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    超臨界流速下兩端固定輸流管道橫向非線性受迫振動

    Transverse nonlinear forced vibration of pipe conveying supercritical fluid with both fixed ends

    • 摘要: 研究橫向諧波激勵作用下兩端固定輸流管道在超臨界流速下的非線性受迫振動👳🏻‍♀️,采用Euler-Bernoulli梁理論,運用廣義哈密頓原理建立輸流管道橫向受迫振動控製方程。推導兩端固定輸流管道的屈曲靜平衡位形和臨界流速。通過有限差分法數值仿真得到輸流管道在超臨界流速下的全局振動穩態幅頻響應🍉。通過分析全局穩態振動響應,驗證屈曲靜平衡位形的正確性。此外➞,系統參數對超臨界輸流管道受迫振動穩態響應的影響表明非線性系數和剛度系數會顯著影響輸流管道的超臨界振動平衡位置〰️;管流質量比的減小會使共振頻率增大🙍🏿‍♀️。

       

      Abstract: Transverse nonlinear forced vibration of a pipe with both fixed ends conveying high velocity fluid are studied. Applying Euler-Bernoulli beam theory, the governing equation of motion of the pipe conveying fluid subjected to harmonic excitation is established by using generalized Hamilton’s principle. The non-trivial static equilibrium configuration and critical velocity of the pipe conveying fluid are derived. By analyzing the global steady-state vibration response, the correctness of the non-trivial static equilibrium configuration and is verified. In addition, the influence of system parameters on the steady-state vibration response in the supercritical regime are presented. The results show that the nonlinear coefficient and stiffness coefficient can significantly affect the equilibrium position of vibration in the supercritical regime. The resonance frequency increases when the mass ratio of pipe flow decreases.

       

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