Hui and Chen (1986) were the first to show that the well-known Koiter’s General Theory of Elastic Stability of 1945 can be significantly improved by evaluating the postbuckling b coefficient at the actual applied load, rather than at the classical buckling load. Such improvement method was demonstrated to be (1) very simple to apply with no tedious algebra, (2) significant reduction in imperfection sensitivity and (3) although it is still asymptotically valid, there exists a significant extension of the range of validity involving larger imperfection amplitudes. Strictly speaking, Koiter’s theory of 1945 is valid only for vanishingly small imperfection amplitudes. Hence such improved method is termed Hui’s Postbuckling method. This study deals with the postbuckling and imperfection sensitivity of different kinds of cylinders, using the Hui’s postbuckling method. For unstiffened cylinder and laminate cylinder the results are compared with ABAQUS simulation results, and a parameter variation of stringer/ring stiffened cylinder is also evaluated. A significant positive shift of the postbuckling b coefficient is found which indicates that Koiter's general stability theory of 1945 has significantly overestimated the imperfection sensitivity of the structure. Also, compared with the Koiter's general stability theory, the valid region is significantly increased by using Hui's postbuckling method.

A aplicação de conceitos de estabilidade surge espontaneamente em estruturas metálicas e, mais destacadamente, nas estruturas de silos e de reservatórios. A parede cilíndrica que compõe o corpo desse tipo de estrutura é formada de chapasmetálicas delgadas, característica que surge da grande eficiência da forma cilíndrica. Neste trabalho, procura-se dispor ao engenheiro conceitos claros e distintos do comportamento e dos fenômenos de perda de estabilidade do equilíbrio dereservatórios e de silos metálicos. São expostas as teorias para a análise de silos para materiais granulares e pulverulentos não-coesivos e reservatórios para líquidos que não produzem gases. Mostra-se que a ação do material ensilado provocaesforços de compressão que possibilitam a ocorrência de fenômenos de perda da estabilidade da estrutura, conhecidos como flambagem no jargão técnico. Também a ação do vento pode ocasionar perda de estabilidade na estrutura vazia. Apresenta-se umresumo das teorias envolvidas, um ensaio numérico de modelos cilíndricos, um exemplo de silo de grãos, e uma compilação das normas e artigos mais atuais e abrangentes do problema de estabilidade em estruturas cilíndricas. Por fim, são estabelecidas as configurações estruturais que apresentam maiores riscos para a flambagem, e fornecidas as relações de diâmetro/espessura e de diâmetro/altura em que é possível se evitar os problemas advindos da perda da estabilidade do equilíbrio. / The application of the stability concepts appears spontaneously on steel structures and, more distinctly, on silos and tanks structures. The cylindrical wall that makes the body of this kind of structure is constituted of thin steel plates, characteristic that comes out of the great efficiency of the cylindrical shape. In this work, it is intended for the engineer clear and distinct notions about the behaviour and the loss of stability equilibrium phenomena of steel silos and tanks. The theories for the analysis of silos for non-cohesive, pulverulent and grain materials, and of tanks to liquids that produces no gases, are exposed. It is shown that the action of the bulk stored material causes compression that makes possible the occurrence of the phenomena of loss of the stability of the structure, commonly known in the technician jargon as buckling. Also the wind load can lead to the loss of stability of the empty structure. A summary is shown for of the involved theories, a numerical experiment with cylindrical models, an example of grain silo, and a compilation of the recommendations, norms and articles on the problem of the cylindrical structures stability. At least, it is established the structural configurations that poses major risks to buckling, and it is supplied relations of diametre/thickness and of diameter/height with whom it is possible to avoid the problems that come from the loss of the stability of equilibrium.

