Abstract
The vibrations in hydraulic pipeline systems inevitably involve the interaction between the two-phase media of a solid and fluid. The fluid flowing in the pipeline generates pressure on the pipeline wall and thus causes vibration and deformation in the pipeline, which in turn changes the fluid flow condition, thereby cyclically affecting the deformation and motion of the solid and fluid and making the pipeline system vulnerable to vibration damage. Therefore, it is of great theoretical and practical value to investigate the vibration behavior and characteristics of hydraulic pipeline systems. In this study, the fluid flow-induced vibrations in a pipeline system are investigated based on Housner’s differential vibration equation of fluid pipelines. Through the application of relevant mathematical theories and methods, the derivation of the inherent characteristics and dynamic behavior of a hydraulic pipeline system with two hinged ends is simplified, and the corresponding equations for the natural frequencies and dynamic response of the system are obtained. The analytical method for analyzing the vibration behavior and characteristics of the system is presented, and the analytical results of the vibration analysis of the system are obtained through computer simulation, providing a theoretical and technical basis for the safe and reliable operation of the hydraulic pipeline system.
Highlights
Modern industry has placed increasingly high demands on project quality as well as product precision and reliability, and it has become an urgent task to study and solve various vibration problems in the mechanical industry. e vibratory quantities of a vibration system, such as displacement, velocity, and acceleration, are used to measure the vibration intensity of mechanical equipment
If the structure of a mechanical system is subjected to a large dynamic load, the vibratory quantities may exceed the allowable range of values, causing intense vibration in the mechanical equipment and noise
The mechanical equipment is affected in terms of working performance and service life and may undergo fault/failure in severe cases and even experience catastrophic accidents
Summary
Modern industry has placed increasingly high demands on project quality as well as product precision and reliability, and it has become an urgent task to study and solve various vibration problems in the mechanical industry. e vibratory quantities of a vibration system, such as displacement, velocity, and acceleration, are used to measure the vibration intensity of mechanical equipment. By applying the theory and methods of modern mathematics and mechanics and fully considering factors that cause the vibrations in fluid pipelines, a theoretical model and analytical method for the analysis of the vibration behavior and characteristics of a hydraulic pipeline system were proposed based on Housner’s differential equation regarding the vibrations in fluid pipelines. Note that the present study only investigated the behavior and characteristics of fluidsolid coupling vibrations in hydraulic pipeline systems with simple hinged ends, so it is still difficult to theoretically analyze the fluid-solid coupling vibrations in the fluidconveying pipeline systems with complex support boundaries and complex flow fields. Through the application of the method proposed in this study along with approximation, the dynamic behavior and inherent characteristics of the fluid-solid coupling vibrations in hydraulic pipeline systems in engineering practice can be analyzed, which can effectively improve the vibration-resistant design of hydraulic pipeline systems in actual engineering projects. The variation patterns of the inherent characteristics of the hydraulic pipeline system, including the inherent frequency, critical flow rate, and inherent frequency ratio ωr/ωsr, with the flow velocity ratio v/vcr can be analyzed
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