Thesis (M.S.)--Ohio State University, 1970. / Includes bibliographical references (leaves 85-87). Available online via OhioLINK's ETD Center.

Thesis (Ph. D.)--University of Michigan. / Lithoprinted. Thesis note mounted on t.p.

Thesis (Ph. D.)--University of Michigan. / Lithoprinted. Thesis note mounted on t.p.

No description available.

No description available.

O objetivo deste trabalho foi realizar a dosimetria de filtros dinâmicos aprimorados (“Enhanced Dynamic Wedge" – EDW). Isso foi feito com dois intuitos: 1) a avaliação da implementação clínica do filtro dinâmico aprimorado considerando-se suas vantagens e desvantagens; e 2) a comparação entre a eficiência e a melhor aplicabilidade de três sistemas dosimétricos diferentes em conjunto com o filtro dinâmico aprimorado. Os sistemas dosimétricos utilizados foram: o Sistema de Imagem de Feixe (“Beam Image System" – BIS2G), da Scanditronix-Wellhöfer, uma câmara de ionização cilíndrica de 0,6 cm3 do tipo Farmer, e um arranjo linear de câmaras de ionização múltiplas (“Ionization Chamber Linear Detector Array") com 23 câmaras de ionização cilíndricas de 0,14 cm3, tipo Farmer. Com o Sistema de Imagem de Feixe – BIS2G foi possível obter curvas de fluência que permitiram analisar a simetria dos perfis de fluência, linearidade da dose, efeito da taxa de dose e efeito da gravidade, características diretamente ligadas à qualidade do funcionamento do filtro dinâmico aprimorado, além de ter sido possível também calcular o fator filtro para campos simétricos. Com a câmara de ionização mediu-se a porcentagem de dose em profundidade - PDP e calculou-se o fator filtro para campos simétricos e campos assimétricos (uma das vantagens do EDW). Com o arranjo linear de câmaras de ionização múltiplas foi possível obter curvas de isodose que permitiram a verificação da simetria e a comparação com os resultados obtidos com o BIS2G, além do cálculo do fator filtro para campos simétricos. O fator filtro calculado através de medidas tomadas com os três sistemas foi também comparado com resultados obtidos por dois formalismos, de Gibbons1 e de Klein et al 2, bem conhecidos da literatura e que serviram para a validação dos resultados e deste trabalho. Destas comparações verificou-se que os ângulos do filtro dinâmico aprimorado que apresentam maior diferença entre resultados obtidos e os formalismos foram os ângulos de 45º e de 60º em relação ao método de Klein et al que apresentaram diferenças de 2,1% em relação ao BIS2G, 1,9% em relação à câmara de ionização e 1,1% em relação ao arranjo linear de câmaras de ionização. / The purpose of this work was to accomplish the dosimetry of Enhanced Dynamic Wedge (EDW). It was carried out with two intents: 1) the evaluation of the clinical implementation of the EDW considering its advantages and disadvantages, and 2) the comparison among the efficiency and the better applicability of three different dosimetric systems in a set with the EDW. The dosimetric systems used were: the Beam Image System (BIS2G), from Scanditronix-Wellhöfer, a cylindrical ionization chamber of 0.6 cm3, type Farmer, and an ionization chamber linear detector array, composed by 23 cylindrical ionization chamber of 0.14 cm3, type Farmer. With the BIS2G was possible to plot graphs of fluence that allowed to analyze the symmetry of the graphs of fluence, linearity of the dose, dose rate effect, and gravity effect, features directly connected to the quality of the working of the EDW, further on having been possible to calculate the wedge factor for symmetric fields. With the ionization chamber it was measured the PDP and it was calculated the wedge factor for symmetric and asymmetric fields (one advantage of EDW). With the array it was possible to plot graphs of isodosis that allowed the checking of the symmetry and the comparison with the results obtained with the BIS2G, besides the calculation of the wedge factor for symmetric fields. The wedge factors obtained from the measurements of the three systems were also compared with the results of the formalisms, of Gibbons1 and of Klein et al 2, both well known if the literature, and that were used to validate the results and the work. From these comparisons was verified that the angles of the EDW that show more difference between the results and the formalisms were the 46º and 60º angles related to the method of Klein et al, which show differences of 2.12% related to BIS2G, 1.92% related to the ionization chamber, and 1.10% related to ionization chamber linear detector array.