Excitation of the low frequency vibrational modes of a submerged vessel can generate significant radiated noise levels. Vibrational modes of a submarine hull are excited from the transmission of fluctuating forces through the shaft and thrust bearings due to the propeller rotating in an unsteady fluid. The focus of this work is to investigate the structural and acoustic responses of a submarine hull under axial excitation. The submarine hull is modelled as a cylindrical shell with internal bulkheads and ring stiffeners. The cylindrical shell is closed by truncated conical shells, which in turn are closed at each end using circular plates. The entire structure is submerged in a heavy fluid medium. The structural responses of the submerged vessel are calculated by solving the cylindrical shell equations of motion using a wave approach and the conical shell equations with a power series solution. The displacement normal to the surface of the structure in contact with the fluid medium was calculated by assembling the boundary/continuity matrix. The far field radiated sound pressure was then calculated by means of the Helmholtz integral. Results from the analytical model are compared with computational results from a fully coupled finite element/boundary element model. The individual and combined effects of the various influencing factors, corresponding to the ring stiffeners, bulkheads, conical end closures and fluid loading, on the structural and acoustic responses are characterised by examining the contribution by the circumferential modes. It is shown that equally spaced internal bulkheads generate a periodic structure thus creating a grouping effect for the higher circumferential modes, but do not have strong influence on the sound radiation. Stiffeners are found to have an important effect on both the dynamic and acoustic responses of the hull. The contribution of the conical end closures on the radiated sound pressure for the lowest circumferential mode numbers is also clearly observed. This work shows the importance of the bending modes when evaluating the sound pressure radiated by a submarine under harmonic excitation from the propulsion system.

Excitation of the low frequency vibrational modes of a submerged vessel can generate significant radiated noise levels. Vibrational modes of a submarine hull are excited from the transmission of fluctuating forces through the shaft and thrust bearings due to the propeller rotating in an unsteady fluid. The focus of this work is to investigate the structural and acoustic responses of a submarine hull under axial excitation. The submarine hull is modelled as a cylindrical shell with internal bulkheads and ring stiffeners. The cylindrical shell is closed by truncated conical shells, which in turn are closed at each end using circular plates. The entire structure is submerged in a heavy fluid medium. The structural responses of the submerged vessel are calculated by solving the cylindrical shell equations of motion using a wave approach and the conical shell equations with a power series solution. The displacement normal to the surface of the structure in contact with the fluid medium was calculated by assembling the boundary/continuity matrix. The far field radiated sound pressure was then calculated by means of the Helmholtz integral. Results from the analytical model are compared with computational results from a fully coupled finite element/boundary element model. The individual and combined effects of the various influencing factors, corresponding to the ring stiffeners, bulkheads, conical end closures and fluid loading, on the structural and acoustic responses are characterised by examining the contribution by the circumferential modes. It is shown that equally spaced internal bulkheads generate a periodic structure thus creating a grouping effect for the higher circumferential modes, but do not have strong influence on the sound radiation. Stiffeners are found to have an important effect on both the dynamic and acoustic responses of the hull. The contribution of the conical end closures on the radiated sound pressure for the lowest circumferential mode numbers is also clearly observed. This work shows the importance of the bending modes when evaluating the sound pressure radiated by a submarine under harmonic excitation from the propulsion system.

A aplicação de conceitos de estabilidade surge espontaneamente em estruturas metálicas e, mais destacadamente, nas estruturas de silos e de reservatórios. A parede cilíndrica que compõe o corpo desse tipo de estrutura é formada de chapasmetálicas delgadas, característica que surge da grande eficiência da forma cilíndrica. Neste trabalho, procura-se dispor ao engenheiro conceitos claros e distintos do comportamento e dos fenômenos de perda de estabilidade do equilíbrio dereservatórios e de silos metálicos. São expostas as teorias para a análise de silos para materiais granulares e pulverulentos não-coesivos e reservatórios para líquidos que não produzem gases. Mostra-se que a ação do material ensilado provocaesforços de compressão que possibilitam a ocorrência de fenômenos de perda da estabilidade da estrutura, conhecidos como flambagem no jargão técnico. Também a ação do vento pode ocasionar perda de estabilidade na estrutura vazia. Apresenta-se umresumo das teorias envolvidas, um ensaio numérico de modelos cilíndricos, um exemplo de silo de grãos, e uma compilação das normas e artigos mais atuais e abrangentes do problema de estabilidade em estruturas cilíndricas. Por fim, são estabelecidas as configurações estruturais que apresentam maiores riscos para a flambagem, e fornecidas as relações de diâmetro/espessura e de diâmetro/altura em que é possível se evitar os problemas advindos da perda da estabilidade do equilíbrio. / The application of the stability concepts appears spontaneously on steel structures and, more distinctly, on silos and tanks structures. The cylindrical wall that makes the body of this kind of structure is constituted of thin steel plates, characteristic that comes out of the great efficiency of the cylindrical shape. In this work, it is intended for the engineer clear and distinct notions about the behaviour and the loss of stability equilibrium phenomena of steel silos and tanks. The theories for the analysis of silos for non-cohesive, pulverulent and grain materials, and of tanks to liquids that produces no gases, are exposed. It is shown that the action of the bulk stored material causes compression that makes possible the occurrence of the phenomena of loss of the stability of the structure, commonly known in the technician jargon as buckling. Also the wind load can lead to the loss of stability of the empty structure. A summary is shown for of the involved theories, a numerical experiment with cylindrical models, an example of grain silo, and a compilation of the recommendations, norms and articles on the problem of the cylindrical structures stability. At least, it is established the structural configurations that poses major risks to buckling, and it is supplied relations of diametre/thickness and of diameter/height with whom it is possible to avoid the problems that come from the loss of the stability of equilibrium.

