2 April 2012 Nonlinear vibration and bifurcation analysis of simply supported beam laminated with superelastic shape memory alloy (SMA) layers
Author Affiliations +
Proceedings Volume 8409, Third International Conference on Smart Materials and Nanotechnology in Engineering; 840903 (2012) https://doi.org/10.1117/12.922052
Event: Third International Conference on Smart Materials and Nanotechnology in Engineering, 2011, Shenzhen, China
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.
© (2012) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Zhenhua Zhang, Zhiqiang Wu, "Nonlinear vibration and bifurcation analysis of simply supported beam laminated with superelastic shape memory alloy (SMA) layers", Proc. SPIE 8409, Third International Conference on Smart Materials and Nanotechnology in Engineering, 840903 (2 April 2012); doi: 10.1117/12.922052; https://doi.org/10.1117/12.922052
PROCEEDINGS
9 PAGES


SHARE
Back to Top