Nonlinear vibration of axially moving and spinning pipes conveying fluid

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (13) : 178-183.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Nonlinear vibration of axially moving and spinning pipes conveying fluid

JIANG Xuan1, TANG Youqi*1, MAO Yongheng2

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Abstract

The tool of the deep hole machining system and the drill tool of the petroleum drilling system can be modeled as spinning and axially moving pipes conveying fluid. They are widely used in the fields of military industry, new energy equipment, aerospace, and other high-tech fields. In order to comprehensively evaluate the influence of internal and external circulation on the system stability, an innovative spinning and axially moving pipes conveying fluid model is proposed in this paper. The model combines viscoelasticity, geometric nonlinearity, and double gyroscopic effect. The partial differential equation is simplified to an ordinary differential equation by the Galerkin method, which reduces the difficulty of the solution. The time domain response, phase analysis, frequency spectrum, and Poincaré map of the system are analyzed by the Runge-Kutta algorithm. The dynamic behavior of the system such as bifurcation and chaos are discussed in detail. The results indicate that the vibration of the pipeline system is highly sensitive to the amplitude coefficient and frequency of internal flow pulsations.

Key words

Internal and external circulation / pipe conveying fluid / double gyroscopic effect / nonlinearity / Galerkin method

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JIANG Xuan1, TANG Youqi1, MAO Yongheng2. Nonlinear vibration of axially moving and spinning pipes conveying fluid[J]. Journal of Vibration and Shock, 2025, 44(13): 178-183

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