两端固定载流管非线性振动IHB方法研究

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (20) : 248-253.

论文

两端固定载流管非线性振动IHB方法研究

王鹏1，张咏鸥1，王晟1，张涛1

作者信息 +

Nonlinear vibration of hinged pipes conveying fluid with IHB method

WANG Peng1，ZHANG Yongou1，WANG Sheng1，ZHANG Tao1

Author information +

文章历史 +

摘要

增量平衡谐波法（IHB法）可用于求解两端简支载流管的非线性振动问题。考虑非线性约束及集中质量点的影响，利用Hamilton原理建立两端简支载流管运动微分方程，经Galerkin离散后，通过改变控制变量频率比得到系统的幅频特性曲线。讨论了系统运动参数例如速度、质量比、非线性约束刚度及质量点对系统幅频特性的影响。计算结果表明增量平衡谐波法是一种求解载流管非线性振动较为有效的方法。

Abstract

The nonlinear vibration of simply supported pipes conveying fluid was investigated by the incremental harmonic balance method. The differential equations of motion of simply supported pipes conveying fluid were derived based on the Hamilton principle, considering the influence of the nonlinear constraint and the tip lumped masses. The equations were discretized by Galerkin scheme. The amplitude-frequency characteristics curves of the pipes conveying fluid were obtained by changing the frequency ratio. The effect of the fluid speed, mass ratio, the stiffness of the nonlinear constraint, and the tip lumped masses on the amplitude-frequency characteristics of the pipes conveying fluid were discussed. The results show that the incremental harmonic balance method is an effective method to solve the problem of the nonlinear vibration of the pipes conveying fluid.

导出引用

王鹏1，张咏鸥1，王晟1，张涛1. 两端固定载流管非线性振动IHB方法研究[J]. 振动与冲击, 2017, 36(20): 248-253

WANG Peng1，ZHANG Yongou1，WANG Sheng1，ZHANG Tao1. Nonlinear vibration of hinged pipes conveying fluid with IHB method[J]. Journal of Vibration and Shock, 2017, 36(20): 248-253

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