Nonlinear vibration of hinged pipes conveying fluid with IHB method

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (20) : 248-253.

WANG Peng1，ZHANG Yongou1，WANG Sheng1，ZHANG Tao1

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Abstract

The nonlinear vibration of simply supported pipes conveying fluid was investigated by the incremental harmonic balance method. The differential equations of motion of simply supported pipes conveying fluid were derived based on the Hamilton principle, considering the influence of the nonlinear constraint and the tip lumped masses. The equations were discretized by Galerkin scheme. The amplitude-frequency characteristics curves of the pipes conveying fluid were obtained by changing the frequency ratio. The effect of the fluid speed, mass ratio, the stiffness of the nonlinear constraint, and the tip lumped masses on the amplitude-frequency characteristics of the pipes conveying fluid were discussed. The results show that the incremental harmonic balance method is an effective method to solve the problem of the nonlinear vibration of the pipes conveying fluid.

Key words

pipes conveying fluid / incremental harmonic balance method / nonlinear constraint / the tip lumped masses

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WANG Peng1，ZHANG Yongou1，WANG Sheng1，ZHANG Tao1. Nonlinear vibration of hinged pipes conveying fluid with IHB method[J]. Journal of Vibration and Shock, 2017, 36(20): 248-253

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