Date of Award
Doctor of Philosophy (PhD)
Mechanical & Aerospace Engineering
Sebastian Y. Bawab
Bistable structures have two stable equilibrium positions and can be utilized to maintain a specific static shape with no energy consumption. This dissertation focuses on the minimum required energy for performing snap-through of a bistable structure. Snap-through is the motion of a bistable structure from one stable equilibrium position to the other. This research uses the Duffing-Holmes equation as a one-degree-of-freedom representative model of a bistable structure, and this nonlinear equation is solved to calculate the required energy for cross-well oscillation. The research identifies several unique features of the response of a bistable system subjected to force and energy constraints. The research also shows how the required energy for cross-well oscillation varies as a function of damping ratio, frequency ratio, and for different values of excitation force amplitudes. The response of the bistable system is compared to a mono-stable linear system with the same parameters. A magneto-elastic bistable beam was fabricated and tested to validate theoretical predictions.
Zarepoor, Masoud. "Constrained-Energy Cross-Well Actuation of Bistable Structures" (2016). Doctor of Philosophy (PhD), dissertation, Mechanical & Aerospace Engineering, Old Dominion University, https://digitalcommons.odu.edu/mae_etds/17