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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 3919438, 7 pages
Research Article

A Good Earthquake Concave Behaviour of a Seismic Isolator Which Supports a Metallic Roof

1Technical University of Civil Engineering, București, Romania
2Department of Mathematics, University of Craiova, 200585 Craiova, Romania

Correspondence should be addressed to Ionel RovenĊ£a

Received 12 July 2017; Accepted 18 October 2017; Published 6 November 2017

Academic Editor: Zhen-Lai Han

Copyright © 2017 Iancu Durău 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.


We combine some important theoretical mathematical results with practical aspects from engineering in a nice framework of -spiders, which forms a space with global nonpositive curvature. Some concavity properties into such framework are derived. As an application, we consider a mathematical model for an engineering problem. More precisely, we are trying to model the behaviour of tension forces appearing in a metallic roof supported on seismic isolators. In fact, we are looking to find the properties of good seismic isolators in order to reduce the destructive power of an earthquake. The answer consists of a concave behaviour in terms of the displacements on the 3D axes of the Cartesian system.