The resonance of parametric vibration with forced vibration of the axially moving shape memory alloy laminated beam

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (10) : 1-7.

HAO Ying1,2，LI Zhe1,2，HU Yuda1,2

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Abstract

In this paper, the resonance of parametric vibration with forced vibration of the axially variable-velocity moving SMA (Shape Memory Alloy) laminated beam under harmonic excitation is investigated. Based on the Falk polynomial constitutive model of SMA, the nonlinear vibration equation of the axially moving SMA laminated beam is derived by combining Timoshenko beam theory. The time and space variables of the equation are discretized by using Galerkin integral method, then the amplitude-frequency response equation of resonance by the combined parametric and forced excitations is derived by multiscale method and coordinate transformation method. According to example analysis, the amplitude-frequency response curves and amplitude-parameter curves of different physical parameters are obtained and the effect of axial velocity, temperature and forced excitations on the resonance characteristics are analyzed. The results reveal that the system exhibits typical nonlinear vibration characteristics and complex dynamic behavior.

Key words

Axially variable moving / laminated Shape Memory Alloy beam / the resonances of parametric vibration with forced vibration / multi-scale method

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HAO Ying1,2，LI Zhe1,2，HU Yuda1,2. The resonance of parametric vibration with forced vibration of the axially moving shape memory alloy laminated beam[J]. Journal of Vibration and Shock, 2023, 42(10): 1-7

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