used. The physical meaning of the constants included in the obtained relations is determined. Along with bulk modulus K and shear modulus G, constants c1

The aim of this sutdy is to research the time dependence of deformations under complex stress conditions arising in the ground formation during the exploitation of oil and gas fields. The experiments were carried out on the IP Mech triaxial independent loading test system on the rocks of the Prirazlomnoye oil field using loading programs simulating the stress state in the near-borehole region with

The problem of controlling the vibrations of a string with given inseparable values of the deflection function and velocities at intermediate times is considered. By the method of separation of variables, the problem reduces to the problem of controlling ordinary differential equations with given initial, final, and unseparated multipoint intermediate conditions. The problem is solved using methods

Spatial nonlinear vibrations of a pipeline section supported at the ends are studied. A pipe bent under both its own weight and constant pressure of the fluid contained therein is subjected to hydraulic shock. The model of bending and rotational motions of the pipeline is used. The gravity forces and the Coriolis (inertia) forces as well as the mutual effect of internal pressure and changes in the

The article deals with the problem on setting boundary conditions for asymmetric problems in the mechanics of growing solids. Firstly, we study the conditions on the growing surface that are most important from the point of view of the theory completeness. When deriving relations on the growing surface, we use the results known from the algebra of rational invariants. Geometrically and mechanically

Influence of planets of the solar system on the precession of the orbit of Mercury is studied in the framework of classical mechanics. It is shown that the average perihelion shift of the orbit of Mercury, calculated in the framework of the planar limited problem, is 556.5 arc seconds per century and coincides with the observed one with a relative accuracy of 2.5%. The incomplete coincidence between

An exact analytical solution to the problem of the wave motion of a tubular semi-infinite rod interacting with its surrounding elastic medium according to the Coulomb’s law of dry friction under the action of an exponentially falling dynamic load on its end (modeling of explosive charge detonation) and in the case of a finite mass impact by a rigid body along this end is obtained. The pattern of wave

A solution of a problem on synthesis for the analytical approximation of the dependence of longitude on latitude on the geodesic line of the spheroid and the great circle (orthodrome) of the Earth’s sphere is considered. Found functional dependencies can significantly reduce the instrumentation kit for measuring and navigation complex as well as the computational costs in solving navigation problems

Elliptic curves are commonly used to outline various geophysical objects, natural and artificial bodies, trajectories of the planets, satellites, elementary particles. Utilizing these curves, many theoretical and applied problems in the field of mechanics, geophysics, and mathematical physics can be solved. However, the dependences for finding the length of individual sections (arcs) of the ellipse

A model of elastomers is presented, aimed at a comprehensive description of the deformation and strength properties characteristic of this type of material: a decrease in stiffness under repeated tension (the Mullins effect), elastic hysteresis and its anisotropy, induced strength anisotropy (a decrease in tensile strength during repeated stretching in the direction perpendicular to the primary stretching)

The solution of dynamic problems of the longitudinal impact of a homogeneous rod in a nonlinear formulation presents, notoriously, significant mathematical difficulties. Existing approaches have a rather limited application mainly due to the significant approximation of the solution of the problem. In addition, such approaches affect an extensive mathematical apparatus, which complicates their use

The article presents the calculation of stress fields that arise in cylindrical rods of circular cross section in the case of Pochhammer–Chree waves. Examples of calculating the fields for the four lowest wave modes in a steel rod for two cases of phase velocities are considered. The structures of the isostat of the principal stresses in the longitudinal section of the rod are constructed and considered

The problem of forced oscillations of a heavy inhomogeneous ball placed on a horizontal base is considered. It is assumed that the base moves in a horizontal direction according to harmonic law and at the point of contact between the surface of body and the base, the force and moment of viscous friction act. The equations of motion for a mechanical system are derived. Their solution is obtained by

The dynamic problem of the rotation of a rigid body (for example, a spacecraft) from an arbitrary initial to the required final angular position in the presence of control restrictions is considered and solved. The end time of the maneuver is known. To optimize the rotation control program, a quadratic quality criterion is used, the minimized functional characterizes energy costs. The construction

A numerical analytical refined model of a short term forecast of the Earth’s pole motion is proposed. The model allows to increase the accuracy of predicting the coordinates of the pole with observed irregular effects in its motion. A numerical simulation of the oscillatory motion of the Earth’s pole is carried out in comparison with the data of observations and measurements of the International Earth

The derivation of the equilibrium equations of bending and torsion of a thin-walled rod with an arbitrary contour of the cross section is given. The structural elements of the rod, represented by longeron and stringer belts, have tensile–compressive rigidity, and the panels perceive only shear. Panels connect the belts, which ensures joint deformation of all elements of the rod. The movement of the

The fast decompositions method in analytical form was used to solve the elastic problem with mixed boundary conditions for stresses in a sharp wedge-shaped cutting tool of finite dimensions in the form of a truncated sector. A load is applied to the faces of the wedge and its nose, which rapidly decreases with distance from the nose. At a larger radius, the wedge is rigidly fixed. The resulting solution

The long-term strength of rods under tension in an aggressive environment is investigated. We consider rods of various shapes of a single-cell cross-section (circle, square, and rectangles with different aspect ratios), provided that the areas of these cross-sections are equal. To determine the level of inclusions from aggressive environment into the rod at different time moments, approximate diffusion

The buckling and post-buckling behavior of initially imperfect, sinusoidally curved hinged-hinged beams undergoing very large deflections subjected to lateral concentrated loads acting at the midpoints is investigated via the geometrically nonlinear analysis of the problem. The transverse shear deformation is neglected. The amplitudes of the imperfection are considered to be relatively small. Therefore

The ice sheet is characterized by the development of fracture structures on a local and regional scale with the participation of fracture processes that occur at different scales, differing from each other by several orders of magnitude. The analysis shows that it is possible to distinguish a class of materials, which, in particular, include sea ice and other granular and structured materials (gypsum

There was a mistake in the author mane. The right fifth author is “K. Motaghed A.”

There was a mistake in the affiliations. The right affiliation is “Institute of Applied Mechanics of the Russian Academy of Sciences, Leningradskii pr. 7, Moscow, 125040 Russia.”

The dynamics of a wheel moving along a supporting surface is largely determined by friction in the area of its contact with the surface. To determine the force and the moment of the force of dry friction, a model based on the theory of contact stresses of Hertz is used. In the study of specific mechanical systems with dry friction, it is convenient to use approximations of the components of the friction

Combustion pressure boost in the cylinder of modern diesel engines increases the loads acting on the piston pin bearings and lubrication of the piston pin bearings becomes a serious problem. Using a piston pin with an eccentric center of gravity solves this problem. This article deals with the phenomenon of parametric resonant oscillations of the piston pin during the reciprocating motion of the piston

Algorithms for stabilizing the motion of an electrodynamic tether system in the orbit of an Earth satellite are analyzed. The system under consideration consists of two small spacecraft and a tether connecting them. A tether system is designed to change its orbital parameters, using the interaction of a current-conducting tether with the Earth’s magnetic field. Several mathematical models are used

A mathematical model of the dynamics of deformation of an overhead power line wire in a spatial setting is developed, the equations are solved on the basis of the finite difference method in an explicit scheme. In some cases, the accuracy of the calculations is compared with the obtained analytical solutions. A numerical study of the loading of a power line under the combined influence of wind and

The longitudinal vibrations of a rod weakened by transverse cracks are considered. Cracks are assumed to be open and modeled by translational springs. The stiffness of the springs corresponds to the size of the cracks. A method has been developed for identifying the number and position of transverse cracks, as well as the stiffness of the corresponding springs according to two spectra that correspond