Top Banner
A simple coupling of 2D BEM and FEM bar model applied to mass matrix elastodynamic analysis Coda,H.B*; Venturini W.S* and Aliabadi, M.HT * Sao Carlos School of Eng., University of Sao Paulo, Br, venturin@usp. br, hbcoda@wessex. ac. uk + Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton, UK, ferri@wessex. ac. uk Abstract In this work a finite element bar is coupled to a body modelled by two-dimensional Boundary Element Method. The couplingis made for both static and mass dynamic problems. Examples are presented to demonstrate accuracy and efficiency of the proposed formulation. Introduction In recent years much progress has been made in coupling the finite elements with the boundary elements. A review of different techniques can be found in Beskos and Stamos[l]andBeer[2]. In elastodynamics, Antes and Steinfield[3] presented a three-dimensional boundary element formulation formassive elastic block foundation resting on the free surface of a supporting homogeneous soil. They used a time domain BEM formulation. A similar formulation was also used by Guan and Novak[4]to analyse thetransient response of a group of rigid strip foundations. Later, Luco and Barros[5] presented a coupled finite element and boundary element formulation in frequency domain for analysis of seismic response of a cylindrical shell embedded in a viscoelastic half space. Barreto et. al[6] and Coda and Venturing?] presented a coupled BEM/FEM and BEM/BEM for analysis of plate soil interactionsusing a three-dimensional time domain formulation. Later, the formulation was extended to the analysisof rigid foot on soil problems in [8] and massive block on soil in [9]. In this paper a simple technique for connecting a finite element bar to a two- dimensional medium modelled by the boundary element is presented. The BEM is formulated by a transient mass approach using the static fundamental solutions (see for example [10,11,12]). This approach is presented here again with a view of analysing finite regions reinforcedby means of linear bars modelled by FEM. Transactions on Modelling and Simulation vol 18, © 1997 WIT Press, www.witpress.com, ISSN 1743-355X
10

A simple coupling of 2D BEM and FEM bar model applied to mass matrix elastodynamic analysis

Jun 14, 2023

Download

Documents

Sophie Gallet
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.