含有初始弯曲的功能梯度输流管的平衡分岔分析

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (11) : 27-32.

论文

宫亚飞，甄亚欣

作者信息 +

Equilibrium bifurcation analysis of functionally graded pipe conveying fluid with initial curvature

GONG Yafei, ZHEN Yaxin

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文章历史 +

摘要

在现实生活中，管道几乎都是含有初始弯曲的。针对这一现象，解析研究了含有初始弯曲的功能梯度输流管的平衡分岔问题。基于欧拉-伯努利梁理论和广义哈密顿原理，推导了固支边界条件下含有初始弯曲的功能梯度输流管的纵横耦合非线性振动方程。对建立的非线性方程进行解析求解，给出了超临界流速下直管和含初始弯曲的功能梯度输流管平衡位形和临界流速的解析表达式。分析了幂律指数、管道长度以及初始弯曲幅值等参数对系统平衡分岔的影响，并对直流管系统和含有初始弯曲的输流管系统的临界流速进行了对比分析。

Abstract

In real life, almost all pipes contain initial curvature. In view of this phenomenon, the equilibrium bifurcation of a functionally graded pipe with initial curvature is investigated analytically. Based on the generalized Hamiltonian principle and the Euler-Bernoulli beam theory, the nonlinear equation for the longitudinal and transverse coupled vibration of a functionally graded fluid-conveying pipe with initial curvature under fixed support condition is derived. The analytical expressions for the equilibrium configuration and critical flow velocity of functionally graded straight pipe and pipe with initial curvature under supercritical flow velocity are given. The influences of power-law exponent, length of pipe and intimal curvature amplitude on the equilibrium bifurcations are investigated in detail.

导出引用

宫亚飞，甄亚欣 . 含有初始弯曲的功能梯度输流管的平衡分岔分析[J]. 振动与冲击, 2022, 41(11): 27-32

GONG Yafei, ZHEN Yaxin. Equilibrium bifurcation analysis of functionally graded pipe conveying fluid with initial curvature[J]. Journal of Vibration and Shock, 2022, 41(11): 27-32

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