Introducing numerical analysis tools in engineering: a Scilab user case in electronics course

Software tools in education became popular since the widespread of personal computers. Engineering courses lead the way in this development and these tools became almost a standard. Engineering graduates are familiar with numerical analysis tools but also with simulators (e.g. electronic circuits), computer assisted design tools and others, depending on the degree. One of the main problems with these tools is when and how to start use them so that they can be beneficial to students and not mere substitutes for potentially difficult calculations or design. In this paper a software tool to be used by first year students in electronics/electricity courses is presented. The growing acknowledgement and acceptance of open source software lead to the choice of an open source software tool – Scilab, which is a numerical analysis tool – to develop a toolbox. The toolbox was developed to be used as standalone or integrated in an e-learning platform. The e-learning platform used was Moodle. The first approach was to assess the mathematical skills necessary to solve all the problems related to electronics and electricity courses. Analysing the existing circuit simulators software tools, it is clear that even though they are very helpful by showing the end result they are not so effective in the process of the students studying and self learning since they show results but not intermediate steps which are crucial in problems that involve derivatives or integrals. Also, they are not very effective in obtaining graphical results that could be used to elaborate reports and for an overall better comprehension of the results. The developed tool was based on the numerical analysis software Scilab and is a toolbox that gives their users the opportunity to obtain the end results of a circuit analysis but also the expressions obtained when derivative and integrals calculations, plot signals, obtain vector diagrams, etc. The toolbox runs entirely in the Moodle web platform and provides the same results as the standalone application. The students can use the toolbox through the web platform (in computers where they don't have installation privileges) or in their personal computers by installing both the Scilab software and the toolbox. This approach was designed for first year students from all engineering degrees that have electronics/electricity courses in their curricula.

Improved Numerical Simulation for a Novel Adaptive Control Using Fractional Order Derivatives

A novel control technique is investigated in the adaptive control of a typical paradigm, an approximately and partially modeled cart plus double pendulum system. In contrast to the traditional approaches that try to build up ”complete” and ”permanent” system models it develops ”temporal” and ”partial” ones that are valid only in the actual dynamic environment of the system, that is only within some ”spatio-temporal vicinity” of the actual observations. This technique was investigated for various physical systems via ”preliminary” simulations integrating by the simplest 1st order finite element approach for the time domain. In 2004 INRIA issued its SCILAB 3.0 and its improved numerical simulation tool ”Scicos” making it possible to generate ”professional”, ”convenient”, and accurate simulations. The basic principles of the adaptive control, the typical tools available in Scicos, and others developed by the authors, as well as the improved simulation results and conclusions are presented in the contribution.

A Real-Time Optimization for 2R Manipulators

This work proposes a real-time algorithm to generate a trajectory for a 2 link planar robotic manipulator. The objective is to minimize the space/time ripple and the energy requirements or the time duration in the robot trajectories. The proposed method uses an off line genetic algorithm to calculate every possible trajectory between all cells of the workspace grid. The resultant trajectories are saved in several trees. Then any trajectory requested is constructed in real-time, from these trees. The article presents the results for several experiments.

Chaotic Phenomena and Performance Optimization in the Trajectory Control of Redundant Manipulators

Redundant manipulators have some advantages when compared with classical arms because they allow the trajectory optimization, both on the free space and on the presence of abstacles, and the resolution of singularities. For this type of manipulators, several kinetic algorithms adopt generalized inverse matrices. In this line of thought, the generalized inverse control scheme is tested through several experiments that reveal the difficulties that often arise. Motivated by theseproblems this paper presents a new method that ptimizes the manipulability through a least squre polynomialapproximation to determine the joints positions. Moreover, the article studies influence on the dynamics, when controlling redundant and hyper-redundant manipulators. The experiment confirm the superior performance of the proposed algorithm for redundant and hyper-redundant manipulators, revealing several fundamental properties of the chaotic phenomena, and gives a deeper insight towards the future development of superior trajectory control algorithms.

A multi-objective optimization of the active and reactive resource scheduling at a distribution level in a smart grid context

In the traditional paradigm, the large power plants supply the reactive power required at a transmission level and the capacitors and transformer tap changer were also used at a distribution level. However, in a near future will be necessary to schedule both active and reactive power at a distribution level, due to the high number of resources connected in distribution levels. This paper proposes a new multi-objective methodology to deal with the optimal resource scheduling considering the distributed generation, electric vehicles and capacitor banks for the joint active and reactive power scheduling. The proposed methodology considers the minimization of the cost (economic perspective) of all distributed resources, and the minimization of the voltage magnitude difference (technical perspective) in all buses. The Pareto front is determined and a fuzzy-based mechanism is applied to present the best compromise solution. The proposed methodology has been tested in the 33-bus distribution network. The case study shows the results of three different scenarios for the economic, technical, and multi-objective perspectives, and the results demonstrated the importance of incorporating the reactive scheduling in the distribution network using the multi-objective perspective to obtain the best compromise solution for the economic and technical perspectives.

