This thesis explores the effects of two assumptions commonly used in mathematical models related to a piezoelectric damping method known as State Switching. The technique relies on changing the stiffness state of a piezoelectric patch through control of the electrical boundary conditions. The transition between stiffness states is assumed to occur instantaneously and in concurrence with the switch event. In actuality, the transition will occur over a finite time and will trail behind the switch event by a finite time. For these assumptions to be valid, the effects of switch duration and delay on the performance of the State Switching method must be examined. The vibration reduction for various switch duration/delay values was calculated using a numerical solver; the results of the simulations were used to provide a range in which the two aforementioned assumptions produce negligible error, defined here as a 10% decrease in method performance. Switch durations of more than 3% of the forcing period lead to significant performance decrease, for most values of damping and coupling coefficient. Results of the switch delay simulations were counter-intuitive and require further examination and validation.
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Kauffman, Jeffrey L.
Bachelor of Science in Mechanical Engineering (B.S.M.E.)
College of Engineering and Computer Science
Mechanical and Aerospace Engineering
Dissertations, Academic -- Engineering and Computer Science; Engineering and Computer Science -- Dissertations, Academic
Length of Campus-only Access
Honors in the Major Thesis
Ilardi, Stephen, "Effects of Relaxed Assumptions on the State Switching Technique" (2014). HIM 1990-2015. 1641.