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Boundary elements with equilibrium satisfaction—a consistent formulation for dynamic problems considering non‐linear effects
Author(s) -
Soares D.,
Telles J. C. F.,
Mansur W. J.
Publication year - 2005
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1463
Subject(s) - inertial frame of reference , boundary (topology) , element (criminal law) , fictitious force , boundary element method , dynamic problem , dynamic equilibrium , finite element method , mathematical optimization , mathematics , computer science , structural engineering , engineering , mathematical analysis , mechanics , classical mechanics , physics , political science , law , thermodynamics
This paper presents a boundary element (BE) formulation with complete dynamic equilibrium satisfaction with respect to the co‐ordinate axis directions and moments, including inertial forces. The new procedure is quite general and very easy to implement into BE existing codes. All the required expressions for both static and dynamic formulations are shown in the text and two dynamic examples, which take into account linear and non‐linear material behaviour, are presented at the end of the paper, showing the potentialities of the proposed methodology. Copyright © 2005 John Wiley & Sons, Ltd.