Transient Bending Vibration of a Piezoelectric Semiconductor Nanofiber Under a Suddenly Applied Shear Force

We study transient bending vibration of a ZnO piezoelectric semiconductor nanofiber fixed at one end with a suddenly applied shear force at the other end. A one-dimensional model based on the phenomenological theory of piezoelectric semiconductors consisting of the equations of piezoelectricity coupled to the continuity equation of electrons is used. An approximate theoretical analysis is performed, accompanied by a finite element analysis using COMSOL. The evolutions of deflection, electric potential and electron distribution are calculated and examined. It is found that when the fiber reaches its largest deflection, the distributions of the electromechanical fields are qualitatively similar to those in the case of static loading under the same shear force, but the amplitudes of the fields are about twice as large roughly.