Results 61 to 70 of about 614 (179)

Computer simulating the forced vibrations of structure elements interacting with liquid under harmonic, impulse and seismic excitations

Вісник Харківського національного університету імені В.Н. Каразіна. Серія: Математичне моделювання, інформаційні технології, автоматизовані системи управління, 2019
The method for simulating forced vibrations of structure elements, which interact with water medium during service is developed. Harmonic, impulse and seismic loadings are accounted for.
Degtyarev Kirill, Kriutchenko Denys, Moskalenko Rоman, Palchikov Roman   +3 more
doaj   +1 more source

Integral equations with hypersingular kernels––theory and applications to fracture mechanics [PDF]

International Journal of Engineering Science, 2003
Hypersingular integrals of the type $I_α(T_n,m,r) = \int_{-1}^{1} \hpsngAbs \frac{T_n(s)(1-s^2)^{m-{1/2}}}{(s-r)^α}ds |r|<1$ and $I_α(U_n,m,r) = \int_{-1}^{1} \hpsngAbs \frac{U_n(s)(1-s^2)^{m-{1/2}}}{(s-r)^α}ds |r|<1$ are investigated for general integers $α$ (positive) and $m$ (non-negative), where $T_n(s)$ and $U_n(s)$ are the Tchebyshev ...
Chan, Youn-Sha, Fannjiang, Albert C., Paulino, Glaucio H.   +2 more
openaire   +4 more sources

Dual boundary element method for axisymmetric crack analysis

, 2002
In this paper a dual boundary element formulation is developed and applied to the evaluation of stress intensity factors in, and propagation of, axisymmetric cracks.
Wrobel, LC, Lacerda, LA
core  

On the convergence of the hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces

, 2008
In this paper the hp-version of the boundary element method is applied to the electric field integral equation on a piecewise plane (open or closed) Lipschitz surface. The underlying meshes are supposed to be quasi-uniform.
Bespalov, A, Heuer, N
core  

On a Hypersingular Equation of a Problem, for a Crack in Elastic Media [PDF]

, 2010
Mathematics Subject Classification 2010: 45DB05, 45E05, 78A45.We give a procedure to reduce a hypersingular integral equation, arising in 2d diffraction problems on cracks in elastic media, to a Fredholm integral equation of the second kind, to which it ...
Gil, Alexey, Samko, Stefan
core  

Peridynamic Model of Vibrations in a Two-Dimensional Periodic Structure

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Unlike classical continuum mechanics, where the linearized model is described by partial differential equations, the peridynamic model leads to an integro-differential equation with a non integrable kernel.
Yuldasheva, A.V.
doaj   +1 more source

A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations

Journal of Applied Mechanics, 1992
The limiting process that leads to the formulation of hypersingular boundary integral equations is first discussed in detail. It is shown that boundary integral equations with hypersingular kernels are perfectly meaningful even at non-smooth boundary points, and that special interpretations of the integrals involved are not necessary.
GUIGGIANI, MASSIMO, KRISHNASAMY G, RUDOLPHI TJ, RIZZO FJ   +3 more
openaire   +5 more sources

REAL AND COMPLEX HYPERSINGULAR INTEGRALS AND INTEGRAL EQUATIONS IN COMPUTATIONAL MECHANICS*

Demonstratio Mathematica, 1995
The paper contains some general comments on the history, the origin and the importance of hypersingular integrals as well as on some basic principles to handle them. Priority is given to the philosophy rather than to the details. Special emphasis is put on the method of introducing complex variables and on the interface problems in elasticity.
openaire   +1 more source

On Numerical Solution of Hypersingular Integral Equations of the First Kind

Владикавказский математический журнал, 2020
В работе рассматривается один метод квадратур для численного решения гиперсингулярных интегральных уравнений на классе функций, неограниченных на концах интервала интегрирования. Для гиперсингулярного интеграла с весовой функцией p(x)1/sqrt1-x2 строится квадратурная формула интерполяционного типа с применением нулей ортогонального многочлена Чебышева ...
openaire   +2 more sources

On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack

, 2000
In this paper we describe a fully discrete quadrature method for the numerical solution of a hypersingular integral equation of the first kind for the scattering of time-harmonic elastic waves by a cavity crack. We establish convergence of the method and
Chapko, R., Monch, L., Kress, Rainer
core   +1 more source