Abstract
Deterministic mechanics has been extensively used by engineers as they
needed models that could predict the behavior of designed structures and
components. However, modern engineering is now shifting to a new approach
where the uncertainty analysis of the model inputs enables to obtain more
accurate results. This paper presents an application of this new approach
in the field of the stress analysis. In this case, a two-dimensional
stress elasticity model is compared with the experimental stress results
of five different size tubes measured with resistive strain gages.
Theoretical and experimental uncertainties have been calculated by means
of the Monte Carlo method and a weighted least square algorithm,
respectively. The paper proposes that the analytical engineering models
have to integrate an uncertainty component considering the uncertainties
of the input data and phenomena observed during the test, that are
difficult to adapt in the analytical model. The prediction will be thus
improved, the theoretical result being much closer to the real case.
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