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- W2067991509 abstract "The subject of this paper is the application of the method of separation of variables and the Galerkin method for discretization of the equations of motion for a cantilevered cylindrical fluid-conveying shell. The perturbation velocity potential is expressed in terms of a series of orthonormal beam modal functions. The final Galerkin generalized fluid force coefficients are simple, compact, and easy to evaluate numerically. To validate the method, comparisons with results obtained from the Fourier transform method are made. Mismatch between the actual axial fluid modes and the assumed modes affects the Galerkin coefficients to some extent, but the unstable eigenvalue branch is only affected slightly over a wide range of system parameters, and critical flow speeds predicted by the two methods generally agree well." @default.
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- W2067991509 date "2003-01-01" @default.
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- W2067991509 title "Modal expansion of the perturbation velocity potential for a cantilevered fluid-conveying cylindrical shell" @default.
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- W2067991509 doi "https://doi.org/10.1016/s0889-9746(02)00113-5" @default.
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