“Il tocco pianistico: premesse storiche e sviluppi scientifici” si pone l’obiettivo di provare la politimbricità del pianoforte. A tal fine, ho indagato la relazione tra il gesto, la meccanica del pianoforte e il suono, problema sfiorato da alcuni maestri del Novecento, ma mai approfondito e sviscerato per ovvie ragioni riguardanti la mancanza di una tecnologia idonea e competenze difficili da trovare in una medesima persona. Per quest’ultima ragione mi sono avvalsa della collaborazione sia del Laboratorio di Anatomia Funzionale dell'Apparato Locomotore del Dipartimento di Morfologia Umana dell’Università di Milano, dove lavorano esperti delle più moderne tecnologie idonee alla registrazione del movimento, sia dell’ingegnere Alberto Amendola, docente a contratto di Acustica musicale presso l’Università di Parma per ciò che concerne l’analisi del suono e i rilievi acustici. La tesi si articola in due parti organizzate in quattro capitoli. Nel primo, La didattica pianistica nel primo trentennio del Novecento: il tocco e il timbro come parole chiave, dopo aver tracciato un quadro generale riguardante i concetti di ‘tocco’ e ‘timbro’ incontrati nei metodi e trattati del Sette/Ottocento, già affrontati nella tesi di laurea, procedo ad analizzare alcuni dei lavori più rappresentativi scritti tra la fine dell’Ottocento e gli anni Trenta del Novecento (The Leschetizky Method. A Guide to Fine and Correct Piano Playing di Malwine Brée, Über die physiologischen Fehler und die Umgestaltung der Klaviertechnik di Albert Maria Steinhausen, Die Grundlagen der Klaviertechnik di Rudolph Maria Breithaupt e The Phisiological Mechanics of Piano Technique di Otto Ortmann). Tali studi presentano una parte dedicata alle diverse modalità di produzione sonora e, quasi tutti, giungono ad una medesima conclusione: pur nella sua ricchezza, il pianoforte è uno strumento monotimbrico, dove la differenza tra i suoni è data dall’intensità e dall’agogica. Al fine di provare la politimbricità del pianoforte, il mio percorso di studi si è scontrato sia con la meccanica del pianoforte sia con l’acustica musicale. Ho fatto precedere quindi l’indagine scientifica, che confluisce nel capitolo IV, da una sezione in cui presento l’evoluzione della meccanica del pianoforte fino a giungere alla descrizione della meccanica moderna (capitolo II, Il Pianoforte: meccanica e modalità di produzione del suono), e da un’altra in cui affronto i fondamenti di acustica musicale, al fine di fornire al lettore i mezzi basilari per cimentarsi con la parte scientifica (capitolo III, Cenni di acustica musicale). Il capitolo IV è il resoconto organico e sistematico delle sperimentazioni svolte durante il dottorato presso il laboratorio di Anatomia funzionale dell’apparato locomotore dell’Università di Milano. La presentazione ripercorre necessariamente le tappe della ricerca considerata la novità assoluta dell’oggetto indagato. All’illustrazione dei dati di ogni fase segue sempre la discussione e l’interpretazione dei risultati per garantire la validità dell’esperimento. L’interesse della ricerca è stato condiviso oltre che dal dipartimento di Anatomia, anche dalla casa costruttrice di pianoforti Bechstein che ha costruito una meccanica speciale, e dalla ditta di pianoforti Angelo Fabbrini, che ha messo a disposizione un mezza coda Bechstein per effettuare i rilievi. Il capitolo IV, che rappresenta, dunque, il cuore della presente dissertazione dottorale, dimostra che il pianoforte è uno strumento politimbrico: mettendo in relazione il gesto pianistico, la reazione della meccanica e il suono è risultato che al movimento del martello, ripetibilmente diverso a seconda del tocco pianistico, corrisponde una reazione acustica che varia ripetibilmente in maniera differente a seconda del tocco.

