Induced Vibration of a Surface Foundation atop a Fluid-Conveying Embedded Pipe

Abstract

The dynamical behavior of a system containing a surface foundation atop a fluid-conveying pipe that is embedded in soil beneath the foundation is investigated. A Winkler–Voigt model is presented to simulate the interaction between the pipe and the foundation. The extended Hamilton’s principle is utilized to formulate the governing equation of the system. A generalized Fourier series is used to discretize the infinite-dimension model to an n-degree-of-freedom system. Maximum displacement of the surface foundation and pipe due to flow-induced vibrations is obtained via a modal analysis method. In addition, a numerical solution is used to verify the results. Good agreement was observed between the numerical and semianalytical results, even though the system is not classically damped. Variations of key factors such as flow velocity and geometrical properties that could affect the dynamical behavior of the system are considered. Although a relatively sharp rise of maximum amplitude was seen when changing the values of key factors, a unique change pattern was not seen in the maximum amplitude when varying different parameters.