A deterministic approach based on a modal expansion and modal receptance method has been developed to evaluate the airborne sound insulation of aircraft panels with stringer and ring frame attachments. Furthermore, this method was extended to predict the noise radiation of stiffening panel subjected to TBL excitation. This approach integrates with the fast and accurate methods in evaluating the modal excitation terms and modal radiation efficiency. Based on these advantages, the effects of the curvature, overpressure, stringers, ring frames, hydrodynamic coincidence, composite structures and structural dissipation on the acoustical properties of a typical aircraft panel are able to be investigated efficiently. Theoretic predictions were compared with laboratory measurements conducted on both model structures and aircraft panels. It was found that a small curvature may result in significant deterioration of the sound transmission loss at frequencies of interest. Unlike a flat uniform panel, the theoretical prediction for curved panels from the infinite model can not provide good agreement with the measurement close to and well below the ring frequency. However, in this frequency range, the finite model has been proved to be applicable For the large curved airplane panels studied here, it was found that the ring frames have little influence on sound transmission loss in the frequency range of interest. However the stringers may have considerable influence on sound transmission loss. The stringer improves this for a curved panel around the ring frequency, but it may result in a potential deterioration of the sound transmission loss above the ring frequency. In this study it is evident that the sound transmission loss of the composite skin attached with composite stringers is lower than that of the metallic panel attached with metallic stringers. At frequencies higher than the corresponding ring frequency of the curved panel, both experiment and theoretical prediction reveal that the overpressure at the concave side tends to reduce the sound transmission loss at the rate of about 0.5dB /10000 Pa. While at lower frequencies, say well below the ring frequency, the overpressure may increase or reduce sound transmission loss of a finite panel, depending on the shift of the resonant frequencies resulting from the overpressure. For TBL excitation, numerical investigation reveals that the panel with the ring frames behaves more like a sub-panel between two frames. Below 500Hz, the ring frames slightly enhance the sound radiation while dramatically increasing it around 1.3kHz. The TBL forcing field excites the same vibration lever for the panel with and without ring frame attachments, but the modes excited for the panel with ring frames radiate more sound. Unlike the ring frames, the stringers increase sound radiation below 1kHz. Above 1kHz, the sub-panels between two bays respond independently and the stringer effects is therefore not obvious. / <p>QC 20100908</p>

A rapid growth of installed wind power capacity is expectedin the next few years. However, the siting of wind turbines ona large scale raises concerns about their environmental impact,notably with respect to noise. To this end, variable speed windturbines offer a promising solution for applications in denselypopulated areas like the European countries, as this designwould enable an efficient utilisation of the masking effect dueto ambient noise. In rural and recreational areas where windturbines are sited, the ambient noise originates from theaction of wind on the vegetation and about the listener's ear(pseudo-noise). It shows a wind speed dependence similar tothat of the noise from a variable speed wind turbine and cantherefore mask the latter for a wide range of conditions.However, a problem inherent to the design of these machines istheir proclivity to pure tone generation, because of theenhanced difficulty of avoiding structural resonances in themechanical parts. Pure tones are deemed highly annoying and areseverely regulated by most noise policies. In relation to thisproblem, the vibration transmission of structure-borne sound tothe tower of the turbine is investigated, in particular whenthe tower is stiffened at its upper end. Furthermore, sincenoise annoyance due to wind turbine is mostly a masking issue,the wind-related sources of ambient noise are studied and theirmasking potentials assessed. With this aim, prediction modelsfor wind-induced vegetation noise and pseudo-noise have beendeveloped. Finally, closely related to the effect of masking,is the difficulty, regularly encountered by local authoritiesand wind farm developers, to measure noise immission from windturbines. A new measurement technique has thus been developedin the course of this work. Through improving thesignal-to-noise ratio between wind turbine noise and ambientnoise, the new technique yields more accurate measurementresults. Keywords: Masking, vibration transmission, diffraction,ambient noise, pseudo-noise, cylindrical shell, perturbationmethods, structural mobility, acoustic outdoor measurement. / QC 20100616

Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2017-10-10T12:05:06Z No. of bitstreams: 2 Dissertação - Mayco Velasco de Sousa - 2017.pdf: 3290530 bytes, checksum: 4c18bf0526fa79993f57248b3161a0c6 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-10-10T12:05:27Z (GMT) No. of bitstreams: 2 Dissertação - Mayco Velasco de Sousa - 2017.pdf: 3290530 bytes, checksum: 4c18bf0526fa79993f57248b3161a0c6 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2017-10-10T12:05:27Z (GMT). No. of bitstreams: 2 Dissertação - Mayco Velasco de Sousa - 2017.pdf: 3290530 bytes, checksum: 4c18bf0526fa79993f57248b3161a0c6 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2017-06-22 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / In this master’s thesis, the free and forced nonlinear vibrations of an simply supported isotropic cylindrical shell fluid-filled by an incompressible, inrotational and non-viscous fluid are analyzed. The internal fluid is described by a velocity potential and the effects of the fluid ́s free surface on the non-linear vibrations of the cylindrical shell are considered. The non-linear equations of motion are obtained by the Rayleigh-Ritz method, considering the deformation field and changes of curvature described by the nonlinear theories of Donnell and Sanders. The chosen displacement field of the cylindrical shell corresponds to a modal solution proposed by Gonçalves (1987) that were obtained by the perturbation method. A parametric study is carried out to analyze the free vibrations, using the Galerkin-Urabe method to obtain for each geometry a system of non-linear algebraic equations, being solved by the Newton-Raphson method and thus to obtaining a relation between the amplitude and frequency. The results for these analyses show that depending on the geometric conditions there is a great influence of the free surface consideration on the nonlinear dynamic behavior of the cylindrical shell. Finally, a study of the forced vibrations of cylindrical shells subjected to time-dependent lateral pressure is made applying the fourth-order Runge-Kutta method to solve the second-order differential equations in time in order to find the phase portraits and the time response of the cylindrical shell. The influence of the consideration of the free surface effect of the internal fluid on the forced response of the cylindrical shell is observed and it is possible to note that the consideration of the free surface causes the appearance of important peaks of resonance in the resonance curves of the cylindrical shell. / Nesta dissertação são analisadas as vibrações não lineares, livres e forçada, de uma casca cilíndrica isotrópica simplesmente apoiada e preenchida por um fluido irrotacional, incompressível e não viscoso, que pode ser descrito por um potencial de velocidade. Considera-se os efeitos da superfície livre deste fluido nas vibrações não lineares da casca cilíndrica. As equações de movimento não lineares foram obtidas pelo método de Rayleigh-Ritz e para descrever o campo de deformação e momento de curvatura foram adotadas as teorias não lineares de Donnell e Sanders. O campo de deslocamento da casca cilíndrica utilizado corresponde a uma solução modal propostapor Gonçalves (1987) que foram obtidas pelo método da perturbação. Realizou-se um estudo paramétrico para analisar as vibrações livres onde para cada geometria estudada foi aplicado o método de Galerkin-Urabe para obter um sistema de equações algébricas não lineares, sendo então resolvidas pelo método de Newton-Raphson e assim obtendo uma relação entre a amplitude e a frequência. Os resultados para estes estudos mostram que dependendo das condições geométricas há uma grande influência da consideração da superfície livre no comportamento dinâmico não linear da casca cilíndrica. Por fim, é feito um estudo das vibrações forçadas de cascas cilíndricas submetidas a uma pressão lateral dependente do tempo, onde por meio do método de Runge-Kutta de quarta ordem soluciona-se as equações ordinais diferenciais de segunda ordem no tempo afim de encontrar as curvas de ressonância, planos-fase e a resposta no tempo da casca cilíndrica que serão utilizadas para analisar a influência da consideração do efeito de superfície livre do fluido interno na resposta forçada da casca cilíndrica. Observa-se que a consideração da superfície livre provoca o aparecimento de importantes picos de ressonância nas curvas de ressonância da casca cilíndrica.

