On the dynamics of viscous masonry beams

0442883 - MÚ 2016 RIV DE eng J - Journal Article
Lucchesi, M. - Pintucchi, B. - Šilhavý, Miroslav - Zani, N.
On the dynamics of viscous masonry beams.
Continuum Mechanics and Thermodynamics. Roč. 27, č. 3 (2015), s. 349-365. ISSN 0935-1175. E-ISSN 1432-0959
R&D Projects: GA ČR GA201/09/0473
Institutional support: RVO:67985840
Keywords : non-linear dynamics * no-tension material * masonry slender towers and arches * coupling phenomena * Galerkin method
Subject RIV: BA - General Mathematics
Impact factor: 1.849, year: 2015
http://link.springer.com/article/10.1007%2Fs00161-014-0352-y

In this paper, we consider the longitudinal and transversal vibrations of the masonry beams and arches. The basic motivation is the seismic vulnerability analysis of masonry structures that can be modeled as monodimensional elements. The Euler--Bernoulli hypothesis is employed for the system of forces in the beam. The axial force and the bending moment are assumed to consist of the elastic and viscous parts. The elastic part is described by the no--tension material, i.e., the material with no resistance to tension and which accounts for the cases of limitless, as well as bounded compressive Orlandi and Zani. The viscous part amounts to the Kelvin--Voigt damping depending linearly on the time derivatives of the linearized strain and curvature. The dynamical equations are formulated and a mathematical analysis of them is presented.
Permanent Link: http://hdl.handle.net/11104/0245691