Two dimensional analysis of inflatable structures by the positional FEM

This paper presents a, simple two dimensional frame formulation to deal with structures undergoing large motions due to dynamic actions including very thin inflatable structures, balloons. The proposed methodology is based on the minimum potential energy theorem written regarding nodal positions. Velocity, acceleration and strain are achieved directly from positions, not. displacements, characterizing the novelty of the proposed technique. A non-dimensional space is created and the deformation function (change of configuration) is written following two independent mappings from which the strain energy function is written. The classical New-mark equations are used to integrate time. Dumping and non-conservative forces are introduced into the mechanical system by a rheonomic energy function. The final formulation has the advantage of being simple and easy to teach, when compared to classical Counterparts. The behavior of a bench-mark problem (spin-up maneuver) is solved to prove the formulation regarding high circumferential speed applications. Other examples are dedicated to inflatable and very thin structures, in order to test the formulation for further analysis of three dimensional balloons.

A positional FEM Formulation for geometrical non-linear analysis of shells

This work presents a fully non-linear finite element formulation for shell analysis comprising linear strain variation along the thickness of the shell and geometrically exact description for curved triangular elements. The developed formulation assumes positions and generalized unconstrained vectors as the variables of the problem, not displacements and finite rotations. The full 3D Saint-Venant-Kirchhoff constitutive relation is adopted and, to avoid locking, the rate of thickness variation enhancement is introduced. As a consequence, the second Piola-Kirchhoff stress tensor and the Green strain measure are employed to derive the specific strain energy potential. Curved triangular elements with cubic approximation are adopted using simple notation. Selected numerical simulations illustrate and confirm the objectivity, accuracy, path independence and applicability of the proposed technique.

Alternative positional FEM applied to thermomechanical impact of truss structures

This paper presents a formulation to deal with dynamic thermomechanical problems by the finite element method. The proposed methodology is based on the minimum potential energy theorem written regarding nodal positions, not displacements, to solve the mechanical problem. The thermal problem is solved by a regular finite element method. Such formulation has the advantage of being simple and accurate. As a solution strategy, it has been used as a natural split of the thermomechanical problem, usually called isothermal split or isothermal staggered algorithm. Usual internal variables and the additive decomposition of the strain tensor have been adopted to model the plastic behavior. Four examples are presented to show the applicability of the technique. The results are compared with other authors` numerical solutions and experimental results. (C) 2010 Elsevier B.V. All rights reserved.

A solid-like FEM for geometrically non-linear 3D frames

This study presents a solid-like finite element formulation to solve geometric non-linear three-dimensional inhomogeneous frames. To achieve the desired representation, unconstrained vectors are used instead of the classic rigid director triad; as a consequence, the resulting formulation does not use finite rotation schemes. High order curved elements with any cross section are developed using a full three-dimensional constitutive elastic relation. Warping and variable thickness strain modes are introduced to avoid locking. The warping mode is solved numerically in FEM pre-processing computational code, which is coupled to the main program. The extra calculations are relatively small when the number of finite elements. with the same cross section, increases. The warping mode is based on a 2D free torsion (Saint-Venant) problem that considers inhomogeneous material. A scheme that automatically generates shape functions and its derivatives allow the use of any degree of approximation for the developed frame element. General examples are solved to check the objectivity, path independence, locking free behavior, generality and accuracy of the proposed formulation. (C) 2009 Elsevier B.V. All rights reserved.

A simple way to introduce fibers into FEM models

This communication proposes a simple way to introduce fibers into finite element modelling. This is a promising formulation to deal with fiber-reinforced composites by the finite element method (FEM), as it allows the consideration of short or long fibers placed arbitrarily inside a continuum domain (matrix). The most important feature of the formulation is that no additional degree of freedom is introduced into the pre-existent finite element numerical system to consider any distribution of fiber inclusions. In other words, the size of the system of equations used to solve a non-reinforced medium is the same as the one used to solve the reinforced counterpart. Another important characteristic is the reduced work required by the user to introduce fibers, avoiding `rebar` elements, node-by-node geometrical definitions or even complex mesh generation. An additional characteristic of the technique is the possibility of representing unbounded stresses at the end of fibers using a finite number of degrees of freedom. Further studies are required for non-linear applications in which localization may occur. Along the text the linear formulation is presented and the bounded connection between fibers and continuum is considered. Four examples are presented, including non-linear analysis, to validate and show the capabilities of the formulation. Copyright (c) 2007 John Wiley & Sons, Ltd.

