Abstract
Micro-electro-mechanical systems is that the size of component or the movement range is within micro grade, also called the Micromechanical or Microsystems. It is a cross-curricular research field, covering topics such as physics, optics, mechanics, electricity, biology and chemistry. The micro fluid system is an important branch of micro-electro-mechanical systems, it can be widely applied to fields such as medical, chemical analysis and lubricating, etc. Themicro pump is the actuating component of themicro fluid system. The analytical modeling of the micro circular plate devices by electrostatic is problematic due to the complexity of the interactions between the electrostatic coupling effect, residual stress and the nonlinear electrostatic force. Therefore, the dynamic behavior of the micro circular plates is not easily analyzed using traditional analytic methods. Accordingly, this study develops an efficient computational scheme in which the nonlinear governing equation of the coupled electrostatic force acting, residual stress and hydrostatic pressure acting on the micro circular plates system is solved using a hybrid method (H.M.) which differential transformation with finite difference approximation method. In addition, this study shows the dynamic behavior of the micro circular plates by a DC actuating load.
| Original language | English |
|---|---|
| Pages (from-to) | 245-250 |
| Number of pages | 6 |
| Journal | Applied Mathematics and Information Sciences |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2015 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Numerical Analysis
- Computer Science Applications
- Computational Theory and Mathematics
- Applied Mathematics
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Numerical study of nonlinear micro circular plate analysis using hybird method (H.M.). / Liu, Chin-Chia; Li, Jui Ho; Hsieh, Ming Chu.
In: Applied Mathematics and Information Sciences, Vol. 9, No. 1, 01.01.2015, p. 245-250.Research output: Contribution to journal › Article
TY - JOUR
T1 - Numerical study of nonlinear micro circular plate analysis using hybird method (H.M.)
AU - Liu, Chin-Chia
AU - Li, Jui Ho
AU - Hsieh, Ming Chu
PY - 2015/1/1
Y1 - 2015/1/1
N2 - Micro-electro-mechanical systems is that the size of component or the movement range is within micro grade, also called the Micromechanical or Microsystems. It is a cross-curricular research field, covering topics such as physics, optics, mechanics, electricity, biology and chemistry. The micro fluid system is an important branch of micro-electro-mechanical systems, it can be widely applied to fields such as medical, chemical analysis and lubricating, etc. Themicro pump is the actuating component of themicro fluid system. The analytical modeling of the micro circular plate devices by electrostatic is problematic due to the complexity of the interactions between the electrostatic coupling effect, residual stress and the nonlinear electrostatic force. Therefore, the dynamic behavior of the micro circular plates is not easily analyzed using traditional analytic methods. Accordingly, this study develops an efficient computational scheme in which the nonlinear governing equation of the coupled electrostatic force acting, residual stress and hydrostatic pressure acting on the micro circular plates system is solved using a hybrid method (H.M.) which differential transformation with finite difference approximation method. In addition, this study shows the dynamic behavior of the micro circular plates by a DC actuating load.
AB - Micro-electro-mechanical systems is that the size of component or the movement range is within micro grade, also called the Micromechanical or Microsystems. It is a cross-curricular research field, covering topics such as physics, optics, mechanics, electricity, biology and chemistry. The micro fluid system is an important branch of micro-electro-mechanical systems, it can be widely applied to fields such as medical, chemical analysis and lubricating, etc. Themicro pump is the actuating component of themicro fluid system. The analytical modeling of the micro circular plate devices by electrostatic is problematic due to the complexity of the interactions between the electrostatic coupling effect, residual stress and the nonlinear electrostatic force. Therefore, the dynamic behavior of the micro circular plates is not easily analyzed using traditional analytic methods. Accordingly, this study develops an efficient computational scheme in which the nonlinear governing equation of the coupled electrostatic force acting, residual stress and hydrostatic pressure acting on the micro circular plates system is solved using a hybrid method (H.M.) which differential transformation with finite difference approximation method. In addition, this study shows the dynamic behavior of the micro circular plates by a DC actuating load.
UR - http://www.scopus.com/inward/record.url?scp=84924258341&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84924258341&partnerID=8YFLogxK
U2 - 10.12785/amis/091L31
DO - 10.12785/amis/091L31
M3 - Article
AN - SCOPUS:84924258341
VL - 9
SP - 245
EP - 250
JO - Applied Mathematics and Information Sciences
JF - Applied Mathematics and Information Sciences
SN - 1935-0090
IS - 1
ER -