La ricerca di Roberta Frigeni, svolta ad ampio spettro diacronico, è condotta su di una campionatura di specula principum - editi ed inediti - elaborati tra XII e XV secolo, e ne indaga il linguaggio quale referente privilegiato, rilevandone persistenze terminologiche e nuclei sintagmatici ricorrenti, al fine di individuare concetti utili a delineare un lessico politico proprio di questa testualità, in corrispondenza al sorgere dell’entità statale europea nel XIII secolo (con particolare riguardo all’area francese, ai regni di Luigi IX e Filippo il Bello). A partire da un’analisi critica delle tesi di Quentin Skinner circa la ‘ridefinizione paradiastolica’ del sistema delle virtù classiche entro il trattato De principatibus, lo studio innesca un percorso di indagine à rebours che - sondando il linguaggio - rintraccia nella trattatistica delle institutiones regum del XV secolo (Pontano, Patrizi, Carafa, Platina) e degli specula principum medievali (Elinando di Froidmont, Gilberto di Tournai, Vincenzo di Beauvais, Guglielmo Peraldo, Egidio Romano, Guido Vernani) una consonanza di motivi nella sintassi e nell’immaginario preposti ad illustrare le potenzialità semantiche del nome di prudentia, individuata quale unica virtù sopravvissuta alla ‘ridescrizione’ del codice etico operata da Machiavelli. Indagando i progressivi ampliamenti del campo semantico sorto attorno al nome della virtù di prudenza entro la letteratura speculare, la ricerca mostra come il dialettico rapporto con i lessemi di sapientia, astutia, fides ed experientia abbia avuto un ruolo determinante per il sorgere di un’immagine del principe emancipata dalla figura biblica del “rex sapiens”, e per la formazione di un lessico ospitale delle manifestazioni concrete del vivere politico ed economico. I processi di dilatazione e rarefazione del bacino semantico di prudentia sono, infatti, funzionali ad illustrare come il linguaggio della testualità speculare registri l’acquisizione di nuove strumentazioni teoriche grazie al rinnovamento delle fonti a disposizione lungo il secolo XIII, che - sostituendo progressivamente il più recente dossier aristotelico al solo apparato veterotestamentario - permettono di integrare la concezione delle virtù in senso operativo, adattandola alle esigenze politico-economiche dei nuovi contesti istituzionali monarchici.

This doctoral dissertation faces the debated topic of the traditions of Republicanism in the Modern Age assuming, as a point of view, the problem of the "mixed" government. The research therefore dwells upon the use of this model in Sixteenth-Century Italy, also in connection with the historical events of two standard Republics such as Florence and Venice. The work focuses on Donato Giannotti (1492-1573), Gasparo Contarini (1483-1542) and Paolo Paruta (1540-1598), as the main figures in order to reconstruct the debate on "mixed" constitution: in them, decisive in the attention paid to the peculiar structure of the Venetian Republic, the only of a certain dimension and power to survive after 1530. The research takes into account also the writings of Traiano Boccalini (1556-1613): he himself, though being involved in the same topics of debate, sets for some aspects his considerations in the framework of a new theme, that of Reason of State.

Effects of the conflict between reason and passion in Bernard Mandeville’s moral, economic and political thought My PhD dissertation focuses on Bernard Mandeville (1670-1732), a Dutch philosopher who moved to London in his late twenties. The aspect of Mandeville’s thought I take into account in my research is the conflicting relation between reason and passions, and the consequences that Mandeville’s view of this conflict has in the development of his theory of human nature which, I argue, is what grounds his moral, economic and, above all, political theory. According to Mandeville, reason is fundamentally weak. Passions influence with more strength human actions, and, eventually, are the ones which motivate them. The role of reason is merely instrumental, restricted to finding appropriate means in order to reach the desired ends, which are capricious and inconstant, since they all come from unstable passions. Reason cannot take decisions meant to act in the long term, pursuing an object which has not a selfish and temporary nature. There is no possibility, thus, that men’s actions aim just to achieve a good and just society, without their interests being directly involved. The basically selfish root of every desire leads Mandeville to claim that there is neither benevolence nor altruism which guides human behaviour. Hence he expresses a judgement on the moral character of human beings, always busy with their self-satisfaction, and hardly ever considering what would be good on a wider perspective, including other people’s sake. The anthropological features ascribed to men by Mandeville, are those which lead him to prefer a political system where governors are not supposed to have particular abilities, either from an intellectual or from a moral point of view, and peace and order are preserved by the bureaucratic machine, which is meant to work with the least effort on the part of the politicians, and no big harm can be done even by corrupted or wicked governors. This system is adopted with an eye at remedying human deficiencies: Mandeville takes into primary account, when he thinks of how to build a peaceful and functioning society, that everyone is concerned with his selfish interest, and that the rationality of a single politician, or of a group of them belonging to a same generation, cannot find a good “solution” to govern men able to last over the long period, and to work in different ages. This implies a refusal of the Hobbesian theory of the pactum subjectionis, which has the character of a rational and definitive choice, and leads Mandeville to consider the order which arises spontaneously, without any plan or rational intervention.

