As análises estruturais têm como procedimento usual considerar apoios rígidos nas fundações e aplicar as ações de maneira instantânea. Essas duas simplificações podem induzir a uma configuração de esforços não condizentes com a estrutura real. Este trabalho investiga a interação solo-estrutura (ISE) em edifícios de paredes de concreto apoiados em fundação do tipo radier. O presente estudo considera a sequência construtiva da edificação, denominada por ações evolutivas, objetivando obter resultados mais condizentes com a estrutura real. A investigação é realizada mediante simulação numérica utilizando o Método dos Elementos Finitos (MEF) por meio do pacote computacional DIANA®. A tipologia do modelo numérico é baseada em um conjunto de edifícios já construídos. São utilizados dados de monitoramento de recalques geotécnicos ao longo da construção dos edifícios para aferir as propriedades constitutivas do solo no modelo numérico. São analisados os efeitos da deformação da fundação na redistribuição de esforços e tensões das paredes da superestrutura, a contribuição da rigidez da estrutura na uniformização dos recalques e demais parâmetros que envolvem a ISE na estrutura e na fundação. A NBR-16055 (ABNT, 2012) obriga que seja incorporado a interação solo-estrutura nas análises de edifícios de paredes de concreto acima de 5 pavimentos. O presente estudo indica que os efeitos da ISE na estrutura têm uma maior dependência da rigidez relativa estrutura-solo. Deste modo, é proposto um coeficiente específico de rigidez relativa estrutura-solo para edifícios de paredes de concreto. São realizados estudos paramétricos que indicam que o coeficiente proposto pode ser utilizado como um parâmetro para análise da ISE em edifícios de paredes de concreto. / The usual procedure in structural analysis neglects the deformation of the foundations and the load sequence of the building. These simplifications can provide inaccurate results. This work deals with the structural analysis of concrete wall buildings settled on raft foundations taking into account the soil-structure interaction (SSI) and the progressive vertical loading. The numerical simulation was performed using the finite element method (FEM) in the DIANA® software. The numerical model is based on a set of buildings already constructed. During the construction process, the settlement of many points were measured and are used here to evaluate the constitutive soil parameters to feed the numerical models. The obtained results show a redistribution of the walls internal forces and the loss of uniformity of their vertical normal stress. The progressive vertical loading during the construction reduces the influences of the soil-structure interaction. The Brazilian code for concrete wall buildings (NBR-16055, 2012) requires that the soil/structure interaction be incorporated into the structural model in the buildings with more than 5 stories. A specific relative stiffness structural-soil factor is proposed for concrete wall buildings. The present study indicates that the SSI results are not related to the number of floors of the building. The SII have a larger dependence on soil stiffness and relative stiffness structure-soil.

A combinação do Método dos Elementos de Contorno e do Método dos Elementos Finitos é o procedimento usualmente empregado na análise da flexão de placas interagindo com o solo. Usando-se da associação de ambos os métodos pode-se tirar vantagens de cada um deles e, consequentemente, chegar a uma técnica melhorada para tratar com problemas práticos. Contudo, a formulação do MEF não representa bem as tensões e os esforços concentrados ao longo do contorno, que podem ocorrer devido à maior rigidez da placa quando comparada com o meio solo, como a formulação do MEC faz. Por isso, a flexão de placas sobre base elástica é aqui proposta utilizando-se apenas das formulações do MEC, ou seja, tanto os problemas tridimensionais quanto os problemas de placas são tratados pela formulação de contorno para casos elastostáticos e elastodinâmicos. Duas diferentes formas de tratar problemas de flexão elastodinâmica de placas são discutidas, enfatizando possíveis instabilidades numéricas que as duas técnicas podem exibir. Finalmente, depois de propor a combinação dos problemas tridimensional e de placas, os resultados de exemplos numéricos apresentados mostram as vantagens e desvantagens da técnica proposta. / The combination of the boundary element and the finite element methods is the usually employed procedure to analyse plates in the bending interacting with the supporting soil. By using the association of both methods one can take the advantage of each method and consequently reach an improved technique to deal with practical problems. However, the FEM formulation can not represent well the stress and effort concentrations along the boundary, that may occur due to the higher plate stiffness when compared with the soil media, as the BEM technique does. Therefore, the plate bending on elastic foundation is proposed here using only BEM formulations, i.e. both the three-dimensional and the plate problems are formulated by boundary formulations for the elastostatic and elastodynamic cases. Two different ways to deal with the elastodynamic plate bending problem are discussed, emphasizing possible numerical instabilities that those techniques may exhibit. Finally, after proposing the combination of the three-dimensional and plate problems, results of numerical examples presented to show the advantages and disadvantages of the proposed technique.

