The use of the boundary element method in the analysis of single lap joints

The most common techniques for stress analysis/strength prediction of adhesive joints involve analytical or numerical methods such as the Finite Element Method (FEM). However, the Boundary Element Method (BEM) is an alternative numerical technique that has been successfully applied for the solution of a wide variety of engineering problems. This work evaluates the applicability of the boundary elem ent code BEASY as a design tool to analyze adhesive joints. The linearity of peak shear and peel stresses with the applied displacement is studied and compared between BEASY and the analytical model of Frostig et al., considering a bonded single-lap joint under tensile loading. The BEM results are also compared with FEM in terms of stress distributions. To evaluate the mesh convergence of BEASY, the influence of the mesh refinement on peak shear and peel stress distributions is assessed. Joint stress predictions are carried out numerically in BEASY and ABAQUS®, and analytically by the models of Volkersen, Goland, and Reissner and Frostig et al. The failure loads for each model are compared with experimental results. The preparation, processing, and mesh creation times are compared for all models. BEASY results presented a good agreement with the conventional methods.

Dynamic programming for a Markov-switching jump–diffusion

We consider an optimal control problem with a deterministic finite horizon and state variable dynamics given by a Markov-switching jump–diffusion stochastic differential equation. Our main results extend the dynamic programming technique to this larger family of stochastic optimal control problems. More specifically, we provide a detailed proof of Bellman’s optimality principle (or dynamic programming principle) and obtain the corresponding Hamilton–Jacobi–Belman equation, which turns out to be a partial integro-differential equation due to the extra terms arising from the Lévy process and the Markov process. As an application of our results, we study a finite horizon consumption– investment problem for a jump–diffusion financial market consisting of one risk-free asset and one risky asset whose coefficients are assumed to depend on the state of a continuous time finite state Markov process. We provide a detailed study of the optimal strategies for this problem, for the economically relevant families of power utilities and logarithmic utilities.

Strap repairs using embedded patches: numerical analysis and experimental results

Adhesively bonded repairs offer an attractive option for repair of aluminium structures, compared to more traditional methods such as fastening or welding. The single-strap (SS) and double-strap (DS) repairs are very straightforward to execute but stresses in the adhesive layer peak at the overlap ends. The DS repair requires both sides of the damaged structures to be reachable for repair, which is often not possible. In strap repairs, with the patches bonded at the outer surfaces, some limitations emerge such as the weight, aerodynamics and aesthetics. To minimize these effects, SS and DS repairs with embedded patches were evaluated in this work, such that the patches are flush with the adherends. For this purpose, in this work standard SS and DS repairs, and also with the patches embedded in the adherends, were tested under tension to allow the optimization of some repair variables such as the overlap length (LO) and type of adhesive, thus allowing the maximization of the repair strength. The effect of embedding the patch/patches on the fracture modes and failure loads was compared with finite elements (FE) analysis. The FE analysis was performed in ABAQUS® and cohesive zone modelling was used for the simulation of damage onset and growth in the adhesive layer. The comparison with the test data revealed an accurate prediction for all kinds of joints and provided some principles regarding this technique.

Effect of Adherend Recessing on the Tensile Strength of Single Lap Joints

Bonded joints are gaining importance in many fields of manufacturing owing to a significant number of advantages to the traditional methods. The single lap joint (SLJ) is the most commonly used method. The use of material or geometric changes in SLJ reduces peel and shear peak stresses at the damage initiation sites. In this work, the effect of adherend recessing at the overlap edges on the tensile strength of SLJ, bonded with a brittle adhesive, was experimentally and numerically studied. The recess dimensions (length and depth) were optimized for different values of overlap length (LO), thus allowing the maximization of the joint’s strength by the reduction of peak stresses at the overlap edges. The effect of recessing was also investigated by a finite element (FE) analysis and cohesive zone modelling (CZM), which allowed characterizing the entire fracture process and provided joint strength predictions. For this purpose, a static FE analysis was performed in ABAQUS1 considering geometric nonlinearities. In the end, the experimental and FE results revealed the accuracy of the FE analysis in predicting the strength and also provided some design principles for the strength improvement of SLJ using a relatively simple and straightforward technique.

