变流速输液管的周期和混沌振动
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国家自然科学基金资助项目(10732020,10425209)


Periodic and chaotic oscillations of the fluid conveying pipes with pulse fluid
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    摘要:

    研究了参数激励和外激励联合作用下输流管道的非线性振动问题.只考虑管道变形的几何非线性因素,利用Hamilton原理得到单侧受简谐均布载荷作用下输液管的非线性动力学方程,对系统运动偏微分方程综合运用多尺度法和Galerkin离散方法,得到了主参数共振1/2亚谐共振和1:2内共振情况下的平均方程.数值模拟结果表明参数激励和外激励联合作用下的悬臂输液管呈现周期运动、多倍周期运动和混沌运动的变化规律.

    Abstract:

    The nonlinear oscillations of fluid conveying pipes under parametric and external excitations were researched. The nonlinear governing equation of motion for the cantilevered pipes conveying pulse fluid with onesided harmonic external force was obtained by using the Hamilton principle, in which the nonlinear geometric deformation of the pipe was only considered. The method of multiple scales and Galerkin method were employed to transform the partial differential governing equation of motion to the average equations in the case of the principal parametric resonance1/2 subharmonic resonance and 1:2 internal resonance. The results of numerical simulation indicate that there exist the periodic motion and chaotic motion in the conveying fluid pipes under parametric and external excitation.

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席红敏,张伟,姚明辉.变流速输液管的周期和混沌振动[J].动力学与控制学报,2008,6(3):243~248; Xi Hongmin, Zhang Wei, Yao Minghui. Periodic and chaotic oscillations of the fluid conveying pipes with pulse fluid[J]. Journal of Dynamics and Control,2008,6(3):243-248.

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  • 收稿日期:2008-04-21
  • 最后修改日期:2008-05-15
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