Neste trabalho estuda-se a interação solo-estrutura de grupo de edifícios com fundações superficiais, em maciço de solos de argila mole. O comportamento ao longo do tempo da argila mole é analisado com o modelo reológico de Kelvin. Os parâmetros do modelo são determinados através do ajuste entre as curvas recalque – tempo do modelo e as curvas medidas em três prédios, construídos simultaneamente, na cidade de Santos/SP - Brasil. O estudo da interação solo–estrutura entre os edifícios do grupo e o maciço de solos utilizou a metodologia de CHAMECKI (1956), onde a superestrutura é modelada como pórtico espacial elástico linear e, o solo é modelado como meio elástico estratificado conforme AOKI e LOPES (1975). Estudos paramétricos demonstram a influência da rigidez da estrutura, do efeito de grupo entre as fundações superficiais, do processo construtivo e das construções vizinhas, na configuração final dos recalques / This work presents a methodology for the soil-estructure interaction analysis of a group of buildings on shallow foundations in soft clay soils. The long term behavior of clay is modeled by Kelvin’s rheological model. Model parameters is evaluated by back-analysis of measured settlement – time curves. The soil–estructure interaction is based on CHAMECKI (1956) model, where the superstructure is modeled is a spatial elastic linear frame and, the soil is modeled is an elastic linear stratified half space according to AOKI & LOPES (1975). Parametric studies shows the influence of the superstructure stiffness, the interaction among buildings foundations, and the effect construction steps in the final settlements configuration

Le comportement géomécanique des ouvrages géotechniques à l’exemple des rideaux de palplanches est entaché d’incertitudes épistémiques liées aux hypothèses régissant le modèle géomécanique de calcul, mais aussi d’incertitudes aléatoires liées à la variabilité spatiale du sol. L’objectif principal de cette thèse est de mieux appréhender l’effet de ces incertitudes sur le comportement d’un rideau de palplanches. Pour cela le présent mémoire s’articule autour de quatre points principaux : Le premier point est relatif d’une part à l’analyse des hypothèses utilisées pour la modélisation géomécanique d’un rideau de palplanches et d’autre part à l’extension de la méthode des coefficients de réaction d’un système unidimensionnel basé sur une poutre et des appuis élastoplastiques à un système bidimensionnel de plaque orthotrope sur le même type d’appuis (MISS-CR-PLQ). Le deuxième point concerne la modélisation de la variabilité spatiale du sol. Après une comparaison entre deux méthodes de génération de champs aléatoires nous avons retenu la méthode Circulant Embedding pour son efficience. Plusieurs études paramétriques ont été menées pour analyser les effets des hypothèses prises lors de la génération des champs aléatoires. Le troisième point concerne la mise en place d’une démarche mécano-fiabiliste permettant d’intégrer la variabilité spatiale du sol pour le cas des rideaux de palplanches. Le quatrième point est consacré à l’application de la démarche développée pour un cas d’étude à travers des analyses probabilistes et fiabilistes. L’influence des paramètres statistiques (e.g. les longueurs de corrélations, la corrélation croisée, …), mécanique et géométrique a été étudiée. / The geomechanical behaviour of geotechnical structures such as sheet pile walls is subjected to epistemic uncertainties due to geomechanical models’ assumptions and also the aleatory uncertainties which could be related to the soil spatial variability. The main objective of this thesis is to gain more insight into the effect of these uncertainties on the sheet pile behaviour. To this end, this thesis focuses on four main issues: The first one is related on the one hand to the analysis of the used geomechanical hypotheses for modelling of retaining walls. On the other hand, to extend the one-dimensional subgrade reaction method which is based on a beam relying on elastoplastic supports to a two-dimensional system that call to an orthotropic plate relying on the same supports (MISS-CR-PLQ). The second issue concerns the soil spatial variability modelling. After a key comparison between two random field generation methods, we selected the Circulating Embedding method for its efficiency. Several parametric studies have been conducted to analyse the effects of different assumptions of random field generation. The third issue is related to the implementation of the proposed mechanical-reliability approach taking into account the soil spatial variability. The last issue is devoted to the application of the developed approach to a case study through probabilistic and reliability analyses. The influence of statistical parameters (e.g. correlation lengths, cross-correlation,...), mechanical and geometrical has been examined.

