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Stochastic Urban Rapid Transit Network Design

A piezoelectric flexure mode device comprises: a sheet of polymeric piezoelectric material, poled in a direction parallel with the thickness of the sheet; a relatively thin electrode, being less than about 1% of the total thickness of the device, bonded to one side of the sheet; and a relatively thick electrode, being between about 2% and about 35% of the total thickness of the device, bonded to the other side of the sheet. The second electrode is of a thickness sufficient to substantially maximize a figure of merit, called Deflection Bandwidth Product, representing the deflection of the device times the first resonant frequency of the device, thereby providing a flexure mode device capable of large rapid deflections.