Drops on architected elastic substrates: A repertoire of regimes at the turn of a knob

Abstract

Drops on a vibrating substrate can experience a variety of motion regimes, including directional motion and climbing. The key ingredient to elicit these regimes is simultaneously activating the in-plane and out-of-plane degrees of freedom of the substrate with the proper phase difference. This is typically achieved by using a rigid substrate and two independent actuators. However, this framework is unable to establish different motion conditions in different regions of the substrate, achieving spatial variability and selectivity, since this would violate the rigid-body assumption and require a proliferation of actuation channels. Challenging this paradigm, we leverage the inherent elasticity of the substrate to provide the modal and spatial diversity required to establish the desired regimes. To this end, we design deformable substrates exhibiting a rich landscape of deformation modes, and we exploit their multi-modal response to switch between drop motion regimes and select desired spatial patterns, using the excitation frequency as our tuning parameter.