Wind energy technologies are considered to be among the most promising types of renewable energy sources, which have since attracted broad considerations through recent years due to the soaring oil prices and the growing concerns over climate change and energy security. In Kuwait, rapid industrialisation, population growth and increasing water desalination are resulting in high energy demand growth, increasing the concern of oil diminishing as a main source of energy and the climate change caused by CO2 emissions from fossil fuel based energy. These demands and challenges compelled governments to embark on a diversification strategy to meet growing energy demand and support continued economic growth. Kuwait looked for alternative forms of energy by assessing potential renewable energy resources, including wind and sun. Kuwait is attempting to use and invest in renewable energy due to the fluctuating price of oil, diminishing reserves, the rapid increase in population, the high consumption of electricity and the environment protection. In this research, wind energy will be investigated as an attractive source of energy in Kuwait.

Esta dissertação apresenta em primeira etapa o trabalho desenvolvido para averiguar a adequação dos modelos reológicos de Mohr-Coulomb e de Endurecimento de solo, para representar as deformações e distorções que ocorrem no sistema soloestrutura, quando do processo de escavação de valas escoradas. Além disto, em uma segunda etapa fazem-se estimativas de previsão de danos causados em edificações, em decorrência das escavações de uma vala escorada da linha 1 do Metropolitano de São Paulo (Metrô S.P.). A primeira e a segunda etapa foram feitas através de 810 simulações numéricas, em elementos finitos utilizando-se o software PLAXIS, associadas a retroanálise por processo direto do módulo de deformabilidade a 50% da tensão de ruptura dos solos utilizando-se para isto o processo direto. Apresenta-se também uma síntese da formação e dos tipos de solos que constituem a bacia sedimentar de São Paulo, onde se localiza a seção experimental nº1 objeto de estudo desta dissertação. Faz-se uma breve revisão bibliográfica a respeito das técnicas de retroanálise. Apresentam-se critérios para escolha de intervalos de parâmetros geotécnicos que representem o sistema solo-estrutura no processo de escavação. Foram feitas análises paramétricas para determinar os parâmetros geotécnicos que mais influenciam o sistema solo-estrutura. Comparam-se os modelos constitutivos de Mohr-Coulomb e de endurecimento na previsão das deformações. Por fim, faz-se a previsão do nível de danos causados pelas escavações da vala, a um edifício hipotético / This dissertation presents, in a first part, the work done to verify how appropriate are the Mohr-Coulomb and hardening soil constitutive models to represent the strains and the distortions associated with escavations of braced wall process. In the second part, estimates are made of the damages in constructions due to the braced excavations of line one of Sao Paulo Subway (Metrô S.P.). In the two phases, 810 numeric simulations were made, in finite elements using the software PLAXIS, associated the back analysis for direct process. It is presented a synthesis of the formation and the types of soils that constitute the basin of the sediments of the city of São Paulo, where is located the section experimental nº1, object of study of this dissertation. It is presented an short bibliographical revision regarding the back analysis techniques. Criteria for choice of intervals of parameters geotechnical that represent the system soil-structure in the excavation process are presented. Parametric analyses are made to determine which the parameters have larger influence in the behavior of the system soil-structure. The behavior of the soil-structure system is simulated using the Mohr-Coulomb and hardening soil constitutive models. The Mohr-Coulomb and hardening soil constitutive models are compared in the forecast of the deformations. Finally, it is made the forecast of the level of damages to a hypothetical building caused by the braced excavations

