TY - JOUR
T1 - Optimal design and system characterization of graphene sheets in a micro/nano actuator
AU - Lai, Hsin Yi
AU - Hsu, Chi Hua
AU - Chen, Chao Kuang
N1 - Funding Information:
This study acknowledges the support provided to this research by the Ministry of Science and Technology of Republic of China under Grant no. MOST103-2221-E-006-237 .
Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.
PY - 2016/5
Y1 - 2016/5
N2 - In this article, an element free Galerkin method (EFGM) is used for dynamic characterization of a capacitive nanoactuator as subjected to a DC voltage by using a proposed nonlocal plate theory. The system governing equations of an electrostatic nanoactuator are first derived based upon the theory of nonlocal Kirchhoff plate. The intermolecular forces, such as Casimir and van der Waals forces, are included in the proposed model. The weak form representation of equilibrium equations is presented based on Hamilton principle and a discrete moving least squares (MLS) approximation for the shape function. Since the MLS approximation does not satisfy the principle of Kronecker delta, a penalty method is then imposed upon to equip as auxiliary boundary conditions. The discrete weak form is adopted to solve for eigenvalue solutions and natural frequencies of the plate. Since numerical experimental results indicate that the number of nodes that scattered in the working domain can affect final solutions dramatically, a calibration scheme is introduced into the proposed modeling system beforehand by using some referred known functions. Eventually, the characterization dynamic behaviors for a nanoactuator with designated DC voltage is made possible. The results indicate that the proposed modeling approach and computational program are accurate and feasible for design and system characterization of single-layered graphene sheets (SLGS) by the adjustment of scale effect to allow the associated pull-in voltage of the device to be optimally designated.
AB - In this article, an element free Galerkin method (EFGM) is used for dynamic characterization of a capacitive nanoactuator as subjected to a DC voltage by using a proposed nonlocal plate theory. The system governing equations of an electrostatic nanoactuator are first derived based upon the theory of nonlocal Kirchhoff plate. The intermolecular forces, such as Casimir and van der Waals forces, are included in the proposed model. The weak form representation of equilibrium equations is presented based on Hamilton principle and a discrete moving least squares (MLS) approximation for the shape function. Since the MLS approximation does not satisfy the principle of Kronecker delta, a penalty method is then imposed upon to equip as auxiliary boundary conditions. The discrete weak form is adopted to solve for eigenvalue solutions and natural frequencies of the plate. Since numerical experimental results indicate that the number of nodes that scattered in the working domain can affect final solutions dramatically, a calibration scheme is introduced into the proposed modeling system beforehand by using some referred known functions. Eventually, the characterization dynamic behaviors for a nanoactuator with designated DC voltage is made possible. The results indicate that the proposed modeling approach and computational program are accurate and feasible for design and system characterization of single-layered graphene sheets (SLGS) by the adjustment of scale effect to allow the associated pull-in voltage of the device to be optimally designated.
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U2 - 10.1016/j.commatsci.2015.12.011
DO - 10.1016/j.commatsci.2015.12.011
M3 - Article
AN - SCOPUS:84959421720
SN - 0927-0256
VL - 117
SP - 478
EP - 488
JO - Computational Materials Science
JF - Computational Materials Science
ER -