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In this paper, we investigate small amplitude oscillations of a thin shape-morphing plate submerged in a quiescent, Newtonian, incompressible, viscous fluid in the vicinity of a solid wall. The plate undergoes prescribed, time-varying shape-morphing deformation in phase with the transverse oscillation, consisting of periodic curvature to an arc of a circle. As the presence of the solid wall in close proximity of the oscillating plate is known to significantly increase hydrodynamic damping on the structure due to squeeze film effects, shape-morphing is considered as a potential strategy to modulate and control hydrodynamic forces, as well as power dissipation. Via a rigorous formulation based on unsteady Stokes equations and the boundary element method, we show that the shape-morphing strategy is effective in reducing hydrodynamic forces on the structure as well as hydrodynamic power dissipation due to viscous effects. Additionally, such a reduction is enhanced as the gap between the oscillating plate and the solid wall is reduced. We present a comprehensive parametric study which investigates the effect of oscillation frequency, gap size, and imposed curvature on the hydrodynamic performance of the system and support our findings with asymptotics from inviscid flow theory and lubrication theory. These findings are of direct interest and applicability in several cantilever-based sensing and actuation systems, such as atomic force microscopy and microelectromechanical systems in liquids. [ABSTRACT FROM AUTHOR]

A novel contact resonance atomic force microscopy (CR-AFM) method utilizing a two-dimensional Kirchhoff-Love plate framework is presented. Theoretical formulations are discussed, and the classic CR-AFM problem is re-cast into an easily implementable generalized eigenvalue problem. An analysis is performed to determine the optimal placement of the sensing tip for plates of different aspect ratios. Finally, an experiment is conducted using the finite element method to numerically verify the proposed technique. By using a plate geometry for CR-AFM and optimizing the sensor tip location, we achieve a higher measurement sensitivity and modal density when compared with standard AFM cantilever geometries. A higher modal density allows CR-AFM measurement to be conducted using more information extracting eigenmodes in a given frequency bandwidth. [ABSTRACT FROM AUTHOR]