A Stochastic Approach for a Cosserat Rod Drill-String Model with Stick-Slip Motion

Manuel, Hector Eduardo Goicoechea; Lima, Roberta; Sampaio, Rubens; Rosales, Marta B.; Buezas, Fernando Salvador

doi:10.1007/978-3-030-53669-5_8

Cited by 5 publications

(5 citation statements)

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“…É comum encontrar na literatura trabalhos que aplicam métodos numéricos para obter aproximações para a resposta deste tipo de problema. Entretanto, a não linearidade e a transição abrupta entre as fases dificultam bastante o processo de integração [51][52][53]. Os métodos analíticos podem ser usados como estratégia para reduzir os custos computacionais, sem perder a precisão das aproximações e até mesmo para prever os instantes de transição.…”

Section: Problema Modelo E Objetivos 131 Problema Modelo: Sistema Com...unclassified

Análise Do Custo Computacional Do Método De Monte Carlo: Uma Abordagem Estocástica Aplicada a Um Problema De Vibrações Com Stick-Slip

SANTOS¹

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Section: Problema Modelo E Objetivos 131 Problema Modelo: Sistema Com...unclassified

Análise Do Custo Computacional Do Método De Monte Carlo: Uma Abordagem Estocástica Aplicada a Um Problema De Vibrações Com Stick-Slip

SANTOS¹

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“…Moreover, the chapter includes contributions in the field of the constitutive relations, where a methodology to derive the equations from known 3-D constitutives is presented. This methodology has been developed in the context of piezoelectric materials in [39], a congress publication made by the author of the present thesis, and it was adapted for the present use.…”

Section: Outline and Contributionsmentioning

confidence: 99%

“…For example, it will be relaxed when dealing with constitutive relations to avoid some incongruities that would otherwise appear. More information about this topic will be given in Chapter 2.3, and can also be found in [39].…”

Section: The Kinematic Hypothesesmentioning

confidence: 99%

“…On top of that, it provides a means to state the constitutive relations for materials that, up to the author's knowledge, have not been used in models with the framework of the theory of Cosserat rods. More specifically, the procedure detailed in this chapter was developed in [39] to obtain the constitutive relations for piezoelectric materials, with the aim of exploring their use as a tool to dampen structures. Up to the author's knowledge, those results concerning piezoelectrics are novel, although they will not be included in this thesis given that these materials will not be used in the models herein described.…”

Section: The Constitutive Relationsmentioning

confidence: 99%

“…Although typically not much importance is given to this lack of coherence, there are some contexts where it plays an important role. For example, when non-isotropic materials are used, the elasticity constants need to be modified to obtain meaningful physical results, as shown in [39,59]. For this reason, the introduction of G RR is essential to obtaining consistent constitutive equations.…”

Section: Revisiting the Kinematic Hypothesesmentioning

confidence: 99%

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Cosserat Rods and Their Application to Drill-String Dynamics

Manuel¹

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I would like start by thanking my current advisors, Fernando Buezas and Roberta Lima, for their guidance and contributions that helped make possible this thesis. I am also grateful for the guidance provided by Prof. Marta Rosales, now retired from teaching, who helped me initiate into the world of research as a pre-graduate student and then, together with Fernando, directed my first years as a Ph.D student. I would also like to say that it has been a true pleasure working with her. Last but not least, I am grateful for having met Prof. Rubens Sampaio, who made my stay at PUC-Rio possible and invited me to take part of his research group in the Laboratory of Vibrations, where I met Roberta. The talks and discussions with Rubens often gave new ideas on ways to improve and continue my research. Also, all the conversations on random topics like economy, politics and leisure activities were always interesting. I am grateful to my parents, that have supported me in this quest, both by lending an ear and economically, when it was required. Finally, I would like to thank my colleagues and friends, from both Argentina and Brasil, for all the discussions, the help, and the little things that make our daily life more entertaining.

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