Pathfollowing of high-dimensional hysteretic systems under periodic forcing

The dynamic response and bifurcations of high-dimensional systems endowed with hysteretic restoring forces in all degrees of freedom are investigated. Two types of hysteresis models are considered, namely the Bouc-Wen model and a differential version of the so-called exponential model of hysteresis. The numerical technique tailored for tackling high-dimensional hysteretic systems is based on an enhanced pathfollowing approach based on the Poincare map. In particular, a five-dof mass-spring-damper-like system, with each rheological element described by the Bouc-Wen or the exponential model of hysteresis enriched by cubic and quintic nonlinear elastic terms, is investigated and a rich variety of nonlinear responses and bifurcations is found and discussed.

Automated summary

The dynamic response and bifurcations of high-dimensional systems with hysteretic restoring forces in all degrees of freedom are investigated using two hysteresis models. A numerical technique based on an enhanced pathfollowing approach using the Poincare map is employed. A five-dof system with Bouc-Wen or exponential hysteresis models enriched by nonlinear elastic terms is studied, revealing a rich variety of nonlinear responses and bifurcations.