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Shock and Vibration
Volume 2017, Article ID 7591749, 11 pages
Research Article

Vibration Analysis for Monitoring of Ancient Tie-Rods

Department of Engineering and Architecture, University of Parma, Viale Delle Scienze 181/A, 43124 Parma, Italy

Correspondence should be addressed to K. Riabova; moc.liamg@avobair.ainesk

Received 26 April 2017; Accepted 20 June 2017; Published 20 August 2017

Academic Editor: Pedro Galvín

Copyright © 2017 L. Collini et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents an application of vibration analysis to the monitoring of tie-rods. An algorithm for the axial load estimation based on experimentally measured natural frequencies is introduced and its application to a case study is reported. The proposed model of a tie-rod incorporates elastic bed-type boundary conditions that represent the contact between stonework and the tie-rod. The weighed differences between experimentally and numerically determined frequencies are minimized with respect to the parameters of the model, the main being the axial load and the stiffness at the tie-rod/wall interface. Thus, the multidimensional optimization problem is solved. Results are analysed in comparison to a model with simple fixed-end boundary conditions. In addition, the analytical formulation of the problem is delivered.