Subharmonic Bifurcations and Transition to Chaos in a Pipe Conveying Fluid under Harmonic Excitation

被引：3
|
作者：
Geng, Yixiang [1 ]
Liu, Hanze [2 ]
机构：
[1] Kunming Univ Sci & Technol, Dept Engn Mech, Kunming 650500, Yunnan, Peoples R China
[2] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2 | 2014年 / 444-445卷
基金：
中国国家自然科学基金;
关键词：
chaotic dynamics; subharnnonic bifurcations; homoclinic bifurcations; melnikov method; pipe conveying fluid; STABILITY;
D O I：
10.4028/www.scientific.net/AMM.0.791
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The subharmonic and chaotic behavior of a two end-fixed fluid conveying pipe whose base is subjected to a harmonic excitation are investigated. Melnikov method is applied for the system, and Melnikov criterions for subharmonic and homoclinic bifurcations are obtained analytically. The numerical simulations (including bifurcation diagrams, maximal Lyapunov exponents, phase portraits and Poincare map) confirm the analytical predictions and exhibit the complicated dynamical behaviors.
引用
收藏
页码：791 / +
页数：2
相关论文
共 50 条
  • [41] Bifurcations of safe basins and chaos in Flickering oscillator under multi-frequency harmonic and bounded noise excitation
    Rong Hai-Wuo
    Wang Xiang-Dong
    Xu Wei
    Fang Tong
    ACTA PHYSICA SINICA, 2008, 57 (03) : 1506 - 1513
  • [42] Nonlinear vibration of fluid-conveying single-walled carbon nanotubes under harmonic excitation
    Zhen, Ya-Xin
    Fang, Bo
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2015, 76 : 48 - 55
  • [43] Static and Dynamic Bifurcations Analysis of a Fluid-Conveying Pipe with Axially Moving Supports Surrounded by an External Fluid
    Fasihi, Ali
    Shahgholi, Majid
    Kudra, Grzegorz
    Awrejcewicz, Jan
    INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2023, 23 (05)
  • [44] Nonlinear Dynamics of Viscoelastic Pipe Conveying Pulsating Fluid Subjected to Base Excitation
    Fu, Guang-ming
    Tuo, Yu-hang
    Su, Jian
    Wang, Kai
    Li, Lei
    Sun, Bao-jiang
    CHINA OCEAN ENGINEERING, 2023, 37 (05) : 781 - 793
  • [45] Nonlinear Dynamics of Viscoelastic Pipe Conveying Pulsating Fluid Subjected to Base Excitation
    Guang-ming Fu
    Yu-hang Tuo
    Jian Su
    Kai Wang
    Lei Li
    Bao-jiang Sun
    China Ocean Engineering, 2023, 37 : 781 - 793
  • [46] Flow-induced oscillations of a cantilevered pipe conveying fluid with base excitation
    Chang, Gary Han
    Modarres-Sadeghi, Yahya
    JOURNAL OF SOUND AND VIBRATION, 2014, 333 (18) : 4265 - 4280
  • [47] Nonlinear Vibration of a Pipe Conveying Fluid with Weakly External Excitation in the Supercritical Regime
    Zhang, Yanlei
    Chen, Liqun
    DYNAMICS FOR SUSTAINABLE ENGINEERING, 2011, VOL 3, 2011, : 1057 - 1065
  • [48] Nonlinear Dynamics of Viscoelastic Pipe Conveying Pulsating Fluid Subjected to Base Excitation
    FU Guang-ming
    TUO Yu-hang
    SU Jian
    WANG Kai
    LI Lei
    SUN Bao-jiang
    ChinaOceanEngineering, 2023, 37 (05) : 781 - 793
  • [49] Nonlinear behaviors and chaos control of a fluid-conveying piezoelectric pipe in supercritical regime
    Pourmohammadi, M. J.
    Eftekhari, Mojtaba
    JOURNAL OF VIBRATION AND CONTROL, 2024,
  • [50] Intermittency route to chaos of a cantilevered pipe conveying fluid with a mass defect at the free end
    Semler, C
    Paidoussis, MP
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1995, 62 (04): : 903 - 907
12345