Exact Computation of the Axial Vibration of Two Coupled Liquid-Filled Pipes

Author(s):  
Arris S. Tijsseling

A simple recursion is presented that finds exact solutions to the problem of two coupled axially-vibrating liquid-filled pipes. Fluid-structure interaction at pipe ends and junction, and along the pipe because of axial-radial Poisson contraction, is taken into account. The solutions obtained for a waterhammer problem show unprecedented details that resemble noise.

2020 ◽  
Vol 10 (10) ◽  
pp. 3548
Author(s):  
Lingxiao Quan ◽  
Shichao Che ◽  
Changhong Guo ◽  
Haihai Gao ◽  
Meng Guo

This paper aims at studying the axial vibration response characteristics of Fluid-Structure Interaction (FSI) vibration of aircraft hydraulic pipe when considering the friction coupling. Based on the Brunone empirical model and the Zielke weighting function, an expression of fluid shear stress of the hydraulic pipeline is presented for a wide range of Reynolds number, and the friction model of the FSI 14-equation for high-speed and high-pressure hydraulic pipeline is modified. On this basis, a left-wing hydraulic pipeline of the C919 airplane is taken as the verification object and modeled, then the FSI vibration 14-equation is solved using frequency-domain transfer matrix method in MATLAB to analyze the modal and the axial vibration characteristics of the pipeline. Ultimately, a test experiment is given and discussed by being compared with the numerical simulation results, which confirmed the correctness of the friction model and demonstrated that the analytic accuracy of axial velocity response of FSI vibration could be improved by considering the friction coupling.


Author(s):  
Wei Min ◽  
Hong Ji ◽  
Linfeng Yang

In this paper, fluid–structure interaction modeling of poppet fluid was presented, response of poppet under the action of step and periodic excitation signal was simulated, and dynamic characteristics of viscous force and hydraulic force on poppet surface were analyzed. The investigation indicates that poppet surface before valve port can be divided into jet impingement area and static pressure area under the action of submerged jet, and the dynamic characteristics of hydraulic force on these areas and axial vibration of poppet are closely related with length of jet impingement and poppet structure. Furthermore, for hydraulic force on jet impingement area, hydraulic force on static pressure area, and viscous force, if amplitude and phase have a reasonable configuration, axial vibration amplitude of poppet can decrease greatly.


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