Adaptive Penalty and Barrier function based on Fuzzy Logic

Optimization methods have been used in many areas of knowledge, such as Engineering, Statistics, Chemistry, among others, to solve optimization problems. In many cases it is not possible to use derivative methods, due to the characteristics of the problem to be solved and/or its constraints, for example if the involved functions are non-smooth and/or their derivatives are not know. To solve this type of problems a Java based API has been implemented, which includes only derivative-free optimization methods, and that can be used to solve both constrained and unconstrained problems. For solving constrained problems, the classic Penalty and Barrier functions were included in the API. In this paper a new approach to Penalty and Barrier functions, based on Fuzzy Logic, is proposed. Two penalty functions, that impose a progressive penalization to solutions that violate the constraints, are discussed. The implemented functions impose a low penalization when the violation of the constraints is low and a heavy penalty when the violation is high. Numerical results, obtained using twenty-eight test problems, comparing the proposed Fuzzy Logic based functions to six of the classic Penalty and Barrier functions are presented. Considering the achieved results, it can be concluded that the proposed penalty functions besides being very robust also have a very good performance.

Towards Human-like Bimanual Movements in Anthropomorphic Robots: A Nonlinear Optimization Approach

Previously we have presented a model for generating human-like arm and hand movements on an unimanual anthropomorphic robot involved in human-robot collaboration tasks. The present paper aims to extend our model in order to address the generation of human-like bimanual movement sequences which are challenged by scenarios cluttered with obstacles. Movement planning involves large scale nonlinear constrained optimization problems which are solved using the IPOPT solver. Simulation studies show that the model generates feasible and realistic hand trajectories for action sequences involving the two hands. The computational costs involved in the planning allow for real-time human robot-interaction. A qualitative analysis reveals that the movements of the robot exhibit basic characteristics of human movements.

A filter inexact-restoration method for nonlinear programming

A new iterative algorithm based on the inexact-restoration (IR) approach combined with the filter strategy to solve nonlinear constrained optimization problems is presented. The high level algorithm is suggested by Gonzaga et al. (SIAM J. Optim. 14:646–669, 2003) but not yet implement—the internal algorithms are not proposed. The filter, a new concept introduced by Fletcher and Leyffer (Math. Program. Ser. A 91:239–269, 2002), replaces the merit function avoiding the penalty parameter estimation and the difficulties related to the nondifferentiability. In the IR approach two independent phases are performed in each iteration, the feasibility and the optimality phases. The line search filter is combined with the first one phase to generate a “more feasible” point, and then it is used in the optimality phase to reach an “optimal” point. Numerical experiences with a collection of AMPL problems and a performance comparison with IPOPT are provided.

Estudo e otimização de juntas do tipo Tpeel soldadas, adesivas e híbridas

A necessidade de utilizar métodos de ligação que melhor satisfaçam as necessidades de projeto tem causado a crescente utilização das juntas adesivas, em detrimento dos métodos tradicionais tais como a soldadura, ligações aparafusadas e rebitadas. A sua utilização em diversas aplicações industriais justifica-se pela redução de peso, redução de concentrações de tensões, isolamento acústico e melhor resistência à corrosão. Contudo, também apresentam desvantagens, como a necessidade de preparação das juntas, a fraca resistência a esforços de arrancamento e a complexidade da previsão da sua resistência. As juntas híbridas são obtidas por combinação de uma técnica tradicional com uma ligação adesiva. As juntas híbridas adesivas-soldadas obtêm-se através da combinação da ligação adesiva com a ligação soldada, sendo a soldadura de resistência por pontos a técnica de soldadura mais usada no fabrico deste tipo de juntas. A sinergia entre ligação adesiva e soldadura por pontos oferece vantagens competitivas em relação às ligações adesivas, tais como superior resistência e rigidez, e maior resistência ao arrancamento e à fadiga. No presente trabalho é apresentado um estudo experimental e numérico de juntas T-peel soldadas, adesivas e híbridas (adesivas-soldadas) solicitadas ao arrancamento. Considerouse o adesivo frágil Araldite® AV138 e os adesivos dúcteis Araldite® 2015 e Sikaforce® 7752 e aderentes de aço (C45E). Foi realizada uma análise dos valores experimentais e efetuada uma comparação destes valores com os resultados obtidos pelo Método de Elementos Finitos (MEF) no software ABAQUS®, que incluiu uma análise de tensões na camada de adesivo e previsão do comportamento das juntas por MDC. Observou-se que, dos três adesivos em estudo, o adesivo Sikaforce® 7752 é o que apresenta o melhor desempenho na ligação de juntas T-peel. A boa concordância entre os resultados experimentais e numéricos permitiu validar a utilização de MDC para previsão da resistência de juntas T-peel adesivas e híbridas. Assim, o presente trabalho representa uma base para posterior aplicação no projeto deste tipo de ligação, com as vantagens decorrentes na redução do tempo de projeto e maior facilidade de otimização.