A combinação do Método dos Elementos de Contorno e do Método dos Elementos Finitos é o procedimento usualmente empregado na análise da flexão de placas interagindo com o solo. Usando-se da associação de ambos os métodos pode-se tirar vantagens de cada um deles e, consequentemente, chegar a uma técnica melhorada para tratar com problemas práticos. Contudo, a formulação do MEF não representa bem as tensões e os esforços concentrados ao longo do contorno, que podem ocorrer devido à maior rigidez da placa quando comparada com o meio solo, como a formulação do MEC faz. Por isso, a flexão de placas sobre base elástica é aqui proposta utilizando-se apenas das formulações do MEC, ou seja, tanto os problemas tridimensionais quanto os problemas de placas são tratados pela formulação de contorno para casos elastostáticos e elastodinâmicos. Duas diferentes formas de tratar problemas de flexão elastodinâmica de placas são discutidas, enfatizando possíveis instabilidades numéricas que as duas técnicas podem exibir. Finalmente, depois de propor a combinação dos problemas tridimensional e de placas, os resultados de exemplos numéricos apresentados mostram as vantagens e desvantagens da técnica proposta. / The combination of the boundary element and the finite element methods is the usually employed procedure to analyse plates in the bending interacting with the supporting soil. By using the association of both methods one can take the advantage of each method and consequently reach an improved technique to deal with practical problems. However, the FEM formulation can not represent well the stress and effort concentrations along the boundary, that may occur due to the higher plate stiffness when compared with the soil media, as the BEM technique does. Therefore, the plate bending on elastic foundation is proposed here using only BEM formulations, i.e. both the three-dimensional and the plate problems are formulated by boundary formulations for the elastostatic and elastodynamic cases. Two different ways to deal with the elastodynamic plate bending problem are discussed, emphasizing possible numerical instabilities that those techniques may exhibit. Finally, after proposing the combination of the three-dimensional and plate problems, results of numerical examples presented to show the advantages and disadvantages of the proposed technique.

ABSTRACT EFFECT OF INITIAL SUPPORT OF EXCAVATION ON SEISMIC PERFORMANCE OF CUT AND COVER STRUCTURES Rezaei, Hamidreza M.Sc., Department of Civil Engineering Supervisor: Asst. Prof. Dr. Alp Caner MAY 2011, 66 pages The effect of the initial support and its embedment depth, on the seismic performance of cut and cover tunnels is investigated. Cut and cover construction is one of the fastest and cheapest methods for constructing rectangular shallow tunnels. Construction of cut and cover structure in soil usually starts with installation of the initial support of excavation system, which may consists of rigid type of initial supports such as tangent piles or secant piles. These systems usually remain in place after completion of the final structure. However, to simplify the design, it is a common practice to ignore the contribution of initial support. In this study the effect of initial support of excavation on the seismic performance of cut and cover tunnels is investigated by means of a detailed dynamic finite element analysis. Three different tunnel geometries, three soil types and three acceleration histories were considered Results of the study show that depending on the soil stiffness (soft, medium, or stiff soil), the dynamic response of the tunnel deformations are affected significantly by the initial support of excavation. The effect of the initial support diminishes as the quality of the soil improves. Therefore, dynamic analyses are recommended for the final design of this type of structures especially in soft soils.

