The Proper Generalized Decomposition With Application In Problems Of Dynamics

In this paper we address the new reduction method called Proper Generalized Decomposition (PGD) which is a discretization technique based on the use of separated representation of the unknown fields, specially well suited for solving multidimensional parametric equations. In this case, it is applied to the solution of dynamics problems. We will focus on the dynamic analysis of an one-dimensional rod with a unit harmonic load of frequency (ω) applied at a point of interest. In what follows, we will present the application of the methodology PGD to the problem in order to approximate the displacement field as the sum of the separated functions. We will consider as new variables of the problem, parameters models associated with the characteristic of the materials, in addition to the frequency. Finally, the quality of the results will be assessed based on an example.

Rehabilitación, regeneración y renovación urbana en Bilbao la Vieja, San Francisco y Zabala

El artículo analiza el proceso de rehabilitación de los barrios de Bilbao la Vieja, San Francisco y Zabala entre los años 1990 y 2014. El caso es destacable en el panorama de la rehabilitación urbana en España por ser una experiencia de largo recorrido con intervenciones de rehabilitación edificatoria, de renovación urbana y de regeneración urbana, entendidas como multidimensionales desde los primeros planes, y cuyo modelo de gestión, bajo el liderazgo y compromiso institucional, ha ido adaptándose a las circunstancias cambiantes y al desarrollo del propio proceso.