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Presented By: Department of Mathematics

Applied Interdisciplinary Mathematics

The effect of piezoelectric material on the stability of flexible flags

Piezoelectric material has drawn enormous attention in recent decades due to its ability to convert mechanical deformation energy into electrical potential energy, and vice versa. It has been applied to both energy harvesting and passive vibration control applications. In this talk, we will discuss the effect of piezoelectric material on the stability of a flexible flag using a fully coupled fluid-solid-electric model. An inviscid vortex-sheet model and a linear electro-mechanical model are combined to describe the problem. We find that the critical flutter speed is increased due to the extra damping effect of piezoelectric material, and can also be altered by tuning the output inductance-resistance circuit. Optimal resistances and inductances are found that either maximize or minimize the flutter speed. The former application is useful for vibration control while the latter is important for energy harvesting. We will also briefly discuss other recent projects including snake locomotion and vortex wake dynamics in channels. Speaker(s): Xiaolin Wang (University of Michigan)

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