Michalopoulos, Constantine D.2022-10-062022-10-06196913854389https://hdl.handle.net/10657/12178A single degree-of-freedom viscously damped system with bilinear, nonsymmetric restoring force is analyzed. The differential equations governing the motion of the system are solved in closed form by matching the solutions for the positive and negative parts of a cycle. The fourth order Runge-Kutta method is also employed to solve the system numerically. Steady-state response curves are plotted for several ratios of the spring constants and damping. Both force and motion inputs are considered.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Thesisreformatted digital