Sensitivity analysis applied to the dynamics of structures by changing the inertial properties

Author:

Villa García Luis ManuelORCID

Abstract

Within the dynamics of structures, sensitivity analysis shows how to achieve the most effective modification to reach a change in the structural behaviour.Usually,  the  modal  model  is  available,  has  a  limited  number  of  vibration  modes;  even  so,  it  is  possible  to  achieve  a  reasonable  approximation  to  estimate the sensitivities of the natural frequencies and the eigenvectors. Throughout the exhibition of the work, we develop an experimental validation of both analytical expressions for determining estimates of modification of modal parameters, i.e., estimates of the variation of the frequency deviation Δωi, and the increase Δ{ψi } the components of each eigenvector, belonging to the mode i.

Publisher

Universidad de Antioquia

Subject

General Engineering

Reference14 articles.

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3. P. Wallack, P. Skoog, M. Richardson. Comparison of Analytical and Experimental Rib Stiffner Modifications to a Structure. Proceedings of the 7th International Modal Analysis Conference (IMAC7). Las Vegas, USA. 1989. pp. 965-973.

4. W. Hielen, S. Lammens, P. Sas. Modal Analysis Theory and Testing. 1ª ed. Ed. Katholieke Universiteit Leuven. Heverlee, Belgium. 1999. pp. 11-35.

5. P. Vanhonacker. “Differential and Difference Sensitivities of Natural Frequencies and Mode Shapes of Mechanical Structures”. AIAA Journal. Vol. 18. 1980. pp. 1511-1514.

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