1. Static bending and vibration analysis of piezoelectric semiconductor beams considering surface effects
- Author
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Chunli Zhang, Rongqiao Xu, Cunfa Gao, Yun Wang, Chao Liang, and Zhicheng Zhang
- Subjects
010302 applied physics ,Coupling ,Materials science ,business.industry ,Rigidity (psychology) ,02 engineering and technology ,Electron ,021001 nanoscience & nanotechnology ,01 natural sciences ,Piezoelectricity ,Vibration ,Semiconductor ,0103 physical sciences ,Boundary value problem ,Composite material ,0210 nano-technology ,business ,Beam (structure) - Abstract
Based on the surface elasticity theory established by Gurtin and Murdoch, one-dimensional (1D) multi-field coupling model incorporating surface effects for piezoelectric semiconductor (PS) nanostructures is developed, in which the surface effect is treated as a non-classical mechanical boundary condition. With the derived equations, we conduct a theoretical analysis of static bending and free vibration of a simply supported n-type PS beam with open-circuit and electrically isolated boundary conditions at two ends. Numerical results show that the surface effect can stiffen the PS beam, and thus enhance its natural frequencies. Due to the influence of surface effects, the physical quantities such as the effective rigidity and natural frequencies of the PS beam exhibit a considerably significant size-dependent property when the radius R of the PS beam’s cross-section is smaller than 400 nm. For the free vibration of the PS beam, the motion of electrons causes a damping effect. Both the surface effect and initial concentration of electrons have an effect on the quasi-damping ratio of the PS beam. The surface effect tends to enhance the damping effect.
- Published
- 2021