Graduate Thesis Or Dissertation

Fluid-structure interaction analysis with the particle finite element method

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  • To facilitate the evaluation and design of structures subjected to fluid loading, a study of fluid-structure interaction (FSI) using the particle finite element method (PFEM) is presented to approximate the responses and sensitivities of structures which interact with fluid. A wide range of structural types are permissible by making no assumptions of the configurations, materials or any properties of the structures. On the other hand, the Newtonian flows are assumed, which are sufficient for the fluid that interacts with structures, such as bridges, coastal buildings and off-shore structures. The particle finite element method is used here as the primary tool for numerical computation with two advantages. First, both fluid and structural domains are described with Lagrangian formulation in PFEM, which conform to the traditional formulation for structural mechanics. Therefore, the interaction and coupling of both domains can be naturally described at level of differential equations. Second, the PFEM is a particle based method, where particles are moved by their own mass and interaction between connected particles. This is convenient to free surface problems, which is common in most of our applications. In order to accommodate arbitrary structures in PFEM, the fractional step method (FSM) used in the original PFEM is modified with better accuracy and convergence rate. An unified FSM is also proposed for fluid with high viscosity and fluid elements with consistent mass matrix. The MINI element is used in this study as replacement of the stabilized linear element to eliminate the additional unknowns in the original PFEM. As a prerequisite to the reliability based structural design, the sensitivity analysis of PFEM is studied using the direct differentiation method (DDM). The large displacement of the fluid domain is considered in forming the sen- sitivity equations of FSI by introducing the additional geometric sensitivity. The structural finite element software, OpenSees, is chosen as the platform for implemen- tation. It is extended by adding new modules at high and low levels of the software framework. Numerical results computed by OpenSees using PFEM are compared to analytical solutions, experimental data and results from other numerical methods which are shown from Chapter 2 to 5.
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