Results 171 to 180 of about 209 (201)
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The scaled boundary finite element method in structural dynamics
International Journal for Numerical Methods in Engineering, 2008AbstractThe scaled boundary finite element method is extended to solve problems of structural dynamics. The dynamic stiffness matrix of a bounded (finite) domain is obtained as a continued fraction solution for the scaled boundary finite element equation.
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The scaled boundary finite element method for the analysis of 3D crack interaction
Journal of Computational Science, 2015Abstract The scaled boundary finite element method (SBFEM) can be applied to solve linear elliptic boundary value problems when a so-called scaling center can be defined such that every point on the boundary is visible from this scaling center. From a more practical point of view, this means that in linear elasticity, a separation of variables ansatz
Sascha Hell, Wilfried Becker
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1998
Abstract The scaled boundary finite-element method, alias the consistent infinitestimal finite-element cell method, is developed. The governing partial differential equations of linear elastodynamics are transformed to a system of linear second-order ordinary differential equations of displacements as functions of the radial coordinate.
Song, Ch., Wolf, J.P.
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Abstract The scaled boundary finite-element method, alias the consistent infinitestimal finite-element cell method, is developed. The governing partial differential equations of linear elastodynamics are transformed to a system of linear second-order ordinary differential equations of displacements as functions of the radial coordinate.
Song, Ch., Wolf, J.P.
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The scaled boundary finite-element method: analytical solution in frequency domain
Computer Methods in Applied Mechanics and Engineering, 1998A new procedure derived from the boundary finite element method (BFEM) is presented. This procedure is called the scaled BFEM since the author introduces a scaling parameter \(\xi\). The idea is based on the fact that around a node supporting a shape function \(N(\xi,\eta)\), it is possible to define a new radial coordinate \(\xi\). For a domain with a
Song, Ch., Wolf, J.P.
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Anh‐hierarchical adaptive procedure for the scaled boundary finite‐element method
International Journal for Numerical Methods in Engineering, 2002AbstractThe scaled boundary finite‐element method (a novel semi‐analytical method for solving linear partial differential equations) involves the solution of a quadratic eigenproblem, the computational expense of which rises rapidly as the number of degrees of freedom increases.
Deeks, A. J., Wolf, J. P.
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On the Scaled Boundary Finite Element Method for Magnetotelluric Modelling
Geophysical ProspectingABSTRACT The solution of magnetotelluric equations is used to determine the apparent resistivity and to model the electromagnetic field's behaviour within the Earth. In this paper, we extend the scaled boundary finite element method (SBFEM) to compute the solutions of magnetotelluric equations.
VS Suvin +4 more
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The scaled boundary finite element method for plate bending problems
2023This thesis presents an efficient and accurate semi-analytical solution procedure, based upon the scaled boundary finite element method (SBFEM), for modeling thin plates under transverse loadings and different types of boundary conditions. The key formulation is established within the framework of Kirchhoff’s plate bending theory.
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The scaled boundary finite element method
Computational Mechanics, 2004J. P. Wolf, Martin Schanz
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Scaled Boundary Finite Element Method
Applied Mechanics Reviews, 2004JP Wolf,, Long-Yuan Li,
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2011
The scaled boundary finite element method (SBFEM) was extended to solve dam-reservoir interaction problems in the time domain, where dams were flexible and the fluid in reservoir was semi-infinite and compressible. Transient responses of dam-reservoir systems subjected to horizontal ground motions were analyzed based on the SBFEM and finite element ...
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The scaled boundary finite element method (SBFEM) was extended to solve dam-reservoir interaction problems in the time domain, where dams were flexible and the fluid in reservoir was semi-infinite and compressible. Transient responses of dam-reservoir systems subjected to horizontal ground motions were analyzed based on the SBFEM and finite element ...
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