Contribuição ao projeto de cabos umbilicais e tubos flexíveis: ferramentas de CAD e modelo de macro elementos.

Provasi, Rodrigo

doi:10.11606/t.3.2012.tde-29072013-120723

Cited by 2 publications

(2 citation statements)

References 3 publications

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“…An alternative to tubes in riser structures are the umbilical cables. Accordingly to Provasi (2013), umbilical cables are responsible for hydraulic and electrical controls, to pump fluids into the oil well and to transmit electrical energy and signals.…”

Section: Discussionmentioning

confidence: 99%

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Virtual element method applied to the linear elastic model.

Enabe¹

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To Professor Rodrigo, for all the teaching and advice provided in the last four years that we have been working together and for all the support in difficult times.To all my family and professors that were fundamental in this trajectory, providing me with all the support and resources necessary to have this work done.To my friends André, Andrés and Caio for all this years of friendship that were crucial in my trajectory.To Guilherme for all discussions, friendship and all work during the past years.To Professor Alfredo for all constructive critics and advice.To Marcelo for all his support and for providing me new opportunities in my career.i ResumoCom a evolução dos computadores e da complexidade dos problemas em engenharia, é natural que também ocorra o surgimento de novos métodos numéricos que se insiriam nessa realidade. O Método dos Elementos Virtuais (MEV) se propõe a generalizar o clássico Método dos Elementos Finitos (MEF), sendo mais permissivo ao que se diz respeito aos elementos de discretização na malha, abrangendo qualquer polígono convexo e não convexo. Utilizar quaisquer polígonos traz como consequência a utilização de funções de forma não polinomiais. Para tanto, o método busca computar tais funções de forma implícita, sem a necessidade de fórmulas de quadratura. O método foi originalmente aplicado a Equação de Poisson e, por se tratar de um método relativamente recente, a gama de aplicações voltadas para problemas reais de engenharia de estruturas ainda não é tão vasta quando comparada com, por exemplo, o Método dos Elementos Finitos ou o Método dos Elementos Finitos Generalizados. Assim existem muitos caminhos possíveis para serem explorados com o intuito de expandir o estado da arte referente ao MEV. Neste projeto, desenvolve-se uma metodologia para aplicação do Métodos dos Elementos Virtuais no modelo reológico elástico linear. E, consequentemente, realizam-se comparações com o clássico Método dos Elementos Finitos ao que se diz respeito a desempenho em geometrias complexas, levando em consideração as particularidades e características de cada método.Palavras-chave: método dos elementos virtuais, método dos elementos finitos, modelo elástico linear, equação de poisson iii

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Section: Discussionmentioning

confidence: 99%

“…Also, the demonstration of theorem 9 can be found in da Veiga et al Source: (Bai and Bai, 2019) It is important to know the different types of platform once its dynamics has direct influence on risers. Provasi (2013) and Gay Neto (2012) briefly explain the main types of platforms used in the offshore industry:…”

Section: Source: Authormentioning

confidence: 99%

Virtual element method applied to the linear elastic model.

Enabe¹

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Parallelized Element-By-Element Solver for Structural Analysis of Flexible Pipes Using Finite Macroelements

Toni

Martins

2022

Journal of Offshore Mechanics and Arctic Engineering

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Due to the number of layers and their respective geometrical complexities, finite element analyses of flexible pipes usually require large-scale schemes, with a high number of elements and degrees-of-freedom. If proper precautions are not taken, such as suitable algorithms and numerical methods, the computational costs of these analyses may become them unfeasible. Finite macroelements are finite elements formulated for the solution of a specific problem considering and taking advantage of its particularities, such as geometry patterns, to obtain computational advantages, as reduced number of degrees-of-freedom and ease of problem description. The element-by-element method (EBE) also fits very well in this context, since it is characterized by the elimination of the global stiffness matrix and its memory consumption grows linearly with the number of elements, besides being highly parallelizable. Over the last decades, several works regarding the EBE method were published in the literature, but none of them directly applied to flexible pipes. Due to the contact elements between the layers, problems with flexible pipes are usually characterized by very large matrix-bandwidth, making the implementation of EBE method more challenging, so that its efficiency and scalability are not compromised. Therefore, this work presents a parallelized implementation of an element-by-element architecture for structural analysis of flexible pipes using finite macroelements. Four synchronization algorithms were developed and analyzed in detail, including their scalability assessment, and comparisons were made with a well-stablished FEM software, with significant gains in simulation time and memory consumption.

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Contribuição ao projeto de cabos umbilicais e tubos flexíveis: ferramentas de CAD e modelo de macro elementos.

Cited by 2 publications

References 3 publications

Virtual element method applied to the linear elastic model.

Virtual element method applied to the linear elastic model.

Parallelized Element-By-Element Solver for Structural Analysis of Flexible Pipes Using Finite Macroelements

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