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Proceedings Paper

Nonlinear vibration and bifurcation analysis of simply supported beam laminated with superelastic shape memory alloy (SMA) layers
Author(s): Zhenhua Zhang; Zhiqiang Wu
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Paper Abstract

The amplitude-frequency response of the simple supported SMA laminated beam under harmonic excitation is studied. The nonlinear dynamic equation of the beam was constructed in the authors' recent researches, in which the generalized restoring force caused by SMA layers is the piecewise function of state variable. The dynamics equation of the beam is solved by average method at first, and the amplitude-frequency response equation with piecewise characteristics is obtained. Finally, the constrained bifurcation theory is introduced to study the relationship between the responses and the parameters of the system. Through calculation, it is found that there are 10 qualitatively different kinds of amplitudefrequency response curves corresponding to 10 regions in the parameter space which is composed by the amplitude of harmonic excitation and elastic modulus of substrate. The results can guide directly the design of the SMA laminated beams to make them vibrating as the desirable mode.

Paper Details

Date Published: 2 April 2012
PDF: 9 pages
Proc. SPIE 8409, Third International Conference on Smart Materials and Nanotechnology in Engineering, 840903 (2 April 2012); doi: 10.1117/12.922052
Show Author Affiliations
Zhenhua Zhang, Tianjin Univ. (China)
Nanyang Institute of Technology (China)
Zhiqiang Wu, Tianjin Univ. (China)


Published in SPIE Proceedings Vol. 8409:
Third International Conference on Smart Materials and Nanotechnology in Engineering
Jinsong Leng; Yoseph Bar-Cohen; In Lee; Jian Lu, Editor(s)

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