Abstract
In the previous investigations of the vibroacoustic characteristics of a submerged cylindrical shell in a flow field, the fluid viscosity was usually ignored. In this paper, the effect of fluid viscosity on the characteristics of vibration power flow in an infinite circular cylindrical shell immersed in a viscous acoustic medium is studied. Flügge’s thin shell theory for an isotropic, elastic, and thin cylindrical shell is employed to obtain the motion equations of the structure under circumferential-distributed line force. Together with the wave equations for the viscous flow field as well as continuity conditions at the interface, the vibroacoustic equation of motion in the coupled system is derived. Numerical analysis based on the additional-damping numerical integral method and ten-point Gaussian integral method is conducted to solve the vibroacoustic coupling equation with varying levels of viscosity. Then, the variation of the input power flow against the nondimensional axial wave number in the coupled system with different circumferential mode numbers is discussed in detail. It is found that the influence of fluid viscosity on the vibroacoustic coupled system is mainly concentrated in the low-frequency band, which is shown as the increase of the crest number and amplitude of the input power flow curves.
Highlights
Much research has been conducted on the analysis of the vibroacoustic characteristics of an infinite elastic thin cylindrical shell submerged in an acoustic medium
As an attempt to address these issues, this paper investigates the vibroacoustic characteristics of an isotropic, elastic, and thin cylindrical shell coupled with compressible fluids taking into account the viscosity. e acoustic wave equations of the coupled system considering hydrostatic pressure are derived based on Flugge’s thin shell theory and the linearized equations of continuity as well as the Navier–Stokes equations. en, the pertinent boundary conditions are employed to obtain the vibroacoustic coupled equation of motion of the coupled system under circumferential-distributed line force
The effect of fluid viscosity on the characteristics of vibration power flow in an infinite circular cylindrical shell immersed in a viscous acoustic medium is studied
Summary
Much research has been conducted on the analysis of the vibroacoustic characteristics of an infinite elastic thin cylindrical shell submerged in an acoustic medium. Wave propagation and the consequent vibration characteristics are focused on in this paper, and the velocity vector uf at any point in the flow field is much smaller compared to the wave and sound velocity cf Assuming the dimension of uf is ε, the dimension of the product of any term involving fluid velocity components is ε2. Considering the basic field equations in cylindrical coordinates, the velocity components of the waves in x-, θ-, and r-direction in terms of potentials in the viscous fluid are [17].
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