The first portion of this thesis assesses the structural application of a bracing design inspired by the deep-sea sponge, Euplectella Aspergillum. Many studies have investigated the natural strength found in the unique skeletal structure of this species. The braced design inspired by the sponge features square frames with two sets of cross-braces that are offset from the corners of each frame, creating a pattern of open and closed cells. This study reports the results of multiple Finite Element Analysis (FEA) computations that compare the described bracing pattern to a more common bracing design used in structural design. The designs are compared in two configurations; the first is a simplified tall building design, and the second is a slender plate design. Results indicate that the sponge’s natural pattern produces considerable mechanical benefit when only considering elastic behavior. However, the same was not true when considering plastic material properties. In conclusion to these observations, the sponge-inspired lattice design is determined to be an efficient alternative to slender-solid plates but not for lateral-resisting systems intended for tall building design. The second topic of discussion in this thesis concerns the stability of thin cylindrical shells with imperfections. The structural stability of these members is highly sensitive to the size and shape of an imperfection. An accurate prediction of the capacity of an imperfect cylindrical shell can be determined using non-destructive testing techniques. This method does require previous knowledge of the characteristics of the imperfection, which realistically is unknown. In the hope of creating a technique to find the location of an imperfection, this study analyzes the trends in the stability landscapes of the surrounding area of an imperfection. The imperfection of interest in this study has an amplitude equivalent to the thickness of the shell. Using FEA to simulate non-destructive probing tests, it is established that there is a distinct area surrounding the imperfection where the axial load and peak probe force curves show the influence of the imperfection. This area is referred to as the zone of influence and can be used to create an efficient process to locate an imperfection on a thin cylindrical shell.

La conception d’une coque de sous-marin est cruciale pour son opérabilité et la sécurité de l’équipage, mais également complexe. En effet, les ingénieurs doivent prendre en compte à la fois la légèreté, la discrétion acoustique et la résistance de la coque à la pression d’immersion et aux attaques extérieures. Les explosions sous-marines représentent une menace de premier ordre pour l’intégrité de la coque, dont le comportement doit être correctement analysé. Les travaux présentés dans cette thèse portent sur le développement d’une méthode simplifiée, basée sur des formulations analytiques, pour étudier la réponse mécanique d’un cylindre profondément immergé à une explosion sous-marine. Le but de cette méthode est de fournir aux ingénieurs une estimation rapide des dommages subis par la coque cylindrique, leur permettant de simuler un grand nombre de scénarios d’explosion. Dans ce travail de thèse, le modèle de la corde plastique sur fondation plastique est repris et adapté à l’étude d’un cylindre immergé soumis à un chargement explosif, pour lequel les effets de pression d’immersion et d’interaction fluide-structure sont à prendre en compte. Une modélisation simplifiée de l’interaction fluide-structure est couplée avec le modèle de corde plastique sur fondation plastique, en considérant d’une part les effets de la pression d’immersion et d’autre part le raidissage circonférentiel du cylindre. Des expressions analytiques sont développées pour calculer l’enfoncement de la coque ainsi que son énergie de déformation plastique. Les résultats obtenus sont comparés à des résultats d’essais et de simulations numériques, ce qui permet de valider progressivement la méthode simplifiée, mais aussi de mettre en évidence ses limitations. / The design of a hull of submarine is crucial for its operability and the safety of the crew, but also complex. Indeed, the engineers have to take into account at the same time lightness, acoustic discretion and resistance of the hull to immersion pressure and to environmental attacks. Underwater explosions represent a first-rate threat to the integrity of the hull, whose behavior needs to be properly analyzed. The works presented in this thesis concern the development of a simplified method, based on analytical formulations, to study the mechanical behavior of a cylinder deeply immersed subjected to an underwater explosion. The purpose of this method is to give engineers a fast estimation of the damage undergone by the cylindrical shell, allowing them to compute a large number of scenarios of explosion.In the scope of this thesis, the model of the plastic string on plastic foundation is picked up and adapted to the study of an immersed cylinder subjected to an explosive load, for which the effects of immersion pressure and fluid-structure interaction are to be taken into account. This simplified model of the fluid structure interaction is coupled with the model of a plastic string resting on plastic foundation, by considering on one hand the effects of the immersion pressure and on the other hand the circumferential stiffening of the cylinder. Analytical expressions are derived in order to calculate the final deflection of the shell as well as its energy of plastic deformation. The obtained results are compared with results obtained with numerical simulations, which allows to validate gradually the simplified method, but also to highlight its limitations.