Graduate Thesis Or Dissertation
 

Finite element analysis of wave-structure interactions in the time domain

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  • The time-domain simulation of wave-structure interactions using the finite element method is presented in this study. Combined initial and boundary value problems for diffraction and radiation of waves by large structures are posed. Linearized free surface boundary conditions are used, but motions of the structural boundaries compared to the wave length are allowed to be large: adaptive meshes are used in the fluid adjoining the structures to accommodate structural motions without excessive distortions of the fluid elements. An extrapolated version of Orlanski's condition is developed for use for an artificial boundary to truncate the discretized region. Galerkin's method is used to formulate integral expressions for isoparametric, quadratic finite elements in the fluid domain and along its boundaries. Multiple fixed or floating rigid bodies are included which may be moored or interconnected by linear springs. Dynamic analysis procedures for problems of fluid-structure interactions are presented. A partitioned, staggered integration scheme is developed for the fluid-structure system. The implicit Newmark's method is used for the structural equations, and a nodal partitioned explicit-implicit integration scheme is derived for the fluid. Test examples are included to demonstrate the validity of the finite element fluid model, the extrapolated time dependent Orlanski condition for the artificial boundary, and the dynamic solution procedures developed to describe the interactions between fluids and structures for initial value problems or problems with nonlinear structural motions.
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