A closed-form model for the pull-in voltage of electrostatically actuated cantilever beams

2005 ◽  
Vol 15 (4) ◽  
pp. 756-763 ◽  
Author(s):  
S Chowdhury ◽  
M Ahmadi ◽  
W C Miller
Keyword(s):  
Closed Form ◽  
Cantilever Beams ◽  
Electrostatically Actuated ◽  
Form Model

scholarly journals Closed form Models for Pull-In Voltage of Electrostatically Actuated Cantilever Beams and Comparative Analysis of Cantilevers and Microgripper

2012 ◽  
Vol 63 (4) ◽  
pp. 242-248 ◽  
Author(s):  
Kalaiarasi Ramakrishnan ◽  
Hosimin Srinivasan
Keyword(s):  
Comparative Analysis ◽  
Closed Form ◽  
Maximum Deviation ◽  
Cantilever Beams ◽  
Mems Devices ◽  
Element Analysis ◽  
3D Finite Element ◽  
Electrostatically Actuated ◽  
Wide Range ◽  
Form Model

Closed form Models for Pull-In Voltage of Electrostatically Actuated Cantilever Beams and Comparative Analysis of Cantilevers and MicrogripperPull-in voltage Evaluation is significant for the design of electrostatically actuated MEMS devices. In this work simple closed form models are derived for computation of pull-in voltage of cantilever beams. These models are obtained based on five different capacitance models suitable for wide range of dimensions. Using these models pull-in voltages are computed for a range of dimensions and the results are compared with the experimentally verified 3D finite element analysis results. The results show that, for every given range of dimension, choice of the model changes for the evaluation of the pull-in voltage with a maximum deviation of 2%. Therefore for a given range of dimension appropriate closed form model is to be chosen for accurate computation of pull-in voltage. Computation of pull-in voltage of microgripper further validates the closed form models. The results again show that for a given range of dimension only a particular model evaluates the pull-in voltage with less error.

Closed form model of radiated EM field from wired systems and analysis of coupling impact

2017 ◽  
Author(s):  
A. Liakouti ◽  
A. Benbassou ◽  
C. Pasquier ◽  
C. Faure ◽  
K. El Khamlichi Drissi ◽  
...  
Keyword(s):  
Closed Form ◽  
Form Model ◽  
Em Field

Parametric Deflection Approximations for End-Loaded, Large-Deflection Beams in Compliant Mechanisms

1995 ◽  
Vol 117 (1) ◽  
pp. 156-165 ◽  
Author(s):  
L. L. Howell ◽  
A. Midha
Keyword(s):  
Closed Form ◽  
Large Deflection ◽  
Numerical Solutions ◽  
Compliant Mechanisms ◽  
Elliptic Integral ◽  
Cantilever Beams ◽  
Simple Method ◽  
Body Angle ◽  
Analysis And Design ◽  
Integral Solutions

Geometric nonlinearities often complicate the analysis of systems containing large-deflection members. The time and resources required to develop closed-form or numerical solutions have inspired the development of a simple method of approximating the deflection path of end-loaded, large-deflection cantilever beams. The path coordinates are parameterized in a single parameter called the pseudo-rigid-body angle. The approximations are accurate to within 0.5 percent of the closed-form elliptic integral solutions. A physical model is associated with the method, and may be used to simplify complex problems. The method proves to be particularly useful in the analysis and design of compliant mechanisms.

Generalized closed-form models for pull-in analysis of micro cantilever beams subjected to partial electrostatic load

2012 ◽  
Vol 185 ◽  
pp. 109-116 ◽  
Author(s):  
Cuong Do ◽  
Maryna Lishchynska ◽  
Kieran Delaney ◽  
Martin Hill
Keyword(s):  
Closed Form ◽  
Cantilever Beams ◽  
Micro Cantilever

Stability of Thin Web Composite Cantilever Beams of Random Lamination

2020 ◽  
Vol 20 (13) ◽  
pp. 2041016
Author(s):  
Hayder A. Rasheed ◽  
Habiburrahman Ahmadi ◽  
Abdul H. Halim
Keyword(s):  
Shear Strain ◽  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
Cantilever Beams ◽  
Analytical Treatment ◽  
Lateral Curvature ◽  
Coupling Stiffness ◽  
Torsional Stability ◽  
Twisting Angle

This study addresses the analytical treatment of a closed-form buckling equation for lateral-torsional stability of thin web composite cantilever beams under mid-height tip force. The beam is composed of random ply fiber orientations. Classical lamination theory is embedded into the Vlasov plate formulation to make up the framework of the analytical treatment. A closed-form solution is realized when an innovative dimensional reduction is extended to the 3D constitutive stiffness matrix. This was made possible through a two-step process in which the shear strain, lateral curvature, and twisting curvature are retained first. By condensing the shear strain variable, effective lateral, torsional, and coupling stiffness terms were formulated. Applying the equilibrium conditions in the deformed configuration, two differential equations are obtained in terms of the lateral curvature and twisting angle. Eliminating the lateral curvature, the twisting angle differential equation with nonconstant coefficients is generated. This equation is solved using a hybrid numerical-analytical approach yielding an analytical buckling expression. Finite element results are generated to verify the accuracy of the buckling load predictions indicating very good correlation with the buckling equation results regardless of the random lamination applied.

A Closed-Form Model for Position-Dependent Potential across the Channel in DG-MOSFETs

2009 ◽  
Vol 26 (1) ◽  
pp. 018501 ◽  
Author(s):  
Li Meng ◽  
Tang Jian-Shi ◽  
Lv Yang ◽  
Yu Zhi-Ping
Keyword(s):  
Closed Form ◽  
Form Model ◽  
Dependent Potential
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