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'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.^
Kevin A Goodell,
"Dynamic analysis of multi-degree-of-freedom systems using a pole-residue method"
Dissertations and Master's Theses (Campus Access).