"Analytical jump-avoidance criteria of Duffing-type vibration isolation" by Shiwei Liu, Gaoliang Peng et al.
As a representative nonlinear system, Duffing oscillator has wide applications in the field of vibration control. This paper concentrates on the analytical jump criteria problem for a class of Duffing systems based on the concave-convex property. The mechanical model of Duffing-type isolators subjected to various excitations is firstly presented. The defined single critical jump point (SCJP) is proved to be an inflection point based on the concave-convex property of the dynamic response. Moreover, the analytical jump-avoidance criteria under base and force excitations are established. The sens...
Source: uow.edu.au