The analysis procedures employed in earthquake engineering can be classified as linear static, linear dynamic, nonlinear static and nonlinear dynamic. Linear procedures are usually referred to as force controlled and require less analysis time and less computational effort. On the other hand, nonlinear procedures are referred to as deformation controlled and they are more reliable in characterizing the seismic performance of buildings. However, there is still a great deal of unknowns for nonlinear procedures, especially in modelling the reinforced concrete structures. Turkey ranks high among all countries that have suffered losses of life and property due to earthquakes over many centuries. These casualties indicate that, most regions of the country are under seismic risk of strong ground motion. In addition to this phenomenon, recent studies have demonstrated that near fault ground motions are more destructive than far-fault ones on structures and these effects can not be captured effectively by recent nonlinear static procedures. The main objective of this study is developing a simple nonlinear dynamic analysis procedure which is named as &ldquo / Dynamic Pull Analysis&rdquo / for estimating the seismic response of multi degree of freedom (MDOF) systems. The method is tested on a six-story reinforced concrete frame and a twelve-story reinforced concrete frame that are designed according to the regulations of TS-500 (2000) and TEC (1997).

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In this study Monte Carlo solutions to the radiative transfer equations are used to model translational and rotational motion seismogram envelopes in random elastic media with deterministic background structure assuming multiple anisotropic scattering. The results of the Monte Carlo radiative transfer theory simulations are verified by comparisons with 3D full wave field finite difference simulations. The observation and modeling of the three additional components of rotational ground motions can provide independent information about seismic wave propagation in the Earth’s structure. Rotational motions around the vertical axis observed in the P-wave coda are of particular interest as they can only be excited by horizontally polarized shear waves and therefore indicate the conversion from P- to SH-energy by multiple scattering at 3D-heterogeneities. Scattering and attenuation parameters in south-east Germany beneath the Gräfenberg array and in the Vogtland region are estimated by comparisons of synthesized multi-component seismogram envelopes to seismic data from local and regional swarm earthquakes and to teleseismic events. In a first step, frequency dependent scattering and attenuation parameters from a local data set are estimated for the Vogtland region using nearby swarm earthquakes. The results from the elastic simulations are compared to outcomes from acoustic radiative transfer simulations. Both methods yield similar results and suggest that intrinsic attenuation dominates scattering attenuation. From the elastic simulations it is observable, that forward scattering is required to explain the data. However, the amount of forward scattering strength remains unresolvable. In a second step scattering and attenuation parameters beneath the Gräfenberg array are estimated using a nonlinear genetic inversion of seismogram envelopes from regional events at high frequencies (4–8 Hz). The preferred model of crustal heterogeneity consists of a random medium described by an exponential auto correlation function with a transport mean free path length of ∼ 420 km. The quality factor for elastic S-wave attenuation Q iS is around 700. In a final step simulations of teleseismic P-wave arrivals, using this estimated set of scattering and attenuation parameters, are compared to observed seismogram envelopes from deep events. Simulations of teleseismic events with the parameters found from the regional inversion show good agreement with the measured seismogram envelopes. This includes ringlaser observations of vertical rotations in the teleseismic P-wave coda that naturally result from the proposed model of wave scattering. The model also predicts, that the elastic energy recorded in the teleseismic P-coda is not equipartitioned, unlike the coda of regional events, but contains an excess of shear energy. The combined results from the three different data sets suggest that scattering generating the seismic coda mainly occurs in the crustal part of the lithosphere beneath the receivers. The observations do not require scattering of high frequency waves in the mantle, but weak scattering in the lithospheric mantle cannot be ruled out. / In dieser Studie werden Monte Carlo Lösungen für die Energietransfergleichungen genutzt, um Seismogrammeinhüllende von Translations- und Rotationsbewegungen zu modellieren. Die Ergebnisse der Monte Carlo Simulationen werden durch einen Vergleich mit 3D finiten Differenzen Simulationen verifiziert. Diese Modellierung findet in einem elastischen Zufallsmedium mit deterministischer Hintergrundstruktur unter Annahme multipler anisotroper Streuung statt. Die Beobachtung und Modellierung der drei zusätzlichen Komponenten der Rotationsbodenbewegungen kann unabhängige Informationen über die Ausbreitung seismischer Wellen im Erdkörper liefern. Rotationsbewegungen um die vertikale Achse in der P-Wellen Koda sind in diesem Zusammenhang von speziellem Interesse, da sie nur von horizontal polarisierten Scheerwellen angeregt werden können. Die gemessenen Rotationsbewegungen deuten folglich auf Konversionen von P- zu SH-Energie durch multiple Streuung an 3D-Heterogenitäten hin. Für die Bestimmung von Streu- und Dämpfungsparametern im Südosten Deutschlands (Gräfenberg Array, Vogtland) werden synthetisch erzeugte, mehrspurige Seismogrammeinhüllende mit Daten lokaler und regionaler Schwarmbeben und teleseismicher Ereignisse verglichen. In einem ersten Schritt werden frequenzabhängige Krustenparameter für die Vogtlandregion mittels eines lokalen Datensatzes von nahen Schwarmbeben bestimmt. Die Resultate mittels elastischer Energietransfertheorie werden mit Ergebnissen aus Simulationen mittels akustischer Energietransfertheorie verglichen. Beide Methoden liefern ähnliche Parameter und sagen einen größeren Einfluss der intrinsichen Dämpfung im Vergleich zur Streudämpfung voraus. Aus den elastischen Simulationen geht hervor, dass für die Beschreibung der Daten Vorwärtsstreung angenommen werden muss, die Stärke dieser lässt sich jedoch nicht auflösen. In einem zweiten Schritt werden die Streu- und Dämpfungseigenschaften der Erdkruste im Untergrund des Gräfenberg Arrays untersucht. Hierzu wird eine nicht-lineare genetische Inversion von Seismogrammeinhüllenden regionaler Ereignisse bei hohen Frequenzen (4–8 Hz) verwendet. Das bevorzugte Modell der Krustenheterogenität wird durch ein exponentielles Zufallsmedium, einer mittleren freien Transportweglänge von ca. 420 km und einem Qualitätsfaktor für S-Wellen Q iS von ca. 700 beschrieben. Ein letzter Schritt vergleicht Simulationen von teleseismischen P-Welleneinsätzen mit beobachteten Seismogrammeinüllenden von tiefen Erdbeben unter der Nutzung der Parameter aus der regionalen Inversion. Die Simulationen der teleseismischen Ereignisse mit den Parametern der regionalen Inversion zeigen eine gute Übereinstimmung mit den gemessenen Seismogrammeinhüllenden. Dieser Vergleich beinhaltet Ringlaserbeobachtungen der Rotationsbewegungen um die vertikale Achse, welche aus dem angenommenen Streumodell resultieren. Das Modell sagt voraus, dass die elastische Energie in der teleseismischen P-Wellen Koda im Gegensatz zur Koda lokaler oder regionaler Ereignisse nicht gleichverteilt ist, sondern einen Überschuss an Scheerenergie beinhaltet. Die Resultate aus den Untersuchungen der lokalen, regionalen und teleseismischen Datensätze zeigen, dass die Streuereignisse, welche die seismische Koda erklären, hauptsächlich in der Kruste unterhalb der seismischen Empfänger stattfinden. Streuung des Wellenfeldes im Mantel wird für die Erklärung der Daten nicht benötigt, schwache Streuung im lithosphärischen Mantel kann jedoch nicht ausgeschlossen werden.