O objetivo deste trabalho foi realizar a dosimetria de filtros dinâmicos aprimorados (“Enhanced Dynamic Wedge” – EDW). Isso foi feito com dois intuitos: 1) a avaliação da implementação clínica do filtro dinâmico aprimorado considerando-se suas vantagens e desvantagens; e 2) a comparação entre a eficiência e a melhor aplicabilidade de três sistemas dosimétricos diferentes em conjunto com o filtro dinâmico aprimorado. Os sistemas dosimétricos utilizados foram: o Sistema de Imagem de Feixe (“Beam Image System” – BIS2G), da Scanditronix-Wellhöfer, uma câmara de ionização cilíndrica de 0,6 cm3 do tipo Farmer, e um arranjo linear de câmaras de ionização múltiplas (“Ionization Chamber Linear Detector Array”) com 23 câmaras de ionização cilíndricas de 0,14 cm3, tipo Farmer. Com o Sistema de Imagem de Feixe – BIS2G foi possível obter curvas de fluência que permitiram analisar a simetria dos perfis de fluência, linearidade da dose, efeito da taxa de dose e efeito da gravidade, características diretamente ligadas à qualidade do funcionamento do filtro dinâmico aprimorado, além de ter sido possível também calcular o fator filtro para campos simétricos. Com a câmara de ionização mediu-se a porcentagem de dose em profundidade - PDP e calculou-se o fator filtro para campos simétricos e campos assimétricos (uma das vantagens do EDW). Com o arranjo linear de câmaras de ionização múltiplas foi possível obter curvas de isodose que permitiram a verificação da simetria e a comparação com os resultados obtidos com o BIS2G, além do cálculo do fator filtro para campos simétricos. O fator filtro calculado através de medidas tomadas com os três sistemas foi também comparado com resultados obtidos por dois formalismos, de Gibbons1 e de Klein et al 2, bem conhecidos da literatura e que serviram para a validação dos resultados e deste trabalho. Destas comparações verificou-se que os ângulos do filtro dinâmico aprimorado que apresentam maior diferença entre resultados obtidos e os formalismos foram os ângulos de 45º e de 60º em relação ao método de Klein et al que apresentaram diferenças de 2,1% em relação ao BIS2G, 1,9% em relação à câmara de ionização e 1,1% em relação ao arranjo linear de câmaras de ionização. / The purpose of this work was to accomplish the dosimetry of Enhanced Dynamic Wedge (EDW). It was carried out with two intents: 1) the evaluation of the clinical implementation of the EDW considering its advantages and disadvantages, and 2) the comparison among the efficiency and the better applicability of three different dosimetric systems in a set with the EDW. The dosimetric systems used were: the Beam Image System (BIS2G), from Scanditronix-Wellhöfer, a cylindrical ionization chamber of 0.6 cm3, type Farmer, and an ionization chamber linear detector array, composed by 23 cylindrical ionization chamber of 0.14 cm3, type Farmer. With the BIS2G was possible to plot graphs of fluence that allowed to analyze the symmetry of the graphs of fluence, linearity of the dose, dose rate effect, and gravity effect, features directly connected to the quality of the working of the EDW, further on having been possible to calculate the wedge factor for symmetric fields. With the ionization chamber it was measured the PDP and it was calculated the wedge factor for symmetric and asymmetric fields (one advantage of EDW). With the array it was possible to plot graphs of isodosis that allowed the checking of the symmetry and the comparison with the results obtained with the BIS2G, besides the calculation of the wedge factor for symmetric fields. The wedge factors obtained from the measurements of the three systems were also compared with the results of the formalisms, of Gibbons1 and of Klein et al 2, both well known if the literature, and that were used to validate the results and the work. From these comparisons was verified that the angles of the EDW that show more difference between the results and the formalisms were the 46º and 60º angles related to the method of Klein et al, which show differences of 2.12% related to BIS2G, 1.92% related to the ionization chamber, and 1.10% related to ionization chamber linear detector array.

Soient k un corps algébriquement clos et V une variété algébrique sur k. Dans le but d'étudier la géométrie du lieu singulier de V, John Nash a introduit l'espace d'arcs et les espaces de m-jets, m>0, dans une prépublication de 1968 qui a été publiée en 1995. Il a aussi défini une application, actuellement connue sous le nom d'application de Nash, qui associe à chaque famille d'arcs passant par le lieu singulier de V (composante de Nash) un diviseur essentiel sur V. Nash a démontré que cette application est injective. Le problème de Nash consiste à étudier la surjectivité de l'application de Nash. Dans plusieurs cas de variétés V, la bijectivité de cette application a été prouvée. Or, un exemple d'une singularité isolée d'hypersurface de l'espace affine de dimension 5 avec deux diviseurs essentiels et une composante de Nash a été donné dans un article de 2003. À l'heure actuelle, déterminer l'image de l'application de Nash reste un problème difficile, mêmes dans le cas de singularités bien connues. Dans cette thèse, on démontre la bijectivité de l'application de Nash pour certaines familles de singularités isolées d'hypersurfaces des espaces affines de dimension 3 et 4. / Be it that K is a closed algebraic field and V an algebraic variety on K. In the goal of studying the geometry of a singular space on V, John Nash introduced the space of arcs and the spaces of m-jets, m>0, in a 1968 preprint, published in 1995. He also defined an application, currently known as Nash's application, which associates an essential divisor on V to each arc family passing by V's singular space. Nash proved that this application is injective. The Nash problem consists of studying the surjectivity of the Nash application. In several cases of V varieties the bijectivity of this application has been proven. However an example of an isolated hypersurface singularity of affine space of dimension 5 with two essential divisors and one Nash component has been given in a 2003 article. Currently determining the image of the Nash application remains a difficult problem, even in the case of well known singularities. This thesis proves the bijectivity of the Nash application for certain families of isolated hypersurface singularities of the affine spaces of dimension 3 and 4.

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.

Soient k un corps algébriquement clos et V une variété algébrique sur k. Dans le but d'étudier la géométrie du lieu singulier de V, John Nash a introduit l'espace d'arcs et les espaces de m-jets, m>0, dans une prépublication de 1968 qui a été publiée en 1995. Il a aussi défini une application, actuellement connue sous le nom d'application de Nash, qui associe à chaque famille d'arcs passant par le lieu singulier de V (composante de Nash) un diviseur essentiel sur V. Nash a démontré que cette application est injective. Le problème de Nash consiste à étudier la surjectivité de l'application de Nash. Dans plusieurs cas de variétés V, la bijectivité de cette application a été prouvée. Or, un exemple d'une singularité isolée d'hypersurface de l'espace affine de dimension 5 avec deux diviseurs essentiels et une composante de Nash a été donné dans un article de 2003. À l'heure actuelle, déterminer l'image de l'application de Nash reste un problème difficile, mêmes dans le cas de singularités bien connues. Dans cette thèse, on démontre la bijectivité de l'application de Nash pour certaines familles de singularités isolées d'hypersurfaces des espaces affines de dimension 3 et 4.