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<p>Recently, the vibration of multi-span pipes conveying fluid has attracted extensive attention. However, few studies focus on the nonlinear vibration of multi-span pipes joined by rotational joints conveying fluid. In this work, the nonlinear vibration of three rotation-joined pipes conveying pulsating fluid under local excitation is investigated. Taking into account the constraints imposed by the rotational joints, the coupled nonlinear modeling equations for the triple pipes conveying pulsating fluid are derived by the Hamilton principle and the Lagrange multiplier method. These modeling equations are then simplified into coupled Integro-differential and algebraic equations. With the aid of the Galerkin truncation method, the nonlinear vibration characteristics of all three pipes are analyzed. Results show that the motions of all three pipes exhibit quasi-periodic behavior. The influences of velocity fluctuation frequency and external excitation frequency on the frequency-amplitude response of all three pipes have been analyzed at different excitation locations. Results indicate that resonance phenomena occur when the excitation frequency approaches the system’s natural frequency, regardless of whether the external excitation is applied to the first or second pipe. An interesting phenomenon is observed in the second pipe: anti-resonance occurs when external excitation is applied to the first pipe, and the excitation and fluctuation frequencies approach the second natural frequency and twice the first natural frequency of the system, respectively. Lastly, the nonlinear finite element method is used to verified the nonlinear vibration characteristics of the pipes. Comparing the natural frequency, time trace and frequency amplitude response of the pipe obtained from the Galerkin truncation method and finite element method, results show that the modeling equation and method presented in this work can well capture the characteristics of the three rotation-joined pipe conveying fluid and provide reliable results.</p>

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Nonlinear vibration of three rotation-joined pipes conveying pulsating fluid under local excitation

  • 期刊论文

  • 发表日期：

    2026年4月3日

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  • Yuanbin Wang,
  • Li-Qun Chen

摘要

Recently, the vibration of multi-span pipes conveying fluid has attracted extensive attention. However, few studies focus on the nonlinear vibration of multi-span pipes joined by rotational joints conveying fluid. In this work, the nonlinear vibration of three rotation-joined pipes conveying pulsating fluid under local excitation is investigated. Taking into account the constraints imposed by the rotational joints, the coupled nonlinear modeling equations for the triple pipes conveying pulsating fluid are derived by the Hamilton principle and the Lagrange multiplier method. These modeling equations are then simplified into coupled Integro-differential and algebraic equations. With the aid of the Galerkin truncation method, the nonlinear vibration characteristics of all three pipes are analyzed. Results show that the motions of all three pipes exhibit quasi-periodic behavior. The influences of velocity fluctuation frequency and external excitation frequency on the frequency-amplitude response of all three pipes have been analyzed at different excitation locations. Results indicate that resonance phenomena occur when the excitation frequency approaches the system’s natural frequency, regardless of whether the external excitation is applied to the first or second pipe. An interesting phenomenon is observed in the second pipe: anti-resonance occurs when external excitation is applied to the first pipe, and the excitation and fluctuation frequencies approach the second natural frequency and twice the first natural frequency of the system, respectively. Lastly, the nonlinear finite element method is used to verified the nonlinear vibration characteristics of the pipes. Comparing the natural frequency, time trace and frequency amplitude response of the pipe obtained from the Galerkin truncation method and finite element method, results show that the modeling equation and method presented in this work can well capture the characteristics of the three rotation-joined pipe conveying fluid and provide reliable results.