Nonlinear oscillator model for the vortex-induced vibration of a cylinder

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (18) : 48-58.

KANG Zhuang,ZHANG Cheng,FU Sen,XU Xiang

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Abstract

To predict the amplitude response and other important characters of the vortex-induced vibration of a cylinder quickly and accurately, a high order nonlinear oscillator model was proposed.Based on the Lagrange second dynamic equations and the Taylor expansion formula, the vibration equation of the cylinder fixed by four symmetrical springs was derived, where the axial tensile nonlinearity and coupling nonlinearity were considered.Then, the fluctuating lift and drag in the vortex-induced vibration were obtained in accordance with the discrete point vortex theory, and the mathematical quantified relationship between the fluid forces was established.The improved Van der Pol equation was used to simulate the fluid oscillator, and then the coupling equations of the nonlinear structure and fluid oscillators were established.On this basis, the vortex-induced vibration for cylinders with different mass ratio and damping ratio was predicated, and the results were compared with testing data to verify the correctness and universality of the model.Finally the sensitivity of the parameters in model was analysed.

Key words

vortex-induced vibration / oscillator model / nonlinear / coupling

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KANG Zhuang,ZHANG Cheng,FU Sen,XU Xiang. Nonlinear oscillator model for the vortex-induced vibration of a cylinder[J]. Journal of Vibration and Shock, 2018, 37(18): 48-58

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