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universidad nacional de c´ordoba - Facultad de Ciencias Exactas ...

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ABSTRACT<br />

This thesis presents a new formulation of the Indirect Boundary Element Method (IBEM)<br />

based on the principle of virtual work for the dynamic analysis of frame structures buried in<br />

semi-infinite elastic media. Unlike conventional IBEM formulations, the present one leads<br />

to symmetric stiffness matrices for the continuum domain that may be <strong>de</strong>fined in terms<br />

of conventional structural analysis variables (i.e., generalized displacements and lumped<br />

forces). It is shown that, in the context of the present formulation, rotation <strong>de</strong>grees of<br />

freedom (DOF) may readily be introduced in the interpolation scheme with very little<br />

additional computational effort. By means of the present formulation, a two-no<strong>de</strong> element<br />

with three DOF per no<strong>de</strong> is <strong>de</strong>fined for the analysis of plane frames buried on a half-space<br />

subjected to in-plane loads and moments. In or<strong>de</strong>r to show the consistency of the present<br />

formulation with well established results, the static and dynamic stiffness of a single piles<br />

and pile groups, as evaluated by means of the present formulation, is compared with other<br />

results from the literature. Finally, the dynamic stiffness of a single buried frame un<strong>de</strong>r<br />

vertical and horizontal loading is studied. The analysis shows that the stiffness of the full<br />

frame may not always be accurately estimated by means of results for single piles, even<br />

though proper dynamic interaction factors <strong>de</strong>vised by Gazetas et al. ([10]) are taken into<br />

account.<br />

Thesis supervisor: Dr. Carlos A. Prato<br />

Title:<br />

Plenary Professor<br />

4

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