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
This paper examines whether the Kármán constant used in turbulent viscosity formulations can provide a unified characterization for ocean waves and drift currents, despite earlier discrepancies between pipe-flow values and values inferred for wind waves. Using Ekman drift-current equations, empirica…
This paper derives a Lagrangian formulation for relativistic mechanics of an ideal continuous medium with potential flow and a general equation of state. It argues that the scalar Lagrangian density is the pressure, expresses it through the velocity potential, and verifies the formulation by recover…
This paper examines how a liter of water in contact with a hydrophobic solid surface changes shape as effective gravity is reduced to zero, extending earlier analysis of liquid behavior in spacecraft conditions. Using capillary surface theory, especially the Bashforth and Adams droplet profiles and …
This paper examines the mechanism of flame acceleration during the transition from normal combustion to detonation in gaseous mixtures in tubes. It argues that the flow ahead of the flame should be treated as a nonstationary double discontinuity rather than as a fully developed turbulent flow, and e…
The paper analyzes small axisymmetric motions of an ideal incompressible fluid initially rotating as a rigid body, using linearized equations in cylindrical coordinates and a stream-function formulation. It shows that separable solutions reduce, depending on the temporal parameter, to boundary-value…
The paper studies nonlinear boundary-value problems for a Maxwell-type elastic body with stress relaxation, where the relaxation time may depend on position, time, and the stress tensor. Three types of boundary conditions are treated, prescribed displacements, prescribed surface forces, and mixed co…
This paper develops a statistical model for the frequency of cavitation cavity formation in turbulent boundary layers and wake flows, treating inception as the crossing of a critical pressure level by turbulent pressure fluctuations. By adapting Rice’s formula for level crossings of a normally distr…
This paper develops a finite-dimensional mechanical model for the rotation of a homogeneously deformable body whose center of mass is fixed. Using nine generalized coordinates describing a linear finite deformation, it derives the kinetic energy, Lagrange equations, and possible forms of elastic, vi…
This paper develops a theory for small-amplitude oscillations in solid bodies that seeks to explain the observed weak dependence of the logarithmic damping decrement on frequency across many materials. It models non-Hookean reversible deformation as arising from thermally activated microscopic rearr…
This paper develops an approximate treatment of sound radiation from subsonic turbulent flow in the presence of aerodynamically thin elastic bodies, using the equation of sound propagation in a steady turbulent medium rather than only a generation equation. By introducing an adjoint acoustic diffrac…
This paper analyzes one-dimensional oscillations of a finite plane layer of incompressible, perfectly conducting fluid after an initial release of energy, with external pressure, magnetic pressure, and electromagnetic radiation from the free surface included. Using Lagrangian variables, the author d…
This paper develops the theory of linearly enveloping coupler curves for planar mechanisms containing three revolute pairs and one prismatic pair. It derives parametric equations for the envelopes generated by arbitrary straight lines fixed in the connecting rod or slider of slider-crank type mechan…
This paper examines the stability of a thick rectangular simply supported plate subjected to a uniformly distributed compressive load on two opposite sides. Starting from three-dimensional elasticity and small elastic-plastic deformation relations, without using Kirchhoff-Love hypotheses, it derives…
The paper develops a ray-theoretic generalization of classical Rayleigh waves for a homogeneous elastic body bounded by an arbitrary analytic surface. Longitudinal and transverse ray solutions of the elasticity equations are combined with complex phase functions chosen to satisfy eikonal equations, …
This paper analyzes four-link mechanisms containing two revolute and two prismatic pairs in alternating arrangement, focusing on the envelopes generated by straight lines rigidly connected to the coupler link. Using instantaneous centers and parametric differentiation, it derives equations for the l…
This paper develops exact treatments of one-dimensional adiabatic flows of an ultrarelativistic gas from the equations of relativistic hydrodynamics. After deriving the governing equations and characteristic relations for plane, cylindrical, and spherical symmetry, it focuses on the plane case and s…
This paper analyzes the motion of an astatic gyroscope in a gimbal suspension when resistance to proper rotation is balanced by a driving moment, so that deviations of rotor speed influence the nutational motion. Using d’Alembert’s principle, the equations of motion are derived for the outer ring, i…
