Premium
Dynamic stiffness of rigid rectangular foundations on the half‐space
Author(s) -
Triantafyllidis Th.
Publication year - 1986
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.4290140307
Subject(s) - galerkin method , mathematics , boundary value problem , half space , mathematical analysis , isotropy , fredholm integral equation , rotation (mathematics) , chebyshev polynomials , displacement (psychology) , foundation (evidence) , inertia , stiffness , geometry , integral equation , finite element method , classical mechanics , structural engineering , physics , engineering , psychology , archaeology , quantum mechanics , psychotherapist , history
The dynamic soil–structure interaction of a rigid rectangular foundation with the subsoil represents a mixed‐boundary value problem. This problem is formulated in terms of a system of coupled Fredholm integral equations of the first kind. The subsoil is modelled by a homogeneous, linear‐elastic and isotropic half‐space which is perfectly bonded to the rigid, rectangular foundation. An approximate solution for the resultant loads between the foundation and the half‐space due to a unit forced displacement or rotation is obtained using the Bubnov–Galerkin method. Using this method the displacement boundary value conditions are exactly satisfied and the contact stress distributions between the foundation and the half‐space are approximated by series expansions of Chebyshev polynomials. This method provides a simple means of studying the soil‐structure interaction of rectangular foundations with different inertia properties.