On the Simulation of Rocking Blocks by means of Algorithmic Dissipation
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This contribution discusses a numerical approach to simulate the behaviour of rocking blocks, based on algorithmic dissipation. Rocking blocks are conceived as solid bodies interacting with their base through contact-based zero-thickness interfaces. Employing an implicit time integration scheme with algorithmic dissipation, specifically set for handling contact problems effectively, the method accurately predicts the dissipative behaviour during impacts without the need for damping models. Basically, the extent of algorithmic dissipation is governed by the time step. A numerical investigation is conducted to establish a regression equation for determining the optimal time step. This equation depends on factors such as block size, aspect ratio, contact stiffness, and coefficient of restitution, which is conceived as an independent parameter [1]. The resulting regression equation demonstrates high accuracy and versatility. Comparisons with available experimental tests [2,3] indicate the effectiveness of the approach in simulating both free rocking and harmonic loads, well as seismic-like loading scenarios.
