A freestanding rigid block subjected to base excitation can exhibit complicated motion described by five response modes: rest, pure rocking, pure sliding, combined sliding‐rocking, and free flight. Previous studies on the dynamics of a rocking block have assumed that the block does not interact with neighboring objects. However, there are many applications in which the block may start or come in contact with an adjacent boundary during its motion, for example, a bookcase or cabinet colliding with a partition wall in an earthquake. This paper investigates the dynamics of a sliding‐rocking block considering impact with an adjacent wall. A model is developed in which the base and wall are assumed rigid, and impact is treated using the classical impulse and momentum principle. The model is verified by comparing its predictions in numerical simulations against those of an existing general‐purpose rigid‐body model in which impact is treated using a viscoelastic impact model. The developed model is used to investigate the effects of different parameters on the stability of a block subjected to analytical pulse excitations. It is found that wall placement (left or right) has a dominant effect on the shape of the overturning acceleration spectra for pulse excitations. In general, decreasing the gap distance, base friction coefficient, and wall coefficient of restitution enhance the stability of the block. Similar observations are made when evaluating the overturning probability of a block using earthquake floor motions.

中文翻译：

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考虑与相邻墙碰撞的滑移块的动力学

经受基础激励的独立式刚性块可以表现出五种响应模式所描述的复杂运动：静止，纯摇摆，纯滑动，组合滑动-摇摆和自由飞行。先前关于摇摆块动力学的研究假设该块不与相邻物体相互作用。但是，在许多应用中，块在运动过程中可能会开始或与相邻边界接触，例如，在地震中书柜或橱柜与隔墙发生碰撞。本文研究了考虑与相邻墙碰撞的滑动块的动力学。开发了一个模型，在该模型中，假定底壁和墙都是刚性的，并使用经典的脉冲和动量原理处理冲击。通过在数值模拟中将其预测与现有的通用刚体模型（通过使用粘弹性冲击模型处理冲击）进行比较，从而验证了该模型。所开发的模型用于研究不同参数对经过分析脉冲激励的块的稳定性的影响。发现壁的位置（左侧或右侧）对脉冲激励的倾覆加速度谱的形状起主要作用。通常，减小间隙距离，基础摩擦系数和壁恢复系数可提高砌块的稳定性。当使用地震地面运动评估块体的倾覆概率时，也会得到类似的观察结果。