Nonlinear Vibration Control for Nanobeam with Time Delay by Field Effect Transistor Sensing

A vibration control signal sensing method is proposed utilizing the grid electrode displacement sensitive effect of field-effect transistors. The signal sensing method is applied to nonlinear resonance delay control of a nanobeam that is used as the core component of nano–microdevices. The nonlinear vibration dynamical model of the nanobeam based on the field-effect tube sensing is established and the differential equation of motion with time delay control is presented. The amplitude frequency response equation and phase frequency response equation of the nanobeam are obtained by analyzing the first-order approximate solution of the primary and superharmonic vibration of the nonlinear equation with multi-scale method. The vibration feedback gain and time delay can affect the vibration amplitude and nonlinear behavior of the nanobeam. The nonlinear vibration of the nanobeam can be adjusted and effectively controlled by selecting appropriate feedback gains and time delays.

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Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation

Shock and Vibration ◽

10.1155/2021/9115938 ◽

2021 ◽

Vol 2021 ◽

pp. 1-12

Author(s):

Xiaofang Kang ◽

Jian Wu ◽

Yewei Zhang ◽

Guoliang Liu ◽

Suhui Zhang ◽

...

Keyword(s):

Control System ◽

Time Delay ◽

Vibration Control ◽

Decentralized Control ◽

Control Strategy ◽

Control Algorithm ◽

Control Method ◽

Control Strategies ◽

Linear Matrix ◽

Feedback Gain

A decentralized control strategy can effectively solve the control problem of the large-scale time delayed structures. In this paper, combining the overlapping decentralized control method, linear matrix inequality (LMI) method, and H∞ control algorithm, overlapping decentralized H∞ control approach of the time delayed structures has been established. The feedback gain matrixes of all subsystems are obtained by this method based on genetic algorithm optimization tools and the specific goal of optimization control. The whole vibration control system of the time delayed structures is divided into a series of overlapping subsystems by overlapping decentralized control strategy. The feedback gain matrixes of each subsystem can be obtained by using H∞ control algorithm to calculate each subsystem. The vibration control of a twenty layers’ antiseismic steel structure Benchmark model was analyzed with the numerical method. The results show that the proposed method can be applied to control system with time delay. The overlapping decentralized control strategies acquire the similar control effects with that of the centralized control strategy. Moreover, the flexibility of the controller design has been enhanced by using overlapping decentralized control strategies.

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Temperature dependence of frequency response characteristics in organic field-effect transistors

Applied Physics Letters ◽

10.1063/1.4711211 ◽

2012 ◽

Vol 100 (18) ◽

pp. 183308 ◽

Cited By ~ 8

Author(s):

Xubing Lu ◽

Takeo Minari ◽

Chuan Liu ◽

Akichika Kumatani ◽

J.-M. Liu ◽

...

Keyword(s):

Temperature Dependence ◽

Frequency Response ◽

Field Effect ◽

Field Effect Transistors ◽

Organic Field Effect Transistors ◽

Response Characteristics ◽

Frequency Response Characteristics

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Vibration control of a telescopic handler using time delay control and commandless input shaping technique

Control Engineering Practice ◽

10.1016/j.conengprac.2003.09.005 ◽

2004 ◽

Vol 12 (6) ◽

pp. 769-780 ◽

Cited By ~ 39

Author(s):

Joon-Young Park ◽

Pyung-Hun Chang

Keyword(s):

Time Delay ◽

Vibration Control ◽

Input Shaping ◽

Time Delay Control ◽

Shaping Technique ◽

Delay Control

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Frequency response of LaAlO3/SrTiO3 all-oxide field-effect transistors

Solid-State Electronics ◽

10.1016/j.sse.2012.05.044 ◽

2012 ◽

Vol 76 ◽

pp. 1-4 ◽

Cited By ~ 7

Author(s):

Qingmin Liu ◽

Lin Dong ◽

Yiqun Liu ◽

Roy Gordon ◽

Peide D. Ye ◽

...

