Bistability and accompanying phenomena in the 1-DOF mathematical model of rolling

The bistability areas identification procedure is described. Examples of bistability areas are determined for ships with softening and hardening spring of the GZ curve and an analysis of amplitude jumps is presented. The bistability origin point is identified. The simplified analysis of the influence of damping on the extent and location of bistability areas is performed. All results presented in paper were obtained for a 1-DOF rolling model.