Dissertations / Theses on the topic 'Radiation Damping'

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

Le radiation damping est un phenomene bien connu des spectroscopistes rmn. Afin de corriger ses effets negatifs nous avons developpe un systeme electronique de contre-reaction permettant son controle. La modelisation des equations de bloch modifiees avec radiation damping et contre-reaction ainsi que la conception et la realisation de l'electronique font l'objet d'une description detaillee. Des simulations ainsi que de multiples applications experimentales sur des spectrometres a haut champ demontrent de la particuliere efficacite du procede. L'extension du systeme - a l'augmentation de dynamique, a la reduction du temps experimental, a la mise au point de nouvelles sequences de suppression du solvant, a des basculements auto-calibres du solvant, entre autres exemples - ouvre des perspectives interessantes dans la methodologie rmn. A noter qu'une modelisation du phenomene d'amortissement par radiation basee sur un systeme a contre-reaction retardee, est proposee afin d'etablir une equation canonique significative. Enfin, dans le cadre de la suppression du radiation damping uniquement, nous avons developpe une sonde dont on modifie le facteur de qualite (qswitch a fibre optique). La technique d'acquisition de donnees rmn par excitation stochastique (stonmr) est revisitee dans cette these afin d'en analyser les limites et possibilites avec les moyens instrumentaux et informatiques modernes. L'etude et la realisation de l'electronique ainsi que les traitements informatiques necessaires a la mise en uvre de la stonmr sont concus afin d'offrir des outils experimentaux d'analyses puissants et performants. Une etude particuliere est proposee, sur la taille optimale des donnees permettant d'obtenir des spectres 1d de qualite egale

In the industry, all passenger vehicles are treated with damping materials to reduce structure-borne sound. Though these damping materials are effective to attenuate structure-borne sound, they have little or no effect on the air-borne sound transmission.The lack of effective predictive methods for assessing the acoustic effects due to added damping on complex industrial structures leads to excessive use of damping materials.Examples are found in the railway industry where sometimes the damping material applied per carriage is more than one ton. The objective of this thesis is to provide a better understanding of the application of these damping materials in particular when applied to lightweight sandwich panels.

As product development is carried out in a fast pace today, there is a strong need for validated prediction tools to assist in the design process. Sound transmission loss of sandwich plates with isotropic core materials can be accurately predicted by calculating the wave propagation in the structure. A modified wave propagation approach is used to predict the sound transmission loss of sandwich panels with honeycomb cores. The honeycomb panels are treated as being orthotropic and the wave numbers are calculated for the two principle directions. The orthotropic panel theory is used to predict the sound transmission loss of panels. Visco-elastic damping with a constraining layer is applied to these structures and the effect of these damping treatment on the sound transmission loss is studied. Measurements are performed to validate these predictions.

Sound radiated from vibrating structures is of great practical importance.The radiation loss factor represents damping associated with the radiation of sound as a result of the vibrating structure and can be a significant contribution for structures around the critical frequency and for composite structures that are very lightly damped. The influence of the radiation loss factor on the sound reduction index of such structures is also studied.

QC 20100519
ECO2-Multifunctional body Panels

This thesis describes the results of the experimental investigations into some new geometrical configurations in plate-like structures materialising one-dimensional (1D) acoustic black holes for flexural waves (wedges of power-law profile) and two-dimensional (2D) acoustic black holes for flexural waves (circular indentations of power-law profile). Such acoustic black holes allow the user to reduce the amplitudes of the vibration responses of plate-like structures to a maximum effect, while not increasing the mass of the structures. This thesis also suggests some new real world practical applications for this damping technique. Initially, the effects of geometrical and material imperfections on damping flexural vibrations in plates with attached wedges of power-law profile (1D black holes) were investigated, demonstrating that this method of damping is robust enough for practical applications. Then, damping of flexural vibrations in turbofan blades with trailing edges tapered according to a power-law profile has been investigated. In addition, experimental investigations into power-law profiled slots within plates have been also conducted. Another important configuration under investigation was that of circular indentations (pits) of power-law profile within the plate. In the case of quadratic or higher-order profiles, such indentations materialise 2D acoustic black holes for flexural waves. To increase the damping efficiency of power-law profiled indentations, the absorption area has been enlarged by increasing the size of the central hole in the pit, while keeping the edges sharp. The next step of investigation in this thesis was using multiple indentations of power-law profile (arrays of 2D black holes). It was shown that not only do multiple indentations of power-law profile provide substantial reduction in the damping of flexural vibrations, but also a substantial reduction in radiated sound power. The experimental results have been obtained also for a cylindrical plate incorporating a central hole of quadratic profile. They are compared to the results of numerical predictions, thus validating the results and the experimental technique. Investigations into the effects of indentations of power-law profile made in composite plates and panels and their subsequent inclusion into composite honeycomb sandwich panels are also reported. These indentations again act as 2D acoustic black holes for flexural waves and they effectively damp flexural vibrations within the panels. It was also demonstrated that these indentations can be enclosed in smooth surfaced panels and that no additional damping layer is required to induce the acoustic black hole effect in composite structures. In conclusion, it has been confirmed in this thesis that one and two-dimensional acoustic black holes represent an effective method of damping flexural vibrations and reducing the associated structure-borne sound. Furthermore, this thesis has shown that acoustic black holes can be efficiently employed in practical applications, such as trailing edges of jet engine fan blades, composite panels, and composite honeycomb sandwich structures.