Uncertainty involved in the safe and comfort design of the structures is a major concern of civil engineers. Traditionally, the uncertainty has been overcome by utilizing various and relatively large safety factors for loads and structural properties. As a result in conventional design of for example tall buildings, the designed structural elements have unnecessary dimensions that sometimes are more than double of the ones needed to resist normal loads. On the other hand the requirements for strength and safety and comfort can be conflicting. Consequently, an alternative approach for design of the structures may be of great interest in design of safe and comfort structures that also offers economical advantages. Recently, there has been growing interest among the researchers in the concept of structural control as an alternative or complementary approach to the existing approaches of structural design. A few buildings have been designed and built based on this concept. The concept is to utilize a device for applying a force (known as control force) to encounter the effects of disturbing forces like earthquake force. However, the concept still has not found its rightful place among the practical engineers and more research is needed on the subject. One of the main problems in structural control is to find a proper algorithm for determining the optimum control force that should be applied to the structure. The investigation reported in this thesis is concerned with the application of active control to civil engineering structures. From the literature on control theory. (Particularly literature on the control of civil engineering structures) problems faced in application of control theory were identified and classified into two categories: 1) problems common to control of all dynamical systems, and 2) problems which are specially important in control of civil engineering structures. It was concluded that while many control algorithms are suitable for control of dynamical systems, considering the special problems in controlling civil structures and considering the unique future of structural control, many otherwise useful control algorithms face practical problems in application to civil structures. Consequently a set of criteria were set for judging the suitability of the control algorithms for use in control of civil engineering structures. Various types of existing control algorithms were investigated and finally it was concluded that predictive optimal control algorithms possess good characteristics for purpose of control of civil engineering structures. Among predictive control algorithms, those that use ARMA stochastic models for predicting the ground acceleration are better fitted to the structural control environment because all the past measured excitation is used to estimate the trends of the excitation for making qualified guesses about its coming values. However, existing ARMA based predictive algorithms are devised specially for earthquake and require on-line measurement of the external disturbing load which is not possible for dynamic loads like wind or blast. So, the algorithms are not suitable for tall buildings that experience both earthquake and wind loads during their life. Consequently, it was decided to establish a new closed loop predictive optimal control based on ARMA models as the first phase of the study. In this phase it was initially established that ARMA models are capable of predicting response of a linear SDOF system to the earthquake excitation a few steps ahead. The results of the predictions encouraged a search for finding a new closed loop optimal predictive control algorithm for linear SDOF structures based on prediction of the response by ARMA models. The second part of phase I, was devoted to developing and testing the proposed algorithm The new developed algorithm is different from other ARMA based optimal controls since it uses ARMA models for prediction of the structure response while existing algorithms predict the input excitation. Modeling the structure response as an AR or ARMA stochastic process is an effective mean for prediction of the structure response while avoiding measurement of the input excitation. ARMA models used in the algorithm enables it to avoid or reduce the time delay effect by predicting the structure response a few steps ahead. Being a closed loop control, the algorithm is suitable for all structural control conditions and can be used in a single control mechanism for vibration control of tall buildings against wind, earthquake or other random dynamic loads. Consequently the standby time is less than that for existing ARMA based algorithms devised only for earthquakes. This makes the control mechanism more reliable. The proposed algorithm utilizes and combines two different mathematical models. First