Analytical Modeling and Impedance Characterization of Nonlinear, Steady-State Structural Dynamics in Thermomechanical Loading Environments Master’s Thesis Presented in Partial Fulfillment of the Requirements for the Degree Master of Science in the Graduate School of The Ohio State University By Benjamin A. Goodpaster, B.S. Graduate Program in Mechanical Engineering The Ohio State University 2018 Thesis Committee: Ryan L. Harne, Advisor Jack J. McNamara