The thesis outlines a hierarchical modelling methodology for investigation in vehicle dynamics, in particular for combined ride and handling manoeuvres. The methodology involves the use of detailed multi-degrees of freedom models of vehicles with the inclusion of sources of non-linearity, using a multi-body approach, based on Lagrangian dynamics for constrained systems. It also includes the use of simpler and task-specific models, formulated in Newton-Euler approach. These simpler models with lower degrees of freedom, but with appropriate level of detail are more efficient in the study of specific, but non-trivial problems such as transient behaviour of vehicles in combined ride and handling, as encountered in many routine daily manoeuvres. The modelling methodology is supported by careful vehicle testing, both for validation of the proposed approach, and assessment of the extent of applicability of simple, intermediate and multi-degrees of freedom full-vehicle models. Certain important vehicle handling and ride characteristics in pitch plane dynamics, roll behaviour, vehicle body bounce and combination of these have been studied, as well as the effectiveness of restraining action of chassis elements, such as the semileading and trailing arms for passive control of vehicle squat and dive motions, arising from acceleration from coast to drive and deceleration/brake of vehicle from drive to coast. Combined pitch and bounce motions have been studied when negotiating speed traps such as bumps, which also combine with significant body roll when single event obstacles of this kind are introduced. The novelty of the research is in the detailed integrative numerical-experimental approach, and the development of intermediate models that adequately predict vehicle behaviour under steady and non-steady conditions for a wide range of ride and handling manoeuvres. The investigations have culminated in a significant number of findings of practical use, particularly the ineffectiveness of anti-squat and dive features when combined pitch and bounce motions limit the usefulness of these devices. On the contrary, excessive roll dynamic behaviour of the vehicle is effectively palliated by the anti-roll bar, even under complex combined pitch, roll and body bounce such as those experienced in negotiating single event speed bumps. Good agreement is found between the predictions of the intermediate model and those of the multi-body model and the actual vehicle tests, particularly for pitch and bounce dynamics.

