SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 50 of 813 papers in Mechanics
The paper addresses the synthesis of uniaxial regular gear mechanisms when a prescribed system of link connections must be realized, a task complicated by the need to enumerate spatial arrangements without missing equivalent or obstructed variants. It introduces combinatorial schemes that record cyc…
This paper studies a quasilinear equation used as an approximate model for unsteady transonic potential flow, for which the usual Cauchy problem is inappropriate because planes of constant time are characteristic. A mixed boundary-value problem is formulated in a half-space with data prescribed on t…
This note studies the boundary-layer equations for a stationary axisymmetric flow of a compressible fluid in the case of Prandtl number equal to one, using the corresponding relation between enthalpy and longitudinal velocity. By introducing variables based on the ratio of the velocity to the outer-…
This paper addresses the determination of the Prandtl Karman constant in wall-bounded turbulent flow using a phenomenological stability principle for averaged velocity profiles. The authors argue that the logarithmic region governed by the Prandtl Taylor friction law is central to the formation of t…
This paper examines the additional condition required at the end of a crack, which is not determined by the equations of motion and deformation alone. Using general local and energetic considerations for continuous media with displacement discontinuities, the authors argue that crack growth laws can…
This paper studies axisymmetric vibrations and stresses in a homogeneous isotropic elastic circular disk whose rotation is reduced by partial braking through a rigid rim. Because residual angular velocity couples radial and tangential displacements through rotational inertia, the authors formulate c…
This paper addresses the motion of a rigid body with a fixed point under Kovalevskaya-type inertia and center-of-mass conditions, in the presence of a nonzero gyrostatic moment. Starting from the standard differential equations for angular velocity and the gravity direction cosines, the authors impo…
This paper proposes a variational formulation for quasi-brittle fracture that does not require the crack path to be prescribed in advance. Starting from an energy balance for a body with internal ruptures, it derives separate variational conditions for changes in crack trajectory and for motion of a…
This paper examines the transition from laminar to turbulent motion through measurements of the frequency spectra of longitudinal velocity fluctuations in air flowing through a circular tube. Using hot-wire anemometry and low-frequency spectral analysis at several radial positions, the authors compa…
The paper studies the Cauchy problem for the linearized Navier Stokes equations of an incompressible viscous fluid subject to uniform rotation. Using Fourier transformation, Bochner’s formula, and Sonine formulas for cylindrical functions, it constructs explicit fundamental kernels for the velocity …
A method is developed for spatial doubly periodic boundary value problems in elasticity for an infinite body perforated by parallel cylindrical cavities whose circular cross sections form an oblique lattice. Using Galerkin’s general solution of Lamé equations and addition theorems for modified Besse…
This paper generalizes a previously established symmetry principle for shallow geometrically nonlinear shells to a more exact nonlinear shell theory and to shallow equilibrium forms of nonshallow shells. Using compatibility and equilibrium equations in orthogonal curvilinear coordinates, the author …
The paper examines the formulation of equations for a rolling wheel with an elastic tire undergoing oscillations, focusing on the relation between tire deformation and ground reaction. Using transverse oscillations of the wheel rim as an example, it models the tire as a weightless elastic beam on an…
This paper analyzes the effect of Coriolis force on long unsteady axisymmetric waves in an ideal incompressible fluid in a uniformly rotating basin. A point source with arbitrary time-dependent discharge is introduced at the origin, and the linear long-wave equations are solved by Laplace-Carson tra…
This paper addresses the computation of the characteristic criterion for the periodic limiting regime of motion of a machine unit, a quantity needed in dynamic machine calculations but generally unavailable in closed form. Under standard continuity, periodicity, and monotonicity assumptions on the r…
The paper considers the Euler-Poisson equations for a heavy rigid body with a fixed point when the center of gravity lies on the first principal axis and the gyrostatic moment is perpendicular to the third axis. Under a specified algebraic relation among the moments of inertia and a two-parameter re…
