An analytical model considering size effect for calculating the pull-in voltage of electrostatically actuated micro curled cantilever beams

2014 ◽  
Author(s):  
Junhua Zhu ◽  
Wei Su ◽  
Renhuai Liu ◽  
Qinwen Huang ◽  
Fangfang Song
Keyword(s):  
Size Effect ◽  
Analytical Model ◽  
Cantilever Beams ◽  
Electrostatically Actuated

Static Analysis of Electrically Actuated Nano to Micron Scale Beams Using Nonlocal Theory

2011 ◽  
Author(s):  
Y. Alizadeh Vaghasloo ◽  
Abdolreza Pasharavesh ◽  
M. T. Ahmadian ◽  
Ali Fallah
Keyword(s):  
Size Effect ◽  
Algebraic Equation ◽  
Bending Moment ◽  
Nonlocal Theory ◽  
Nonlinear Ordinary Differential Equation ◽  
Beam Deflection ◽  
Electrostatically Actuated ◽  
Size Dependent ◽  
Electrically Actuated ◽  
The One

In this paper, size dependent static behavior of micro and nano cantilevers actuated by a static electric field including deflection and pull-in instability, is analyzed implementing nonlocal theory. Euler-bernoulli assumptions are made to model the relation between deflection of the beam and bending moment. Differential form of the constitutive equation of nonlocal theory is used to find the revised equation for bending moment and substituting in the equilibrium equation of electrostatically actuated beams final nonlinear ordinary differential equation is arrived. Also the boundary conditions for solving the equation are revised and to analyze the size effect better governing equation is nondimetionalized. The one parameter Galerkin method is used to transform this equation to a nonlinear algebraic equation. Arrived algebraic equation is solved utilizing Newton-Raphson method. Size effect on the maximum deflection and deflection shape for various applied voltages is studied. Also effect of beam size on the static pull-in voltage is studied. Results indicate that the dimensionless beam deflection decreases as size decreases while the pull-in voltage increases and specially change of deflection and pull-in voltage is significant for nanobeams.

Test Study on Size Effect of Flexural Capacity of RC Cantilever Beams

2012 ◽  
Vol 446-449 ◽  
pp. 3160-3164 ◽  
Author(s):  
Hong Yu Zhou ◽  
Zhen Bao Li ◽  
Er Wei Guo ◽  
Li Fei Liu
Keyword(s):  
Size Effect ◽  
Cantilever Beams ◽  
Flexural Capacity ◽  
Test Study

Test Study on Size Effect of Flexural Capacity of RC Cantilever Beams

2012 ◽  
Vol 446-449 ◽  
pp. 3160-3164 ◽  
Author(s):  
Hong Yu Zhou ◽  
Zhen Bao Li ◽  
Er Wei Guo ◽  
Li Fei Liu
Keyword(s):  
Size Effect ◽  
Test Data ◽  
Cantilever Beams ◽  
Test Results ◽  
Reinforced Concrete Structure ◽  
Flexural Capacity ◽  
Flexural Members ◽  
Experimental Specimen ◽  
Test Study ◽  
Strength And Ductility

Analysis and calculation methods of reinforced concrete structure at present are based on test results of small-size component. This paper carried out test research on size effect of flexural capacity of RC cantilever beams. Sectional height of the biggest experimental specimen is 1000 mm. Obtaining detailed test data during different loading stage, such as carrying capacity, deflection, steel and concrete strain etc. Through observing test phenomenon and analyzing test data, verifying the safety to calculation formulas for ultimate bearing capacity of flexural members. Strength and ductility reserves show a growing trend with specimen size increasing.

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.

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