## Abstract The 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. The inertial effect at high frequencies
Body loads in scaled boundary finite-element method
✍ Scribed by Chongmin Song; John P. Wolf
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 298 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
✦ Synopsis
The solution of the scaled boundary ®nite-element equation in displacement with body loads is derived. The non-homogeneous term caused by the body loads is processed using the technique of variation of parameters. Integrals in the radial direction arise which can, however, be evaluated explicitly for concentrated loads and loads varying as power functions in the radial coordinate. In these cases no additional approximations are introduced. The scaled boundary ®nite-element method thus remains a semi-analytical fundamentalsolution-less boundary-element method based on ®nite elements.
📜 SIMILAR VOLUMES
In this boundary-element method based on ®nite elements only the boundary is discretized with surface ®nite elements yielding a reduction of the spatial dimension by one. No fundamental solution is necessary and thus no singular integrals must be evaluated and general anisotropic material can be ana
The scaled boundary ÿnite element method, alias the consistent inÿnitesimal ÿnite element cell method, is developed starting from the di usion equation. Only the boundary of the medium is discretized with surface ÿnite elements yielding a reduction of the spatial dimension by one. No fundamental sol
## Abstract The scaled boundary finite‐element method is a novel semi‐analytical technique, combining the advantages of the finite element and the boundary element methods with unique properties of its own. The method works by weakening the governing differential equations in one co‐ordinate direct
## Abstract This study presents a novel application of the scaled boundary finite element method (SBFEM) to model dynamic crack propagation problems. Accurate dynamic stress intensity factors are extracted directly from the semi‐analytical solutions of SBFEM. They are then used in the dynamic fract