Keyword(s):

Frequency Response ◽

Field Effect ◽

Field Effect Transistors

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High-Frequency Response in Carbon Nanotube Field-Effect Transistors

IEEE Electron Device Letters ◽

10.1109/led.2003.821589 ◽

2004 ◽

Vol 25 (1) ◽

pp. 34-36 ◽

Cited By ~ 45

Author(s):

D.J. Frank ◽

J. Appenzeller

Keyword(s):

Carbon Nanotube ◽

Frequency Response ◽

High Frequency ◽

Field Effect ◽

Field Effect Transistors ◽

High Frequency Response

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Frequency Response of Polymer Field-Effect Transistors Fabricated by a Self-Aligned Method

10.7567/ssdm.2010.p-10-16 ◽

2010 ◽

Author(s):

H. Hatta ◽

Y. Miyagawa ◽

T. Nagase ◽

T. Kobayashi ◽

S. Murakami ◽

...

Keyword(s):

Frequency Response ◽

Field Effect ◽

Field Effect Transistors

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The Research on Single-Disc Rotor Nonlinear Vibration Model and Mechanism

Advanced Engineering Forum ◽

10.4028/www.scientific.net/aef.2-3.954 ◽

2011 ◽

Vol 2-3 ◽

pp. 954-959 ◽

Cited By ~ 2

Author(s):

Min Wu ◽

Jin Fu Yang

Keyword(s):

Frequency Response ◽

Nonlinear Vibration ◽

Duffing Equation ◽

Resonance Amplitude ◽

Vibration Model ◽

Engineering Problems ◽

Characteristics Analysis ◽

Response Equation ◽

New Research ◽

Nonlinear Components

Based on mechanical properties of rotor nonlinear vibration and the assumption of large deformation, the rotor nonlinear vibration model in the form of Duffing equation is constructed from typical engineering problems. According to analytical solutions of Duffing equation, system’s equivalent frequency and frequency response equation are derived. Furthermore, the influences of stiffness, damping and nonlinear components are studied. The single-disc rotor nonlinear vibration experimental results verify the rationality and efficiency of nonlinear vibration model’s construction and Duffing equation’s analytical solution and frequency response equation. The mechanisms of resonance, amplitude jump and hysteresis are also revealed. It provides a new research method for rotor vibration characteristics analysis.

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Dynamics and Realization of a Feedback-Controlled Nonlinear Isolator With Variable Time Delay

Journal of Vibration and Acoustics ◽

10.1115/1.4041369 ◽

2018 ◽

Vol 141 (2) ◽

Cited By ~ 4

Author(s):

Xiuting Sun ◽

Feng Wang ◽

Jian Xu

Keyword(s):

Time Delay ◽

Feedback Control ◽

Nonlinear Vibration ◽

Time Delays ◽

Vibration Suppression ◽

Multiple Scales ◽

Nonlinear Resonance ◽

Variable Time Delay ◽

Frequency Bands ◽

Variable Time

In this paper, time-delayed feedback (TD-FB) control is introduced for a nonlinear vibration isolator (NL-VI), and the isolation effectiveness features are investigated theoretically and experimentally. In the feedback control loop, compound control with constant and variable time delays is considered. First, a stability analysis is conducted to determine the range of control parameters for stable zero equilibrium without excitation. Next, the nonlinear resonance frequency and the nonlinear vibration attenuation are studied by the method of multiple scales (MMS) to demonstrate the mechanism of TD-FB control. The results of the nonlinear vibration performances show that large variable time delays can improve the vibration suppression. Additionally, the mechanism for the time delay is not only to tune the equivalent stiffness and damping but also to induce effective isolation bandgap at high frequency. Therefore, the variable time delay is assumed as the function of frequency to meet different requirements at different frequency bands. The relevant experiment verifies the improvement of designed variable time delay on isolation performances in different frequency bands. Due to the improvement of isolation performances by compound time delay feedback control on nonlinear systems, it can be applied in the fields of ships, flexible structure in aerospace and aviation.

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