Dynamic analysis of a micro‐cantilever beam in noncontact mode: Classic and strain gradient theories

2021 ◽  
Author(s):  
Mohammad Ali Mohammadi ◽  
Meisam Farajollahi ◽  
Aghil Yousefi‐Koma
Keyword(s):  
Dynamic Analysis ◽  
Cantilever Beam ◽  
Strain Gradient ◽  
Gradient Theories ◽  
Micro Cantilever

Dynamic Analysis of a Micro-Cantilever Subjected to Harmonic Base Excitation via RVIM

2013 ◽  
Vol 332 ◽  
pp. 545-550 ◽  
Author(s):  
Ali Reza Daneshmehr ◽  
Majid Akbarzadeh Khorshidi ◽  
Delara Soltani
Keyword(s):  
Dynamic Analysis ◽  
Cantilever Beam ◽  
Mathematical Formulation ◽  
Beam Theory ◽  
Variational Iteration Method ◽  
High Accuracy ◽  
Base Excitation ◽  
Bernoulli Beam ◽  
Micro Cantilever ◽  
Euler Bernoulli Beam

In this paper, dynamic analysis of a cantilever beam with micro-scale dimensions is presented. The micro-cantilever is subjected to harmonic base excitation and constant force at micro-cantilever tip. By Euler-Bernoulli beam theory assumptions, the mathematical formulation of vibrating micro-cantilever beam is derived using extended Hamilton principle. The governing partial-diffrential equation is solved by reconstruction of variational iteration method (RVIM), with possession of its boundary conditions. The RVIM is an approximate method of solving that answers easy and quick and has high accuracy.

Characteristics of Stress Distribution of Micro-Cantilever of Polycrystalline Copper at the Pull-in Voltage

2013 ◽  
Vol 300-301 ◽  
pp. 1309-1312
Author(s):  
Ji Long Su ◽  
Yan Jiao Zhang ◽  
Xing Feng Lian
Keyword(s):  
Stress Distribution ◽  
Cantilever Beam ◽  
Electrostatic Force ◽  
Polycrystalline Copper ◽  
Maximum Deflection ◽  
Micro Cantilever ◽  
Fixed End ◽  
The Relationship

The Ansys simulate software is utilized to analyze pull-in voltages and stresses of the fixed end of micro- cantilever beam with different thicknesses respectively. Based on the analysis of the electrostatic force at the pull-in voltage, the stress of fixed end of micro-beam and the maximum deflection are obtained. The relationship between the stress of fixed end and thickness is established. The results show that the mutation thickness of the stress and the pull-in voltage are at and respectively , it is consistent with the intrinsic size of the polycrystalline copper micro-beam.

scholarly journals Optimal Design of Capacitive Micro Cantilever Beam Accelerometer

2009 ◽  
Vol 3 (9) ◽  
Author(s):  
Othman Sidek ◽  
Muhamad Azman Miskam ◽  
H.M.T Khaleed ◽  
Mohd Fauzi Alias ◽  
Shukri Korakkottil Kunhi Mohd
Keyword(s):  
Optimal Design ◽  
Cantilever Beam ◽  
Micro Cantilever

Dynamic Analysis of Elastic Beam-Like Mechanism Systems

1989 ◽  
Vol 111 (4) ◽  
pp. 626-629
Author(s):  
W. Ying ◽  
R. L. Huston
Keyword(s):  
Dynamic Analysis ◽  
Dynamic Behavior ◽  
Cantilever Beam ◽  
Equations Of Motion ◽  
Elastic Beam ◽  
Order Perturbation ◽  
First Order ◽  
Geometric Stiffness ◽  
Stiffness Matrices ◽  
First Order Perturbation

In this paper the dynamic behavior of beam-like mechanism systems is investigated. The elastic beam is modeled by finite rigid segments connected by joint springs and dampers. The equations of motion are derived using Kane’s equations. The nonlinear terms are linearized by first order perturbation about a system balanced configuration state leading to geometric stiffness matrices. A simple numerical example of a rotating cantilever beam is presented.

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