La valutazione dell’intensità secondo una procedura formale trasparente, obiettiva e che permetta di ottenere valori numerici attraverso scelte e criteri rigorosi, rappresenta un passo ed un obiettivo per la trattazione e l’impiego delle informazioni macrosismiche. I dati macrosismici possono infatti avere importanti applicazioni per analisi sismotettoniche e per la stima della pericolosità sismica. Questa tesi ha affrontato il problema del formalismo della stima dell’intensità migliorando aspetti sia teorici che pratici attraverso tre passaggi fondamentali sviluppati in ambiente MS-Excel e Matlab: i) la raccolta e l’archiviazione del dataset macrosismico; ii), l’associazione (funzione di appartenenza o membership function) tra effetti e gradi di intensità della scala macrosismica attraverso i principi della logica dei fuzzy sets; iii) l’applicazione di algoritmi decisionali rigorosi ed obiettivi per la stima dell’intensità finale. L’intera procedura è stata applicata a sette terremoti italiani sfruttando varie possibilità, anche metodologiche, come la costruzione di funzioni di appartenenza combinando le informazioni macrosismiche di più terremoti: Monte Baldo (1876), Valle d’Illasi (1891), Marsica (1915), Santa Sofia (1918), Mugello (1919), Garfagnana (1920) e Irpinia (1930). I risultati ottenuti hanno fornito un buon accordo statistico con le intensità di un catalogo macrosismico di riferimento confermando la validità dell’intera metodologia. Le intensità ricavate sono state poi utilizzate per analisi sismotettoniche nelle aree dei terremoti studiati. I metodi di analisi statistica sui piani quotati (distribuzione geografica delle intensità assegnate) si sono rivelate in passato uno strumento potente per analisi e caratterizzazione sismotettonica, determinando i principali parametri (localizzazione epicentrale, lunghezza, larghezza, orientazione) della possibile sorgente sismogenica. Questa tesi ha implementato alcuni aspetti delle metodologie di analisi grazie a specifiche applicazioni sviluppate in Matlab che hanno permesso anche di stimare le incertezze associate ai parametri di sorgente, grazie a tecniche di ricampionamento statistico. Un’analisi sistematica per i terremoti studiati è stata portata avanti combinando i vari metodi per la stima dei parametri di sorgente con i piani quotati originali e ricalcolati attraverso le procedure decisionali fuzzy. I risultati ottenuti hanno consentito di valutare le caratteristiche delle possibili sorgenti e formulare ipotesi di natura sismotettonica che hanno avuto alcuni riscontri indiziali con dati di tipo geologico e geologico-strutturale. Alcuni eventi (1915, 1918, 1920) presentano una forte stabilità dei parametri calcolati (localizzazione epicentrale e geometria della possibile sorgente) con piccole incertezze associate. Altri eventi (1891, 1919 e 1930) hanno invece mostrato una maggiore variabilità sia nella localizzazione dell’epicentro che nella geometria delle box: per il primo evento ciò è probabilmente da mettere in relazione con la ridotta consistenza del dataset di intensità mentre per gli altri con la possibile molteplicità delle sorgenti sismogenetiche. Anche l’analisi bootstrap ha messo in evidenza, in alcuni casi, le possibili asimmetrie nelle distribuzioni di alcuni parametri (ad es. l’azimut della possibile struttura), che potrebbero suggerire meccanismi di rottura su più faglie distinte.

