Abstract
Different from piezoelectric effect, the flexoelectric effect is size dependent and becomes more significant at nanoscale. A nonlinear dynamic model of nanoscale flexoelectric shells is developed based on modified couples stress theory. The governing equations for nonlinear vibration of a flexoelectric cylindrical nanoshell are obtained. The natural frequency and generated voltage of the flexoelectric cylindrical nanoshell is achieved. Effects of geometric dimension, character material length, and vibration amplitude on the natural frequency and the generated voltage are discussed in detail. Results demonstrate that modified couple stress theory and large deformation theory are coupled together and interact with each other in the analyses of natural frequency and electromechanical behavior. Simultaneously taking nonlinearity and couple stress theory into account is necessary.
| Original language | English |
|---|---|
| Pages (from-to) | 559-570 |
| Number of pages | 12 |
| Journal | Journal of Vibration and Control |
| Volume | 25 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Feb 2019 |
Bibliographical note
Publisher Copyright:© The Author(s) 2018.
Keywords
- elastic plates and shells
- flexoelectricity
- nanostructured materials
- piezoelectricity
- strains and stresses