A positional Unconstrained Vector Layerwise (UVLWT) FEM formulation for laminated frame element modeling

Nogueira, Geovanne Viana; Paccola, Rodrigo Ribeiro; Coda, Humberto Breves

doi:10.1016/j.compstruct.2016.04.005

Cited by 5 publications

(1 citation statement)

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“…Torkamani e Shieh [17] empregaram matrizes de rigidez de alta ordem com uma descrição Lagrangeana atualizada para avaliar o comportamento mecânico de estruturas treliçadas 2D. Crisfield [18] e Crisfield e Moita [19] aplicaram a formulação co-rotacional para sólidos, cascas e vigas geometricamente A abordagem do MEF posicional foi aplicada em análises estáticas e dinâmicas geometricamente não lineares de cascas [20,21], placas [22], pórticos [23,24,25], vigas [26,27] e mecanismos [28], sempre com bons resultados. Carrazedo e Coda [29] propuseram um elemento finito prismático de base triangular de alta ordem para analisar vigas, placas e cascas laminadas, usando uma descrição Lagrangeana total com comportamento livre de travamento e distribuição de tensão adequada mesmo para materiais complexos.…”

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Análise mecânica e probabilística de estruturas treliçadas sujeitas ao colapso progressivo

Felipe¹

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Análise mecânica e probabilística de estruturas treliçadas sujeitas ao colapso progressivo

Felipe¹

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IGA-based topology optimization in the design of stress-constrained compliant mechanisms

Villalba,

Gonçalves,

Dias-de-Oliveira

et al. 2023

Struct Multidisc Optim

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Topology design of compliant mechanisms has gained wide popularity among the scientific community, and their use in the mechanical engineering field is being of upmost importance. In this paper, an isogeometric analysis (IGA) formulation is used to solve the topology optimization problem of compliant mechanisms. Stress constraints are introduced in the problem to guarantee the attainment of realistic solutions. For this purpose, an overweight constraint is considered for the design process, replacing the use of local stress constraints. The material distribution in the domain is modeled with quadratic B-splines and with a uniform relative density within each element of the mesh. These strategies to define the material layout are used to compare the IGA-based formulation with the finite element (FEM) formulation. The IGA formulation provides several advantages with respect to the classical FEM-based approaches that are shown and analyzed with an input-parameters sensitivity analysis. The sensitivity analysis and the assessment of the importance of introducing of stress constraints in the problem are developed by solving two benchmark problems. Regarding the sensitivity analysis of input parameters, the results show that the ratio between the material and the springs stiffnesses is the parameter with the largest influence on the solutions of the problem. Moreover, the advantages of the IGA formulations over FEM formulations are related with the computational time, the smoothness of the structural borders, and the non-appearance of the checkerboard patterns. With respect to the stress constraints, the results show that they have to be considered in order to avoid instability and structural integrity problems.

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A consistent UVLWT formulation for laminated plane frame analysis considering semi-rigid connections

Nogueira

Paccola

Coda

2018

Finite Elements in Analysis and Design

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A positional Unconstrained Vector Layerwise (UVLWT) FEM formulation for laminated frame element modeling

Cited by 5 publications

References 38 publications

Análise mecânica e probabilística de estruturas treliçadas sujeitas ao colapso progressivo

Análise mecânica e probabilística de estruturas treliçadas sujeitas ao colapso progressivo

IGA-based topology optimization in the design of stress-constrained compliant mechanisms

A consistent UVLWT formulation for laminated plane frame analysis considering semi-rigid connections

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