共查询到20条相似文献,搜索用时 46 毫秒
1.
N. Yahnioglu 《International Applied Mechanics》2007,43(10):1179-1183
The three-dimensional linearized theory of elastic waves in initially stressed bodies under plane strain is used to study
the influence of the initial stretching of a simply supported plate strip with two neighboring circular holes on the stress
concentration around the holes caused by additional uniformly distributed dynamic (time-harmonic) normal forces acting on
the upper face. The corresponding problem is formulated and solved by the finite-element method. Numerical results on the
stress concentration around the holes and the influence of the initial stretching on this concentration are presented
Published in Prikladnaya Mekhanika, Vol. 43, No. 10, pp. 135–140, October 2007. 相似文献
2.
V. M. Mirsalimov 《Mechanics of Solids》2007,42(2):231-240
We use the minimax criterion to perform atheoretical analysis of determining the optimal interference for fitting elastic inclusions into holes in an isotropic elastic plate weakened by a periodic system of rectilinear cracks. We construct a closed system of algebraic equations that allows us to minimize the fracture parameters depending on the geometric and mechanical characteristics of the inclusions. The obtained fitting interference for the inclusions ensures an increase in the bearing strength of the compound plate under bending. 相似文献
3.
A. A. Korobkin T. I. Khabakhpasheva 《Journal of Applied Mechanics and Technical Physics》1998,39(5):782-791
The problem of wave impact on the edge of an elastic horizontal plate is studied within the framework of the Wagner approach
using the normal-modes method. The plate is governed by the Euler beam equation with simply supported ends. The liquid is
assumed to be ideal and incompressible. The problem is coupled: the elastic and hydrodynamic characteristics of the impact
process and the dimension of the contact region should be found simulatenously. An algorithm that permits a detailed study
of the impact on an elastic plate is proposed. The phenomenon of unlimited increase of hydrodynamic loads owing to the plate
flexibility (blockage) is revealed for fairly long plates.
Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirisk 630090. Translated from
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 39, No. 5, pp. 148–158, September–October, 1998. 相似文献
4.
I. V. Denisova D. A. Indeitsev A. V. Klimenko 《Journal of Applied Mechanics and Technical Physics》2006,47(4):515-522
The stability of an infinite viscoelastic plate on an elastic foundation in a viscous incompressible flow is studied. The
Navier-Stokes system is linearized for an exponential velocity profile. The problem is reduced by a Fourier-Laplace transform
to a system of ordinary differential equations, whose solution is found in the form of convergent series. The roots of the
dispersion relation that characterize the stability of the system are found numerically. The effect of the viscosities of
the fluid and the plate on the stability of the waves propagating upstream and downstream is studied. The results are compared
with available data on the stability of a viscoelastic plate in an ideal fluid flow.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 4, pp. 66–74, July–August, 2006. 相似文献
5.
S. V. Bosakov 《Journal of Applied Mechanics and Technical Physics》1999,40(1):166-171
A contact problem of an axisymmetrically loaded flexible ring plate lying frictionlessly on an elastic half-space is considered.
The plate subsidences are represented as a power series with unknown coefficients, which are determined by the Rayleigh-Ritz
method using the minimum condition for the total strain energy of the plate and the elastic foundation. The method of orthogonal
polynomials is used implicitly.
Belarussian State Polytechnical Academy, Minsk 220027. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol.
40, No. 1, pp. 193–198, January–February, 1999. 相似文献
6.
M. V. Mir-Salim-zade 《Journal of Applied Mechanics and Technical Physics》2008,49(6):1030-1039
A problem of fracture mechanics on crack nucleation in a reinforced plate attenuated by a periodic system of circular holes
is considered. Crack nucleation is modeled by a pre-fracture band in the plastic flow state with a constant stress, which
is considered as a region of attenuated bonds between material particles. Determining unknown parameters characterizing the
emerging crack reduces to solving a singular integral equation. The condition of crack emergence is formulated with allowance
for the criterion of the limiting opening of the faces of the material pre-fracture band.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 6, pp. 170–180, November–December, 2008. 相似文献
7.
I. Yu. Tsvelodub 《Journal of Applied Mechanics and Technical Physics》2007,48(5):708-711
An elastic plate with a physically nonlinear inclusion of an arbitrary shape is considered. This plate is subjected to pure
bending under the action of transverse forces and bending moments applied at the external boundary of the plate. There are
no loads distributed over the surface. The problem of finding external actions that provide a necessary uniform moment state
in the inclusion, i.e., prescribed constant moments and curvatures, is formulated and solved.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 5, pp. 104–107, September–October, 2007. 相似文献
8.
