Abstract
A hybrid numerical scheme comprising the differential transformation method (DTM) and the finite difference (FD) approximation approach is used to analyze the complex nonlinear pull-in behavior of an electrostatically actuated double-clamped nanobeam subject to Casimir and van der Waals force effects and an axial residual stress. It is shown that, for an initial gap size of 50 nm, the pull-in voltage predicted by the hybrid numerical scheme deviates from that predicted by the universal pull-in formula by just 0.2%. In addition, the results show that the Casimir and van der Waals forces both have a significant effect on the steady and dynamic deflection behaviors of the beam as a function of applied voltage. Finally, the minimum allowable gap without the applied voltage of double-clamped nanobeams can be determined.
| Original language | English |
|---|---|
| Pages (from-to) | 2627-2636 |
| Number of pages | 10 |
| Journal | Sensors and Materials |
| Volume | 30 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2018 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Instrumentation
- Materials Science(all)
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Analysis of pull-in characteristics of double-clamped nanobeam incorporating casimir and van der waals effects. / Wang, Cheng Chi; Lin, Chih Jer; Liu, Chin-Chia; Hsu, Chia Chiang.
In: Sensors and Materials, Vol. 30, No. 11, 01.01.2018, p. 2627-2636.Research output: Contribution to journal › Article
TY - JOUR
T1 - Analysis of pull-in characteristics of double-clamped nanobeam incorporating casimir and van der waals effects
AU - Wang, Cheng Chi
AU - Lin, Chih Jer
AU - Liu, Chin-Chia
AU - Hsu, Chia Chiang
PY - 2018/1/1
Y1 - 2018/1/1
N2 - A hybrid numerical scheme comprising the differential transformation method (DTM) and the finite difference (FD) approximation approach is used to analyze the complex nonlinear pull-in behavior of an electrostatically actuated double-clamped nanobeam subject to Casimir and van der Waals force effects and an axial residual stress. It is shown that, for an initial gap size of 50 nm, the pull-in voltage predicted by the hybrid numerical scheme deviates from that predicted by the universal pull-in formula by just 0.2%. In addition, the results show that the Casimir and van der Waals forces both have a significant effect on the steady and dynamic deflection behaviors of the beam as a function of applied voltage. Finally, the minimum allowable gap without the applied voltage of double-clamped nanobeams can be determined.
AB - A hybrid numerical scheme comprising the differential transformation method (DTM) and the finite difference (FD) approximation approach is used to analyze the complex nonlinear pull-in behavior of an electrostatically actuated double-clamped nanobeam subject to Casimir and van der Waals force effects and an axial residual stress. It is shown that, for an initial gap size of 50 nm, the pull-in voltage predicted by the hybrid numerical scheme deviates from that predicted by the universal pull-in formula by just 0.2%. In addition, the results show that the Casimir and van der Waals forces both have a significant effect on the steady and dynamic deflection behaviors of the beam as a function of applied voltage. Finally, the minimum allowable gap without the applied voltage of double-clamped nanobeams can be determined.
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U2 - 10.18494/SAM.2018.2081
DO - 10.18494/SAM.2018.2081
M3 - Article
VL - 30
SP - 2627
EP - 2636
JO - Sensors and Materials
JF - Sensors and Materials
SN - 0914-4935
IS - 11
ER -