This note examines steady magnetohydrodynamic flow of a conducting viscous incompressible liquid through a rectangular pipe in a uniform transverse magnetic field, for the boundary configuration in which the walls parallel to the field are ideally conducting and the perpendicular walls are nonconduc…
This paper investigates the initial stages of secondary plastic deformation in metals whose deformation anisotropy is produced by prior plastic loading and subsequent partial or complete unloading. Using combined tension and torsion tests on thin-walled tubular specimens of technically pure nickel, …
This paper studies one-dimensional gas motion behind a piston moving at constant velocity in a medium with a weak power-law density inhomogeneity. Using dimensional variables, the solution is written as a perturbation of Sedov’s self-similar homogeneous-medium solution, leading after linearization t…
This paper develops approximate equations for the coupled oscillations of water and a vessel in the chambers of transport ship lifts and locks. Using linearized long wave theory, it formulates water motion together with equations for the vessel’s vertical and longitudinal pitching oscillations, incl…
This paper develops a gas dynamic treatment of the nonrelaxation interaction between weak pressure waves and a flame front, accounting for changes in flame propagation velocity caused by variations of the thermodynamic parameters of the combustible mixture. By linearizing the conservation laws at th…
This paper analyzes thermal buckling of multi-spar wing skin panels subjected to nonstationary aerodynamic heating, where the skin heats more rapidly than the spar webs and develops temperature stresses. The author formulates coupled heat-conduction and stability equations, represents temperatures a…
This paper examines transient gas flow in long main pipelines after an instantaneous closure at the terminal valve, focusing on the subsequent pressure recovery and its practical use in pipeline characterization. By neglecting small inertial effects and linearizing the governing unsteady flow equati…
This paper examines Lamb’s problem for an internal source in a homogeneous isotropic elastic half-space, motivated by wave motion in soils produced by underground explosions. It represents the surface displacement field as a convolution of an arbitrary source velocity history with the response to a …
This paper develops an approximate theory of laminar flame propagation in systems governed by unbranched chain reactions, removing the earlier assumption that the initial reactant concentration can be treated solely as a linear function of temperature. Starting from coupled heat conduction and diffu…
A mathematical model is proposed for cavitating liquid flow in which cavitation nuclei are uniformly distributed in an incompressible liquid and bubbles appear when pressure falls below a critical value. Unlike earlier homogeneous compressible-medium approaches, the model incorporates the radial dyn…
This paper investigates how vertical vibration reduces resistance to transportation in bulk materials and related conveying systems. The authors describe an experimental vibrating-table apparatus with adjustable amplitude and frequency, measuring resistance for crushed stone transported over a vibra…
This paper analyzes the collision and decay of rotational discontinuities in magnetohydrodynamics, extending earlier classifications of shock, rarefaction, contact, and rotational wave interactions. Using jump relations and geometric diagrams in the space of velocity discontinuities, it represents p…
The paper derives an exact self-similar solution for plane one-dimensional relativistic hydrodynamic motion of an ideal medium when a discontinuity includes a jump in the transformation of rest mass. Using algebraic integrals for mass, energy, and momentum fluxes, the author constructs solutions on …
This paper develops a unified analytic-function formulation for the first and second basic axisymmetric problems of elasticity for both solid bodies and spaces containing cavities. Starting from integral relations between plane elastic states and axisymmetric states, it derives contour integral expr…
This paper revisits the Zel’dovich and Frank-Kamenetskii theory of one-dimensional normal gas combustion, focusing on approximations used in solving the heat-conduction equation for a flame at finite activation energy. It refines the reaction-rate expression by using absolute concentration to accoun…
This paper studies the self-similar outflow of an ideal gas into a vacuum when energy is released per unit mass according to a power law in time. The gas-dynamic equations in Lagrangian coordinates are reduced to a system of ordinary differential equations with boundary conditions at two nonisolated…
