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Infinite boundary elements for the dynamic analysis of machine foundations
Author(s) -
Bu Suhol
Publication year - 1997
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/(sici)1097-0207(19971115)40:21<3901::aid-nme241>3.0.co;2-4
Subject(s) - boundary element method , discretization , boundary (topology) , quadratic equation , boundary value problem , finite element method , function (biology) , mathematical analysis , field (mathematics) , mathematics , geometry , structural engineering , engineering , evolutionary biology , pure mathematics , biology
This paper describes an infinite boundary element technique for the dynamic analysis of three‐dimensional machine foundations. The core region is modelled with quadratic elements while infinite boundary elements are used to discretize the unbounded far‐field outside the immediate vicinity of the loaded area. The dynamic decay function assumed in the analysis is based on Rayleigh wave attenuation away from the centre of the foundation. Effective integration schemes for oscillatory integrals have been developed. Illustrative examples are presented in order to demonstrate the applicability and accuracy of the proposed infinite boundary element. © 1997 John Wiley & Sons, Ltd.