Transfer Matrix Solutions For The Vibration Analysis Of Pipes Conveying Fluid

As a kind of common structure, the pipes conveying fluid widely exist in various fields,such as the aerospace, marine engineering, petroleum chemical industry, biological engineering, nuclear power engineering, the city water supply, and so on. The relevant theoretical research on it can be directly used in these fields, and plays an important role in the economic and security problems in engineering practice. Thus the researches on the pipes conveying fluid have very large potential of engineering application.In this thesis, the stability of fluid-conveying pipeline system is analyzed by using the transfer matrix method. And the effect of fluid velocity, support conditions and other factors on the pipe system’s stability is investigated. In addition, the flexural vibrations of microscale pipes conveying fluid are examined theoretically, by modifying the classical equations of motion with consideration of the size effects of micro-flow and micro-structure.The studies on the vibration problem of the pipes conveying fluid in this thesis are divided as the following:I. By using the transfer matrix method which is calculated by high precise direct integration method(HPD), the stability of pipes conveying fluid with several classical boundary is analysised. This method is much more effective by comparing with the previous literature.II. This thesis analyses the stability of straight pipes conveying fluid with intermediate elastic support or hinge supports, and discusses the effects of spring’s stiffness, spring’s location and hinge’s location. The results obtained are useful for preventing prevent the structure from vibrating or even being destroyed caused by fluid-structure interaction, and it also provides the theoretical basis for improving the system’s stability and reliability.III. The equation of motion for a microscale pipeline conveying fluid is improved by considering the scale effect of micro-flow and micro-structure and is solved by using the method combining transfer matrix method with dynamic stiffness method to explore the vibrations of microscale pipes conveying fluid.