This paper develops a one-point statistical formulation for incompressible turbulent flow intended to avoid the difficulties of two-point moment descriptions, especially for inhomogeneous turbulence. Building on earlier equations for mean velocity, second and third velocity-fluctuation moments, and …
This paper analyzes the breakdown of normal combustion in powdered and porous explosives, relating the instability to the penetration of hot combustion gases into pores and surface irregularities. It formulates a critical condition in which the characteristic pore or roughness size becomes comparabl…
This paper examines the infinite system of linear algebraic equations previously obtained for the transverse bending of a circular prismatic bar with an eccentric elliptical hole. Using the conformal mapping formulation and contour integral representations of the associated analytic functions, it de…
The paper studies the singular perturbation problem arising in the nonlinear equations for large axisymmetric deflections of a circular plate under symmetric loading, with several standard edge-fixing boundary conditions. It constructs asymptotic expansions as the plate-thinness parameter tends to z…
This paper examines the analogue of Thomson’s circulation theorem in magnetohydrodynamics, where ordinary velocity circulation is not generally conserved. For a weakly perturbed incompressible fluid with infinite electrical conductivity, the author linearizes the equations of motion and induction us…
The paper studies vibrations and buckling stability of an orthotropic square plate whose thickness, and hence stiffness, varies stepwise, under longitudinal compressive forces applied along prescribed lines. A combined finite difference and Bubnov-Galerkin procedure is used to derive algebraic equat…
This note examines the limiting conditions for the existence of shock-free optimal contours in the supersonic part of an axisymmetric jet nozzle. Starting from the variational formulation and the equations on the extremal characteristic, it analyzes how the initial point on a prescribed characterist…
The paper formulates a stability criterion for rods and plates subjected to creep, emphasizing disturbed motion after a small residual deflection rather than bifurcation from a straight state. For a hinged compressed rod obeying a power law creep relation, the analysis linearizes the constitutive eq…
This paper addresses the absence of a satisfactory dynamic theory of glacier motion capable of relating observed velocities to ice rheology, gravitational forces, glacier geometry, and basal friction. It proposes a first approximation that treats normal and shear stresses as independent, allowing lo…
This paper develops an approximate theory for the stationary propagation velocity of an exothermic reaction front in a condensed phase, where material diffusion is neglected and cannot be equated with thermal diffusivity as in gas flame theory. Using one-dimensional heat and mass conservation in a f…
The paper examines the construction of stress-strain relations for small deformations of isotropic elastic bodies that obey Hooke’s law in selected simple experiments, including hydrostatic compression, uniaxial tension and compression, and pure shear. Using a deformation potential expressed through…
This paper examines the stability of purely forced oscillations in a class of nonautonomous autorotational systems, motivated by the motion of unbalanced rotors operating between critical speeds. Starting from nonlinear equations including external damping, internal friction, shaft curvature nonline…
This paper analyzes a particular solution of the Euler, Poisson equations for a heavy rigid body with cavities filled by an ideal incompressible fluid, under specified restrictions on the inertia parameters and the position of the center of gravity. Although the known solution resembles Grioli’s for…
This paper addresses the deformation law of highly elastic polymeric bodies, arguing that high elasticity should be treated as an independent reversible deformation rather than as a combination of elasticity and internal friction. Using molecular considerations of flexible chain segments, it propose…
This paper develops a general vibration theory for shallow elastic-viscous shells and plates made of an isotropic homogeneous Maxwell-type material, using the Love-Kirchhoff hypotheses and small middle-surface displacements. Starting from shell equilibrium equations, constitutive relations with time…
This paper develops a method for linearizing equations of the plane problem for an ideally plastic body under the Saint-Venant, Mises, and generalized Mises-Schleicher plasticity conditions. Using the Saint-Venant stress function, the equilibrium equations are satisfied identically, reducing the pro…
This paper examines scaling properties and asymptotic behavior in the problem of a point explosion in an ideal two-parameter compressible medium. Using dimensional analysis of the governing equations, shock conditions, and the general form of the internal energy, it determines when a solution comput…
