Dynamics of offshore risers using a geometrically-exact beam model with hydrodynamic loads and contact with the seabed

Neto, Alfredo Gay

doi:10.1016/j.engstruct.2016.07.005

Cited by 50 publications

(5 citation statements)

References 43 publications

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“…[44][45][46] All simulations in this work used a geometrically-exact beam theory that is implemented in the Giraffe finite element solver. [47][48][49] The beam formulation in the Giraffe solver considers initially straight quadratic elements.…”

Section: Structural Formulation and Solvermentioning

confidence: 99%

“…In this work, the proposed contact formulation is attached to a geometrically‐exact beam theory that is based on the seminal works of Simo 44‐46 . All simulations in this work used a geometrically‐exact beam theory that is implemented in the Giraffe finite element solver 47‐49 . The beam formulation in the Giraffe solver considers initially straight quadratic elements.…”

Section: Structural Formulation and Solvermentioning

confidence: 99%

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Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems

Júnior,

Gay Neto,

Wriggers

2023

Numerical Meth Engineering

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In the context of a multibody numerical environment, when aiming at representing the contact interaction between bodies one needs the inclusion of special mathematical formulations. They can be geometrically described as surface‐to‐surface or line‐to‐line contacts, for instance. The last one is usually the natural choice when addressing beam‐to‐beam contact. In the present work, a geometrically nonlinear structural formulation is combined with a beam‐to‐beam spline‐based contact formulation with a particular numerical strategy to address challenging contact problems. The numerical strategy consists of introducing criteria to evaluate, characterize and decide about the contact problem solutions. According to these criteria, a contact problem solution may be accepted, rejected, or proceed to a degeneration process (as a simplification of the original tentative for the geometric description). The main advantages of the proposed technique are the lack of special contact formulations for ill‐defined contact problems and the automatic switch between degenerated and nondegenerated scenarios. Therefore, one can naturally handle scenarios of pointwise or conformal contact, even in situations of transition between such categories along the model evolution. The adopted spline‐based formulation includes normal and tangential contact contributions. To test the proposed strategy, several pointwise and conformal contact examples are proposed.

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Section: Structural Formulation and Solvermentioning

confidence: 99%

Section: Structural Formulation and Solvermentioning

confidence: 99%

Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems

Júnior,

Gay Neto,

Wriggers

2023

Numerical Meth Engineering

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“…Post-treatment of contact is not scope of the paper. The complete description of the penalty method implemented in Giraffe [13] as well as the time integration can be found in [19,20]. An example of DEM simulation will be presented below.…”

Section: Dem Simulationmentioning

confidence: 99%

Contact Detection Algorithm for Convex NURBS Particles

Craveiro,

Gay-Nieto,

Wriggers

2023

VIII International Conference on Particle-Based Methods

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The present work proposes a contact detection algorithm for convex particles whose boundaries are mathematically defined by non-uniform B-splines (NURBS). This algorithm involves a hierarchy of contact searches, including both global and local steps. The focus is on the formulation of the local contact problem (LCP) using a master-to-master approach. It is based on computer graphics and optimization techniques. Besides the algorithm, the paper also discusses strategies for modeling particle geometry and their implications in contact detection. The use of multiple parameterizations (patches) assembled in space, for instance, provides more flexibility in the construction of particles and avoids numerical singularities. However, it leads to local geometric imperfections at the connection between patches. The LCP formulation proposed herein can deal with such imperfections through a contact degeneration technique. An example shows the robustness of the method.

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“…Moreover, the Giraffe finite element solver is briefly introduced and the implementations associated with the contact formulation are described. The geometrically-exact beam theory adopted is detailed in [59,60,61].…”

Section: Structural Theorymentioning

confidence: 99%

“…The Giraffe solver already includes geometrically-exact beam and shell formulations [70,71], master-master contact formulations of surfaces, and their degenerations [5,6,52,27]. The Giraffe solver has been successfully used in challenging applications such as wind turbine blades [68], buckling of pipelines [72,73], offshore risers [74,59,75,60], and textiles [1].…”

Section: Giraffe Finite Element Solvermentioning

confidence: 99%

Uma formulação de contato C¹ baseada em splines: aplicações têxteis

Faccio Júnior

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O contato entre corpos é um fenômeno complexo que envolve interação mecânica, atrito, transferência de calor, entre outros fatores. Uma abordagem comum (e conveniente) para interação mecânica em um ambiente de elementos finitos é usar diretamente a geometria dos elementos para formular a interação por contato. A principal desvantagem dessa abordagem está na existência de arestas agudas formadas, por exemplo, pela junção de elementos finitos retilíneos ou não-suaves que podem levando a singularidades de contato. Para contornar este problema, particularmente no contexto de contatos viga-a-viga, o presente trabalho propõe uma formulação de elementos de contato baseada em curvas splines C 1 . A formulação baseada em splines é desenvolvida para lidar com cenários de contato conforme (distribuído) e não-conforme (pontual). Uma estratégia de três critérios é introduzida para auxiliar no processo de tomada de decisão entre cenários de contato conforme e não-conforme. A formulação baseada em splines proposta pode ser anexada diretamente a qualquer formulação envolvendo elementos finitos de viga quadráticos, garantindo uma descrição suave para esses elementos. Uma lei específica de interação de contato normal não-linear e um modelo reológico para atrito já estabelecido, ambos com contribuições elásticas e viscosas, são adotados aumentando as possibilidades em aplicações práticas. Para demonstrar algumas possibilidades de aplicação, vários exemplos são explorados, incluindo comparações diretas com uma formulação de contato superfície-a-superfície e uma formulação alternativa de contato suave, além de exemplos desafiadores envolvendo contatos conformes e não-conformes e aplicações têxteis.Palavras-chave: Spline. Contato normal não-linear. Atrito. Contato pontual. Contato conforme.

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Dynamics of offshore risers using a geometrically-exact beam model with hydrodynamic loads and contact with the seabed

Cited by 50 publications

References 43 publications

Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems

Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems

Contact Detection Algorithm for Convex NURBS Particles

Uma formulação de contato C¹ baseada em splines: aplicações têxteis

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Dynamics of offshore risers using a geometrically-exact beam model with hydrodynamic loads and contact with the seabed

Cited by 50 publications

References 43 publications

Numerical strategy for solving general C1‐continuous beam‐to‐beam contact problems

Numerical strategy for solving general C1‐continuous beam‐to‐beam contact problems

Contact Detection Algorithm for Convex NURBS Particles

Uma formulação de contato C¹ baseada em splines: aplicações têxteis

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Product

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Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems

Numerical strategy for solving general C¹‐continuous beam‐to‐beam contact problems