Analytical Analysis of Bending Mode Piezoelectric Energy Harvester

This paper mainly derives the analytical model of the basic cantilever energy harvester based on Euler-Bernoulli beam theory. Starting from the Hamiltonian form of total energy equation, the bending mode shapes and electromechanical dynamic equations are derived. By solving the constitutive electromechanical dynamic equation, the frequency transfer functions of output voltage and power are then obtained. Through a case study of a unimorph piezoelectric energy harvester, this analytical modeling method is validated by the finite element method.