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

机译：关于单个刚性块结构摇摆运动的动力学

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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 repeatability of the results and stability of the rocking motion response. Two different tools for the numerical simulations of the rocking motion of rigid blocks are considered. The first tool is analytical and overcomes the usual limitations of the traditional piecewise equations of motion through a Lagrangian formalism. The second tool is based on the discrete element method (DEM), especially effective for the numerical modeling of rigid blocks. A new methodology is proposed for finding the parameters of the DEM by using the parameters of the classical theory. An extensive comparison between numerical and experimental data has been carried out to validate and define the limitations of the analytical tools under study.
机译：本文描述了在动态载荷下单个刚性块结构的行为。进行了全面的实验研究，研究了四种具有不同几何特征的蓝色花岗岩在自由振动，基座的谐波和随机运动下的摇摆响应。为了解决结果的可重复性和摇摆运动响应的稳定性问题，总共在振动台上进行了275次测试。考虑了两种不同的工具，用于对刚性块的摇摆运动进行数值模拟。第一个工具是分析工具，通过拉格朗日形式主义克服了传统分段运动方程式的通常局限性。第二种工具基于离散元方法（DEM），对刚性块的数值建模特别有效。提出了一种利用经典理论的参数寻找DEM参数的新方法。数值和实验数据之间进行了广泛的比较，以验证和定义所研究的分析工具的局限性。

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