Nonlinear Analysis of a Bending Piezoelectric Semiconductor Beam

Based on the assumption of the first-order displacement of the beam bending, this paper obtains the nonlinear equations of the one-dimensional n-type piezoelectric semiconductor beam considering the Von-Kármán strain by simplifying the piezoelectric semiconductor three-dimensional governing equation, the electrostatic balance equation and the charge conservation equation. The nonlinear solution of the one-dimensional piezoelectric semiconductor beam with the free end subjected to the bending moment load is carried out and numerical results are given.