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Article

An Equivalent Non-Uniform Beam-Like Model for Dynamic Analysis of Multi-Storey Irregular Buildings

1
Department of Civil Engineering and Architecture, University of Catania, via Santa Sofia 64, 95123 Catania, Italy
2
Institute of Environmental Geology and Geoengineering, Italian National Research Council (CNR), 00015 Rome, Italy
3
Department of Civil Protection-Seismic Risk Office, 00189 Rome, Italy
*
Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(9), 3212; https://doi.org/10.3390/app10093212
Received: 24 February 2020 / Revised: 28 April 2020 / Accepted: 30 April 2020 / Published: 5 May 2020
(This article belongs to the Special Issue Homogenization Methods in Materials and Structures)
Dynamic analyses and seismic assessments of multi-storey buildings at the urban level require large-scale simulations and computational procedures based on simplified but accurate numerical models. For this aim, the present paper proposes an equivalent non-uniform beam-like model, suitable for the dynamic analysis of buildings with an asymmetric plan and non-uniform vertical distribution of mass and stiffness. The equations of motion of this beam-like model, which presents only shear and torsional deformability, were derived through the application of Hamilton’s principle. The linear dynamic behaviour was evaluated by discretizing the continuous non-uniform model according to a Rayleigh–Ritz approach based on a suitable number of modal shapes of the uniform shear-torsional beam. In spite of its simplicity, the model is able to reproduce the dynamic behaviour of low- and mid-rise buildings with a significant reduction of the computational burden with respect to that required by more general models. The efficacy of the proposed approach was tested, by means of comparisons with linear Finite Element Model (FEM) simulations, on three multi-storey buildings characterized by different irregularities. The satisfactory agreement, in terms of natural frequencies, modes of vibration and seismic response, proves the capability of the proposed approach to reproduce the dynamic response of complex spatial multi-storey frames. View Full-Text
Keywords: beam-like model; dynamic analysis; Rayleigh–Ritz; shear torsional beam; FEM models beam-like model; dynamic analysis; Rayleigh–Ritz; shear torsional beam; FEM models
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MDPI and ACS Style

Greco, A.; Fiore, I.; Occhipinti, G.; Caddemi, S.; Spina, D.; Caliò, I. An Equivalent Non-Uniform Beam-Like Model for Dynamic Analysis of Multi-Storey Irregular Buildings. Appl. Sci. 2020, 10, 3212. https://doi.org/10.3390/app10093212

AMA Style

Greco A, Fiore I, Occhipinti G, Caddemi S, Spina D, Caliò I. An Equivalent Non-Uniform Beam-Like Model for Dynamic Analysis of Multi-Storey Irregular Buildings. Applied Sciences. 2020; 10(9):3212. https://doi.org/10.3390/app10093212

Chicago/Turabian Style

Greco, Annalisa, Ilaria Fiore, Giuseppe Occhipinti, Salvatore Caddemi, Daniele Spina, and Ivo Caliò. 2020. "An Equivalent Non-Uniform Beam-Like Model for Dynamic Analysis of Multi-Storey Irregular Buildings" Applied Sciences 10, no. 9: 3212. https://doi.org/10.3390/app10093212

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