Added Mass of Beam Vibration On Fluid With Finite Amplitude

摘要

As the strong non-linear characteristic of Naveir-Strokes equation, the theory of fluid-structure interaction (FSI) has a slow progress. This paper solves a two-dimensional FSI problem in which a Euler-beam vibrating in fluid. The beam satisfies Euler-Benelli beam assumption and fluid is a non-vertox, non-viscosity fluid. On the basic of above assumption and with Fourier series method, the governing equation is reduced and the theoretical solution is obtained. From the solution, the frequency of beam vibration is in accordance with the nature frequency of the beam vibrating with a "added mass". And on the axis direction of beam, velocity and pressure is a simple harmonic quantity, on the normal direction of beam, velocity and pressure is in a quantity in the exponent. On the field of time, all the physical quantity are the harmonic function. Besides, the numerical simulation was carried out and the result agreed with theory predictor.