A Review of Definitions for Fractional Derivatives and Integral

This paper presents a review of definitions of fractional order derivatives and integrals that appear in mathematics, physics, and engineering.

Estruturas de Suporte de Terras Executadas com Pneus - Modelo à Escala Reduzida

Mestrado em Engenharia Civil – Ramo de Estruturas

Influência do tipo de adesivo em juntas híbridas soldadas-adesivas

A necessidade de utilizar métodos de ligação entre componentes de forma mais rápida, eficaz e com melhores resultados, tem causado a crescente utilização das juntas adesivas, em detrimento dos métodos tradicionais de ligação tais como a soldadura, brasagem, ligações aparafusadas e rebitadas. A utilização das juntas adesivas tem vindo a aumentar em diversas aplicações industriais por estas apresentarem vantagens das quais se destacam a redução de peso, redução de concentrações de tensões e facilidade de fabrico. No entanto, também apresentam desvantagens, como a necessidade de preparação das juntas e o descentramento da carga aplicada que provoca efeitos de flexão, os quais dão origem a tensões normais na direcção da espessura do adesivo (tensões de arrancamento), afectando assim a resistência da junta. A combinação da ligação adesiva com a soldadura por pontos permite algumas vantagens em comparação com as juntas adesivas tradicionais como a maior resistência, aumento da rigidez, melhor resistência ao corte e arrancamento e também à fadiga. Neste trabalho é apresentado um estudo experimental e numérico de juntas de sobreposição simples adesivas e híbridas (adesivas-soldadas). Os adesivos utilizados são o Araldite AV138®, apresentado como sendo frágil, e os adesivos Araldite 2015® e Sikaforce® 7752, intitulados como adesivos dúcteis. Foram considerados substratos de aço (C45E) em juntas com diferentes comprimentos de sobreposição ( ), que foram sujeitas a esforços de tracção. Foi realizada uma análise dos valores experimentais e efectuada uma comparação destes valores com os resultados obtidos por Elementos Finitos (EF) no software ABAQUS®, que incluiu uma análise de tensões na camada de adesivo e previsão do comportamento das juntas por Modelos de Dano Coesivo (MDC). A análise por MDC permitiu obter os modos de rotura, as curvas força-deslocamento e a resistência das juntas com bastante precisão, com excepção das juntas coladas com o adesivo Sikaforce® 7752. Estes resultados permitiram validar a técnica de modelação proposta para as juntas coladas e híbridas, o que representa uma base para posterior aplicação desta técnica em projecto, com as vantagens decorrentes da redução do tempo de projecto e maior facilidade de optimização.

Data Extraction Tool to Analyse, Transform and Store Real Data from Electricity Markets

The study of electricity markets operation has been gaining an increasing importance in the last years, as result of the new challenges that the restructuring process produced. Currently, lots of information concerning electricity markets is available, as market operators provide, after a period of confidentiality, data regarding market proposals and transactions. These data can be used as source of knowledge to define realistic scenarios, which are essential for understanding and forecast electricity markets behavior. The development of tools able to extract, transform, store and dynamically update data, is of great importance to go a step further into the comprehension of electricity markets and of the behaviour of the involved entities. In this paper an adaptable tool capable of downloading, parsing and storing data from market operators’ websites is presented, assuring constant updating and reliability of the stored data.

An automatic tool to Extract, Transform and Load data from real electricity markets

The study of Electricity Markets operation has been gaining an increasing importance in the last years, as result of the new challenges that the restructuring produced. Currently, lots of information concerning Electricity Markets is available, as market operators provide, after a period of confidentiality, data regarding market proposals and transactions. These data can be used as source of knowledge, to define realistic scenarios, essential for understanding and forecast Electricity Markets behaviour. The development of tools able to extract, transform, store and dynamically update data, is of great importance to go a step further into the comprehension of Electricity Markets and the behaviour of the involved entities. In this paper we present an adaptable tool capable of downloading, parsing and storing data from market operators’ websites, assuring actualization and reliability of stored data.