Estudamos o amortecimento radiativo e o ruído de spins de um material magnético acoplado a um circuito ressonante. O amortecimento radiativo em ressonância magnética é um fenômeno de dissipação, na qual a magnetização preparada após um pulso de Rabi sofre um decaimento até seu estado de equilíbrio. O material magnético perde energia através do seu acoplamento com o circuito ressonante, que deve estar sintonizado na freqüência de Larmor dos spins do material. Apesar deste fenômeno ter sido estudado há vários anos, nenhuma descrição quântica completa lhe foi dada. Apresentamos um modelo hamiltoniano quântico que descreve o amortecimento radiativo. Para isto usamos o método de equações de Langevin quânticas. Mostramos que além do amortecimento radiativo do material magnético, se o circuito está em um estado inicial coerente, a magnetização adquire um movimento complicado não-trivial. Usando as mesmas equações de Langevin, estudamos a influência da amostra no ruído do circuito ressonante. Calculamos a densidade espectral da corrente no caso em que todo o sistema está em equilíbrio térmico. Pudemos verifcar a efcácia do método comparando-o com estudos anteriores. Além disso, estudamos as alterações do ruído do circuito quando uma tensão oscilante externa é aplicada. Nesta situação surgem dois outros picos laterais ao pico central do espectro de absorção da amostra magnética. Isso leva a três depressões no espectro da corrente do circuito. Este efeito deve-se à separação dupla dos estados de energia dos spins. Comentamos sobre a analogia deste fenômeno com a fluorescência ressonante observada na Óptica Quântica.
We study the radiation damping and the spin noise of a magnetic material coupled with a resonant circuit. Radiation damping in magnetic resonance is a dissipation phenomenon, where magnetization prepared after a Rabi pulse decays toward its equilibrium state. The magnetic sample loses its energy by the coupling with resonant circuit, that must be tuned in Larmor frequency of the sample spins. Even though this phenomenon had been studied many years ago, no full quantum description was done. We present a quantum Hamiltonian model, that explains the radiation damping. We use quantum Langevin equation method for this task. Beyond radiation damping, we show the magnetization acquires an unusual intrincate motion, if the circuit initial state is coherent. Using the same Langevin equation, we study the sample influence on the resonant circuit noise. We calculate the current spectral density in the case of thermal equilibrium of whole system. We can verify the method efectiveness, comparing former papers. Moreover we study modifcations in the circuit noise, if an external oscillating tension is applied. In this situation, other two peaks emerge in the central peak sidebands of the sample absorption spectrum. It leads to appear three dips in circuit current spectrum. This efect is due to the splitting of the spin energy states. We comment about the analogy between this phenomenon and the resonance fluorescence in Quantum Optics.

