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Shock and Vibration
Volume 2016, Article ID 8570538, 11 pages
Research Article

Oscillations Control of Rocking-Block-Type Buildings by the Addition of a Tuned Pendulum

1Department of Industrial Engineering, University of Parma, 43100 Parma, Italy
2M. V. Lomonosov Moscow State University, Leninskie Gory 1, Moscow 119991, Russia

Received 31 May 2015; Accepted 20 September 2015

Academic Editor: Chao Tao

Copyright © 2016 Luca 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 study deals with the dynamical evolutions exhibited by a simple mechanical model of building, comprising a parallelepiped standing on a horizontal plane. The main goal is the introduction of a pendulum in order to reduce oscillations. The theoretical part of the work consists of a Lagrange formulation and Galerkin approximation method, and dry friction has also been considered. From the analytical/numerical simulations, we derive some important conclusions, providing us with the tools suitable for the design of absorbers in practical cases.