Temporal changes of seismic velocity and anisotropy in the shallow crust are quantified using local earthquakes recorded at a 200-m-deep borehole station CHY in Taiwan. This station is located directly above the hypocenter of the 10/22/1999, M6.4 Chia-Yi earthquake. Three-component seismograms recorded at this station show clear direct (up-going) and surface-reflected (down-going) P- and S-waves, and S-wave splitting signals. The two-way travel times in the top 200 m is obtained by measuring the time delays between the up-going and down-going waves in the auto-correlation function. The S-wave travel times measured in two horizontal components increase by ~1-2% at the time of Chia-Yi main shock, and followed by a logarithmic recovery, while the temporal changes of S-wave splitting and P-wave are less than 1% and are not statistically significant. We obtain similar results by grouping earthquakes into clusters according to their locations and waveform similarities. This suggests that the observed temporal changes are not very sensitive to the seismic ray path below CHY, but are mostly controlled by the variation of material property in the top 200 m of the crust. We propose that strong ground motions of the Chia-Yi main shock cause transient openings of fluid-filled microcracks and increases the porosity in the near-surface layers, followed by a relatively long healing process. Because we observe no clear changes in the shear wave anisotropy, we infer that the co-seismic damages do not have a preferred orientation. Our results also show a gradual increase of time delays for both the fast and slow S-waves in the previous 7 years before the Chia-Yi main shock. Such changes might be caused by variations of water table, sediment packing or other surficial processes.

京都大学 / 新制・課程博士 / 博士(工学) / 甲第23861号 / 工博第4948号 / 新制||工||1773(附属図書館) / 京都大学大学院工学研究科都市社会工学専攻 / (主査)教授 清野 純史, 教授 三村 衛, 准教授 古川 愛子 / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DGAM

A comprehensive study of the soil shaking under the seismic wave-field ex- citation is presented. It includes theoretical, geological, geotechnical, data analysis and numerical simulations aspects. The aim is to quantify the main parameters allowing the estimate of the soil shaking in urban areas for better mitigating seismic risk due to future earthquakes. The city of Rome has been chosen as a case study because of its high density of popula- tion and large concentration of historical monuments with high earthquake vulnerability. This study improves significantly the knowledge concerning the detailed near-surface geology of the chosen study area of Rome, ful- fills the absence both of knowledge concerning its geotechnical properties and earthquake data recordings in the city. Among others, it allows for a better explanation of the spatial damage pattern observed in the city due to earthquakes in the past. The main innovations include the construction and long-term operation a seismic array in the city, analysis of the natural seismic noise, and instrumental recordings of the 2009 L'Aquila earthquake sequence. The 3D array (including a borehole sensor at 70-m depth) is the first one in Italy planned, realized and operated within an urban area, and the first one that recorded a significant earthquake in...