Aplicação de métodos numéricos avançados para a previsão de resistência de ligações adesivas

Com a necessidade de encontrar uma forma de ligar componentes de forma mais vantajosa, surgiram as ligações adesivas. Nos últimos anos, a utilização de juntas adesivas em aplicações industriais tem vindo a aumentar, substituindo alguns métodos de ligação tradicionais, por apresentarem vantagens tais como, redução de concentração de tensões, reduzido peso e facilidade de processamento/fabrico. O seu estudo permite prever a sua resistência e durabilidade. Este trabalho refere-se ao estudo de juntas de sobreposição simples (JSS), nas quais são aplicados os adesivos comerciais que variam desde frágeis e rígidos, como o caso do Araldite® AV138, até adesivos mais dúcteis, como o Araldite® 2015 e o Sikaforce® 7888. Estes são aplicados em substratos de alumínio (AL6082-T651) em juntas com diferentes geometrias e diferentes comprimentos de sobreposição (L), sendo sujeitos a esforços de tracção. Foi feita uma análise dos valores experimentais fornecidos e uma posterior comparação destes com diferentes métodos numéricos baseados em Elementos Finitos (EF). A comparação foi feita por uma análise de Modelos de Dano Coesivo (MDC) e segundo os critérios baseados em tensões e deformações do Método de Elementos Finitos Extendido (MEFE). A utilização destes métodos numéricos capazes de simular o comportamento das juntas poderá levar a uma poupança de recursos e de tempo. A análise por MDC revelou que este método é bastante preciso, excepto para os adesivos que sejam bastante dúcteis. A aplicação de uma outra lei coesiva pode solucionar esse problema. Por sua vez a análise por MEFE demonstrou que esta técnica não é particularmente adequada para o crescimento de dano em modo misto e, comparativamente com o MDC, a sua precisão é bastante inferior.

Application of Continuous Wavelet Transform to the Analysis of the Modulus of the Fractional Fourier Transform Bands for Resolving Two Component Mixture

In this paper, the fractional Fourier transform (FrFT) is applied to the spectral bands of two component mixture containing oxfendazole and oxyclozanide to provide the multicomponent quantitative prediction of the related substances. With this aim in mind, the modulus of FrFT spectral bands are processed by the continuous Mexican Hat family of wavelets, being denoted by MEXH-CWT-MOFrFT. Four modulus sets are obtained for the parameter a of the FrFT going from 0.6 up to 0.9 in order to compare their effects upon the spectral and quantitative resolutions. Four linear regression plots for each substance were obtained by measuring the MEXH-CWT-MOFrFT amplitudes in the application of the MEXH family to the modulus of the FrFT. This new combined powerful tool is validated by analyzing the artificial samples of the related drugs, and it is applied to the quality control of the commercial veterinary samples.

Efficient Legendre spectral tau algorithm for solving two-sided space-time Caputo fractional advection-dispersion equation

In this paper we present the operational matrices of the left Caputo fractional derivative, right Caputo fractional derivative and Riemann–Liouville fractional integral for shifted Legendre polynomials. We develop an accurate numerical algorithm to solve the two-sided space–time fractional advection–dispersion equation (FADE) based on a spectral shifted Legendre tau (SLT) method in combination with the derived shifted Legendre operational matrices. The fractional derivatives are described in the Caputo sense. We propose a spectral SLT method, both in temporal and spatial discretizations for the two-sided space–time FADE. This technique reduces the two-sided space–time FADE to a system of algebraic equations that simplifies the problem. Numerical results carried out to confirm the spectral accuracy and efficiency of the proposed algorithm. By selecting relatively few Legendre polynomial degrees, we are able to get very accurate approximations, demonstrating the utility of the new approach over other numerical methods.

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.

Towards a classification scheme for musical sounds

Signal Processing: Algorithms, Architectures, Arrangements, and Applications (SPA), 2013