基于分层模型的功能梯度输流管道耦合振动

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摘要基于Timoshenko梁模型，研究了材料属性沿管道壁厚方向呈梯度变化的输流管道的耦合振动。沿厚度方向将功能梯度材料离散为若干层均质材料；考虑流体在轴向的可压缩性及管壁与流体间的摩擦，通过Hamilton原理及流体动量方程、连续方程建立了功能梯度输流管道的耦合振动模型；采用动刚度法对管道单元进行求解，并通过算例分析了功能梯度材料的梯度指数变化对管道动态特性的影响。

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	朱竑祯 1
	王纬波 2
	殷学文 2
	高存法1

关键词 ：梁模型, 功能梯度, 耦合振动, 动刚度法

Abstract：The coupled vibration of fluid conveying pipes with gradient material property along the thickness was investigated based on the Timoshenko beam theory.A multi-layered homogeneous model was employed to discretize the functionally graded material(FGM).With the consideration of axial compressibility of fluid and its friction with pipe wall, the coupled equations were established through the Hamilton’s principle, as well as the fluid momentum and continuum equations.The dynamic stiffness method was used to solve the governing equations of the pipe element.Afterwards, the effects of gradient index of FGM on the dynamic characteristics of pipes were discussed.

Key words： beam model functionally graded coupled vibration dynamic stiffness method

收稿日期: 2018-02-06 出版日期: 2019-10-15

引用本文:

朱竑祯 1，王纬波 2，殷学文 2，高存法1. 基于分层模型的功能梯度输流管道耦合振动[J]. 振动与冲击, 2019, 38(20): 203-209.
ZHU Hongzhen1,WANG Weibo2,YIN Xuewen2,GAO Cunfa1. Coupled vibration of functionally graded pipes conveying fluid based on a multi-layered model. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(20): 203-209.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I20/203

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