Paper Title:
Nonlinear Forced Vibration for Shape Memory Alloy Spring Oscillator
  Abstract

The recovery force of shape memory alloy spring is described by using polynomial constitutive equation. The nonlinear dynamic model of forced vibration for the shape memory alloy spring oscillator is derived. Numerical simulations are performed by a fourth-order Runge-Kutta method. The bifurcation diagram and Lyapunov-exponent spectrum are presented while the dimensionless temperature, the dimensionless damping coefficient or the dimensionless amplitude of exciting force is varied respectively, thus the bifurcation of the system is investigated. Furthermore, the periodic and chaotic motions of the system are analyzed by means of the displacement time history diagram, the phase portrait, the Poincare section diagram and the power spectrum with different parameters. The results show that the periodic or chaotic motion of the system occur by changing temperature, damping coefficient and amplitude of exciting force, thus the vibration of the system could be controlled.

  Info
Periodical
Advanced Materials Research (Volumes 250-253)
Edited by
Guangfan Li, Yong Huang and Chaohe Chen
Pages
3958-3964
DOI
10.4028/www.scientific.net/AMR.250-253.3958
Citation
Z. J. Shang, Z. M. Wang, "Nonlinear Forced Vibration for Shape Memory Alloy Spring Oscillator", Advanced Materials Research, Vols. 250-253, pp. 3958-3964, 2011
Online since
May 2011
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Price
$32.00
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