共查询到20条相似文献,搜索用时 15 毫秒
1.
A numerical–analytic method for the identification of the axisymmetric mechanical shock load on a disk-shaped metal–piezoceramic
bimorph transducer is proposed. A problem is formulated based on the theory of thin two-layer plates. The solution is found
using the Laplace transform. By recovering the original function analytically, the problem is reduced to a system of Volterra
equations, solved numerically using Tikhonov’s regularization algorithm. The finite-element solution of the direct problem
is used as input data (potential difference between the electrodes of the piezoceramic layer). The results are analyzed 相似文献
2.
Yu. A. Bogan 《Journal of Applied Mechanics and Technical Physics》1999,40(3):507-512
A formal asymptote of a solution of the title problem is constructed using the averaging method of N. S. Bakhvalov. The averaged
equation is of an elliptic type; for small stiffness of the hinge, it is singularly perturbed, and for zero stiffness of the
hinge, it is of a composite type. For the first boundary-value problem, a solution of the original problem is proved to converge
to that of the limiting problem. A situation where natural boundary conditions are specified for the composite equation is
treated. It is shown that the solution space of the homogeneous problem is infinite-dimensional.
Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 3, pp. 168–174, May–June, 1999. 相似文献
3.
A. G. Petrova 《Journal of Applied Mechanics and Technical Physics》2007,48(5):671-679
It is proved that the problem of one-dimensional motion of an emulsion under the action of thermocapillary forces has a self-similar
solution in a semi-infinite interval. The behavior of the solution is illustrated by numerical examples for aluminum-lead
emulsions, in which the carrier phase is lead or aluminum. The solution is compared with the solution of the self-similar
problem linearized in the low impurity concentration.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 5, pp. 61–70, September–October, 2007. 相似文献
4.
We consider a weakly nonlinear boundary-value problem for a system of second-order ordinary differential equations. We find
a sufficient condition for the existence of at least one solution of this problem and propose a convergent iterative algorithm
for the determination of its solution.
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Translated from Neliniini Kolyvannya, Vol. 9, No. 3, pp. 368–375, July–September, 2006. 相似文献
5.
N. V. Smelova 《Fluid Dynamics》1997,32(1):79-85
A solution of the problem of supersonic flow past a wavy wall with an adjacent subsonic layer is obtained. The solution is
a generalization of the well-known solutions [1] of the linear problem of purely subsonic and purely supersonic flow past
a wavy wall and goes over into these solutions in the limiting cases of infinite and zero wall-layer thickness, respectively.
Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 97–103, January–February,
1997. 相似文献
6.
A. A. Pan’kov 《Journal of Applied Mechanics and Technical Physics》1999,40(3):523-526
The problem of predicting the effective elastic properties of composites with prescribed random location and radius variation
in spherical inclusions is solved using the generalized self-consistent method. The problem is reduced to the solution of
the averaged boundary-value problem of the theory of elasticity for a single inclusion with an inhomogeneous transition layer
in a medium with desired effective elastic properties. A numerical analysis of the effective properties of a composite with
rigid spherical inclusions and a composite with spherical pores is carried out. The results are compared with the known solution
for the periodic structure and with the solutions obtained by the standard self-consistent methods.
Perm’ State Technical University, Perm’ 614600. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No.
3, pp. 186–190, May–June, 1999. 相似文献
7.
V. V. Kalashnikov M. I. Karyakin 《Journal of Applied Mechanics and Technical Physics》2006,47(6):879-885
The torsion problem of a circular nonlinear elastic rod loaded by end moments is considered. The solution constructed by the
method of successive approximations taking into account second-order effects is compared with the solution obtained by a semi-inverse
method. It is shown that the dead-loading assumption breaks the symmetry of the Cauchy stress tensor in a certain region.
A refined formulation of Saint Venant’s principle is proposed for the problem of determining integral strain characteristics.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 6, pp. 129–136, November–December, 2006. 相似文献
8.
V. A. Kovtunenko A. N. Leont'ev A. M. Khludnev 《Journal of Applied Mechanics and Technical Physics》1998,39(2):302-311
The nonpenetration condition for a plate with an oblique cut is proposed. The variational formulation of the equilibrium problem
and the equivalent formulation in the form of a boundaryvalue problem are obtained. The analytical solution is given for a
one-dimensional case (a beam with a cut), and the qualitative properties of this solution are studied.
Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 39, No. 2, pp. 164–174, March–April, 1998. 相似文献
9.
D. A. Krymskikh 《Journal of Applied Mechanics and Technical Physics》1999,40(5):777-783
A hydrodynamic model of the physics of semiconductors is studied numerically. It is shown that the solution of the problem
of an (n+-n-n+) ballistic diode has a shock wave. This problem is solved using an iterative method. An economical conservative semi-implicit
difference scheme is developed for search of a numerical solution.
Siberian State Geodetic Academy, Novosibirsk 630108. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40,
No. 5, pp. 3–10, September–October, 1999. 相似文献
10.
A transversely isotropic material in the sense of Green is considered. A complete solution in terms of retarded potential
functions for the wave equations in transversely isotropic media is presented. In this paper we reduce the number of potential
functions to only one, and we discuss the required conditions. As a special case, the torsionless and rotationally symmetric
configuration with respect to the axis of symmetry of the material is discussed. The limiting case of elastostatics is cited,
where the solution is reduced to the Lekhnitskii–Hu–Nowacki solution. The solution is simplified for the special case of isotropy.
