Review Article
Volume 1 Issue 1
Triantafyllos Makarios* and Vassilios Lekidis
August 29, 2022
DOI : 10.56831/PSEN-01-002
Abstract
In the present article, an ideal equivalent three Degrees of Freedom (DoF) system of a onebay-bridge (that is supported on elastometallic bearings) that has distributed stiffness and mass along its length is given. From the naturally point of view, the bridge has infinity number of degrees of freedoms, but based on the free vibration study, using partial differential equation, a mathematical ideal Three-Degrees of Freedoms system is obtained, where its ideal mass matrix is analytically written at specific mass locations on the bridge. Thus, using this abovementioned three Degree of Freedom system, the first three fundamental mode-shapes of the real bridge are identifying. Moreover, we consider the 3x3 mass matrix, we can attempt an estimation of the future feasible damages on the bridge, if a known technique for the identification of dynamic characteristics applied. Furthermore, the way of installation of a local network of three uniaxial accelerometers must be compatible with the abovementioned Three-Degrees of Freedom. It is noting worthy, this technique can be applied on bridges, where the sense of concentrated mass is fully absent.
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