Generalized Differential Quadrature Finite Element Method applied to Advanced Structural Mechanics

Over the years the Differential Quadrature (DQ) method has distinguished because of its high accuracy, straightforward implementation and general ap- plication to a variety of problems. There has been an increase in this topic by several researchers who experienced significant development in the last years. DQ is essentially a generalization of the popular Gaussian Quadrature (GQ) used for numerical integration functions. GQ approximates a finite in- tegral as a weighted sum of integrand values at selected points in a problem domain whereas DQ approximate the derivatives of a smooth function at a point as a weighted sum of function values at selected nodes. A direct appli- cation of this elegant methodology is to solve ordinary and partial differential equations. Furthermore in recent years the DQ formulation has been gener- alized in the weighting coefficients computations to let the approach to be more flexible and accurate. As a result it has been indicated as Generalized Differential Quadrature (GDQ) method. However the applicability of GDQ in its original form is still limited. It has been proven to fail for problems with strong material discontinuities as well as problems involving singularities and irregularities. On the other hand the very well-known Finite Element (FE) method could overcome these issues because it subdivides the computational domain into a certain number of elements in which the solution is calculated. Recently, some researchers have been studying a numerical technique which could use the advantages of the GDQ method and the advantages of FE method. This methodology has got different names among each research group, it will be indicated here as Generalized Differential Quadrature Finite Element Method (GDQFEM).

Ricerche sull'allungamento di compenso in greco antico. Fonetica, fonologia, dialettologia.

La mia tesi offre uno studio sistematico di tutti i cambiamenti fonetici classificabili come 'Allungamento di Compenso' (AC) nella storia del greco antico. L'importanza di tali allungamenti vocalici nella fonologia storica e nella dialettologia del greco è, naturalmente, ben nota, ma diversi sviluppi individuali sono ancora discussi o poco chiari. Particolare attenzione è stata riservata all'odierno dibattito sull'AC nell'àmbito della fonologia teorica, e ad applicare correttamente i principi della linguistica generale ai fatti greci. Per ciascuna istanza di AC in greco, ho cercato di proporre una soluzione che sia coerente tanto con altri sviluppi noti del greco, sia con le tendenze attestate interlinguisticamente. Il greco risulta confermare la recente visione secondo cui non c'è un'unica regola o meccanismo responsabile dell'AC, ma esistono diverse tipologie, che in parte operano direttamente a livello della struttura fonologica astratta, in parte risultano dalla fonologizzazione di cambiamenti graduali e foneticamente condizionati. Entrambi i tipi risultano ben rappresentati in greco. Tuttavia, una tipologia di AC che è stata spesso postulata per il greco (l'AC da degeminazione) non è mai esistita in questa lingua. L'ultima parte di questo studio è dedicata a quattro casi separati di apparenti irregolarità nella distribuzione dell'AC o nel timbro della vocale lunga risultante. Dopo un'analisi filologica ed etimologica di tutto il materiale rilevante, si propongono delle spiegazioni per queste irregolarità.

A multi-instrumental approach to the study of equatorial ionosphere over South America

An extensive study of the morphology and the dynamics of the equatorial ionosphere over South America is presented here. A multi parametric approach is used to describe the physical characteristics of the ionosphere in the regions where the combination of the thermospheric electric field and the horizontal geomagnetic field creates the so-called Equatorial Ionization Anomalies. Ground based measurements from GNSS receivers are used to link the Total Electron Content (TEC), its spatial gradients and the phenomenon known as scintillation that can lead to a GNSS signal degradation or even to a GNSS signal ‘loss of lock’. A new algorithm to highlight the features characterizing the TEC distribution is developed in the framework of this thesis and the results obtained are validated and used to improve the performance of a GNSS positioning technique (long baseline RTK). In addition, the correlation between scintillation and dynamics of the ionospheric irregularities is investigated. By means of a software, here implemented, the velocity of the ionospheric irregularities is evaluated using high sampling rate GNSS measurements. The results highlight the parallel behaviour of the amplitude scintillation index (S4) occurrence and the zonal velocity of the ionospheric irregularities at least during severe scintillations conditions (post-sunset hours). This suggests that scintillations are driven by TEC gradients as well as by the dynamics of the ionospheric plasma. Finally, given the importance of such studies for technological applications (e.g. GNSS high-precision applications), a validation of the NeQuick model (i.e. the model used in the new GALILEO satellites for TEC modelling) is performed. The NeQuick performance dramatically improves when data from HF radar sounding (ionograms) are ingested. A custom designed algorithm, based on the image recognition technique, is developed to properly select the ingested data, leading to further improvement of the NeQuick performance.