model is an ARMA model representing the environment and the structure as a single system subjected to the unknown random excitation and the second model is a linear SDOF system which represents the structure subjected to a known past history of the applied control force only. The principle of superposition is then used to combine the results of these two models to predict the total response of the structure as a function of the control force. By using the predicted responses, the minimization of the performance index with respect to the control force is carried out for finding the optimal control force. As phase II, the proposed predictive control algorithm was extended to structures that are more complicated than linear SDOF structures. Initially, the algorithm was extended to linear MDOF structures. Although, the development of the algorithm for MDOF structures was relatively straightforward, during testing of the algorithm, it was found that prediction of the response by ARMA models can not be done as was done for SDOF case. In the SDOF case each of the two components of the state vector (i.e. displacement and velocity) was treated separately as an ARMA stochastic process. However, applying the same approach to each component of the state vector of a MDOF structure did not yield satisfactory results in prediction of the response. Considering the whole state vector as a multi-variable ARMA stochastic vector process yielded the desired results in predicting the response a few steps ahead. In the second part of this phase, the algorithm was extended to non-linear MDOF structures. Since the algorithm had been developed based on the principle of superposition, it was not possible to directly extend the algorithm to non-linear systems. Instead, some generalized response was defined. Then credibility of the ARMA models in predicting the generalized response was verified. Based on this credibility, the algorithm was extended for non-linear MDOF structures. Also in phase II, the stability of a controlled MDOF structure was proved. Both internal and external stability of the system were described and verified. In phase III, some problems of special interest, i.e. soil-structure interaction and control time delay, were investigated and compensated for in the framework of the developed predictive optimal control. In first part of phase III soil-structure interaction was studied. The half-space solution of the SSI effect leads to a frequency dependent representation of the structure-footing system, which is not fit for control purpose. Consequently an equivalent frequency independent system was proposed and defined as a system whose frequency response is equal to the original structure -footing system in the mean squares sense. This equivalent frequency independent system then was used in the control algorithm. In the second part of this phase, an analytical approach was used to tackle the time delay phenomenon in the context of the predictive algorithm described in previous chapters. A generalized performance index was defined considering time delay. Minimization of the generalized performance index resulted into a modified version of the algorithm in which time delay is compensated explicitly. Unlike the time delay compensation technique used in the previous phases of this investigation, which restricts time delay to be an integer multiplier of the sampling period, the modified algorithm allows time delay to be any non-negative number. However, the two approaches produce the same results if time delay is an integer multiplier of the sampling period. For evaluating the proposed algorithm and comparing it with other algorithms, several numerical simulations were carried during the research by using MATLAB and its toolboxes. A few interesting results of these simulations are enumerated below: ARM A models are able to predict the response of both linear and non-linear structures to random inputs such as earthquakes. The proposed predictive optimal control based on ARMA models has produced better results in the context of reducing velocity, displacement, total energy and operational cost compared to classic optimal control. Proposed active control algorithm is very effective in increasing safety and comfort. Its performance is not affected much by errors in the estimation of system parameters (e.g. damping). The effect of soil-structure interaction on the response to control force is considerable. Ignoring SSI will cause a significant change in the magnitude of the frequency response and a shift in the frequencies of the maximum response (resonant frequencies). Compensating the time delay effect by the modified version of the proposed algorithm will improve the performance of the control system in achieving the control goal and reduction of the structural response.

