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ADDED MASS ANALYSIS OF ELASTIC AXISYMMETRICAL ROTATIONAL SHELL IN WATER

修 西條, Nobuhiko NISHIWAKI

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Abstract

A numerical procedure for calculating the added mass of a submerged elastic axisymmetrical rotational shell is described, The purpose of the paper was to obtain the added mass which can be combined directly into a structural mass matrix of finite element method (FEM). Added mass is axisymmetrically analysed by the boundary element method (BEM) with respect to nodal displacements including the rotational degree of freedom. The obtained added mass is transformed into FEM type fluid mass matrix, so that the superposition on the structural matrix becomes possible. Using the calculation procedure of added mass, natural frequency and mode are investigated for cylindrical shell models with variations in water depth ratio. The validity of the calculation method of added mass was examined by the comparisons of natural frequencies with experimental data.

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What this paper is about

A numerical procedure for calculating the added mass of a submerged elastic axisymmetrical rotational shell is described, The purpose of the paper was to obtain the added mass which can be combined directly into a structural mass matrix of finite element method (FEM). Added mass is axisymmetrically analysed by the boundary element method (BEM) with respect to nodal displacements including the rotational degree of freedom. The obtained added mass is transformed into FEM type fluid mass matrix, so that the superposition on the structural matrix becomes possible. Using the calculation procedure of added mass, natural frequency and mode are investigated for cylindrical shell models with variations in water depth ratio. The validity of the calculation method of added mass was examined by the comparisons of natural frequencies with experimental data.

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Available abstract

A numerical procedure for calculating the added mass of a submerged elastic axisymmetrical rotational shell is described, The purpose of the paper was to obtain the added mass which can be combined directly into a structural mass matrix of finite element method (FEM). Added mass is axisymmetrically analysed by the boundary element method (BEM) with respect to nodal displacements including the rotational degree of freedom. The obtained added mass is transformed into FEM type fluid mass matrix, so that the superposition on the structural matrix becomes possible. Using the calculation procedure of added mass, natural frequency and mode are investigated for cylindrical shell models with variations in water depth ratio. The validity of the calculation method of added mass was examined by the comparisons of natural frequencies with experimental data.

Key concepts: Added mass, Finite element method, Shell (structure), Mass matrix, Superposition principle, Matrix (chemical analysis), Mechanics, Boundary value problem

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