Date of Award

2016

Degree Type

Thesis

Degree Name

Master of Science in Ocean Engineering

Department

Ocean Engineering

First Advisor

James Hu

Abstract

This dissertation is concerned with the development of a robust pole-residue method for the dynamic analysis of multiple-degree-of-freedom structures. The utilization of this new pole-residue method requires additional analysis and a determination of its effectiveness in calculating a structure's response to an external excitation. The components of the computational framework are a deterministic model of the dynamic loading and a well defined structure. The finite element method will be used to describe the system, simplify the problem, and develop the mathematical expressions to describe the system's behavior. A commercial finite element software program was used to verify the natural frequencies of the structures and ensure that the governing equations were defined correctly. A pole-residue method was implemented and compared to the frequency domain method and a time-domain method. The system's total response was found using the time-domain and pole-residue methods, while the frequency-domain method found the steady-state response.

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