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Effect of lateral stimuli on vibration of clamped-hinged pipeline with fluid-structure interaction
Received date: 2015-03-05
Online published: 2016-10-31
The fluid-structure interaction vibration equation of a clamped-hinged pipeline under steady flow, liquid pressure and lateral stimulating force is derived based on the Hamilton principle. A new mode function suitable for the Galerkin method is used to solve the equation. Expressions of the first five orders of natural frequencies of the system are derived and validated. Next, deflection, bending moment, and transverse force exerted on the cross-section of the clamped-hinged pipeline are expressed with the first-order approximation of the mode function. The effects of liquid pressure, flow velocity, and stimulating frequency on the middle-point deflection, maximal bending moment throughout the clamped-hinged pipeline are discussed. The results show that the natural frequencies of the clamped-hinged pipeline are easy to calculate and with high accuracy using the method. Their values depend on the liquid pressure and flow velocity in the pipe. The phenomenon that resonance occurs when the natural frequency is close to the stimulating frequency also exists in fluid-structure interaction.
ZHU Weiping, ZHOU Chujian, DI Qinfeng . Effect of lateral stimuli on vibration of clamped-hinged pipeline with fluid-structure interaction[J]. Journal of Shanghai University, 2016 , 22(5) : 597 -605 . DOI: 10.3969/j.issn.1007-2861.2014.05.023
[1] Asheley H, Haviland G. Bending vibrations of a pipeline containing flowing fluid [J]. Journal of Applied Mechanics, 1950, 17(2): 229-232.
[2] Paidoussis M P. Flow-induced instabilities of cylindrical structures [J]. Applied Mechanics Reviews, 1987, 40(2): 163-175.
[3] Paidoussis M P, Moon F C. Nonlinear and chaotic fluidelastic vibrations of a flexible pipe conveying fluid [J]. Journal of Fluids and Structures, 1988, 2(6): 567-591.
[4] 金基铎, 邹光胜, 张宇飞. 悬臂输流管道的运动分岔现象和混沌运动[J]. 力学学报, 2002, 34(6): 863-873.
[5] 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, 8(7): 153-157.
[6] 齐欢欢, 徐鉴. 输液管道颤振失稳的时滞控制[J]. 振动工程学报, 2009, 22(6): 576-582.
[7] Qian Q, Wang L, Ni Q. Instability of simply supported pipes conveying fluid under thermal loads [J]. Mechanics Research Communications, 2009, 36(3): 413-417.
[8] 叶献辉, 蔡逢春, 臧峰刚, 等. 含裂纹悬臂输流管道颤振分析[J]. 振动与冲击, 2011, 30(9):169-173.
[9] Liu G M, Li S J, Li Y H, et al. Vibration analysis of pipelines with arbitrary branches by absorbing transfer matrix method [J]. Journal of Sound and Vibration, 2013, 332(24): 6519-6536.
[10] Pittard M T, Evans R P, Maynes D, et al. Experimental and numerical investigation of turbulent flow induced pipe vibration in fully developed flow [J]. Review of Scientific Instruments, 2004, 75(7): 2393-2401.
[11] 季文美, 方同, 陈松淇. 机械振动[M]. 北京: 科学出版社, 1985: 367-369.
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