Dynamic soil-structure interaction problems are characterized by an unbounded soil-domain and thus by radiation damping. This radiation damping arises due to wave propagation from the excited structure into the subsoil and may lead to a reduction of the structural response. A consistent description of this radiation damping has been carried out by means of different concepts. A widely used approach truncates the unbounded medium by a special kind of absorbing boundaries which are free of artificial reflection. The resulting finite domain can be treated as usually by finite elements. In this report, an alternative method to represent an unbounded medium in a dynamic analysis is presented. In principle, it is a conjunction of the boundary element method (BEM) in the frequency domain to reproduce the far-field and the finite element method (FEM) in the time domain to analyze the near-field. This alternative procedure avoids the introduction of any artificial boundaries. The procedure is based on a rational approximation of the dynamic stiffness of the unbounded domain in the frequency-domain. In this report, the dynamic stiffness of the unbounded domain is obtained from the BEM. The matrix-valued coefficients of the rational approximation function are determined by means of a least-square procedure. The time-domain representation is achieved by splitting the rational force-displacement relation into a series of linear functions in the frequency-domain corresponding with first order differential equations in the time-domain. This splitting process has been demonstrated as numerically effective and in addition, no Fourier transformation is necessary. In this thesis, dynamic soil-structure interaction problems with a relatively large number of degrees of freedom have been examined. These degrees of freedom arise from the discretization of the coupling interface, internal variables from the splitting procedure and from modeling the structure. The new method is especially suitable for systems with transient excitations as arising from rotating machines at startup and shutdown. The theoretical part of the thesis contains elements of system theory and discusses particularly stability problems arising from the rational approximation. The practical part presents a large amount of convergence studies and numerical results for layered soil and finally represents the propagation damping as a kind of damping ratio which is typically used in elementary structural dynamics. / In der Dynamik der Boden-Bauwerk-Interaktion wird der Boden in vielen Fällen durch ein unbegrenztes elastisches Medium beschrieben, wodurch das Phänomen der Abstrahldämpfung begründet wird. Diese Dämpfung entsteht durch Energietransfer von der erregten Struktur in den Boden durch Wellenausbreitung und reduziert somit die Strukturschwingungen. Um das infinite Bodengebiet dennoch durch finite Elemente beschreiben zu können, werden üblicherweise als Hilfsmaßnahme künstliche sogenannte absorbierende Ränder eingeführt. In dieser Arbeit wird eine alternative Methode zur Darstellung des unbegrenzten Mediums in der Dynamik vorgelegt. Im Prinzip handelt es sich um eine Kopplung der Rand-Element-Methode (REM) für den unendlichen Boden (das sogenannte Fernfeld) im Frequenzbereich und der Finite-Element-Methode (FEM) für das Nahfeld im Zeitbereich. Dieses alternative Verfahren vermeidet die Einführung künstlicher Ränder. Das Verfahren basiert auf einer rationalen Beschreibung der dynamischen Steifigkeit des Fernfeldes im Frequenzbereich. Diese Steifigkeit wird in der vorliegenden Arbeit durch die Rand-Element-Methode erzeugt. Die Matrix-wertigen Koeffizienten der rationalen Frequenzfunktion werden durch Minimierung des Fehlerquadrates berechnet. Die Transformation dieser Frequenzdarstellung in den Zeitbereich gelingt durch algebraische Überführung der rationalen Funktion in ein in der Frequenz lineares Hypersystem mit einer zugeordneten Zustandsgleichung erste Ordnung im Zeitbereich. Dieser Prozess hat sich als numerisch effektiv erwiesen und erfordert darüberhinaus keine Fourier-Transformation. Das entwickelte Vorgehen wird in dieser Arbeit an Problemen der dynamischen Boden-Bauwerk-Interaktion mit einer großen Anzahl von Freiheitsgraden erprobt. Diese Freiheitsgrade folgen aus der Diskretisierung in der Koppelfuge zwischen Boden und Struktur, der Diskretisierung der Struktur selbst und aus der Überführung in das Hypersystem mittels interner Variablen. Das neue Verfahren eignet sich insbesondere für Systeme mit transienter Erregung, wie sie beim An- und Auslaufen von Rotationsmaschinen ensteht. Der theoretische Teil der Arbeit wird geprägt durch Elemente der Systemtheorie und setzt sich zudem mit typischen Stabilitätsproblemen auseinander, die aus der rationalen Beschreibung entstehen. Der praktische Teil präsentiert Konvergenzstudien und numerische Ergebnisse für Boden-Bauwerk- Interaktionsprobleme mit geschichtetem Boden bei transienter Erregung mit Resonanzdurchlauf. Zudem gelingt eine Darstellung der Abstrahldämpfung in Form des Dämpfungsgrades D, wie er in der klassischen Strukturdynamik verwendet wird.