This paper develops an averaged continuum-mechanical formulation for anisotropic turbulent flows in which Reynolds stresses need not be symmetric. Starting from asymmetric continuum mechanics, including independent conservation of angular momentum and intrinsic angular momentum, it derives macroscop…
This paper examines why powerful underground explosions can produce damaging seismic effects in buildings at ground vibration velocities well below the commonly used Soviet critical value of 10 cm/sec. It argues that, unlike smaller shallow explosions, large explosions create a much wider hazardous …
This note studies an integral equation with a singular kernel arising in mixed elasticity problems, including crack problems and rigid punch loading of strips and wedges. Under analytic assumptions on the kernel, it establishes a large-parameter representation for the solution as the interval half-l…
This paper formulates models of material continuous media in special relativity using a variational principle that allows piecewise smooth fields with finite discontinuities on hypersurfaces. For a Lagrangian depending on higher derivatives of medium parameters and the motion, it derives generalized…
The paper examines transient processes in convective systems, emphasizing the mutual adjustment of convective elements and the surrounding stratified medium. Using a laboratory model with weakly miscible water and aniline layers heated or cooled under controlled conditions, it observes the developme…
The paper develops an energy equilibrium condition for crack growth in ideal elastic-plastic bodies when plastic deformation is concentrated in a narrow zone ahead of the crack tip. The plastic zone is replaced, in a linearized formulation, by an additional cut carrying stresses that represent the a…
This paper analyzes binary collisions of solid spherical particles immersed in an ideal incompressible liquid, motivated by particle interactions in fluidized beds. Using Lagrange equations for a system of spheres coupled to the surrounding fluid, it derives jump conditions for velocities at the ins…
The paper proposes an experimental method for determining surface stresses in inelastic bodies under complex loading without relying on specific constitutive stress strain relations. The approach records the local deformation history, for example with photoelastic coatings, and reproduces it at the …
This paper develops a formulation of plane stress for thin plates undergoing finite elastic deformations, assuming negligible transverse stresses and weak variation through the thickness. Using principal stretches, rotation angles, Hencky strain invariants, and a stress function in complex coordinat…
This paper examines long centrifugal waves that propagate on the free surface of a gas vortex in an axisymmetric translational and rotational flow of an incompressible liquid. Building on a theoretical relation between the critical axial flow velocity and the wave propagation velocity, the study rep…
This paper studies three-dimensional diffraction of elastic harmonic waves by an infinite periodic row of identical circular cylindrical cavities in an elastic body. Using longitudinal and transverse wave potentials in cylindrical coordinates, the authors exploit the phase periodicity of an incident…
This paper studies a characteristic criterion for the motion of a machine unit, interpreted as the relative contribution of inertial forces of initial motion compared with those of steady motion. Using the energy equation for the driving link and assumptions on the reduced moment of the acting force…
This paper formulates a continuous theory of scale similarity for nonnegative random fields, motivated by the statistics of turbulent energy dissipation but applicable to analogous quantities such as squared vorticity or squared temperature gradients. Defining subdivision coefficients as ratios of f…
This note treats a mixed boundary value problem in elasticity for an infinite elastic layer twisted by two coaxial circular punches of different radii applied to opposite faces. Using a Hankel integral representation for the single nonzero azimuthal displacement component, the boundary conditions ar…
A numerical procedure is presented for kinematic analysis of plane mechanisms, intended to reduce the size of equation systems required for structural groups. The method determines coordinates, velocities, and accelerations by first solving for the parameters of only half of the links in an Assur gr…
This paper derives equations for the Brownian motion of aerosol particles in atmospheric flows when particle inertia cannot be neglected and the ordinary Smoluchowski approximation may fail. Starting from the Fokker-Planck equation, the authors assume local Maxwellian equilibrium of velocities after…
This paper studies the elastic-plastic stress distribution in an infinite plane containing a smooth strictly convex hole, where an unknown boundary separates a plastic region near the hole from an elastic region. Using the Kolosov-Muskhelishvili complex potential representation and a conformal mappi…
