This paper discusses the different transitions from periodicity to quasi-periodicity, intermittency and chaos in systems with hysteresis. Three types of hysteresis are considered: the Bouc-Wen law of hysteresis, the Masing law and the pseudoelastic constitutive law typical of shape memory alloys. The first two rate-independent models do not account for heat transfers, while in the third case the thermodynamic transformations are taken into account. It is shown that these systems share similar trends for the loss of stability of the fundamental response to highly nonlinear responses of various kinds. (c) 2012 Published by Elsevier Ltd. Selection and/or Peer-review under responsibility of Takashi Hikihara and Tsutomu Kambe
Nonlinear phenomena in hysteretic systems / Lacarbonara, Walter; Vestroni, Fabrizio. - In: PROCEDIA IUTAM. - ISSN 2210-9838. - ELETTRONICO. - 5:(2012), pp. 69-77. (Intervento presentato al convegno IUTAM Symposium on 50 Years of Chaos - Applied and Theoretical tenutosi a Kyoto, JAPAN nel NOV 28-DEC 02, 2011) [1016/j.piutam.2012.06.010].
Nonlinear phenomena in hysteretic systems
LACARBONARA, Walter;VESTRONI, Fabrizio
2012
Abstract
This paper discusses the different transitions from periodicity to quasi-periodicity, intermittency and chaos in systems with hysteresis. Three types of hysteresis are considered: the Bouc-Wen law of hysteresis, the Masing law and the pseudoelastic constitutive law typical of shape memory alloys. The first two rate-independent models do not account for heat transfers, while in the third case the thermodynamic transformations are taken into account. It is shown that these systems share similar trends for the loss of stability of the fundamental response to highly nonlinear responses of various kinds. (c) 2012 Published by Elsevier Ltd. Selection and/or Peer-review under responsibility of Takashi Hikihara and Tsutomu KambeI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