Fundação Carlos Chagas Filho de Amparo a Pesquisa do Estado do Rio de Janeiro
A análise de fundações sob solicitações dinâmicas é algo sempre presente em projetos na área industrial. É um campo pouco explorado na área de engenharia geotécnica, onde existem relativamente poucas informações no Brasil, de maneira geral. O método mais comum de realizar essas análises é a simplificação de modelos estruturais a partir do uso de molas. Sabe-se que esses coeficientes de reação têm uma variação relativamente grande e que esse enfoque de projeto pode, em alguns casos, mostrar-se contra a segurança ou levar a superdimensionamentos desnecessários. Verifica-se, então, a necessidade de uma avaliação mais criteriosa, utilizando a interação solo x estrutura, onde as molas comumente utilizadas nas análises vibratórias convencionais são substituídas pela rigidez real do solo quando concebido como um meio contínuo, através de sua discretização pelo método dos elementos finitos. A presente dissertação analisa o problema através do módulo de dinâmica do programa Plaxis 2D. Neste tipo de análise, além da modelagem do solo como um meio contínuo, torna-se possível introduzir condições de contorno específicas ao problema em estudo, múltiplas camadas de solo, sejam horizontais ou inclinadas, além da introdução de amortecedores capazes de evitar a reflexão espúria das ondas incidentes nos limites da malha de elementos finitos e assim modelar mais adequadamente a perda de energia por radiação. A presente dissertação compara medições experimentais e soluções eficientes de métodos vibratórios clássicos com a resposta obtida pelo MEF, mostrando resultados bastante satisfatórios tanto pelos métodos clássicos quanto pelo MEF.
The foundation analysis by dynamic solicitations is always present in industrial projects. It is an area which is poorly explored in geotechnical engineering and there are few information about this subject in Brazil, in general. The most common method to realize this analysis consists in simplifies structural models by using springs. It is known that these reaction coefficients have a large range of variation and this projects focus can, in some cases, be against the safety side or lead to unnecessary over designs. This proves the necessity to do a more criterious evaluation by using the interaction soil x structure where the springs usually used in common vibration analysis are replaced by the real stiffness of soil when designed as a continuous medium through its discretization by finite element method. This present dissertation analyzes the problem through the dynamic modulus of the software PLAXIS 2D. In this sort of analysis, besides the modeling of soil as a continuous medium, it becomes possible to introduce specific boundary conditions associated to the studied problem, multiple soil layer, that can be horizontals or inclined, in addition to the introduction of dampers able to avoid the spurious reflection of incident waves on the boundary of finite element mesh and then to model more efficiently the energy loss by radiation. This present dissertation compares experimental measurements and efficient solutions of classical vibration methods with the response obtained by FEM, showing results quite satisfactory both by classical methods and by FEM.

Dans le cadre de la lutte contre les nuisances sonores et vibratoires, cette thèse porte sur la modélisation numérique des structures amorties par dispositifs piézoélectriques shuntés. La première partie du travail concerne la modélisation par éléments finis de structures en vibrations avec des pastilles piézoélectriques shuntées. Dans un premier temps, une formulation éléments finis originale, qui utilise des variables électriques globales (différence de potentiel et charge dans chaque pastille piézoélectrique), est analysée et validée. Dans un second temps, différentes stratégies de réduction de modèle basées sur la méthode de projection modale sont proposées pour résoudre le problème électromécanique discrétisé par éléments finis à moindre coût. La convergence de ces modèles d’ordre réduits est ensuite analysée pour les cas de shunts résistif et résonant. La deuxième partie du travail est consacrée à l’optimisation du système électromécanique, dans le but de maximiser l’amortissement apporté par les dispositifs piézoélectriques shuntés. Pour cela, une procédure d’optimisation topologique, basée sur la méthode SIMP (Solid Isotropic Material with Penalization method), est développée pour déterminer les géométries et les emplacements optimaux des pastilles piézoélectriques. Cette procédure permet de maximiser le coefficient de couplage électromécanique modal entre les éléments piézoélectriques et la structure hôte, ceci de façon indépendante du choix des composants du circuit électrique. Les avantages de l’approche proposée sont mis en avant à travers un exemple de validation et un cas d'application industrielle. Enfin, la dernière partie du travail propose une approche numérique pour modéliser et optimiser la réduction du rayonnement acoustique de plaques minces dans le domaine des basses fréquences avec des éléments piézoélectriques shuntés. Cette approche est valable pour n’importe quelle plaque mince bafflée et non trouée, indépendamment des conditions aux limites. Un exemple d’application concernant l’atténuation du rayonnent acoustique d’une plaque avec renforts est présenté et analysé
Passive structural vibration and noise reduction by means of shunted piezoelectric patches is addressed in this thesis. The first part of the work concerns the finite element modeling of shunted piezoelectric systems. Firstly, an original finite element formulation, with only a couple of electric variables per piezoelectric patch (the global charge/ voltage), is analyzed and validated. Secondly, several reduced order models based on a normal mode expansion are proposed to solve the electromechanical problem. The convergence of these reduced order models is then analyzed for a resistive and a resonant shunt circuits. In the second part of the work, the concept of topology optimization, based on the Solid Isotropic Material with Penalization method (SIMP), is employed to optimize, in terms of damping efficiency, the geometry of piezoelectric patches as well as their placement on the host elastic structure. The proposed optimization procedure consists of distributing the piezoelectric material in such a way as to maximize the modal electromechanical coupling factor of the mechanical vibration mode to which the shunt is tuned, independently of the choice of electric circuit components. Numerical examples validate and demonstrate the potential of the proposed approach for the design of piezoelectric shunt devices. Finally, the last part of the work concerns the numerical modeling of noise and vibration reduction of thin structures in the low frequency range by using shunted piezoelectric elements. An efficient approach that can be applied to any thin continuous plates in an infinite baffle, independently of the boundary conditions, is proposed. An application example of a thin plate with reinforcements is presented and analyzed

