Rocking vibration with friction

The rocking vibration with friction is focused in this study. The fall down conditions of the rocking system with friction are clarified. Rocking vibration is the rotational motion around the both ends of the structure and occurs when the structure is excited. In this report, the behavior of single-degree-of-freedom rocking system and two-degree-of-freedom rocking system with friction are taken into consideration. An analysis model is proposed and the response is calculated in the case that the structure is excited by sinusoidal wave and seismic wave. In order to estimate the parameters to prevent the fall down in a simple manner, two state judgement maps are proposed. One is the “Input variation map” focusing on the parameters of input sinusoidal wave and the other is the “Form variation map” focusing on the parameters of the structure form. From the analysis results, it was possible to clarify the basic characteristics of the rocking vibration with friction from the aspect of the input waves and the dimensions of the structure.