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1986•Journal of the Society of Naval Architects of JapanRequires access

CALCULATIONS OF THE HYDRODYNAMIC FORCES ACTING UPON A SHIP WITH LARGE AMPLITUDE MOTIONS (1ST REPORT)--HYDRODYNAMIC FORCES ACTING UPON A SHIP'S CROSS SECTION

Ken Takagi

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Abstract

In order to solve nonlinear hydrodynamic problems of a ship with forward speed, a non-linear calculation method of two-dimensional hydrodynamic problems is developed. The free surface boundary conditions are linearized, but an exact body boundary condition permits large amplitude motions of the body. Applying the multi-pole expansion method, a calculation procedure that gives an exact solution of the boundary problem mentioned above is developed. Ignoring the effect of the free surface on the bi-harmonic component of the velocity potential, an approximate calculation method is proposed. Calculated results are compared with measured ones. The approximate method gives fairly good estimations.

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In order to solve nonlinear hydrodynamic problems of a ship with forward speed, a non-linear calculation method of two-dimensional hydrodynamic problems is developed. The free surface boundary conditions are linearized, but an exact body boundary condition permits large amplitude motions of the body. Applying the multi-pole expansion method, a calculation procedure that gives an exact solution of the boundary problem mentioned above is developed. Ignoring the effect of the free surface on the bi-harmonic component of the velocity potential, an approximate calculation method is proposed. Calculated results are compared with measured ones. The approximate method gives fairly good estimations.

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Available abstract

In order to solve nonlinear hydrodynamic problems of a ship with forward speed, a non-linear calculation method of two-dimensional hydrodynamic problems is developed. The free surface boundary conditions are linearized, but an exact body boundary condition permits large amplitude motions of the body. Applying the multi-pole expansion method, a calculation procedure that gives an exact solution of the boundary problem mentioned above is developed. Ignoring the effect of the free surface on the bi-harmonic component of the velocity potential, an approximate calculation method is proposed. Calculated results are compared with measured ones. The approximate method gives fairly good estimations.

Key concepts: Amplitude, Surface (topology), Harmonic, Nonlinear system, Boundary value problem, Boundary (topology), Mechanics, Free surface

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CALCULATIONS OF THE HYDRODYNAMIC FORCES ACTING UPON A SHIP WITH LARGE AMPLITUDE MOTIONS (1ST REPORT)--HYDRODYNAMIC FORCES ACTING UPON A SHIP'S CROSS SECTION — Research Paper | ScholarLens