The thermoelastic problem for an infinite multiply connected anisotropic plate with holes and cracks in a linear heat flow
is solved. The stress distribution and the stress intensity factors on heat-insulated boundaries are analyzed numerically
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 9, pp. 127–136, September 2005. 相似文献
9.
Marié Grobbelaar-Van Dalsen 《Journal of Mathematical Fluid Mechanics》2008,10(3):388-401
In this paper we consider a model for fluid-structure interaction. The hybrid system describes the interaction between an
incompressible fluid in a three-dimensional container with interior a fixed domain and a thin elastic plate, the interface,
which coincides with a flexible flat part of the surface of the vessel containing the fluid. The motion of the fluid is described
by the linearized Navier–Stokes equations and the deformation of the plate by the classical plate equations for in-plane motions,
modified to include the viscous shear stress which the fluid exerts on the plate as well as damping of Kelvin–Voigt type.
We establish the existence of a unique weak solution of the interactive system of partial differential equations by considering
an appropriate variational formulation. Uniform stability of the energy associated with the model is shown under the assumption
that the potential plate energy is dominated by the dissipation induced by the viscosity of the fluid. The retention of the
physical parameters in the problem is an a priori requirement in this physical condition.
相似文献
10.
I. Yu. Tsvelodub 《Journal of Applied Mechanics and Technical Physics》2006,47(6):899-904
An infinite elastic isotropic plate with an elliptical, physically nonlinear inclusion loaded at infinity by uniformly distributed
moments is considered. Surface loads are absent. The problem of the stress-strain state of the plate is solved in a closed
form. It is shown that, for reasonably general stress-strain relations for the inclusion, the bending-moment field (and the
corresponding curvatures) in the inclusion is homogeneous.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 6, pp. 152–157, November–December, 2006. 相似文献
11.
A. A. Korobkin T. I. Khabakhpasheva 《Journal of Applied Mechanics and Technical Physics》1999,40(3):491-500
A plane unsteady-state linear problem of the immersion of an elastic plate of finite length in an ideal incompressible weightless
fluid is considered. The deflection of the plate and the velocity of its points are known at the initial moment of time. The
fluid occupies the lower halfplane, and its boundary outside the plate is free. The plate which is the bottom of a structure
immersed in the fluid with a constant velocity is modeled by an Euler beam. At the initial stage of immersion, when the displacement
of the structure is much smaller than the length of the plate, the plate deflection and the distribution of bending stresses
in it are determined. The model used allows one to estimate the maximum stresses occurring in the elastic plate during its
impact on water and to predict the moment and site of its occurrence. Calculations are performed under the conditions of the
experiment carried out in MARINTEX (Norway). Qualitative agreement between the numerical and experimental results is shown.
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. 150–160, May–June, 1999. 相似文献
12.
The self-consistent motion of a fluid and elastically oscillating plates partially covering the fluid is simulated numerically
in the linear approximation. The problem is reduced to the simultaneous solution of the Laplace equation for the fluid and
the equation of elastic plate oscillations for the ice. The numerical and analytical solutions, the latter obtained from an
integral equation containing the Green’s function, are compared. To solve the problem numerically, the boundary element method
for the Laplace equation and the finite element method for the equation describing the elastic plate are proposed. The coefficients
of transmission and reflection of surface gravity waves from the floating plates are calculated. It is shown that the solution
may be quasi-periodic with characteristics determined by the initial values of the wave and ice-floe parameters. The ice floes
may exert a filtering effect on the surface wave spectrum, essentially reducing its most reflectable components.
Sankt-Peterburg. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 123–131, May–June,
2000. 相似文献
13.
The thermomechanical bending of an elastic sandwich ring plate with light core on an elastic foundation is considered. To
describe the kinematics of the plate that is asymmetric across the thickness, broken-normal hypotheses are accepted. The foundation
reaction is described by Winkler's model. A system of equilibrium equations is derived and solved for displacements. Numerical
results for a sandwich ring plate in a temperature field are presented
Translated from Prikladnaya Mekhanika, Vol. 44, No. 9, pp. 94–103, September 2008. 相似文献
14.
