Nonlinear vibration control of nano-beam based on capacitive acoustic sensors

2020 ◽  
Vol 64 (1-4) ◽  
pp. 421-429
Author(s):  
Lei Wan ◽  
Canchang Liu ◽  
Weixu Kong ◽  
Yingchao Zhou ◽  
Chicheng Ma
Keyword(s):  
Vibration Control ◽  
Nonlinear Vibration ◽  
Multiple Scales ◽  
Graphene Film ◽  
Primary Resonance ◽  
High Sensitivity ◽  
Vibration Signal ◽  
System Stability ◽  
Acoustic Sensors ◽  
Nonlinear Vibration Control

The nonlinear vibration control of the Euler–Bernoulli beam is studied based on capacitive micro-mechanical acoustic sensors The graphene film has the characteristics of high sensitivity and high accuracy which can be applied to sense the vibration signal. Capacitive micro-mechanical acoustic sensors can be used to detect the acoustic signal of the vibration of the nano-beam. The nonlinear vibration control equation of nano-beam can be established with the displacement and velocity voltage feedback controller based on capacitive micro-mechanical acoustic sensors. The amplitude-frequency response equation of the primary resonance of nano-beam can be gotten by using the multiple scales method. The relationship between the nonlinear vibration of nano-beam and system parameters is investigated. The influencing factors of how to weak system nonlinearity and enhance system stability are analyzed. The static bifurcation behavior of the system is discussed. The numerical results show that the nonlinearity of vibration can be reduced and the stability of the system can be improved by selecting the appropriate control gains and appropriately reducing the amplitude of DC and AC excitation voltages.

scholarly journals Nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeam

2017 ◽  
Vol 37 (2) ◽  
pp. 235-252 ◽  
Author(s):  
Qingmei Gong ◽  
Canchang Liu ◽  
Yingzi Xu ◽  
Chicheng Ma ◽  
Jilei Zhou ◽  
...  
Keyword(s):  
Vibration Control ◽  
Nonlinear Vibration ◽  
Multiple Scales ◽  
Approximate Solutions ◽  
Frequency Equation ◽  
Nanoelectromechanical Systems ◽  
Electrostatically Actuated ◽  
Nonlinear Vibration Control ◽  
Voltage Feedback ◽  
Euler Bernoulli Beam

The model of a clamped–clamped Euler–Bernoulli beam is presented in order to study nonlinear vibration control of electrostatically actuated nanobeam with nanocapacitive sensor, considering primary and superharmonic resonances. The capacitance of nanobeam capacitor changes with the nanobeam deformation. The nanocapacitive sensor is applied to extract vibration signals and to transform enlarged signals into controller to control nanobeam vibrations. The method of multiple scales is used to obtain the first-order approximate solutions and derive the amplitude–frequency equation. The nonlinear vibration characteristics and amplitude–frequency response of nanobeam vibration system are studied under different excitation voltage, feedback gains, and damping. The relationships between amplitude and system parameters are discussed in detail. The presented analytical and numerical simulations show that dynamic response of nanobeam is stable when the appropriate parameters are chosen. This investigation provides a better understanding of the nonlinear vibration of nanoelectromechanical systems devices based on nanobeam.

Nonlinear vibration control of cable net structures with bounded uncertainties

2016 ◽  
Vol 227 (10) ◽  
pp. 2985-3000 ◽  
Author(s):  
Yong-Sheng Wu ◽  
Wei-Zhong Zhang ◽  
Xiu-Yun Meng ◽  
Yu Su
Keyword(s):  
Vibration Control ◽  
Nonlinear Vibration ◽  
Nonlinear Vibration Control ◽  
Bounded Uncertainties

Nonlinear Vibration Control of Flexible Structures Using Nonlinear Modified Positive Position Feedback Approach

2014 ◽  
Author(s):  
Ehsan Omidi ◽  
S. Nima Mahmoodi
Keyword(s):  
Multiple Scales ◽  
Flexible Structures ◽  
Primary Resonance ◽  
Oscillatory System ◽  
Parameter Analysis ◽  
Superior Performance ◽  
Closed Loop System ◽  
Positive Position Feedback ◽  
Position Feedback ◽  
Nonlinear Vibration Control

A new Nonlinear Modified Positive Position Feedback (NMPPF) controller is proposed in this paper to suppress the nonlinear resonant vibrations in flexible structures. The NMPPF uses a nonlinear second-order feedback compensator to overcome the vibrations at exact primary resonance frequency, and a first-order integrating term to lower the remaining peak amplitudes in the frequency domain. For the closed-loop system, an innovative implementation of the Method of Multiple Scales is employed to obtain the modulation equations. Results demonstrate the superior performance of the NMPPF controller compared to the conventional approach i.e. Positive Position Feedback (PPF), as the suppression performance is improved by 62% in the peak amplitude reduction. The presented parameter analysis of the NMPPF controller also proposes the optimal controller parameters to provide the highest suppression level in the nonlinear oscillatory system.

Nonlinear vibration control of a cantilevered fluid-conveying pipe using the idea of nonlinear energy sink

2018 ◽  
Vol 95 (2) ◽  
pp. 1435-1456 ◽  
Author(s):  
K. Zhou ◽  
F. R. Xiong ◽  
N. B. Jiang ◽  
H. L. Dai ◽  
H. Yan ◽  
...  
Keyword(s):  
Vibration Control ◽  
Nonlinear Vibration ◽  
Nonlinear Energy Sink ◽  
Nonlinear Vibration Control ◽  
Energy Sink ◽  
Nonlinear Energy
Sign in / Sign up

Export Citation Format

Share Document