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Seismic response of a cylindrical shell embedded in a layered viscoelastic half‐space. I: Formulation
Author(s) -
Luco J. E.,
de Barros F. C. P.
Publication year - 1994
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290230507
Subject(s) - shell (structure) , viscoelasticity , half space , oblique case , space (punctuation) , representation (politics) , plane (geometry) , harmonic , field (mathematics) , mathematical analysis , geometry , mathematics , structural engineering , physics , materials science , acoustics , engineering , computer science , composite material , linguistics , philosophy , politics , political science , pure mathematics , law , operating system
A method to obtain the three‐dimensional harmonic response of a infinitely long cylindrical shell of circular cross‐section embedded in a layered viscoelastic half‐space and subjected to harmonic plane waves impinging at an oblique angle with respect to the axis of the shell is presented. The procedure combines an indirect integral representation for the field in the exterior half‐space with a model of the pipeline or tunnel based on Donnell shell theory. The integral representation for the soil is based on the use of moving Green's functions for the layered viscoelastic half‐space. The accuracy of the formulation is tested by comparison of results obtained by using different discretizations. Extensive comparisons with previous two‐ and three‐dimensional results for the case of a shell embedded in a uniform half‐space and some new numerical results for a shell embedded in a multilayered half‐space are presented in a companion paper.