SIZE EFFECT ON THE STATIC PULL-IN INSTABILITY OF THE ELECT ROSTATICALLY ACTUATED CANTILEVER MICRO-BEAMS

LU Fei; KONG ShengLi; YUAN YanQi

doi:10.16579/j.issn.1001.9669.2018.06.011

您当前的位置：

首页 >

文章列表页 >

SIZE EFFECT ON THE STATIC PULL-IN INSTABILITY OF THE ELECT ROSTATICALLY ACTUATED CANTILEVER MICRO-BEAMS

更新时间：2022-09-22

- SIZE EFFECT ON THE STATIC PULL-IN INSTABILITY OF THE ELECT ROSTATICALLY ACTUATED CANTILEVER MICRO-BEAMS
- Journal of Mechanical Strength Vol. 40, Issue 6, Pages: 1336-1340(2018)
- 作者机构：
  
  1. 齐鲁工业大学机械与汽车工程学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2018.06.011
  CLC：
扫描看全文
LU Fei, KONG ShengLi, YUAN YanQi. SIZE EFFECT ON THE STATIC PULL-IN INSTABILITY OF THE ELECT ROSTATICALLY ACTUATED CANTILEVER MICRO-BEAMS. [J]. 40(6):1336-1340(2018)
DOI：

LU Fei, KONG ShengLi, YUAN YanQi. SIZE EFFECT ON THE STATIC PULL-IN INSTABILITY OF THE ELECT ROSTATICALLY ACTUATED CANTILEVER MICRO-BEAMS. [J]. 40(6):1336-1340(2018) DOI： 10.16579/j.issn.1001.9669.2018.06.011.

摘要

基于修正偶应力理论研究了静电驱动微悬臂梁在考虑Casimir力时的静态吸合特性。利用最小势能原理得到了微悬臂梁弯曲的控制方程和边界条件,应用广义微分求积法(GDQM)求解后得到静电驱动微悬臂梁吸合电压与无量纲吸合位移的数值解。结果表明,基于修正偶应力理论的静电驱动微悬臂梁的吸合电压明显高于经典理论值,表现出明显的尺寸效应;同时Casimir力降低了微悬臂梁的吸合电压与无量纲吸合位移。当微悬臂梁的初始间隙g远远大于其厚度h时,Casimir力的影响可以忽略不计。

Abstract

The static pull-in instability of the electrostatically actuated cantilever micro-beams incorporating Casimir force was investigated based on the modified couple stress theory. The nonlinear governing equation and boundary conditions were derived using the principle of minimum total potential energy. The pull-in voltages and non-dimensional pull-in displacements of the electrostatically actuated cantilever micro-beams were calculated by applying the generalized differential quadrature method（GDQM）. The results show that the pull-in voltages of the electrostatically actuated cantilever micro-beams based on the modified couple stress theory are greater than the classical results and the size effects are obvious. The presence of the Casimir force can reduce the pull-in voltages and non-dimensional pull-in displacements of the cantilever micro-beams and the influence of the Casimir force can be neglected when the initial gap of the cantilever micro-beams g is far greater than the thickness of the beam h.

关键词

修正偶应力理论尺寸效应吸合特性Casimir力广义微分求积法

Keywords

The modified couple stress theorySize effectPull-in effectCasimir forceGeneralized differential quadrature method

references

Views

192

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

SIZE EFFECT ON THE SNAP-THROUGH AND PULL-IN INSTABILITY OF THE ELECTROSTATICALLY ACTUATED MICRO SHALLOW ARCH

RESEARCH ON SIZE EFFECT OF COMBINED ROTOR CONSIDERING MICROCRACK

RESEARCH ON SIZE EFFECT ON FRACTURE TOUGHNESS OF PIPELINE STEEL

THE STUDY OF SIZE EFFECTS ON MECHANICAL PROPERTIES AND DEFECTS EVOLUTION IN NANO ALUMINUM BASED ON MOLECULAR DYNAMICS SIMULATION

THE INFLUENCE OF SIZE EFFECT ON THE FRACTURE STRENGTH OF UNIDIRECTIONAL GLASS FIBER REINFORCED POLYPROPYLENE COMPOSITE

Related Author

No data

Related Institution

State Key Laboratory of High Performance and Complex Manufacturing,Central South University

College of Mechanical and Electrical Engineering,Central South University

Institute of Light Alloy,Central South University

Province Key Laboratory of Safety of Oil ＆ Gas Storage and Transportation,China University of Petroleum

State Key Laboratory for Strength and Vibration of Mechanical Structures

⁰