Dynamic analysis of multi-degree-of-freedom systems using a pole-residue method

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\u27s 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\u27s 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\u27s total response was found using the time-domain and pole-residue methods, while the frequency-domain method found the steady-state response