Journal
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
Volume 25, Issue 15-16, Pages 1252-1264Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2016.1149648
Keywords
Mindlin plate theory; nonlinear vibration; nonlocal theory; piezoelectric materials; size effect
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Funding
- National Natural Science Foundation of China [11272040, 11322218]
- Australian Research Council [DP130104358, DP140102132]
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This article investigates the nonlinear vibration of piezoelectric nanoplate with combined thermo-electric loads under various boundary conditions. The piezoelectric nanoplate model is developed by using the Mindlin plate theory and nonlocal theory. The von Karman type nonlinearity and nonlocal constitutive relationships are employed to derive governing equations through Hamilton's principle. The differential quadrature method is used to discretize the governing equations, which are then solved through a direct iterative method. A detailed parametric study is conducted to examine the effects of the nonlocal parameter, external electric voltage, and temperature rise on the nonlinear vibration characteristics of piezoelectric nanoplates.
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