Two analytical models are proposed to describe two different mechanisms of lava tubes formation. A first model is introduced to describe the development of a solid crust in the central region of the channel, and the formation of a tube when crust widens until it reaches the leve\'es. The Newtonian assumption is considered and the steady state Navier- Stokes equation in a rectangular conduit is solved. A constant heat flux density assigned at the upper flow surface resumes the combined effects of two thermal processes: radiation and convection into the atmosphere. Advective terms are also included, by the introduction of velocity into the expression of temperature. Velocity is calculated as an average value over the channel width, so that lateral variations of temperature are neglected. As long as the upper flow surface cools, a solid layer develops, described as a plastic body, having a resistance to shear deformation. If the applied shear stress exceeds this resistance, crust breaks, otherwise, solid fragments present at the flow surface can weld together forming a continuous roof, as it happens in the sidewall flow regions. Variations of channel width, ground slope and effusion rate are analyzed, as parameters that strongly affect the shear stress values. Crust growing is favored when the channel widens, and tube formation is possible when the ground slope or the effusion rate reduce. A comparison of results is successfully made with data obtained from the analysis of pictures of actual flows. The second model describes the formation of a stable, well defined crust along both channel sides, their growing towards the center and their welding to form the tube roof. The fluid motion is described as in the model above. Thermal budget takes into account conduction into the atmosphere, and advection is included considering the velocity depending both on depth and channel width. The solidified crust has a non uniform thickness along the channel width. Stresses acting on the crust are calculated using the equations of the elastic thin plate, pinned at its ends. The model allows to calculate the distance where crust thickness is able to resist the drag of the underlying fluid and to sustain its weight by itself, and the level of the fluid can lower below the tube roof. Viscosity and thermal conductivity have been experimentally investigated through the use of a rotational viscosimeter. Analyzing samples coming from Mount Etna (2002) the following results have been obtained: the fluid is Newtonian and the thermal conductivity is constant in a range of temperature above the liquidus. For lower temperature, the fluid becomes non homogeneous, and the used experimental techniques are not able to detect any properties, because measurements are not reproducible.

Subduction zones are the favorite places to generate tsunamigenic earthquakes, where friction between oceanic and continental plates causes the occurrence of a strong seismicity. The topics and the methodologies discussed in this thesis are focussed to the understanding of the rupture process of the seismic sources of great earthquakes that generate tsunamis. The tsunamigenesis is controlled by several kinematical characteristic of the parent earthquake, as the focal mechanism, the depth of the rupture, the slip distribution along the fault area and by the mechanical properties of the source zone. Each of these factors plays a fundamental role in the tsunami generation. Therefore, inferring the source parameters of tsunamigenic earthquakes is crucial to understand the generation of the consequent tsunami and so to mitigate the risk along the coasts. The typical way to proceed when we want to gather information regarding the source process is to have recourse to the inversion of geophysical data that are available. Tsunami data, moreover, are useful to constrain the portion of the fault area that extends offshore, generally close to the trench that, on the contrary, other kinds of data are not able to constrain. In this thesis I have discussed the rupture process of some recent tsunamigenic events, as inferred by means of an inverse method. I have presented the 2003 Tokachi-Oki (Japan) earthquake (Mw 8.1). In this study the slip distribution on the fault has been inferred by inverting tsunami waveform, GPS, and bottom-pressure data. The joint inversion of tsunami and geodetic data has revealed a much better constrain for the slip distribution on the fault rather than the separate inversions of single datasets. Then we have studied the earthquake occurred on 2007 in southern Sumatra (Mw 8.4). By inverting several tsunami waveforms, both in the near and in the far field, we have determined the slip distribution and the mean rupture velocity along the causative fault. Since the largest patch of slip was concentrated on the deepest part of the fault, this is the likely reason for the small tsunami waves that followed the earthquake, pointing out how much the depth of the rupture plays a crucial role in controlling the tsunamigenesis. Finally, we have presented a new rupture model for the great 2004 Sumatra earthquake (Mw 9.2). We have performed the joint inversion of tsunami waveform, GPS and satellite altimetry data, to infer the slip distribution, the slip direction, and the rupture velocity on the fault. Furthermore, in this work we have presented a novel method to estimate, in a self-consistent way, the average rigidity of the source zone. The estimation of the source zone rigidity is important since it may play a significant role in the tsunami generation and, particularly for slow earthquakes, a low rigidity value is sometimes necessary to explain how a relatively low seismic moment earthquake may generate significant tsunamis; this latter point may be relevant for explaining the mechanics of the tsunami earthquakes, one of the open issues in present day seismology. The investigation of these tsunamigenic earthquakes has underlined the importance to use a joint inversion of different geophysical data to determine the rupture characteristics. The results shown here have important implications for the implementation of new tsunami warning systems – particularly in the near-field – the improvement of the current ones, and furthermore for the planning of the inundation maps for tsunami-hazard assessment along the coastal area.

