Dynamic identification of structures: experimental assessment of modal parameteres through methods in frequency domain, in time-frequency domain and model updating

Among the experimental methods commonly used to define the behaviour of a full scale system, dynamic tests are the most complete and efficient procedures. A dynamic test is an experimental process, which would define a set of characteristic parameters of the dynamic behaviour of the system, such as natural frequencies of the structure, mode shapes and the corresponding modal damping values associated. An assessment of these modal characteristics can be used both to verify the theoretical assumptions of the project, to monitor the performance of the structural system during its operational use. The thesis is structured in the following chapters: The first introductive chapter recalls some basic notions of dynamics of structure, focusing the discussion on the problem of systems with multiply degrees of freedom (MDOF), which can represent a generic real system under study, when it is excited with harmonic force or in free vibration. The second chapter is entirely centred on to the problem of dynamic identification process of a structure, if it is subjected to an experimental test in forced vibrations. It first describes the construction of FRF through classical FFT of the recorded signal. A different method, also in the frequency domain, is subsequently introduced; it allows accurately to compute the FRF using the geometric characteristics of the ellipse that represents the direct input-output comparison. The two methods are compared and then the attention is focused on some advantages of the proposed methodology. The third chapter focuses on the study of real structures when they are subjected to experimental test, where the force is not known, like in an ambient or impact test. In this analysis we decided to use the CWT, which allows a simultaneous investigation in the time and frequency domain of a generic signal x(t). The CWT is first introduced to process free oscillations, with excellent results both in terms of frequencies, dampings and vibration modes. The application in the case of ambient vibrations defines accurate modal parameters of the system, although on the damping some important observations should be made. The fourth chapter is still on the problem of post processing data acquired after a vibration test, but this time through the application of discrete wavelet transform (DWT). In the first part the results obtained by the DWT are compared with those obtained by the application of CWT. Particular attention is given to the use of DWT as a tool for filtering the recorded signal, in fact in case of ambient vibrations the signals are often affected by the presence of a significant level of noise. The fifth chapter focuses on another important aspect of the identification process: the model updating. In this chapter, starting from the modal parameters obtained from some environmental vibration tests, performed by the University of Porto in 2008 and the University of Sheffild on the Humber Bridge in England, a FE model of the bridge is defined, in order to define what type of model is able to capture more accurately the real dynamic behaviour of the bridge. The sixth chapter outlines the necessary conclusions of the presented research. They concern the application of a method in the frequency domain in order to evaluate the modal parameters of a structure and its advantages, the advantages in applying a procedure based on the use of wavelet transforms in the process of identification in tests with unknown input and finally the problem of 3D modeling of systems with many degrees of freedom and with different types of uncertainty.

L'Architettura religiosa di Luis Moya Blanco. La costruzione come principio compositivo

La presente ricerca, L’architettura religiosa di Luis Moya Blanco. La costruzione come principio compositivo, tratta i temi inerenti l’edificazione di spazi per il culto della religione cristiana che l’architetto spagnolo progetta e realizza a Madrid dal 1945 al 1970. La tesi è volta ad indagare quali siano i principi alla base della composizione architettonica che si possano considerare immutati, nel lungo arco temporale in cui l’autore si trova ad operare. Tale indagine, partendo da una prima analisi riguardante gli anni della formazione e gli scritti da lui prodotti, verte in particolare sullo studio dei progetti più recenti e ancora poco trattati dalla critica. L’obbiettivo della presente tesi è dunque quello di apportare un contributo originale sull’aspetto compositivo della sua architettura. Ma analizzare la composizione significa, in Moya, analizzare la costruzione che, a dispetto del susseguirsi dei linguaggi, rimarrà l’aspetto principale delle sue opere. Lo studio dei manufatti mediante categorie estrapolate dai suoi stessi scritti – la matematica, il numero, la geometria e i tracciati regolatori - permette di evidenziare punti di contatto e di continuità tra le prime chiese, fortemente caratterizzate da un impianto barocco, e gli ultimi progetti che sembrano cercare invece un confronto con forme decisamente moderne. Queste riflessioni, parallelamente contestualizzate nell’ambito della sua consistente produzione saggistica, andranno a confluire nell’idea finale per cui la costruzione diventi per Luis Moya Blanco il principio compositivo da cui non si può prescindere, la regola che sostanzia nella materia il numero e la geometria. Se la costruzione è dunque la pietrificazione di leggi geometrico-matematiche che sottendono schemi planimetrici; il ricorso allo spazio di origine centrale non risponde all’intenzione di migliorare la liturgia, ma a questioni di tipo filosofico-idealista, che fanno corrispondere alla somma naturalezza della perfezione divina, la somma perfezione della forma circolare o di uno dei suoi derivati come l’ellisse.