Dynamical response of a rocking rigid block

This paper investigates the complex dynamical behavior of a rigid block structure under harmonic ground excitation, thereby mimicking, for instance, oscillation system seismic excitation or containers placed on ship periodic acting sea waves. The equations motion are derived, assuming large frictional coefficient at interface between and ground, in such way that sliding cannot occur. In addition, mathematical model assumes loss kinetic energy when an impact with takes place. resulting is then formulated studied framework impulsive systems. Its response detail using two different approaches, based direct numerical integration path-following techniques, where latter implemented via continuation platform COCO (Dankowicz Schilder). Our study reveals presence various phenomena, as branching points, fold period-doubling bifurcation limit cycles, symmetric asymmetric responses, chaotic motions. By basin stability method, we also investigate properties solutions their ranges existence phase parameter spaces. Moreover, considers conditions leading to overturning shows regions wherein can be avoided.