4 resultados para Numerical integration methods
em Instituto Politécnico do Porto, Portugal
Resumo:
In this work we solve Mathematical Programs with Complementarity Constraints using the hyperbolic smoothing strategy. Under this approach, the complementarity condition is relaxed through the use of the hyperbolic smoothing function, involving a positive parameter that can be decreased to zero. An iterative algorithm is implemented in MATLAB language and a set of AMPL problems from MacMPEC database were tested.
Resumo:
The widespread employment of carbon-epoxy laminates in high responsibility and severely loaded applications introduces an issue regarding their handling after damage. Repair of these structures should be evaluated, instead of their disposal, for cost saving and ecological purposes. Under this perspective, the availability of efficient repair methods is essential to restore the strength of the structure. The development and validation of accurate predictive tools for the repairs behaviour are also extremely important, allowing the reduction of costs and time associated to extensive test programmes. Comparing with strap repairs, scarf repairs have the advantages of a higher efficiency and the absence of aerodynamic disturbance. This work reports on a numerical study of the tensile behaviour of three-dimensional scarf repairs in carbon-epoxy structures, using a ductile adhesive (Araldite® 2015). The finite elements analysis was performed in ABAQUS® and Cohesive Zone Modelling was used for the simulation of damage onset and growth in the adhesive layer. Trapezoidal cohesive laws in each pure mode were used to account for the ductility of the specific adhesive mentioned. A parametric study was performed on the repair width and scarf angle. The use of over-laminating plies covering the repaired region at the outer or both repair surfaces was also tested as an attempt to increase the repairs efficiency. The obtained results allowed the proposal of design principles for repairing composite structures.
Resumo:
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.
Resumo:
Os sistemas de monitorização de estruturas fornecem diversas vantagens, não só no que diz respeito à durabilidade da obra, ao aumento da segurança e do conhecimento relativamente ao comportamento das estruturas ao longo do tempo, à otimização do aspeto estrutural, bem como aos aspetos económicos do processo de construção e manutenção. A monitorização deve realizar-se durante a fase de construção e/ou de exploração da obra para permitir o registo integral do seu comportamento no meio externo. Deve efetuar-se de forma contínua e automática, executando intervenções de rotina para que se possa detetar precocemente sinais de alterações, respetivamente à segurança, integridade e desempenho funcional. Assim se poderá manter a estrutura dentro de parâmetros aceitáveis de segurança. Assim, na presente dissertação será concebido um demonstrador experimental, para ser estudado em laboratório, no qual será implementado um sistema de monitorização contínuo e automático. Sobre este demonstrador será feita uma análise de diferentes grandezas em medição, tais como: deslocamentos, extensões, temperatura, rotações e acelerações. Com carácter inovador, pretende-se ainda incluir neste modelo em sintonia de medição de coordenadas GNSS com o qual se torna possível medir deslocamentos absolutos. Os resultados experimentais alcançados serão analisados e comparados com modelos numéricos. Conferem-se os resultados experimentais de natureza estática e dinâmica, com os resultados numéricos de dois modelos de elementos finitos: um de barras e outro de casca. Realizaram-se diferentes abordagens tendo em conta as características identificadas por via experimental e calculadas nos modelos numéricos para melhor ajuste e calibração dos modelos numéricos Por fim, recorre-se a algoritmos de processamento e tratamento do respetivo sinal com aplicação de filtros, que revelam melhorar com rigor o sinal, de forma a potenciar as técnicas de fusão multisensor. Pretende-se integrar o sinal GNSS com os demais sensores presentes no sistema de monitorização. As técnicas de fusão multisensor visam melhor o desempenho deste potencial sistema de medição, demonstrando as suas valências no domínio da monitorização estrutural.