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On the dynamics of rocking motion of single rigid–block structures

This paper describes the behavior of single rigid-block structures under dynamic loading. A comprehensive experimental investigation has been carried out to study the rocking response of four blue granite stones with different geometrical characteristics under free vibration, and harmonic and random motions of the base. In total, 275 tests on a shaking table were carried out in order to address the issues of re...

Dynamical behaviour of rigid block structures subjected to earthquake motion

This paper studies the dynamic behaviour of rigid-block structures under seismic behaviour. For this purpose, an experimental investigation has been carried out on the rocking response of single blocks, and ensembles of two and three blocks structures. These structures were subjected to three different base motions: free rocking, harmonic and random excitations. The tests were performed at the seismic table of ...

Numerical simulation of rigid blocks subjected to rocking motion

This paper addresses the numerical modelling of rigid blocks subjected to rocking motion. Two different tools are considered. The first tool is analytical and overcomes the usual limitations of the traditional piecewise equations of motion through Lagrangian formalism. The second tool is based on the Discrete Element Method (DEM), especially effective for the numerical modelling of rigid blocks. An extensive co...

On the rocking behavior of rigid objects

A novel formulation for the rocking motion of a rigid block on a rigid foundation is presented in this work. The traditional piecewise equations are replaced by a single ordinary differential equation. In addition, damping effects are no longer introduced by means of a coefficient of restitution but understood as the presence of impulsive forces. The agreement with the classical formalism is very good for both ...

Verificación experimental da formulación compleja del rocking motion

Impulsive dirac-delta forces in the rocking motion

In this work the classical theory of one block rocking motion is revisited. A Dirac-delta type interaction as impact mechanism is found to be an alternative for the traditional model. Numerical computations with this new formulation have shown that the agreement with the classical theory is excellent for the case of slender blocks and small displacements. Good agreement with experimental data has also been foun...

Analytical solutions for rigid block structures under small displacements regime

The methodology presented in this work combines the theoretical framework developed for the dynamics of coupled rigid elements with the characteristics of rocking motion, in order to reproduce the behaviour of blocky masonry structures un der seismic actions. As an application, a closed kinematic chain structure is analysed for the case of harmonic forcing.