scholarly journals Development of Nonlinear Electromechanical Coupled Macro Model for Electrostatic MEMS Cantilever Beam

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 140596-140605
Author(s):  
Akanksha D. Singh ◽  
Rajendra M. Patrikar
2016 ◽  
Vol 139 (2) ◽  
Author(s):  
Mark Pallay ◽  
Shahrzad Towfighian

Parametric resonators that show large amplitude of vibration are highly desired for sensing applications. In this paper, a microelectromechanical system (MEMS) parametric resonator with a flexible support that uses electrostatic fringe fields to achieve resonance is introduced. The resonator shows a 50% increase in amplitude and a 50% decrease in threshold voltage compared with a fixed support cantilever model. The use of electrostatic fringe fields eliminates the risk of pull-in and allows for high amplitudes of vibration. We studied the effect of decreasing boundary stiffness on steady-state amplitude and found that below a threshold chaotic behavior can occur, which was verified by the information dimension of 0.59 and Poincaré maps. Hence, to achieve a large amplitude parametric resonator, the boundary stiffness should be decreased but should not go below a threshold when the chaotic response will appear. The resonator described in this paper uses a crab-leg spring attached to a cantilever beam to allow for both translation and rotation at the support. The presented study is useful in the design of mass sensors using parametric resonance (PR) to achieve large amplitude and signal-to-noise ratio.


2006 ◽  
Vol 16 (9) ◽  
pp. 1800-1810 ◽  
Author(s):  
Subrahmanyam Gorthi ◽  
Atanu Mohanty ◽  
Anindya Chatterjee

Author(s):  
Yu-xi Jiang ◽  
Mao-ze Li ◽  
Jiao Li ◽  
Gao-chuang Bai ◽  
Yuan-zhang Guo ◽  
...  

Author(s):  
Luiz Felipe Ribas Motta ◽  
Guilherme Silva Prado ◽  
Venicio Silva Araujo ◽  
Heinsten Frederich Leal dos Santos

Author(s):  
Arthur Mereles ◽  
Marcus Varanis ◽  
Anderson Langone Silva ◽  
José Manoel Balthazar ◽  
Eduardo Márcio de Oliveira Lopes ◽  
...  

2019 ◽  
Vol 67 (3) ◽  
pp. 142-154 ◽  
Author(s):  
M. Y. Abdollahzadeh Jamalabadi ◽  
Moon K. Kwak

This study presents the analytical solution and experimental investigation of the galloping energy harvesting from oscillating elastic cantilever beam with a rigid mass. A piezoelectric wafer was attached to galloping cantilever beam to harvest vibrational energy in electric charge form. Based on Euler-Bernoulli beam assumption and piezoelectric constitutive equation, kinetic energy and potential energy of system were obtained for the proposed structure. Virtual work by generated charge and galloping force applied onto the rigid mass was obtained based on Kirchhoff's law and quasistatic assumption. Nonlinear governing electro-mechanical equations were then obtained using Hamilton's principle. As the system vibrates by self-exciting force, the fundamental mode is the only one excited by galloping. Hence, multi-degreeof-freedom equation of motion is simplified to one-degree-of-freedom model. In this study, closed-form solutions for electro-mechanical equations were obtained by using multi-scale method. Using these solutions, we can predict galloping amplitude, voltage amplitude and harvested power level. Numerical and experimental results are presented and discrepancies between experimental and numerical results are fully discussed.


Sign in / Sign up

Export Citation Format

Share Document