Transverse forced vibration of axially moving Timoshenko beam at a supercritical speed

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (22) : 1-5.

TAN Xia1, DING Hu1, Chen Li-qun1,2

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Abstract

In this paper, the transverse nonlinear forced vibration of axially moving Timoshenko beam at a supercritical speed is studied under external excitation. In the supercritical region, the standard control equation of gyro system, which under the lateral external incentives, is derived based on the governing equation of transverse nonlinear vibration of axially moving Timoshenko beam. Moreover, the steady-state amplitude frequency response relationship of axially moving Timoshenko beam at a supercritical speed is researched by using Galerkin method. Furthermore, the effects of system parameters on the steady-state amplitude frequency response relationship of Timoshenko beam are considered. Besides, comparisons with Euler-Bernoulli (E-B) beam reveal that the resonance frequency of Timoshenko beam is much lower and the resonance amplitude is higher in the supercritical region.

Key words

Supercritical / axially moving beam / Timoshenko theory / forced vibration / Galerkin method

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TAN Xia1, DING Hu1, Chen Li-qun1,2. Transverse forced vibration of axially moving Timoshenko beam at a supercritical speed[J]. Journal of Vibration and Shock, 2017, 36(22): 1-5

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