A FEM procedure based on positions and unconstrained vectors applied to non-linear dynamic of 3D frames

This study presents an alternative three-dimensional geometric non-linear frame formulation based on generalized unconstrained vector and positions to solve structures and mechanisms subjected to dynamic loading. The formulation is classified as total Lagrangian with exact kinematics description. The resulting element presents warping and non-constant transverse strain modes, which guarantees locking-free behavior for the adopted three-dimensional constitutive relation, Saint-Venant-Kirchhoff, for instance. The application of generalized vectors is an alternative to the use of finite rotations and rigid triad`s formulae. Spherical and revolute joints are considered and selected dynamic and static examples are presented to demonstrate the accuracy and generality of the proposed technique. (C) 2010 Elsevier B.V. All rights reserved.

Influência da função distribuição de quebra na modelagem e simulação do circuito de moagem de Carajás - Parte 1 - ajuste de modelos

The perfect mixing model (PMM) is based on parameters derived from the equipment characteristics as well as ore breakage characteristics. Ore characteristics are represented through the appearance function. This function may be determined using JKMRC laboratorial methods or by standard functions. This work describes the model fitting process of the Carajas grinding circuit, using the JKSimMet simulator Two scenarios were used in model fitting exercises: 1) standard appearance function; and 2) appearance fund ion based on testing carried out on samples taken at circuit feed. From this assessment, the appearance function`s influence in the PMM,fit and it`s relation with the breakage rate were determined. The influence of the appearance function on the respective breakage rate distribution was assessed.

Influência da função distribuição de quebra na modelagem e simulação do circuito de moagem de Carajás - parte 2 - simulação

Using the previously described method for appearance function determination, described in Part I of this article, the breakage characterization of the main Carajas ore types was carried out. Based on such characteristics, the ball mill circuit performance was evaluated through simulations. The model described in the first part was used. The results were assessed by comparing ball mill products and cyclone overflow size distribution, as well as simulated recirculating loads. The simulations indicated the potential for processing such ore types at the Carajas grinding circuit, which until now was unknown.

Modelagem de dados de entrada para simulação estocástica de lavra

Mine simulation depends on data that is both coherent and representative of the mining operation. This paper describes a methodology for modeling operational data which has been developed for mine simulation. The methodology has been applied to a case study of an open-pit mine, where the cycle times of the truck fleet have been modeled for mine simulation purposes. The results obtained have shown that once the operational data has been treated using the proposed methodology, the system variables have proven to be adherent to theoretical distributions. The research indicated the need jar tracking the origin of data inconsistencies through the development of a process to manage inconsistent data from the mining operation.

Modelagem e simulação de sistema logístico de distribuição de carne de frango

O sistema logístico para distribuição de produtos acabados caracteriza-se pela integração dos serviços de comunicação, transporte e financeiros com a finalidade de atender às demandas do consumidor final. Estima-se que no estado do Espírito Santo, o consumo de carne de frango seja de 44,4 quilos per capita por ano. Para atender a esta demanda, o estado conta com matadouros-frigoríficos distribuídos pelo seu território, bem como, com a participação de outras empresas localizadas no país. Em sistemas de transportes, são característicos Problemas de Roteamento de Veículos (VRP), que precisam ser estudados, caracterizados e otimizados, normalmente, através de rotinas computacionais, que permitem avaliar maior quantidade de variáveis. O presente trabalho teve por objetivo caracterizar um VRP de um matadouro-frigorífico da região do Sul do Espírito Santo e desenvolver um aplicativo computacional que seja suporte para os gestores de logística, servindo para avaliar e propor rotas, e analisar parâmetros logísticos do processo de distribuição de produtos. No desenvolvimento do aplicativo computacional foi necessário caracterizar o sistema logístico da empresa, coletar e analisar os dados das operações logísticas, desenvolver as rotinas computacionais que representassem o sistema em estudo, verificar a confiabilidade dos resultados fornecidos pelo aplicativo, validá-lo e então, poder realizar as experimentações. O aplicativo desenvolvido permitiu reproduzir dados do sistema estudado e avaliar rotas segundo parâmetros logísticos. Pode-se concluir que o aplicativo computacional desenvolvido é útil aos gestores de logística, permitindo a avaliação das rotas praticadas e de novas configurações de rotas.