No description available.

Curved mountain belts have always fascinated geologists and geophysicists because of their peculiar structural setting and geodynamic mechanisms of formation. The need of studying orogenic bends arises from the numerous questions to which geologists and geophysicists have tried to answer to during the last two decades, such as: what are the mechanisms governing orogenic bends formation? Why do they form? Do they develop in particular geological conditions? And if so, what are the most favorable conditions? What are their relationships with the deformational history of the belt? Why is the shape of arcuate orogens in many parts of the Earth so different? What are the factors controlling the shape of orogenic bends? Paleomagnetism demonstrated to be one of the most effective techniques in order to document the deformation of a curved belt through the determination of vertical axis rotations. In fact, the pattern of rotations within a curved belt can reveal the occurrence of a bending, and its timing. Nevertheless, paleomagnetic data alone are not sufficient to constrain the tectonic evolution of a curved belt. Usually, structural analysis integrates paleomagnetic data, in defining the kinematics of a belt through kinematic indicators on brittle fault planes (i.e., slickensides, mineral fibers growth, SC-structures). My research program has been focused on the study of curved mountain belts through paleomagnetism, in order to define their kinematics, timing, and mechanisms of formation. Structural analysis, performed only in some regions, supported and integrated paleomagnetic data. In particular, three arcuate orogenic systems have been investigated: the Western Alpine Arc (NW Italy), the Bolivian Orocline (Central Andes, NW Argentina), and the Patagonian Orocline (Tierra del Fuego, southern Argentina). The bending of the Western Alpine Arc has been investigated so far using different approaches, though few based on reliable paleomagnetic data. Results from our paleomagnetic study carried out in the Tertiary Piedmont Basin, located on top of Alpine nappes, indicate that the Western Alpine Arc is a primary bend that has been subsequently tightened by further ~50° during Aquitanian-Serravallian times (23-12 Ma). This mid-Miocene oroclinal bending, superimposing onto a pre-existing Eocene nonrotational arc, is the result of a composite geodynamic mechanism, where slab rollback, mantle flows, and rotating thrust emplacement are intimately linked. Relying on our paleomagnetic and structural evidence, the Bolivian Orocline can be considered as a progressive bend, whose formation has been driven by the along-strike gradient of crustal shortening. The documented clockwise rotations up to 45° are compatible with a secondary-bending type mechanism occurring after Eocene-Oligocene times (30-40 Ma), and their nature is probably related to the widespread shearing taking place between zones of differential shortening. Since ~15 Ma ago, the activity of N-S left-lateral strike-slip faults in the Eastern Cordillera at the border with the Altiplano-Puna plateau induced up to ~40° counterclockwise rotations along the fault zone, locally annulling the regional clockwise rotation. We proposed that mid-Miocene strike-slip activity developed in response of a compressive stress (related to body forces) at the plateau margins, caused by the progressive lateral (southward) growth of the Altiplano-Puna plateau, laterally spreading from the overthickened crustal region of the salient apex. The growth of plateaux by lateral spreading seems to be a mechanism common to other major plateaux in the Earth (i.e., Tibetan plateau). Results from the Patagonian Orocline represent the first reliable constraint to the timing of bending in the southern tip of South America. They indicate that the Patagonian Orocline did not undergo any significant rotation since early Eocene times (~50 Ma), implying that it may be considered either a primary bend, or an orocline formed during the late Cretaceous-early Eocene deformation phase. This result has important implications on the opening of the Drake Passage at ~32 Ma, since it is definitely not related to the formation of the Patagonian orocline, but the sole consequence of the Scotia plate spreading. Finally, relying on the results and implications from the study of the Western Alpine Arc, the Bolivian Orocline, and the Patagonian Orocline, general conclusions on curved mountain belt formation have been inferred.

