共查询到20条相似文献,搜索用时 18 毫秒
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Generalized complex potentials of the plane problem of thermoelectromagnetoelasticity are introduced. Expressions for the
basic characteristics of the thermoelectromagnetoelastic state, boundary conditions for the complex potentials, and the general
form of these functions for a multiply connected plate are obtained. The potentials are used to solve the problem for an elliptic
disk with constant temperature at the edge and a concentrated heat source at the center 相似文献
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This paper describes the method for solving the problems of linear viscoelasticity for thin plates under the influence of bending moments and transverse forces. The small parameter method was used to reduce the original problem to a sequence of boundary-value problems solved via complex potentials of the bending theory of multiply connected anisotropic plates. The general representations of complex potentials and boundary conditions for their determination are obtained. The method for determining the stress state of the plate at any time with respect to complex approximation potentials is developed by replacing the powers of the small parameter by the Rabotnov operators. The problem of a plate with elliptical holes is solved. The numerical calculation results in the case of a plate with one or two holes are given. The variation of bending moments in time until stationary condition is reached is studied, and the influence of geometric characteristics of the plate on these variable is described. 相似文献
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Y. Z. Chen X. Y. Lin Z. X. Wang 《Archive of Applied Mechanics (Ingenieur Archiv)》2010,80(9):1055-1067
This paper investigates the degenerate scale problem for plane elasticity in a multiply connected region with an outer elliptic
boundary. Inside the elliptic boundary, there are many voids with arbitrary configurations. The problem is studied on the
relevant homogenous boundary integral equation. The suggested solution is derived from a solution of a relevant problem. It
is found that the degenerate scale and the non-trivial solution along the elliptic boundary in the problem are same as in
the case of a single elliptic contour without voids. The present study mainly depends on integrations of several integrals,
which can be integrated in a closed form. 相似文献
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Degenerate scale for multiply connected Laplace problems 总被引:3,自引:0,他引:3
The degenerate scale in the boundary integral equation (BIE) or boundary element method (BEM) solution of multiply connected problem is studied in this paper. For the mathematical analysis, we use the null-field integral equation, degenerate kernels and Fourier series to examine the solvability of BIE for multiply connected problem in the discrete system. Two treatments, the method of adding a rigid body term and CHEEF concept (Combined Helmholtz Exterior integral Equation Formulation), are applied to remedy the non-unique solution due to the critical scale. The efficiency and accuracy of the two regularizations are also addressed. For simplicity without loss of generality, the eccentric case is considered to demonstrate the occurring mechanism of degenerate scale. 相似文献
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Darren Crowdy 《Theoretical and Computational Fluid Dynamics》2013,27(1-2):1-19
Analytical expressions for the complex potentials associated with irrotational incompressible flows due to a finite collection of point sources and sinks in a circular fluid region, of arbitrary finite connectivity, are derived. By the conformal invariance of the boundary value problem, the flows due to point sources and sinks in arbitrary multiply connected fluid domains are then determined up to conformal mapping. As an application of the theory, it is combined with recent results on conformal slit mappings to derive explicit formulae for the effective size of an array of holes in a screen, or grating, following considerations presented by Tuck (Adv Appl Mech 15:89–158, 1975). 相似文献
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This paper investigates the degenerate scale problem for the Laplace equation and plane elasticity in a multiply connected region with an outer circular boundary. Inside the boundary, there are many voids with arbitrary configurations. The problem is analyzed with a relevant homogenous BIE (boundary integral equation). It is assumed that all the inner void boundary tractions are equal to zero, and tractions on the outer circular boundary are constant. Therefore, all the integrations in BIE are performed on the outer circular boundary only. By using the relation z * conjg(z) = a * a, or conjg(z) = a * a/z on the circular boundary with radius a, all integrals can be reduced to an integral for complex variable and they can be integrated in closed form. The degenerate scale a = 1 is found in the Laplace equation and in plane elasticity regardless of the void configuration. 相似文献
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N. P. Weatherill 《国际流体数值方法杂志》1988,8(2):181-197
A method for generating irregular triangular computational grids in two-dimensional multiply connected domains is described. A set of points around each body is defined using a simple grid generation technique appropriate to the geometry of each body. The Voronoi regions associated with the resulting global point distribution are constructed from which the Delaunay triangulation of the set of points is thus obtained. The definition of Voronoi regions ensures that the triangulation produces triangles of reasonable aspect ratios given a grid point distribution. The approach readily accommodates local clustering of grid points to facilitate variable resolution of the domain. The technique is generally applicable and has been used with success in computing triangular grids in multiply connected planar domains. The suitability of such grids for flow calculations is demonstrated using a finite element method for solution of the inviscid transonic flow over two- dimensional high-lift aerofoil configurations. 相似文献
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S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 31, No. 12, pp. 74–80, December, 1995. 相似文献
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