From local to global importance measures of uncertainty propagation in composite structures

The influence of uncertainties of input parameters on output response of composite structures is investigated in this paper. In particular, the effects of deviations in mechanical properties, ply angles, ply thickness and on applied loads are studied. The uncertainty propagation and the importance measure of input parameters are analysed using three different approaches: a first-order local method, a Global Sensitivity Analysis (GSA) supported by a variance-based method and an extension of local variance to estimate the global variance over the domain of inputs. Sample results are shown for a shell composite laminated structure built with different composite systems including multi-materials. The importance measures of input parameters on structural response based on numerical results are established and discussed as a function of the anisotropy of composite materials. Needs for global variance methods are discussed by comparing the results obtained from different proposed methodologies. The objective of this paper is to contribute for the use of GSA techniques together with low expensive local importance measures.

Uncertainty propagation in inverse reliability-based design of composite structures

An approach for the analysis of uncertainty propagation in reliability-based design optimization of composite laminate structures is presented. Using the Uniform Design Method (UDM), a set of design points is generated over a domain centered on the mean reference values of the random variables. A methodology based on inverse optimal design of composite structures to achieve a specified reliability level is proposed, and the corresponding maximum load is outlined as a function of ply angle. Using the generated UDM design points as input/output patterns, an Artificial Neural Network (ANN) is developed based on an evolutionary learning process. Then, a Monte Carlo simulation using ANN development is performed to simulate the behavior of the critical Tsai number, structural reliability index, and their relative sensitivities as a function of the ply angle of laminates. The results are generated for uniformly distributed random variables on a domain centered on mean values. The statistical analysis of the results enables the study of the variability of the reliability index and its sensitivity relative to the ply angle. Numerical examples showing the utility of the approach for robust design of angle-ply laminates are presented.

Modeling of the lung impedance using a fractional order ladder network with constant phase elements

The self similar branching arrangement of the airways makes the respiratory system an ideal candidate for the application of fractional calculus theory. The fractal geometry is typically characterized by a recurrent structure. This study investigates the identification of a model for the respiratory tree by means of its electrical equivalent based on intrinsic morphology. Measurements were obtained from seven volunteers, in terms of their respiratory impedance by means of its complex representation for frequencies below 5 Hz. A parametric modeling is then applied to the complex valued data points. Since at low-frequency range the inertance is negligible, each airway branch is modeled by using gamma cell resistance and capacitance, the latter having a fractional-order constant phase element (CPE), which is identified from measurements. In addition, the complex impedance is also approximated by means of a model consisting of a lumped series resistance and a lumped fractional-order capacitance. The results reveal that both models characterize the data well, whereas the averaged CPE values are supraunitary and subunitary for the ladder network and the lumped model, respectively.

Fractional Dynamics of Computer Virus Propagation

We propose a fractional model for computer virus propagation. The model includes the interaction between computers and removable devices. We simulate numerically the model for distinct values of the order of the fractional derivative and for two sets of initial conditions adopted in the literature. We conclude that fractional order systems reveal richer dynamics than the classical integer order counterpart. Therefore, fractional dynamics leads to time responses with super-fast transients and super-slow evolutions towards the steady-state, effects not easily captured by the integer order models.

Estudo e desenvolvimento de uma solução de monitorização estrutural em túneis baseada na tecnologia de redes de Bragg em fibra ótica

Ao longo dos últimos anos, vários esforços e estudos foram feitos com o objetivo de colocar a fibra ótica no mercado, como um sistema preferencial de monitorização das mais diversas obras de Engenharia. Os sensores baseados na tecnologia em fibra ótica apresentam vantagens reconhecidas pelos mais diversos especialistas, sendo atualmente reconhecida como uma das soluções mais eficazes. Na engenharia Civil, a monitorização das grandes obras tem ganho uma importância crescente. Neste contexto, a monitorização de convergências em túneis visa o controlo da respectiva integridade estrutural ao longo da construção e a exploração da obra. Atualmente a solução de monitorização estrutural de túneis utilizada pela FiberSensing é uma solução desenhada em conjunto com a EPOS e o Cegeo (IST), baseada em sensores de Bragg em Fibra Ótica: o SysTunnel. O objetivo do estudo de uma solução alternativa encontra-se no facto do SysTunnel apresentar algumas debilidades no algoritmo de cálculo, sendo para o seu cálculo necessário a introdução de um parâmetro relacionado com o solo envolvente do túnel, facto que introduz incertezas no cálculo das convergências. O presente relatório tem como finalidade documentar o estágio curricular realizado na FiberSensing, entre 01/02/2014 a 31/07/2014. Este estágio teve como objetivo o desenvolvimento de uma solução alternativa de monitorização estrutural baseada na tecnologia das redes de Bragg para a monitorização das convergências em túneis.

Fractional Dynamics of Computer Virus Propagation

We propose a fractional model for computer virus propagation. The model includes the interaction between computers and removable devices. We simulate numerically the model for distinct values of the order of the fractional derivative and for two sets of initial conditions adopted in the literature. We conclude that fractional order systems reveal richer dynamics than the classical integer order counterpart. Therefore, fractional dynamics leads to time responses with super-fast transients and super-slow evolutions towards the steady-state, effects not easily captured by the integer order models.