In this work we study the relation between crustal heterogeneities and complexities in fault processes. The first kind of heterogeneity considered involves the concept of asperity. The presence of an asperity in the hypocentral region of the M = 6.5 earthquake of June 17-th, 2000 in the South Iceland Seismic Zone was invoked to explain the change of seismicity pattern before and after the mainshock: in particular, the spatial distribution of foreshock epicentres trends NW while the strike of the main fault is N 7◦ E and aftershocks trend accordingly; the foreshock depths were typically deeper than average aftershock depths. A model is devised which simulates the presence of an asperity in terms of a spherical inclusion, within a softer elastic medium in a transform domain with a deviatoric stress field imposed at remote distances (compressive NE − SW, tensile NW − SE). An isotropic compressive stress component is induced outside the asperity, in the direction of the compressive stress axis, and a tensile component in the direction of the tensile axis; as a consequence, fluid flow is inhibited in the compressive quadrants while it is favoured in tensile quadrants. Within the asperity the isotropic stress vanishes but the deviatoric stress increases substantially, without any significant change in the principal stress directions. Hydrofracture processes in the tensile quadrants and viscoelastic relaxation at depth may contribute to lower the effective rigidity of the medium surrounding the asperity. According to the present model, foreshocks may be interpreted as induced, close to the brittle-ductile transition, by high pressure fluids migrating upwards within the tensile quadrants; this process increases the deviatoric stress within the asperity which eventually fails, becoming the hypocenter of the mainshock, on the optimally oriented fault plane. In the second part of our work we study the complexities induced in fault processes by the layered structure of the crust. In the first model proposed we study the case in which fault bending takes place in a shallow layer. The problem can be addressed in terms of a deep vertical planar crack, interacting with a shallower inclined planar crack. An asymptotic study of the singular behaviour of the dislocation density at the interface reveals that the density distribution has an algebraic singularity at the interface of degree ω between -1 and 0, depending on the dip angle of the upper crack section and on the rigidity contrast between the two media. From the welded boundary condition at the interface between medium 1 and 2, a stress drop discontinuity condition is obtained which can be fulfilled if the stress drop in the upper medium is lower than required for a planar trough-going surface: as a corollary, a vertically dipping strike-slip fault at depth may cross the interface with a sedimentary layer, provided that the shallower section is suitably inclined (fault "refraction"); this results has important implications for our understanding of the complexity of the fault system in the SISZ; in particular, we may understand the observed offset of secondary surface fractures with respect to the strike direction of the seismic fault. The results of this model also suggest that further fractures can develop in the opposite quadrant and so a second model describing fault branching in the upper layer is proposed. As the previous model, this model can be applied only when the stress drop in the shallow layer is lower than the value prescribed for a vertical planar crack surface. Alternative solutions must be considered if the stress drop in the upper layer is higher than in the other layer, which may be the case when anelastic processes relax deviatoric stress in layer 2. In such a case one through-going crack cannot fulfil the welded boundary conditions and unwelding of the interface may take place. We have solved this problem within the theory of fracture mechanics, employing the boundary element method. The fault terminates against the interface in a T-shaped configuration, whose segments interact among each other: the lateral extent of the unwelded surface can be computed in terms of the main fault parameters and the stress field resulting in the shallower layer can be modelled. A wide stripe of high and nearly uniform shear stress develops above the unwelded surface, whose width is controlled by the lateral extension of unwelding. Secondary shear fractures may then open within this stripe, according to the Coulomb failure criterion, and the depth of open fractures opening in mixed mode may be computed and compared with the well studied fault complexities observed in the field. In absence of the T-shaped decollement structure, stress concentration above the seismic fault would be difficult to reconcile with observations, being much higher and narrower.