Bifurcations and Crises in a Shape Memory Oscillator
The remarkable properties of shape memory alloys have been motivating the interest in applications in different areas varying from biomedical to aerospace hardware. The dynamical response of systems composed by shape memory actuators presents nonlinear characteristics and a very rich behavior, showi...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2004/717986 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849309024666779648 |
|---|---|
| author | Luciano G. Machado Marcelo A. Savi Pedro M.C.L. Pacheco |
| author_facet | Luciano G. Machado Marcelo A. Savi Pedro M.C.L. Pacheco |
| author_sort | Luciano G. Machado |
| collection | DOAJ |
| description | The remarkable properties of shape memory alloys have been motivating the interest in applications in different areas varying from biomedical to aerospace hardware. The dynamical response of systems composed by shape memory actuators presents nonlinear characteristics and a very rich behavior, showing periodic, quasi-periodic and chaotic responses. This contribution analyses some aspects related to bifurcation phenomenon in a shape memory oscillator where the restitution force is described by a polynomial constitutive model. The term bifurcation is used to describe qualitative changes that occur in the orbit structure of a system, as a consequence of parameter changes, being related to chaos. Numerical simulations show that the response of the shape memory oscillator presents period doubling cascades, direct and reverse, and crises. |
| format | Article |
| id | doaj-art-05dd55493b224e54ae1d2aef3003ce09 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-05dd55493b224e54ae1d2aef3003ce092025-08-20T03:54:16ZengWileyShock and Vibration1070-96221875-92032004-01-01112678010.1155/2004/717986Bifurcations and Crises in a Shape Memory OscillatorLuciano G. Machado0Marcelo A. Savi1Pedro M.C.L. Pacheco2Instituto Militar de Engenharia, Department of Mechanical and Materials Engineering, 22.290.270, Rio de Janeiro, RJ, BrazilUniversidade Federal do Rio de Janeiro, COPPE, Department of Mechanical Engineering, 21.945.970, Rio de Janeiro, RJ, Caixa Postal 68.503, BrazilCEFET/RJ, Department of Mechanical Engineering, 20.271.110, Rio de Janeiro, RJ, BrazilThe remarkable properties of shape memory alloys have been motivating the interest in applications in different areas varying from biomedical to aerospace hardware. The dynamical response of systems composed by shape memory actuators presents nonlinear characteristics and a very rich behavior, showing periodic, quasi-periodic and chaotic responses. This contribution analyses some aspects related to bifurcation phenomenon in a shape memory oscillator where the restitution force is described by a polynomial constitutive model. The term bifurcation is used to describe qualitative changes that occur in the orbit structure of a system, as a consequence of parameter changes, being related to chaos. Numerical simulations show that the response of the shape memory oscillator presents period doubling cascades, direct and reverse, and crises.http://dx.doi.org/10.1155/2004/717986 |
| spellingShingle | Luciano G. Machado Marcelo A. Savi Pedro M.C.L. Pacheco Bifurcations and Crises in a Shape Memory Oscillator Shock and Vibration |
| title | Bifurcations and Crises in a Shape Memory Oscillator |
| title_full | Bifurcations and Crises in a Shape Memory Oscillator |
| title_fullStr | Bifurcations and Crises in a Shape Memory Oscillator |
| title_full_unstemmed | Bifurcations and Crises in a Shape Memory Oscillator |
| title_short | Bifurcations and Crises in a Shape Memory Oscillator |
| title_sort | bifurcations and crises in a shape memory oscillator |
| url | http://dx.doi.org/10.1155/2004/717986 |
| work_keys_str_mv | AT lucianogmachado bifurcationsandcrisesinashapememoryoscillator AT marceloasavi bifurcationsandcrisesinashapememoryoscillator AT pedromclpacheco bifurcationsandcrisesinashapememoryoscillator |