Parametric resonance of axially functionally graded pipes conveying pulsating fluid

被引:0
作者
Jie JING [1 ]
Xiaoye MAO [1 ,2 ]
Hu DING [1 ,2 ]
Liqun CHEN [1 ,2 ]
机构
[1] Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Frontier Science Center of Mechanoinformatics, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University
[2] Shanghai Institute of Aircraft Mechanics and Control
基金
中国国家自然科学基金;
关键词
D O I
暂无
中图分类号
O353.1 [流体振动理论];
学科分类号
080103 ; 080704 ;
摘要
Based on the generalized Hamilton’s principle, the nonlinear governing equation of an axially functionally graded(AFG) pipe is established. The non-trivial equilibrium configuration is superposed by the modal functions of a simply supported beam.Via the direct multi-scale method, the response and stability boundary to the pulsating fluid velocity are solved analytically and verified by the differential quadrature element method(DQEM). The influence of Young’s modulus gradient on the parametric resonance is investigated in the subcritical and supercritical regions. In general, the pipe in the supercritical region is more sensitive to the pulsating excitation. The nonlinearity changes from hard to soft, and the non-trivial equilibrium configuration introduces more frequency components to the vibration. Besides, the increasing Young’s modulus gradient improves the critical pulsating flow velocity of the parametric resonance, and further enhances the stability of the system. In addition, when the temperature increases along the axial direction, reducing the gradient parameter can enhance the response asymmetry. This work further complements the theoretical analysis of pipes conveying pulsating fluid.
引用
收藏
页码:239 / 260
页数:22
相关论文
共 48 条
  • [1] 材料特性对输送脉动流体的粘弹性轴向功能梯度管非线性动力行为的影响(英文)
    付光明
    庹宇航
    张贺恩
    苏健
    孙宝江
    王锴
    娄敏
    [J]. JournalofMarineScienceandApplication, 2023, 22 (02) : 247 - 259
  • [2] Vibration of fluid-conveying pipe with nonlinear supports at both ends[J] Sha WEI;Xiong YAN;Xin FAN;Xiaoye MAO;Hu DING;Liqun CHEN; Applied Mathematics and Mechanics(English Edition) 2022, 06
  • [3] Vibration analysis and control technologies of hydraulic pipeline system in aircraft: A review[J] Peixin GAO;Tao YU;Yuanlin ZHANG;Jiao WANG;Jingyu ZHAI; Chinese Journal of Aeronautics 2021, 04
  • [4] Resonance regulation on a hydraulic pipe via boundary excitations[J] Fan Xin;Zhu Chang-An;Mao Xiao-Ye;Ding Hu International Journal of Mechanical Sciences 2023,
  • [5] Dynamics of axially functionally graded pipes conveying fluid[J] Mao Xiao Ye;Jing Jie;Ding Hu;Chen Li Qun Nonlinear Dynamics 2023,
  • [6] Vibration characteristics analysis of fluid-conveying pipes concurrently subjected to base excitation and pulsation excitation[J] Guo Xumin;Gao Peixin;Ma Hui;Li Hui;Wang Bo;Han Qingkai;Wen Bangchun Mechanical Systems and Signal Processing 2023,
  • [7] Nonlinear model reduction for a cantilevered pipe conveying fluid: A system with asymmetric damping and stiffness matrices[J] Li Mingwu;Yan Hao;Wang Lin Mechanical Systems and Signal Processing 2023,
  • [8] Nonlinear planar and non-planar vibrations of viscoelastic fluid-conveying pipes with external and internal resonances[J] Zhu Bo;Zhang Xuanling;Zhao Tianyu Journal of Sound and Vibration 2023,
  • [9] Nonlinear nonplanar dynamics of porous functionally graded pipes conveying fluid[J] Zhu Bo;Guo Yang;Chen Bo;Li Ying-Hui Communications in Nonlinear Science and Numerical Simulation 2023,
  • [10] Three-dimensional dynamics of a cantilevered pipe conveying pulsating fluid[J] Wang Yikun;Tang Min;Yang Mo;Qin Tao Applied Mathematical Modelling 2023,