Influence of Support Stiffness on Dynamic Characteristics of the Hydraulic Pipe Subjected to Basic Vibration

Abstract

The basic vibration generated during the tunneling process of hard rock tunnel results in the change of the support stiffness of the hydraulic pipe, which causes the problem of reduction of pipe transmission efficiency. A transverse motion equation of the hydraulic pipe was established by correlating with Hamilton’s principle under basic vibration. In consideration of the fluid-structure interaction (FSI), the support was simplified as an equivalent and a spring. The bidirectional fluid-solid coupling analysis method was used to investigate dynamic characteristics of the pipeline under different support stiffness conditions. The finite element method (FEM) and the experimental analysis are applied to verify the proposed methodology. The numerical results show that the maximum displacement of the pipe decreases with the increase of the support stiffness; the maximum stress of the pipe decreases first and then increases with the increase of the support stiffness; the amplitude of the fluid pressure fluctuation at the outlet of the pipe increases with the increase of the support stiffness. But the fluid pressure fluctuation with the higher stiffness is first stable, which can indicate that the support stiffness can increase the damping of the pipe system. This study can get a significant access to the structural design of the pipeline under basic vibration.

Analytical Method for Fluid‐Solid Coupling Vibration Analysis of Hydraulic Pipeline System with Hinged Ends

“…Similarly, considering the inherent frequency (6) and critical flow velocity (12), after mathematical derivation and rearrangement of terms, equation ( 18) can be expressed as e relevant time function F r (t) can be obtained by solving equation (18) or (19). Hence, the response of the fluid-solid coupling vibrations in the hydraulic pipeline system is…”

“…us, the key lies in the reduction and mitigation of the vibrations in hydraulic pipeline systems. For this reason, the behavior and characteristics of fluid-solid coupling vibrations in hydraulic pipeline systems need to be adequately studied to obtain effective guidance to prevent vibrations in hydraulic pipeline systems [18][19][20]. Ebrahimi et al developed a nonlocal couple stress theory to investigate static stability and free vibration characteristics of functionally graded nanobeams [21].…”

Force Transmission Analysis of Sliding Block-Type Hydraulic Support under Impact Loads

“…Qu et al established a transverse motion equation of hydraulic pipe and simplified the support as an equivalent and a spring. They investigated the dynamic characteristics under various support stiffness conditions by using bidirectional fluid-solid coupling analysis method [10]. Zhao et al conducted a finite element analysis of welded joint of the support with stress concentration, implemented fatigue test, and then obtained its fatigue life curves to study and improve fatigue strength of the hydraulic support [11].…”

Analysis of Fluid-Structure Coupling Vibration Characteristics of Pipeline Transporting Bubbly Fluid Medium: With Application to Luxury Passenger Ship Life Area Pipeline

“…Terefore, the combination of the two methods could conveniently analyze the bidirectional fuid-structure coupling vibration of pipelines. In addition, with the aid of continuous development of multiphase fow models, this calculation method could conveniently calculate the fow-induced vibration characteristics of pipeline multiphase fow, which made up for the defciency of the above analytical calculation method to some extent [26][27][28].…”