Abstract
In order to obtain the effects of time-varying fluid on dynamical characteristics of cantilever beams, this paper gives a comprehensive study of cantilever beams vibrating in a fluid with variable depth. The mathematical model of the cantilever beams in time-varying fluid is derived by combining Euler–Bernoulli beam theory and velocity potential theory, and the influence of the time-varying fluid is discussed. Then, a two-way fluid-structure interaction (FSI) numerical simulation procedure is proposed to calculate the transient responses of the beam. The validity and accuracy are verified according to the comparison among theoretical analysis, numerical simulations, and experimental measurements. Results show that, besides the added mass effect, a damping-like term is also induced due to the motion of the fluid, which is proportional to the moving velocity of the fluid. Both the added mass and the added damping increase with the increment of the width of the beam. The surrounding fluid near the free end affects the beam more significantly. As a negative damping is caused while the fluid decreases, resulting in a much slower decay of the time responses. Therefore, the added damping should not be neglected in the analysis of the FSI problems with time-varying fluid.
Highlights
Fluid-structure interaction is widely encountered in ocean engineering and petroleum engineering, and the fluid induced noise and vibration is a common and difficult problem for engineers
Eysden et al [25] presented a rigorous theoretical model to predict the frequency response of a cantilever beam oscillating in compressible fluid, and the results showed that fluid compressibility became increasingly important as the mode number rose
While for Beam II, the vibration decays slower with a larger v0, due to the negative added damping. e additional damping-like force cannot be neglected in the dynamic analysis of fluid-structure interaction (FSI) problems with time-varying fluid. e newly reported phenomenon is important as the modern marine equipment and building structure are greatly influenced by the changing surroundings, and the additional damping-like force plays a much larger role than imagined
Summary
Fluid-structure interaction is widely encountered in ocean engineering and petroleum engineering, and the fluid induced noise and vibration is a common and difficult problem for engineers. In many cases, the surrounding fluid changes or moves fast; the interaction effect becomes time varying as well. The ballast tanks of the submarine are flooded with water At this moment, the structures of the submarines suffer a time-varying surrounding fluid, and the upper rudder vibrates with increasing fluid. E underwater-launched missiles and marine oil pipelines in offshore oil-drilling work with the variable surrounding fluid, which affects the vibration of the structures significantly. Erefore, it is necessary to study the dynamic characteristics of the structures interacting with the time-varying fluid, and based on that, the vibration of the system can be suppressed. Vu et al [2] studied the effects of added mass on the submerged plate by experiments, and the influence of the geometry ratios and boundary conditions were investigated. Kerboua et al [3] established an analytical model to assess the added mass of rectangular plates coupled with fluid, the finite element
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