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 Poincaré 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.

Formica, G., Vaiana, N., Rosati, L., Lacarbonara, W. (2021). Pathfollowing of high-dimensional hysteretic systems under periodic forcing. NONLINEAR DYNAMICS, 103(4), 3515-3528 [10.1007/s11071-021-06374-7].

Pathfollowing of high-dimensional hysteretic systems under periodic forcing

Formica G.
;
2021-01-01

Abstract

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 Poincaré 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.
Formica, G., Vaiana, N., Rosati, L., Lacarbonara, W. (2021). Pathfollowing of high-dimensional hysteretic systems under periodic forcing. NONLINEAR DYNAMICS, 103(4), 3515-3528 [10.1007/s11071-021-06374-7].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/388691
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