Estudo de Ferramentas FEA Comerciais na Simulação Numérica de Processos de Conformação de Chapas Metálicas. Aplicação à Indústria Automóvel.

Os componentes obtidos através da conformação plástica de chapas têm uma grande importância, tanto na etapa de concepção do produto como na etapa de produção na indústria automóvel. Isto comprova-se pelo facto de, em média, cada automóvel integrar cerca de 500 componentes estampados para construir o chassis e a carroçaria [Alves 2003]. Deste total de componentes, 50 são de grandes dimensões (portas, tejadilho, painéis inferior e laterais, entre outros) e necessitam, em média, de cinco ferramentas para o seu fabrico, sendo o custo estimado para cada ferramenta de 230 000 € [Col 2000, Alves 2003]. Para além da indústria automóvel, a conformação plástica de chapas metálicas é um processo tecnológico presente nas indústrias relativas à aeroespacial, petrolífera, decoração, alimentar, entre outras. Do ponto de vista do enquadramento económico, cerca de 20% do custo total de um automóvel novo é devido à incorporação de componentes metálicos estampados. [Alves 2003]. A pressão do “Mercado Global” faz com que os custos relativos à matéria-prima, energia e mão-de-obra sejam uma constante em termos de redução do seu impacte no orçamento das empresas fornecedoras destes produtos. É neste contexto que surge a necessidade da realização deste estudo de Benchmark de Softwares, tornando-se bastante importante, quer ao nível da competitividade industrial, quer ao nível da inovação para novos produtos. A análise por elementos finitos desempenha um papel primordial no tryout virtual e otimização das ferramentas e processos de conformação plástica. Os objetivos principais deste estudo de simulação numérica são a identificação e comparação dos resultados obtidos pelo AUTOFORM e pelo PAMSTAMP, para cada uma das variáveis identificadas como as mais influentes na robustez dos processos de estampagem de chapa metálica. Estas variáveis identificadas são: consumo de material (Draw-in) após conformação; forças de conformação; valores de variação de espessura e dos valores de extensão e resultados de Springback. Os resultados obtidos são comparados com os resultados experimentais e, desta forma, avalia-se a capacidade inovadora e a eficácia de cada um dos softwares, obtendo-se assim, uma orientação mais real para o software mais indicado aos objetivos impostos pela indústria automóvel. Para este efeito, a indústria automóvel, como maior impulsionador e motor da investigação na área da simulação numérica aplicada aos processos de estampagem, tem aderido em peso ao Benchmarking. Um exemplo disto, é o que acontece nas conferências Numisheet. O Benchmark #2 da conferência Numisheet 2008 é analisado pormenorizadamente e os resultados numéricos e experimentais são comparados e apresentados. Dois materiais distintos (aço HC260LAD e liga de alumínio AC170), assim como três modelos com geometrias diferentes (com e sem freios) são apresentados neste relatório. Com vista à redução dos ciclos tentativa-erro, tem-se adotado ciclos virtuais ou numéricos e tem-se incrementado a interatividade entre as fases de concepção e projeto, num conceito muito próprio, mas cada vez mais abrangente, denominado “produção virtual”. É nesta filosofia que se insere a simulação numérica dos processos de conformação de chapa.

Strength and damage analysis of composite-aluminium adhesively-bonded single-lap joints

With the need to find an alternative way to mechanical and welding joints, and at the same time to overcome some limitations linked to these traditional techniques, adhesive bonds can be used. Adhesive bonding is a permanent joining process that uses an adhesive to bond the components of a structure. Composite materials reinforced with fibres are becoming increasingly popular in many applications as a result of a number of competitive advantages. In the manufacture of composite structures, although the fabrication techniques reduce to the minimum by means of advanced manufacturing techniques, the use of connections is still required due to the typical size limitations and design, technological and logistical aspects. Moreover, it is known that in many high performance structures, unions between composite materials with other light metals such as aluminium are required, for purposes of structural optimization. This work deals with the experimental and numerical study of single lap joints (SLJ), bonded with a brittle (Nagase Chemtex Denatite XNRH6823) and a ductile adhesive (Nagase Chemtex Denatite XNR6852). These are applied to hybrid joints between aluminium (AL6082-T651) and carbon fibre reinforced plastic (CFRP; Texipreg HS 160 RM) adherends in joints with different overlap lengths (LO) under a tensile loading. The Finite Element (FE) Method is used to perform detailed stress and damage analyses allowing to explain the joints’ behaviour and the use of cohesive zone models (CZM) enables predicting the joint strength and creating a simple and rapid design methodology. The use of numerical methods to simulate the behaviour of the joints can lead to savings of time and resources by optimizing the geometry and material parameters of the joints. The joints’ strength and failure modes were highly dependent on the adhesive, and this behaviour was successfully modelled numerically. Using a brittle adhesive resulted in a negligible maximum load (Pm) improvement with LO. The joints bonded with the ductile adhesive showed a nearly linear improvement of Pm with LO.