In this way, a new series of potential functions (to the best knowledge of the author) for the elastodynamics problem of isotropic
materials is presented This solution is reduced to a special case of the Cauchy–Kovalevski–Somigliana solution, if the displacements
satisfy specific conditions. Finally, Boggio's Theorem is generalized for transversely isotropic media which may be of interest
to the reader beyond the present application.
Dedicated to Morton E. Gurtin 相似文献
11.
The axisymmetric problem of the evolution of the free surface of a fluid during the filling of a toroidal vessel under conditions
of weightlessness is considered. Despite its interest [1, 2], this topical problem of the hydrodynamics of weightlessness
remains unsolved for lack of an effective method of solution. This paper employs the iteration-difference approach proposed
in [3–5] for calculating simply and doubly connected axisymmetric equilibrium figures.
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 154–156, November–December, 1986. 相似文献
12.
The initial boundary value problem for the compressible Navier–Stokes equation is considered in an infinite layer of . It is proved that if the Reynolds and Mach numbers are sufficiently small, then strong solutions to the compressible Navier–Stokes equation around parallel flows exist globally in time for sufficiently small initial perturbations. The large time behavior of the solution is described by a solution of a one-dimensional viscous Burgers equation. The proof is given by a combination of spectral analysis of the linearized operator and a variant of the Matsumura–Nishida energy method. 相似文献
13.
It is shown that the problem of determining the type and parameters of conduit end fastening from the eigenfrequency spectrum
has a dual solution. A method of solving this problem is developed. Some examples are given.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 1, pp. 139–147, January–February, 2008. 相似文献
14.
We establish new conditions under which the initial-value problem for a system of linear second-order differential equations
with argument deviations has a unique solution, which depends monotonically on additive perturbations of the problem.
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Translated from Neliniini Kolyvannya, Vol. 9, No. 4, pp. 535–547, October–December, 2006. 相似文献
15.
I. A. Banshchikova A. F. Nikitenko 《Journal of Applied Mechanics and Technical Physics》2006,47(5):747-756
The Rabotnov kinetic creep theory was used to calculate the stress-strain state and damage accumulation in the material of
axisymmetrically loaded circular and ring plates at any time before the beginning of fracture. It is shown that the solution
of the problem can be reduced to solving the same problem under the assumption of steady-state creep of the material. The
unsteady creep problem is solved by multiplying the known solution of the steady-state creep problem by certain functions
of the coordinates and time, which are determined from a corresponding system of equations.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 5, pp. 157–168, September–October, 2006. 相似文献
16.
A. A. Kalyakin 《Journal of Applied Mechanics and Technical Physics》2006,47(3):446-454
Plane and axisymmetric contact problems for a three-layer elastic half-space are considered. The plane problem is reduced
to a singular integral equation of the first kind whose approximate solution is obtained by a modified Multhopp-Kalandiya
method of collocation. The axisymmetric problem is reduced to an integral Fredholm equation of the second kind whose approximate
solution is obtained by a specially developed method of collocation over the nodes of the Legendre polynomial. An axisymmetric
contact problem for an transversely isotropic layer completely adherent to an elastic isotropic half-space is also considered.
Examples of calculating the characteristic integral quantities are given.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 3, pp. 165–175, May–June, 2006. 相似文献
17.
G. V. Druzhinin N. M. Bodunov 《Journal of Applied Mechanics and Technical Physics》1999,40(4):712-718
A numerical-analytical method based on approximation by harmonic or biharmonic functions is proposed for solving a mixed two-dimensional
problem of elasticity theory. This method allows one to decrease the geometric dimensionality of the boundary-value problem
by reducing it to minimization of the boundary residual. The resultant approximate analytical solution satisfies all equations
of elasticity theory.
Kazan’ State Technical University, Kazan’ 420111. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40,
No. 4, pp. 179–185, July–August, 1999. 相似文献
18.
V. P. Ryabchenko 《Journal of Applied Mechanics and Technical Physics》2008,49(2):267-276
This paper considers a two-dimensional linear unsteady problem of rigid-stamp indentation on an elastic layer of finite thickness
lying on the surface of a compressible fluid of infinite depth. The Lamé equations holds for the elastic layer, and the wave
equation for the fluid velocity potential. Using the Laplace and Fourier transforms, the problem is reduced to determining
the contact stresses under the stamp from the solution of an integral equation of the first kind, whose kernel has a logarithmic
singularity. An asymptotic solution of the problem is constructed for large times of interaction.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 2, pp. 131–142, March–April, 2008. 相似文献
19.
V. A. Kovtunenko 《Journal of Applied Mechanics and Technical Physics》1999,40(5):908-916
The Kirchhoff model of an elastic beam with a transverse cut is considered. The nonpenetration condition proposed by A. M.
Khludnev is formulated at the edges of the cut. The equilibrium model of a beam with a restriction on the cut is written in
the form of a variational inequality. An analytical solution is obtained with the use of the projection operator. The problem
of choosing optimal cuts is formulated for the criterion of minimum opening. Conditions for determining the extremum shapes
of the beam are obtained and an example of the solution of the problem is given.
Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 5, pp. 149–157, September–October, 1999. 相似文献
20.
A. A. Papin 《Journal of Applied Mechanics and Technical Physics》2008,49(4):527-536
A model problem of the motion of water and air in thawing snow is examined using the Masket-Leverett equations of two-phase
filtration. The theorem of existence of a self-similar solution is proved.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 4, pp. 13–23, July–August, 2008. 相似文献