Uncertainty propagation in inverse reliability-based design of composite structures |
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Authors: | Carlos Conceição António Luísa N Hoffbauer |
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Affiliation: | (1) Faculdade de Engenharia, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;(2) Instituto Superior de Engenharia do Porto, Polytechnic School of Porto, Porto, Portugal |
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Abstract: | 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. |
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