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The dynamics of offshore structures evaluated by boundary integral techniques
Author(s) -
Taylor R. Eatock,
Waite J. B.
Publication year - 1978
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620130106
Subject(s) - boundary (topology) , hydroelasticity , fluid–structure interaction , simple (philosophy) , added mass , excitation , boundary value problem , mathematical analysis , submarine pipeline , classical mechanics , degrees of freedom (physics and chemistry) , excited state , mechanics , physics , mathematics , engineering , structural engineering , vibration , finite element method , acoustics , philosophy , geotechnical engineering , epistemology , quantum mechanics , nuclear physics
Abstract This paper is concerned with the development of transfer functions for the dynamic response of multidegree‐of‐freedom offshore structures, excited by sinusoidal waves. The problem is formulated in terms of the principal modes of the structure vibrating freely in vacuo . The hydrodynamic analysis is performed through use of a distribution of wave sources on the submerged surface of the structure, which leads to an approximate solution satisfying the boundary condition on the fluid‐structure interface at a discrete set of points. Generalized forces are obtained corresponding both to excitation by waves and to the hydrodynamic reactions induced by motions of the structure: the latter are expressed in terms of added mass and damping matrices. Results are given for simple geometries to illustrate the approach.