非线性弹性地基上悬臂输流管的受迫振动

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (10) : 17-21.

论文

非线性弹性地基上悬臂输流管的受迫振动

张紫龙唐敏倪樵

作者信息 +

FORCED VIBRATION OF A CANTILEVERED FLUID-CONVEYING PIPE ON NONLINEAR ELASTIC FOUNDATION

Zhang Zi-long, Tang Min, Ni Qiao

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文章历史 +

摘要

本文综合考虑地基的剪切效应、非线性刚度和粘滞阻尼的影响，建立了非线性Pasternak地基上输流管的运动控制方程。基于Galerkin法研究了基础激励作用下非线性弹性地基上悬臂输流管的非线性动力学行为，着重讨论了基础激励和地基剪切刚度对系统动力学特性的影响。结果表明：系统在基础激励作用下具有非常复杂的动态响应，包括多种形式的周期、概周期和混沌运动；地基的剪切刚度对系统的动态特性有重要影响，随着地基剪切刚度的增大，在基础激励参数区域内系统的概周期和混沌运动窗口逐渐减小，当地基剪切刚度足够大时，系统将始终处于周期运动状态。

Abstract

The nonlinear dynamics of a cantilevered fluid-conveying pipe rested on nonlinear elastic foundation under harmonic excitation is studied by using Galerkin method. The shear effect, nonlinear stiffness and viscous damping of foundation are considered. The contributions of foundation excitation frequency and shear stiffness on the dynamic response of system are discussed. The results demonstrate that the pipe system has complex response with the variation of foundation excitation. Periodic motions, quasi-periodic and chaotic motions can be observed. With increasing of the shear stiffness, the regions of quasi-periodic and chaotic motions decrease. The system undergoes period motion in the chosen parametric region of foundation excitation when the shear stiffness is large enough.

导出引用

张紫龙唐敏倪樵. 非线性弹性地基上悬臂输流管的受迫振动[J]. 振动与冲击, 2013, 32(10): 17-21

Zhang Zi-long;Tang Min;Ni Qiao. FORCED VIBRATION OF A CANTILEVERED FLUID-CONVEYING PIPE ON NONLINEAR ELASTIC FOUNDATION[J]. Journal of Vibration and Shock, 2013, 32(10): 17-21