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An Equivalent Viscous Damping Proposal for Block-based Rocking Models

An Equivalent Viscous Damping Proposal for Block-based Rocking Models

Conference Paper
COMPDYN 2021 - Computational Methods in Structural Dynamics and Earthquake Engineering
Date
July 13, 2021
Authors
G. Vlachakis, C. Colombo, A. I. Giouvanidis, A. Mehrotra, N. Savalle, P. B. Lourenço
Highlights
ABSTRACT

Masonry structures have been observed to display a high vulnerability to failure under seis-mic action. This stems from the fact that their structural configurations usually lack adequate connections among the distinct elements, resulting in the formation of local mechanisms ex-periencing Out-Of-Plane (OOP) collapse. In this context, rocking dynamics has proven to be a valuable methodology for the analysis of masonry walls. Classical rocking theory can pro-vide a fast solution to the dynamic phenomena taking place if simple configurations are exam-ined. Nevertheless, as the degrees of freedom and the boundary conditions increase, the complexity increases, and thus the classical rocking theory becomes impractical. In the mean-time, recent developments in computational modelling of masonry structures are gaining sig-nificant attraction. This includes block-based models which inherently consider the complexity of the problem and enable the solution to be obtained easily in the discretised spa-tial and time domains. However, despite their widespread use, applications of such models usually lack a reliable treatment of damping.
The present work attempts to bridge the gap between the well-established energy loss of the classical rocking theory and the treatment of damping of block-based computational models. To do so, the dynamics of the problem are reviewed and an equivalent viscous damping model is proposed. A unilateral dashpot formulation allows the replication of the impulsive nature of the energy loss at impact. Afterwards, a calibration methodology is adopted for the practical range of the problem’s parameters and a ready-to-use equation is provided, which respects energy equivalence. The performance of the proposed damping model is also evaluated through comparisons with experimental results.