The paper studies inertial motion of a body of homogeneous deformation as a nine degree of freedom mechanical system, extending earlier work that assumed vortex-free motion and spherical symmetry. It formulates the kinetic and internal energies, derives equations of motion for small deformations, an…
This paper studies the equivalent tensile stiffness of an infinite isotropic plate containing a doubly periodic array of identical circular holes reinforced by thin elastic rings of a different material. Assuming the rings carry only tensile stress, the authors derive boundary conditions on the hole…
This paper analytically investigates the structure of weak shock waves in thermorelaxing two-component media, such as emulsions or gases containing suspended particles, where compression produces intercomponent temperature differences and heat-exchange relaxation. Using the Mandelstam-Leontovich tre…
This paper analyzes the absorption of laser radiation by vapor and condensate formed during rapid evaporation of an opaque solid surface. Using conservation laws, equilibrium equations of state, and estimates of radiation absorption by condensate particles and weakly ionized vapor, the authors deriv…
The paper analyzes a mechanical model for the relative motion of a spacecraft and a cosmonaut connected by a cable that is reeled in at constant speed. Using Routh reduction for the cyclic angular coordinate, the dynamics are reduced to a second-order nonlinear equation for the cable orientation, to…
The paper studies the integration of equilibrium equations for a thin or hollow circular cylindrical elastic shell of constant thickness within Vekua’s generalized shell theory, where transverse fiber elongation and additional equilibrated transverse pairs are retained. It formulates the governing t…
This paper examines how tensile stresses affect the propagation velocities and amplitudes of longitudinal and transverse elastic waves in rocks, a condition relevant to natural crustal stress fields and mine workings but less studied than compression. Laboratory tension tests were performed on cylin…
This paper analyzes natural vibrations and flutter of three-layer cylindrical shells in a supersonic gas flow using semimembrane shell theory and a linear piston-theory representation of aerodynamic loading. The governing equations are reduced to a dimensionless boundary-value problem for prescribed…
The paper formulates a Lagrangian statistical description of turbulent motion in an incompressible viscous fluid, motivated by problems such as turbulent diffusion and deformation of material surfaces. It rewrites the Navier Stokes dynamics in variables following initially marked fluid particles, in…
This paper derives kinetic equations for multicomponent mixtures of moderately dense gases, extending the kinetic theory beyond the rarefied gas approximation by retaining terms of second order in density associated with triple molecular collisions. Using Bogolyubov’s method, the hierarchy of distri…
The paper addresses the structure of a plane shock wave in a simple monatomic gas by solving the Boltzmann kinetic equation for elastic hard-sphere molecules with Rankine-Hugoniot boundary conditions. It reformulates the collision integral and applies successive integral iterations combined with Mon…
This note examines the applicability of the commonly used gas filtration relation between squared pressure drop and volumetric flow rate in porous media, with particular attention to the influence of clay content. Experiments were performed by passing air and dry gas from the Zira field through colu…
This paper describes the development and use of a pulsed ruby optical quantum generator as a light source for shadowgraph and Mach-Zehnder interferometric instruments in high-speed studies of unsteady gas-dynamic processes in shock tubes. The authors present optical coupling schemes for interferomet…
This paper examines the instability of a plane interface between two liquids with different electric or magnetic properties in a constant field directed parallel to gravity. Using the stress balance at the interface, Laplace’s equation for the field perturbation, and an expansion in the amplitude of…
This paper examines a simplified nonstationary hydromechanical model intended to assess whether direct solutions of viscous flow equations can reproduce features associated with turbulence. The authors formulate the boundary-layer problem for a plane viscous jet with periodically varying momentum, e…
This paper studies the convergence of Rayleigh-type piecewise-linear approximation methods for hydrodynamic stability problems. For plane-parallel flow of an ideal fluid, the Rayleigh eigenvalue problem is reformulated in Hilbert-space terms, allowing approximate operators associated with polygonal …
This paper derives a macroscopic transport equation for a passive admixture carried by filtration flow through a porous medium with statistically distributed pore radii and pore-channel orientations. Starting from an elementary balance equation for admixture motion in individual cylindrical channels…
