The paper presents numerical research of a reconstructed middle ear system using the element made of shape memory alloy. The material is modelled based on a hysteretic nonlinear theory where strain rate is taken into account. Bifurcation analysis of the system reveals different kinds of solutions starting from regular and ending with chaotic vibrations depending on external excitation.
REFERENCES
1.
A.
Paiva
and M. A.
Savi
, Mathematical Problems in Engineering
2006
, 1
–31
(2006
).2.
K. O.
Tanaka
and S. O.
Nagaki
, Ingenieur Archiv.
51
, 287
–299
(1982
).3.
C.
Liang
and C. A.
Rogers
, Journal of Intelligent Material Systems and Structures
1
, 207
–234
(1990
).4.
L. C.
Brinson
, Journal of Intelligent Material Systems and Structures
4
, 229
–242
(1993
).5.
F.
Falk
, Acta Metallurgica
28
, 1773
–1780
(1980
).6.
7.
M.
Frémond
and S.
Miyazaki
, Shape memory alloys, CISM courses and lectures
, Vol. no. 351
(Springer
, Wien and New York
, 1996
).8.
A.
Paiva
, M. A.
Savi
, A. M. B.
Braga
, and Pacheco
, Pedro Manuel Calas
Lopes
, International Journal of Solids and Structures
42
, 3439
–3457
(2005
).9.
M. A.
Savi
and A. M. B.
Braga
, Journal of the Brazilian Society of Mechanical Sciences and Engineering
15
, 1
–20
(1993
).10.
M. A.
Savi
, P. M.
Pacheco
, and A. M.
Braga
, International Journal of Non-Linear Mechanics
37
, 1387
–1395
(2002
).11.
L. G.
Machado
, International Journal of Solids and Structures
40
, 5139
–5156
(2003
).12.
L. G.
Machado
, M. A.
Savi
, and P.
Pacheco
, Shock and Vibration
11
, 67
–80
(2004
).13.
Z. J.
Shang
and Z. M.
Wang
, Advanced Materials Research
250-253
, 3958
–3964
(2011
).14.
H. S.
Oliveira
, A. S. d.
Paula
, and M. A.
Savi
, Shock and Vibration
2014
, 1
–10
(2014
).15.
B.
Carboni
and W.
Lacarbonara
, Nonlinear Dynamics
83
, 23
–39
(2016
).16.
V.
Piccirillo
, J. M.
Balthazar
, and B. R.
Pontes
, Nonlinear Dynamics
59
, 733
–746
(2010
).17.
V.
Piccirillo
, J. M.
Balthazar
, and B. R.
Pontes
, Nonlinear Dynamics
60
, 513
–524
(2010
).18.
Z.-W.
Zhu
, Y. N.
Liu
, J.
Xu
, and H.-L.
Wang
, eds., Modeling and Application of Shape Memory Alloy Based on Hysteretic Nonlinear Theory and Data Mining
(2008
).19.
R.
Rusinek
, M.
Szymanski
, and J.
Warminski
, Journal of Computational and Nonlinear Dynamics
12
, 061013–1
–061013–9
(2017
).20.
R.
Rusinek
, J.
Warminski
, M.
Szymanski
, K.
Kecik
, and K.
Kozik
, International Journal of Mechanical Sciences
127
, 163
–175
(2017
).21.
J.
Latalski
and R.
Rusinek
, The European Physical Journal Plus
132
, p. 645
(2017
).
This content is only available via PDF.
© 2017 Author(s).
2017
Author(s)
