期刊
JOURNAL OF VIBRATION AND CONTROL
卷 25, 期 3, 页码 559-570出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/1077546318788925
关键词
Cylindrical nanoshell; natural frequency; flexoelectric; modified couple stress theory; large deformation
资金
- Research Innovation Fund of Shenzhen City of China [JCYJ20170811160538023, JCYJ2017041310 4256729]
- Natural Science Foundation of Guangdong Province of China [2016A030311006, 2016A030310367]
- National Natural Science Foundation of China [11672084, 11602072, 11372086]
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.
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