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考虑挠曲电效应的复合材料纳米梁静态吸合特性分析

王伊明 王轲 郑世杰

南京航空航天大学学报(英文版)2021,Vol.38Issue(z1):84-92,9.
南京航空航天大学学报(英文版)2021,Vol.38Issue(z1):84-92,9.

考虑挠曲电效应的复合材料纳米梁静态吸合特性分析

Static Pull?In Analysis of a Composite Laminated Nano?beam with Flexoelectric Effect

王伊明 1王轲 1郑世杰1

作者信息

  • 1. 南京航空航天大学航空学院,南京210016,中国
  • 折叠

摘要

Abstract

Based on the new modified couple stress theory and considering the flexoelectric effect of the piezoelectric layers,the Euler Bernoulli nano-beam model of composite laminated materials driven by electrostatically fixed supports at both ends is established. The nonlinear differential governing equations and boundary conditions are derived by the Hamilton principle. The generalized differential quadrature method (GDQM) and the Newton Raphson method are used to numerically solve the differential governing equations. The influence of flexoelectric effect on the static and the dynamic pull-in characteristics of laminated nano-beams is analyzed. The results of the numerical calculation are in a good agreement with those in the literature when the model degenerated into a nano-beam model without flexoelectric effect. The stacking sequence,length scale parameter l and piezoelectric layer applied voltage Vp of the composite will affect the pull-in voltage,frequency and time-domain response of the structure. Given that the flexoelectric effect will reduce the pull-in voltage and dimensionless natural frequency of the structure,the maximum dimensionless displacement at the midpoint of the beam and the period of time-domain response should be increased.

关键词

挠曲电效应/压电效应/吸合/广义微分求积法

Key words

flexoelectric effect/piezoelectric effect/pull-in/generalized differential quadrature method(GDQM)

分类

数理科学

引用本文复制引用

王伊明,王轲,郑世杰..考虑挠曲电效应的复合材料纳米梁静态吸合特性分析[J].南京航空航天大学学报(英文版),2021,38(z1):84-92,9.

南京航空航天大学学报(英文版)

OACSCDCSTPCD

1005-1120

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