Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator

被引：1

作者：

Iwaniec, Joanna ^{[1
]}

Litak, Grzegorz ^{[2
]}

Bernardini, Davide ^{[3
]}

Savi, Marcelo A. ^{[4
]}

机构：

[1] AGH Univ Sci & Technol, Fac Mech Engn & Robot, Dept Robot & Mechatron, Mickiewicz Alley 30, PL-30059 Krakow, Poland

[2] AGH Univ Sci & Technol, Fac Mech Engn & Robot, Dept Proc Control, Mickiewicz Alley 30, PL-30059 Krakow, Poland

[3] Univ Rome Sapienza, Dept Struct & Geotech Engn, Via Antonio Gramsci 53, I-00192 Rome, Italy

[4] Univ Fed Rio de Janeiro, COPPE Mech Engn, Ctr Nonlinear Mech, Rio De Janeiro, RJ, Brazil

来源：

II INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN ENGINEERING SCIENCE (CMES'17) | 2017年 / 15卷

关键词：

DISSIPATION FUNCTIONS; STRANGE ATTRACTORS; TIME-SERIES; PLOTS; SYSTEMS; BEHAVIOR; ROBUSTNESS; DYNAMICS; STRENGTH;

D O I：

10.1051/itmconf/20171505013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The recurrence analysis is a promising tool for diagnostics of periodic and chaotic solutions, as well as identifying bifurcations. This paper deals with the application of this analysis for the first time to identify regular and non-regular motions of a superelastic shape memory alloy oscillator. The numerical analyses show that the method is capable of distinguishing periodic and chaotic trajectories. Recurrence quantities are applied, showing that different approaches are possible to establish the distinction between periodic and chaotic signals. Basically, recurrence entropy, trapping time, and characteristic recurrence time are considered.

引用

页数：7

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