Modeling of a Shape Memory Alloy Beam and its Stochastic Chaos

Abstract:

The van-der-pol hysteretic cycle was applied to describe the hysteretic nonlinear characteristic of the strain-stress relation of a shape memory alloy (SMA). A new model with nonlinear damping of a simply supported SMA beam was proposed. The Criterions determining the stochastic chaos is obtained by the random Melnikov approach. The numerical results show the effectiveness of the theoretical analysis. Clear fractal boundaries of the system's safe basin is observed.

• Periodical: Applied Mechanics and Materials (Volumes 479-480)
• Pages: 215-219
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.479-480.215
• Online since: December 2013
• Authors: Gen Ge, Jia Xu
• Keywords: Safe Basin Erosion, SMA Beam, Stochastic Chao

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