This thesis deals with the study of two problems in the area of nonlinear dynamics using the method of multiple scales. Accordingly, it consists of two parts. In the first part of the thesis, we explore the asymptotic stability of a planar two-degree- of-freedom robot with two rotary (R) joints following a desired trajectory under feedback control. Although such robots have been extensively studied and there exists stability and other results for position control, there are no analytical results for asymptotic stability when the end of the robot or its joints are made to follow a time dependent trajectory. The nonlinear dynamics of a 2R planar robot, under a proportional plus derivative (PD) and a model based computed torque control, is studied. The method of multiple scales is applied to the two nonlinear second-order ordinary deferential equations which describes the dynamics of the feedback controlled 2R robot. Amplitude modulation equations, as a set of four first order equations, are derived. At a fixed point, the Routh-Hurwitz criterion is used to obtain positive values of proportional and derivative gains at which the controller is asymptotically stable or indeterminate. For the model based control, a parameter representing model mismatch is incorporated and again controller gains are obtained, for a chosen mismatch parameter value, where the controller results in asymptotic stability or is indeterminate. From numerical simulations with gain values in the indeterminate region, it is shown that for some values and ranges of the gains, the non- linear dynamical equations are chaotic and hence the 2R robot cannot follow the desired trajectory and be asymptotically stable. The second part of the thesis deals with the study of the nonlinear dynamics of a rotating flexible link, modeled as a one dimensional beam, undergoing large deformation and with geometric nonlinearities. The partial deferential equation of motion is discretized using a finite element approach to yield four nonlinear, non-autonomous and coupled ordinary deferential equations. The equations are non-dimensional zed using two characteristic velocities – the speed of sound in the material and a speed associated with the trans- verse bending vibration of the beam. The method of multiple scales is used to perform a detailed study of the system. A set of four autonomous equations of the first-order are derived considering primary resonance of the external excitation with one of the natural frequencies of the model and one-to-one internal resonance between two different natural frequencies of the model. Numerical simulations show that for certain ranges of values of these characteristic velocities, the slow flow equations can exhibit chaotic motions. The numerical simulations and the results are related to a rotating wind turbine blade and the approach can be used for the study of the nonlinear dynamics of a single link flexible manipulator. The second part of the thesis also deals with the synchronization of chaos in the equations of motion of the flexible beam. A nonlinear control scheme via active nonlinear control and Lyapunov stability theory is proposed to synchronize the chaotic system. The proposed controller ensures that the error between the controlled and the original system asymptotically go to zero. A numerical example using parameters of a rotating power generating wind turbine blade is used to illustrate the theoretical approach.

Mon travail de thèse a porté sur la compréhension «systèmes dynamiques de la dynamique à grande échelle dans l’écoulement pleinement développé de cisaillement turbulent. Dans le plan écoulement de Couette, simulation des grandes échelles (LES) est utilisée pour modéliser petits mouvements d’échelle et de ne résoudre mouvements à grande échelle afin de calculer non linéaire ondes progressives (SNT) et orbites périodiques relatives (RPO). Artificiel sur-amortissement a été utilisé pour étancher une gamme croissante de petite échelle motions et prouvent que les motions grande échelle sont auto-entretenue. Les solutions d’onde inférieure branche itinérantes qui se trouvent sur le bassin laminaire turbulent limite sont obtenues pour ces simulation sur-amortie et continue encore dans l’espace de paramètre à des solutions de branche supérieure. Cette approche ne aurait pas été possible si, comme supposé dans certains enquêtes précédentes, les mouvements à grande échelle dans le mur bornées flux de cisaillement sont forcée par un mécanisme fondé sur l’existence de structures actives à plus petite échelle. En flux Poseuille, orbites périodiques relatives à décalage réflexion symétrie sur la limite du bassin laminaire turbulent sont calculés en utilisant DNS. Nous montrons que le RPO trouvé sont connectés à la paire de voyager vague (TW) solution via bifurcation mondiale (noeud-col-période infinie bifurcation). La branche inférieure de cette solution TW évoluer dans un état de l’envergure localisée lorsque le domaine de l’envergure est augmentée. La solution de branche supérieure développe plusieurs stries avec un espacement de l’envergure compatible avec des mouvements à grande échelle en régime turbulent. / My thesis work focused on ‘dynamical systems’ understanding of the large-scale dynamics in fully developed turbulent shear flow. In plane Couette flow, large-eddy simulation (L.E.S) is used to model small scale motions and to only resolve large-scale motions in order to compute nonlinear traveling waves (NTW) and relative periodic orbits (RPO). Artificial over-damping has been used to quench an increasing range of small-scale motions and prove that the motions in large-scale are self-sustained. The lower-branch traveling wave solutions that lie on laminar-turbulent basin boundary are obtained for these over-damped simulation and further continued in parameter space to upper branch solutions. This approach would not have been possible if, as conjectured in some previous investigations, large-scale motions in wall bounded shear flows are forced by mechanism based on the existence of active structures at smaller scales. In Poseuille flow, relative periodic orbits with shift-reflection symmetry on the laminar-turbulent basin boundary are computed using DNS. We show that the found RPO are connected to the pair of traveling wave (TW) solution via global bifurcation (saddle-node-infinite period bifurcation). The lower branch of this TW solution evolve into a spanwise localized state when the spanwise domain is increased. The upper branch solution develops multiple streaks with spanwise spacing consistent with large-scale motions in turbulent regime.

The diploma thesis is devided into four chapters. The first chapter descibes children´s development psychology including a game that champions children´s movement and an attitude to sport and excercises in individual growing stages. Next chapter explains the biologic age, biologic acceleration and retardation of kids. I have explained those concepts and different views of the categorisation. The last chapter deals with the suitable activities for an individual and with what should be avoided.