Numerical Block-Based Simulation of Rocking Structures Using a Novel Universal Viscous Damping Model

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Numerical Block-Based Simulation of Rocking Structures Using a Novel Universal Viscous Damping Model
Journal
Journal of Engineering Mechanics
Title
Numerical Block-Based Simulation of Rocking Structures Using a Novel Universal Viscous Damping Model
Authors
G. Vlachakis, A. I. Giouvanidis, A. Mehrotra, P. B. Lourenço
Date
August 25, 2021
ABSTRACT

Unreinforced masonry structures, particularly façade walls, are seismically vulnerable due to their weak connections with adjacent walls, floors, and/or roofs. During an earthquake, such walls formulate local mechanisms prone to out-of-plane collapse. This behavior has been largely investigated using classical rocking theory, which assumes the structure responds as a rigid body undergoing rocking motion, with energy dissipation at impact. Due to the complexity of the problem, however, e.g., number of degrees of freedom or boundary conditions, numerical block-based modeling is gaining momentum. However, numerical models lack a consistent and reliable treatment of the energy loss at impact. This paper bridges the gap between the well-established energy loss of classical rocking theory and the treatment of damping in numerical modeling. Specifically, it proposes an equivalent viscous damping model through novel ready-to-use predictive equations that capture the dissipative phenomena during both one-sided and two-sided planar rocking motion. The results reveal a satisfactory performance of the proposed model through comparisons with experimental results from literature and highlight its universality and robustness through applications of the model in fundamentally different block-based numerical modeling software.