, Volume 51, Issue 11, pp 2813–2826 | Cite as

Dynamics of masonry walls connected by a vibrating cable in a historic structure

  • Vincenzo Gattulli
  • Marco Lepidi
  • Francesco Potenza
  • Umberto Di Sabatino
Nonlinear Dynamics, Identification and Monitoring of Structures


An original parametric model is presented to describe the modal interactions characterizing the linearized free dynamics of a cable–beam system. The structural system is composed by two vertical cantilever beams, connected by a suspended nonlinear cable. A closed form solution is achieved for the linear eigenproblem governing the undamped small-amplitude vibrations. The eigensolution shows a rich scenario of frequency crossing and veering phenomena between global modes, dominated by the beam dynamics, and local modes, dominated by the cable vibrations. Veering phenomena are accompanied by modal hybridization processes. The role played by different parameters is discussed, with focus on the resonance regions. The discussion allows the identification of an updated set of parameters, which offers a satisfying explanation of some unexpected dynamic interactions, observed in the experimental behavior of the masonry walls of the Basilica of Collemaggio, a historic structure heavily damaged by the 2009 L’Aquila earthquake.


Dynamic interaction Cables Frequency veering Experimental dynamics Structural monitoring 



The research leading to these results has received funding from the Italian Government under Cipe resolution n.135 (Dec. 21, 2012), project INnovating City Planning through Information and Communication Technologies.


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Department of Civil, Construction-Architectural and Environmental EngineeringUniversity of L’AquilaL’AquilaItaly
  2. 2.Department of Civil, Chemical and Environmental EngineeringUniversity of GenoaGenoaItaly

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