Ce travail de thèse porte sur la conception, la réalisation et l'évaluation expérimentale d' un microsystème d'analyse dont l'originalité repose sur l'intégration d'une micro antenne planaire de spectroscopie par résonance magnétique nucléaire (SRMN) sur un système micro fluidique à base d'un polymère, le Cyclique Oléfine Copolymère (COC). La détermination des caractéristiques géométriques optimales du microsystème afin d'optimiser le couplage électromagnétique entre la micro antenne de détection et l'échantillon est effectuée à l'aide d'un modèle de calcul numérique, ce qui permet l'optimisation du rapport signal sur bruit (RSB). La réalisation du microsystème avec des procédés de micro fabrication développés au laboratoire ont permis de valides son fonctionnement dans un spectromètre dont le champ magnétique statique atteint 11.74 Tesla (fréquence de Larmor du proton égale à 500MHz). Travailler dans un champ aussi intense permet d'améliorer la sensibilité de détection mais nécessite de porter une attention particulière à l'homogénéité du champ magnétique qui, dans notre cas, peut être dégradée en raison de l'introduction du microsystème dans le spectromètre. En effet, les distorsions du champ magnétique, dues aux différentes susceptibilités magnétiques des matériaux constituant la microsonde, ont un impact direct sur la résolution spectrale. C'est pourquoi, une modélisation 3D par éléments finis est proposée afin de prévoir l'influence du microsystème sur la forme des raies spectrales et donc d'en déduire la résolution spectrale pouvant être espérée. La comparaison des résultats expérimentaux et ceux issus des simulations permet de valider le modèle de calcul numérique. Il apparait cependant nécessaire d'inclure le phénomène d'amortissement radiatif afin de pouvoir rendre compte des résultats expérimentaux relatifs à la résolution spectrale effectivement observée.

Nous évoquons, dans cette thèse, le comportement en temps et la stabilisation uniforme de différents systèmes de maxwell dissipatifs. Nous distinguons les amortissements frontières (avec la condition absorbante de Silver-Muller) et les systèmes dissipatifs internes (avec la loi d'ohm ou intervient la conductivité). On détermine la géométrie et, ou le support des amortissements qui permettront de faire décroitre exponentiellement vite l'énergie du champ électromagnétique. On met en évidence numériquement, par le biais de rayons gaussiens, le lien entre le support des amortissements, la fréquence de l'onde et la décroissance de l'énergie du système des ondes. Nous étudions, également, quelques problèmes de contrôle approché et de furtivité à basse fréquence, à l'extérieur de l'obstacle pour le problème de Helmholtz fréquentiel, ou on utilisera les inégalités de Hardy et de Carleman.

碩士
淡江大學
土木工程學系
84
In this study, dynamic response of a single pile subjected to axial and lateral loads are investigated solving difference formulas of the corresponding wave equations. A series of springs and dashpots are placed along the pile to model the resistance and energy dissipation of the soils. Time dependent transformed damping model obtained by conducting an inverse Fourier transform of the equivalent geometric damping ratio from the frequency-dependent dynamic impendance functions (Novak, 1972) and elastic stiffnesses of the soil springs, correlated from the a-method and p-y curves, are used to integrate the solutions in time domain. To model the pile behavior, parametric studies are conducted for both axially and laterally loaded piles with monotonic, impulsive and cyclic loads. It is found that the transformed geometric damping mechanism can simulate the softening behavior of the pile-soil system under the cyclic loading. The slendness ratio of pile and the impendance ratio of pile and soil may have significant effects on the pile behavior. The model parameters used in the transformed damping model will affect amplitude and attenuation of the pile displacement response. By treating the damping coefficient as a constant, a hardening hysteretic behavior of the load-displacement response curve may be achieved. This study successfully proposed a new solution for using wave equations on pile response under dynamic axial and lateral loads considering radiation damping with time domain concern.