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Silva, Tiago A. N., M. A. R. Loja, A. Carvalho, Nuno M. M. Maia, and J. I. Barbosa Adaptive Empirical Distributions in the Framework of Inverse Problems (submitted). International Journal of Computational Methods in Engineering Science and Mechanics., 2015. Abstract
Silva, Tiago A. N., and M. A. R. Loja Differential Evolution on the Minimization of Thermal Residual Stresses in Functionally Graded Structures. Eds. Ana Madureira, Cecilia Reis, and Viriato Marques. Vol. 61. Computational Intelligence and Decision Making Trends and Applications, From Intelligent Systems, Control and Automation: Science and Engineering Bookseries, 61. Dordrecht: Springer Netherlands, 2013. Abstract
Silva, Tiago A. N., and Nuno M. M. Maia Error localization in the finite element modelling of structures. 13th International Conference Dynamical Systems - Theory and Applications. Lodz, Poland, 2015. Abstract
Silva, T. A. N., and N. M. M. Maia Estimation of rotational frequency response functions. Eds. Randall J. Allemang. Vol. 6. Conference Proceedings of the Society for Experimental Mechanics Series, 6. Springer International Publishing, 2015. Abstract

© The Society for Experimental Mechanics, Inc. 2015. As it is widely known, in structural dynamic applications, ranging from structural coupling to model updating, the incompatibility between measured and simulated data is inevitable, due to the problem of coordinate incompleteness. Usually, the experimental data from conventional vibration testing is collected at a few translational degrees of freedom (DOF) due to applied forces, using hammer or shaker exciters, over a limited frequency range. Hence, one can only measure a portion of the receptance matrix, few columns, related to the forced DOFs, and rows, related to the measured DOFs. In contrast, by finite element modeling, one can obtain a full data set, both in terms of DOFs and identified modes. Over the years, several model reduction techniques have been proposed, as well as data expansion ones. However, the latter are significantly fewer and the demand for efficient techniques is still an issue. In this work, one proposes a technique for expanding measured frequency response functions (FRF) over the entire set of DOFs. This technique is based upon a modified Kidder’s method and the principle of reciprocity, and it avoids the need for modal identification, as it uses the measured FRFs directly. In order to illustrate the performance of the proposed technique, a set of simulated experimental translational FRFs is taken as reference to estimate rotational FRFs, including those that are due to applied moments.

Silva, T. A. N., M. A. R. Loja, A. Carvalho, N. M. M. Maia, and J. I. Barbosa A global optimization approach based on adaptive populations. 2nd ECCOMAS Thematic International Conference on Numerical and Symbolic Computation: Developments and Applications (SYMCOMP 2015). Faro, Portugal, 2015. Abstract
Silva, Tiago, Maria Loja, Nuno M. M. Maia, and Joaquim Barbosa A hybrid procedure to identify the optimal stiffness coefficients of elastically restrained beams. Vol. 25. International Journal of Applied Mathematics and Computer Science, 25.2., 2015. Abstract

The formulation of a bending vibration problem of an elastically restrained Bernoulli-Euler beam carrying a finite number of concentrated elements along its length is presented. In this study, the authors exploit the application of the differential evolution optimization technique to identify the torsional stiffness properties of the elastic supports of a Bernoulli-Euler beam. This hybrid strategy allows the determination of the natural frequencies and mode shapes of continuous beams, taking into account the effect of attached concentrated masses and rotational inertias, followed by a reconciliation step between the theoretical model results and the experimental ones. The proposed optimal identification of the elastic support parameters is computationally demanding if the exact eigenproblem solving is considered. Hence, the use of a Gaussian process regression as a meta-model is addressed. An experimental application is used in order to assess the accuracy of the estimated parameters throughout the comparison of the experimentally obtained natural frequency, from impact tests, and the correspondent computed eigenfrequency.

Silva, Tiago A. N., Nuno M. M. Maia, Michael Link, and John E. Mottershead Parameter selection and covariance updating. Vol. 70-71. Mechanical Systems and Signal Processing, 70-71., 2016. Abstract
Mottershead, J. E., M. Broggi, H. M. Gomes, Y. Govers, H. H. Khodaparast, M. Link, E. Patelli, and T. A. N. Silva Perspectives on model updating. ICEDyn2015 - International Conference on Structural Engineering Dynamics. Lagos, Portugal, 2015. Abstract
Silva, Tiago A. N., M. A. R. Loja, A. Carvalho, Nuno M. M. Maia, and J. I. Barbosa Probability Distribution Estimation Based on Experimental Variability Using Differential Evolution. 4th International Conference on Engineering Optimization (EngOpt 2014)., 2014. Abstract
Mottershead, John E., Michael Link, Tiago A. N. Silva, Yves Govers, and Hamed Haddad Khodaparast The Sensitivity Method in Stochastic Model Updating. Eds. Jyoti K. Sinha. Vol. 23. Vibration Engineering and Technology of Machinery: Proceedings of VETOMAC X 2014, 23. University of Manchester, UK: Springer International Publishing, 2015. Abstract
Silva, Tiago A. N., A. Carvalho, Nuno M. M. Maia, and John E. Mottershead Uncertainty quantification by fuzzifying an experimental data set. ICEDyn2015 - International Conference on Structural Engineering Dynamics. Lagos, 2015. Abstract