Optimization of cantilever piezoelectric harvester to triangular shape with material reduction using finite element analysis

The paper studies the piezoelectric output performance of a piezoelectric harvester with four piezoceramic layers, assessing if the piezoelectric material can be reduced. The shape optimization regards cantilevers with trapezoidal or triangular longitudinal sections, maintaining comparable electric response with the original rectangular structure. The piezoelectric material is subjected to maximum mechanical stress in the fixed constrained area, decreasing gradually down to null stress towards the free tip. It is worthwhile to study if the material reduction would result in an increased effectiveness in terms of voltage output per unit volume of piezoelectric material. The simulations conducted in COMSOL Multiphysics employ Structural Mechanics - Piezoelectric Devices module, in a Multiphysics approach through Piezoelectric Effect, coupling Solid Mechanics with Electrostatics. It was found that the electric response increases per unit volume of piezoelectric material in triangular configuration with material reduction. A comparable voltage output is obtained after reducing the amount of piezoceramic material towards the free tip, while using an inertial mass of the same value. Hence, the piezoelectric material is used more effectively in the case of triangular cantilever with material cutdown than the traditional rectangular shaped cantilever. The paper also addresses shape optimization while maintaining the same mechanical stress, studying the response when increasing the tip mass for the purpose. All the structures render an even more significantly increased power output for matching optimum load resistor.