Modelagem e simulação de um secador intermitente de fluxos contracorrentes para frutos do cafeeiro

Este trabalho foi realizado com o objetivo de desenvolver um modelo computacional para simular a secagem de frutos café em um secador intermitente de fluxos contracorrente, empregando a linguagem de simulação EXTEND™ e o Modelo de Thompson (THOMPSON; PEART; FOSTER, 1968). Para validação do modelo desenvolvido foram utilizados dados experimentais obtidos por Silva (1991), em que foram empregados três níveis de temperatura do ar de secagem de 60, 80 e 100 °C. O modelo desenvolvido foi validado, sendo constatados desvios absolutos de 1,8% b.u e 1,1 kg e erros relativos de 11% e 1,6% na previsão dos parâmetros teor de água final e consumo de lenha, respectivamente. O modelo validado foi empregado na condução de experimentos tipo comparação de cenários. O primeiro experimento refere a alterações do ciclo operacional em que foram alterados os tempos de movimentação e de parada do fluxo da massa de grãos. E o segundo refere à alteração da configuração do secador quanto às alturas das câmaras de secagem e descanso. O ciclo operacional com os tempos de movimentação de um minuto e de parada de dezesseis minutos, para a temperatura do ar de secagem de 100 °C, proporcionou o melhor desempenho, sendo constatado tempo secagem de 12,3 h, consumo de lenha de 109,5 kg, consumo específico de energia de 7660 kJ.kg-1 de água evaporada, e capacidade de secagem de 87,86 kg.h-1. Quanto à configuração do secador, o melhor desempenho ocorreu para altura da câmara de secagem de 2,3 m usando a temperatura do ar de secagem de 100 °C, em que foram simulados tempo de secagem de 12,0 h, consumo de lenha de 106,5 kg, consumo específico de energia, de 7433 kJ.kg-1 de água evaporada, e capacidade de secagem de 90 kg.h-1. Desse modo, na condução da secagem de frutos de café em um secador intermitente de fluxos contracorrentes é recomendado o ciclo operacional com tempos de movimentação de um minuto e o de parada de dezesseis minutos, e não empregar a câmara de descanso. Essa conclusão está fundamentada em índices de desempenho do secador. Ressalta-se que não foram simulados os impactos nos parâmetros de qualidade.

Eficiência do modelo Ceres-Maize na simulação do desempenho de híbridos de milho

O modelo Ceres-Maize foi desenvolvido para simulação do desenvolvimento e desempenho da cultura do milho e tem sido utilizado como ferramenta de auxílio no planejamento das safras e tomadas de decisões pelos agricultores de diversos países. Com o objetivo de avaliar a eficiência do modelo Ceres-Maize na simulação do desempenho de híbridos de milho nas condições tropicais, foi conduzido um experimento utilizando cinco híbridos (AG7000, AG8060, DKB199, GNZ2004 e P30F90) avaliados em três épocas de semeadura (24/11/2006, 19/12/2006 e 13/01/2007) na Universidade Federal de Lavras, Lavras, MG. O delineamento foi o DBC com três repetições. Avaliaram-se datas de florescimento e maturidade fisiológica, número de grãos por metro quadrado, massa de grãos e produtividade de grãos, que foram comparados com os dados simulados pelo quadrado médio do erro (RSME), porcentagem de desvio (PD) e índice de concordância (d). Os resultados indicaram que o milho semeado em janeiro apresentou menores valores de número de grãos por metro quadrado, massa de grão e produtividade de grãos do que semeaduras em novembro e dezembro. O Ceres-Maize mostrou-se muito eficiente para simular as datas de florescimento e de maturidade fisiológica em razão dos valores de RSME terem sido inferiores a 10%, os de 'd' superiores a 0,80 e o maior valor de PD -11%. Para o número de grãos por metro quadrado, massa de grãos e produtividade de grãos, a simulação foi considerada boa com valores de RSME inferiores a 20%. Para essas variáveis foram observados maiores valores de PD, principalmente na última época de semeadura, evidenciando que condições ambientais não favoráveis ao bom desempenho da cultura afetam a eficiência da simulação. O modelo Ceres-Maize mostrou ser boa ferramenta de simulação das características agronômicas de híbridos de milho.

Improving FEM crash simulation accuracy through local thickness estimation based on CAD data

In this paper, we present a method for estimating local thickness distribution in nite element models, applied to injection molded and cast engineering parts. This method features considerable improved performance compared to two previously proposed approaches, and has been validated against thickness measured by di erent human operators. We also demonstrate that the use of this method for assigning a distribution of local thickness in FEM crash simulations results in a much more accurate prediction of the real part performance, thus increasing the bene ts of computer simulations in engineering design by enabling zero-prototyping and thus reducing product development costs. The simulation results have been compared to experimental tests, evidencing the advantage of the proposed method. Thus, the proposed approach to consider local thickness distribution in FEM crash simulations has high potential on the product development process of complex and highly demanding injection molded and casted parts and is currently being used by Ford Motor Company.