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71.
The elastoplastic bending of a sandwich bar with a stiff compressible core on an elastic foundation is studied. The kinematics
of the bar, which is asymmetric across the thickness, is described adopting Bernoulli’s hypotheses for the face layers. The
displacements of the core are assumed to vary linearly across the thickness. The foundation is described by the Winkler model.
A system of equilibrium equations for displacements is derived and solved. Numerical results for a metal-polymer sandwich
bar are presented
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 4, pp. 110–120, April 2007. 相似文献
72.
Klyuchnikov O. R. Starovoitov V. I. Khairutdinov F. G. Golovin V. V. 《Russian Journal of Applied Chemistry》2004,77(5):853-854
The possibility of preparing condensed nitrofuroxanes using hydroxylamine was examined. 相似文献
73.
The axisymmetric transverse vibrations of a circular elastic sandwich plate under impulsive surface and linear loads are studied. To describe the kinematics of the asymmetric plate, the hypotheses of broken normal are adopted. The core is a lightweight material. Analytical solutions are obtained using Heaviside functions and Dirac delta-function. The solutions are analyzed numerically 相似文献
74.
For the functions $ f(z) = \sum\nolimits_{n = 0}^\infty {z^{l_n } } /a_n $ , where l n and a n are arithmetic progressions and their Padé approximants π n,m (z; f), we establish an asymptotics of the decrease of the difference f(z) ? π n,m (z; f) for the case in which z ∈ D = {z: |z| < 1}, m is fixed, and n → ∞. In particular, we obtain proximate orders of decrease of best uniform rational approximations to the functions ln(1 ? z) and arctan z in the disk D q = {z: |z| ≤ q < 1}. 相似文献
75.
The axisymmetric forced vibrations of a circular sandwich plate on an elastic foundation are studied. The plate is subjected
to axisymmetric surface and mechanical loads with frequency equal to one of the natural frequencies of the plate. The foundation
reaction is described by the Winkler model. To describe the kinematics of an asymmetric sandwich, the hypothesis of broken
normal is used. The core is assumed to be light. The analytical solution of the problem is obtained and numerical results
are analyzed 相似文献
76.
T. G. Amler N. D. Botkin K.‐H. Hoffmann A. M. Meirmanov V. N. Starovoitov 《Mathematical Methods in the Applied Sciences》2009,32(17):2177-2196
This paper is an advanced extension of the work reported in (Nonlinear Anal. 2005; 63 :1467–1473). A transport equation that describes the propagation of a substance in a moving fluid or gas is considered. The equation contains the transient, convection, and diffusion terms. The problem is formulated in a bounded domain provided with an inlet and an outlet for the fluid or gas flow. The crucial point of the problem setting is a hysteresis‐type condition posed on an active part of the boundary. This condition reflects the nondecreasing accumulation with saturation of the transported substance at each point of the active boundary part. We prove the existence and uniqueness of solutions to this problem, study the regularity properties of solutions, and perform numerical simulations that clarify the behavior of the model. Comparing with the results of (Nonlinear Anal. 2005; 63 :1467–1473), the advancement of this work consists in accounting for the motion of the fluid or gas and posing inlet and outlet boundary conditions. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
77.
Victor N. Starovoitov 《Mathematical Methods in the Applied Sciences》2021,44(1):1118-1126
The aim of this paper is to draw attention to an interesting semilinear parabolic equation that arose when describing the chaotic dynamics of a polymer molecule in a liquid. This equation is nonlocal in time and contains a term, called the interaction potential, that depends on the time‐integral of the solution over the entire interval of solving the problem. In fact, one needs to know the “future” in order to determine the coefficient in this term, that is, the causality principle is violated. The existence of a weak solution of the initial boundary value problem is proven. The interaction potential satisfies fairly general conditions and can have arbitrary growth at infinity. The uniqueness of this solution is established with restrictions on the length of the considered time interval. 相似文献
78.
V. N. Starovoitov 《Journal of Engineering Thermophysics》2009,18(2):129-137
Some applications of the so-called solidification method are presented. The first one deals with the classical problem on
the motion of rigid bodies in viscous incompressible fluids. The solidification method consists in considering the bodies
as fluids whose viscosity tends to infinity. This technique enables us to solve the problem on an arbitrary time interval
and take into account possible collisions of the bodies. The behavior of the bodies before and after the collisions and during
the time when they are touching one another is also described. As a second application, a problem on a solid-liquid phase
transition in a movable substance is considered.
Dedicated to the memory of V. N. Monakhov 相似文献
79.
A. G. Gorshkov É. I. Starovoitov A. V. Yarovaya 《International Applied Mechanics》2001,37(9):1196-1203
The free and forced harmonic vibrations of viscoelastoplastic sandwich shells are analyzed. An equation for approximate determination of the amplitudes of near-resonance vibrations is derived. As an example, the problem is solved for a sandwich circular cylindrical shell 相似文献
80.