Vibration Analysis of Flexoelectric Nanoplates Based on Nonlocal theory

Zhang, Zhu; Li, Haonan; Yao, Lin‐Quan

doi:10.1109/spawda51471.2021.9445499

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“…where E 1 , E 2 are Young's modules, ν 1 , ν 2 are Poisson's ratios, and G is shear modulus. Moreover, moments are defined as follows [13,16,35]:…”

Section: The Governing Systemmentioning

confidence: 99%

“…Ritz method was applied to the free vibration analysis of a rectangular nanoplate resting on the Winkler and Pasternak foundations by Bastami and Behjat [15]. Zhang et al [16] analyzed vibrations of flexoelectric nanoplates by the differential quadrature method. Influence of elastic foundations on dynamics of small-scale plates is also studied in [17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

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Free vibrations of small-scale plates with complex shape based on the nonlocal elasticity theory

et al. 2022

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Free vibrations of the orthotropic micro/nanoplate with nonclassical shape are investigated. The considered model is based on the nonlocal elasticity theory. The developed method uses the Ritz method as well as R-function theory for the construction of the system of coordinate functions. The linear frequencies are obtained for a rectangular plate with two cutouts on opposite sides, while the boundary conditions are considered of several types, including simply supported and clamped edges. The small-scale effects for various sizes of cutouts are discussed.

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“…where E 1 , E 2 are Young's modules, ν 1 , ν 2 are Poisson's ratios, and G is shear modulus. Moreover, moments are defined as follows [13,16,35]:…”

Section: The Governing Systemmentioning

confidence: 99%