Energy Harvesting From Base Excitation of a Biomimetic Fish Tail Hosting Ionic Polymer Metal Composites

Author(s):  
Youngsu Cha ◽  
Matteo Verotti ◽  
Horace Walcott ◽  
Sean D. Peterson ◽  
Maurizio Porfiri

In this study, we seek to understand the feasibility of energy harvesting from the tail beating motion of a fish through active compliant materials. Specifically, we analyze energy harvesting from the undulations of a biomimetic fish tail hosting ionic polymer metal composites (IPMCs). The design of the biomimetic tail is specifically inspired by the morphology of the heterocercal tail of thresher sharks. We propose a modeling framework for the underwater vibration of the biomimetic tail, wherein the tail is assimilated to a cantilever beam with rectangular cross section. We focus on base excitation in the form of a superimposed rotation about a fixed axis and we consider the regime of moderately large–amplitude vibrations. In this context, the effect of the encompassing fluid is described through a nonlinear hydrodynamic function. The feasibility of harvesting energy from an IPMC attached to the vibrating structure is assessed and modeled via an electromechanical framework. Experiments are performed to validate the theoretical expectations on energy harvesting from the biomimetic tail.

Author(s):  
Jacob D. Davidson ◽  
N. C. Goulbourne

Ionic polymer-metal composites (IPMCs) are smart materials which function as soft sensors and actuators. When a small DC voltage (1–5 V) is applied to an IPMC in a cantilever configuration, ion and solvent transport through the thickness of the polymer membrane causes the transducer to bend towards the anode. For device development and use in engineering applications, actuation is often described at a higher level in terms of an electromechanical coupling between the ionic charge distribution and the stresses developed in the IPMC. In this work we derive a set of relationships describing the coupling response by starting with basic considerations of polymer microstructure and local interactions during actuation. A micromechanical modeling framework is employed in order to account for the material microstructure. Using a generalized expression for electrostatic cluster pressure which takes into account clusters recombining to form larger cluster upon expansion, we define an effective local stiffness which varies with both solvent uptake and charge density in the boundary layers. An equilibrium relationship between solvent uptake and charge density is determined by considering the free energy of the homogenized polymer as the sum of elastic, electrostatic, and chemical components. Stress developed in the boundary layers is then calculated from changes in local stiffness and solvent uptake with respect to charge density. The resulting relationship for electromechanical coupling is found to be in good agreement with previous empirical models, thus serving as a model validation and demonstrating why certain forms for electromechanical coupling can be used to explain a variety of experimental observations. Specifically, we see that stress developed in the boundary layers is well described as a quadratic polynomial in charge density due to the form of the electrostatic cluster pressures.


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