Applying Potra-Pták iterative cycle for solving highly nonlinear structural problems.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorRocha Segundo, Jackson da Silva-
Autor(es): dc.creatorSilveira, Ricardo Azoubel da Mota-
Autor(es): dc.creatorSilva, Andrea Regina Dias da-
Autor(es): dc.creatorBarros, Rafael Cesário-
Autor(es): dc.creatorLemes, Igor José Mendes-
Data de aceite: dc.date.accessioned2025-08-21T15:23:18Z-
Data de disponibilização: dc.date.available2025-08-21T15:23:18Z-
Data de envio: dc.date.issued2024-11-18-
Data de envio: dc.date.issued2024-11-18-
Data de envio: dc.date.issued2022-
Fonte completa do material: dc.identifierhttps://www.repositorio.ufop.br/handle/123456789/19055-
Fonte completa do material: dc.identifierhttps://www.tandfonline.com/doi/full/10.1080/10168664.2023.2249937-
Fonte completa do material: dc.identifierhttps://doi.org/10.1080/10168664.2023.2249937-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1012861-
Descrição: dc.descriptionWhen solving nonlinear algebraic equations that arise from discretization using the finite element method (FEM), it is often observed that the standard Newton Raphson (N-R) iteration either fails to converge or necessitates a large number of iterations in the vicinity of critical points. This work proposes an additional numerical strategy, known as the Potra-Pták iterative cycle, to improve the efficiency of solving highly nonlinear structural problems. Therefore, the focus here is on making the nonlinear solver more robust and efficient, allowing the analysis of more complex nonlinear structures. In the Potra-Pták iterative cycle, two corrections of the objective function (energy function) are performed. The introduction of a second correction in the iterative cycle makes the Potra-Pták strategy more efficient than the standard or modified NR iterations. This numerical strategy was implemented in the homemade Computational System for Advanced Structural Analysis (CS-ASA) program. The program is based on the FEM and is capable of performing static and dynamic nonlinear analysis of steel, concrete, and composite structures, and its efficiency is then verified through the analysis of slender frames and arches. The algorithm details for solving the nonlinear structural problem, characterized by the Potra-Pták scheme, are provided.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectPotra-Pták iterative cycle-
Palavras-chave: dc.subjectNewton-Raphson method-
Palavras-chave: dc.subjectNonlinear structure problem-
Palavras-chave: dc.subjectFinite element method-
Título: dc.titleApplying Potra-Pták iterative cycle for solving highly nonlinear structural problems.-
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