A. A. Korobkin 《Journal of Applied Mechanics and Technical Physics》2000,41(2):286-292
The problem of the behavior of a floating elastic plate in waves is solved numerically. The normal mode method is used. For
a fluid of finite depth, the hydrodynamic coefficients are obtained in explicit form. Numerical results are compared with
experimental data for the stress distribution in the plate and also with numerical results of other authors. The results are
in good agreement for not very short waves. For incident waves whose wavelength is comparable with the length of the plate,
a long-wave approximation of the solution is proposed. Within the framework of this approximation, the solution is given in
analytical form.
Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 2, pp. 90–96, March–April, 2000. 相似文献
15.
The paper proposes a method, based on perfect-plasticity and perturbation theories, for instability analysis of an annular
flat disk tightly set on a shaft with no interference fit. The perturbed elastoplastic state of the rotating disk is analyzed
by determining the stress–strain state of a fixed elastic annular plate under in-plane loading. A characteristic equation
of the first order for the critical radius of the plastic zone in the disk subject to internal pressure is derived. The critical
rotation rate is calculated for different parameters of the disk 相似文献
16.
Guy Bouchitté Ilaria Fragalà Pierre Seppecher 《Archive for Rational Mechanics and Analysis》2011,202(3):829-874
The natural way to find the most compliant design of an elastic plate is to consider the three-dimensional elastic structures
which minimize the work of the loading term, and pass to the limit when the thickness of the design region tends to zero.
In this paper, we study the asymptotics of such a compliance problem, imposing that the volume fraction remains fixed. No
additional topological constraint is assumed on the admissible configurations. We determine the limit problem in different
equivalent formulations, and we provide a system of necessary and sufficient optimality conditions. These results were announced
in Bouchitté et al. (C. R. Acad. Sci. Paris, Ser. I. 345:713–718, 2007). Furthermore, we investigate the vanishing volume fraction limit, which turns out to be consistent with the results in Bouchitté and Fragalà (Arch. Rat. Mech. Anal. 184:257–284, 2007; SIAM J. Control Optim. 46:1664–1682, 2007). Finally, some explicit computation of optimal plates are given. 相似文献
17.
It is shown that a fracture in an elastic plate floating on the surface of a shallow liquid layer is a waveguide along which
wave energy can be transported. The edge wave velocity is less than the velocity of flexural-gravity waves. The existence
of an antisymmetric edge wave mode depends on the Poisson's ratio of the elastic plate.
Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, pp. 185–189, July–August, 1994. 相似文献
18.
I. Yu. Tsvelodub 《Journal of Applied Mechanics and Technical Physics》1999,40(4):719-726
We study an inverse elastoplastic problem of determining the residual stresses, the plasticity zone, and the external loads
for a plate for known residual deflections which occur after removal of these loads and elastic unloading. Assuming that the
deformation theory of plasticity is valid at the active stage of deformation, we prove the theorem of unique solution. An
iterative method of solution is proposed and a variational formulation of the problem is given. Some simple examples are considered.
Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 4, pp. 186–194, July–August, 1999. 相似文献
19.
D. A. Khodzhaev B. Kh. Éshmatov 《Journal of Applied Mechanics and Technical Physics》2007,48(6):905-914
The problem of vibrations of a viscoelastic plate with concentrated masses is studied in a geometrically nonlinear formulation.
In the equation of motion of the plate, the action of the concentrated masses is taken into account using Dirac δ-functions.
The problem is reduced to solving a system of Volterra type ordinary nonlinear integrodifferential equations using the Bubnov-Galerkin
method. The resulting system with a singular Koltunov-Rzhanitsyn kernel is solved using a numerical method based on quadrature
formulas. The effect of the viscoelastic properties of the plate material and the location and amount of concentrated masses
on the vibration amplitude and frequency characteristics is studied. A comparison is made of numerical calculation results
obtained using various theories.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 6, pp. 158–169, November–December, 2007. 相似文献
20.
I. V. Sturova 《Journal of Applied Mechanics and Technical Physics》2000,41(4):612-618
The oblique incidence of small-amplitude waves on an elastic semi-infinite composite plate floating on the free surface of
finite-depth water is studied. The front part of a constant-width plate is highed to the basic part and has characteristics
different from those of the basic part. The reflection and transmission coefficients of the waves and the vertical displacements
of the plate are determined. It is shown that the heterogeneity of the plate material exerts a strong effect on surface-wave
diffraction. Methods for decreasing the elastic deformations of the basic part of the plate are proposed.
Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 4, pp. 42–48, July–August, 2000. 相似文献