一般支承条件下输流管道的非线性动力学特性研究

包日东;金志浩;闻邦椿

振动与冲击 ›› 2009, Vol. 28 ›› Issue (7) : 153-157.

PDF(607 KB)
PDF(607 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (7) : 153-157.
论文

一般支承条件下输流管道的非线性动力学特性研究

  • 包日东1 ,金志浩1 ,闻邦椿2
作者信息 +

STUDY ON NONLINEAR DYNAMIC CHARACTERISTICS OF FLUID CONVEYING PIPE UNDER THE CONDITION OF COMMONLY ELASTIC SUPPORTS

  • Bao Ri-dong1,Jin Zhi-hao1,Wen Bang-chun2
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文章历史 +

摘要

摘要: 研究两端一般支承垂直放置的输流管道系统,采用非线性动力学分析方法,研究其在自激、参数激励和外激励联合作用下的非线性动力学特性,分析系统出现混沌运动的参数条件和进入混沌运动的途径。数值仿真结果表明,随着平均流速和质量比的增大,系统响应交替出现周期和混沌运动两种形态。系统进入混沌运动的途径为倍周期分岔,由混沌转化为周期运动的途径为倍周期倒分岔。混沌运动和周期运动出现的参数与流体的平均流速和管道端部的支承/约束刚度有很大关联,随着管道端部约束刚度的增大,系统出现混沌运动的区域减小,说明管道端部的约束刚度有益于抑制混沌运动的发生。

Abstract

Abstract The nonlinear dynamical characteristics of vertical fluid conveying pipe under the condition of commonly elastic supports at both ends and the excitation of pulsating fluid and harmonic motion of the base were studied by using the nonlinear analysis methods to find out systematical parameter conditions and the forerunner of chaos. Numerical results show that the system goes through the transitions from periodic motion and chaotic motion alternately with the increase of mean flowrate and mass ratio. Doubling bifurcation is the route leading to chaotic motion, and the inverse doubling bifurcation is its converse way to leave chaotic motion. The parameter conditions of chaotic motion and periodic motion are closely related with fluid flowrate and supporting elastic coefficients of piping system. The parametric range of chaotic motion becomes short with the increase of elastic supporting and restraining coefficients. That shows that the coefficients are good for controlling the chaotic motion.

关键词

一般支承 / 输流管道 / 流固耦合 / 分岔与混沌 / 非线性动力学特性

Key words

commonly elastic supports / fluid conveying pipe / fluid structures interaction (FSI) / bifurcation and chaos / nonlinear dynamic characteristics

引用本文

导出引用
包日东;金志浩;闻邦椿. 一般支承条件下输流管道的非线性动力学特性研究[J]. 振动与冲击, 2009, 28(7): 153-157
Bao Ri-dong;Jin Zhi-hao;Wen Bang-chun. STUDY ON NONLINEAR DYNAMIC CHARACTERISTICS OF FLUID CONVEYING PIPE UNDER THE CONDITION OF COMMONLY ELASTIC SUPPORTS[J]. Journal of Vibration and Shock, 2009, 28(7): 153-157

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