ZHOU Qiang, ZHANG Zhichun, LONG Zhilin, WU Jingxiang, HUANG Bin, JIN Hua. Vibration of Piezoelectric Nanobeams With Surface Effects[J]. Applied Mathematics and Mechanics, 2020, 41(8): 853-865. doi: 10.21656/1000-0887.400330
Citation: ZHOU Qiang, ZHANG Zhichun, LONG Zhilin, WU Jingxiang, HUANG Bin, JIN Hua. Vibration of Piezoelectric Nanobeams With Surface Effects[J]. Applied Mathematics and Mechanics, 2020, 41(8): 853-865. doi: 10.21656/1000-0887.400330

Vibration of Piezoelectric Nanobeams With Surface Effects

doi: 10.21656/1000-0887.400330
Funds:  The National Natural Science Foundation of China(51471139)
  • Received Date: 2019-10-30
  • Rev Recd Date: 2019-12-25
  • Publish Date: 2020-08-01
  • One-dimensional piezoelectric nanomaterials are widely used in MEMS/NEMS systems, and it is important to effectively characterize their mechanical properties. Based on the Gurtin-Murdoch surface theory, a new model for one-dimensional nanomaterials with surface effects was established. Based on the Timoshenko beam theory, the governing equations for piezoelectric nanowires with surface effects were derived, and the exact solutions of frequency equations and mode equations for piezoelectric nanowires under different boundary conditions were obtained. A method to simulate the surface effects with the finite element software was proposed, and the numerical simulation of piezoelectric nanobeams with surface effects was realized in ABAQUS. The theoretical results are in good agreement with the finite element simulation results, which verifies the correctness and validity of the theoretical model. The surface effect was very significant to the vibration frequencies of nanobeams and somewhat influences the mode shapes.
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