Vibrations suppression of a Euler-Bernoulli beam in contact with a fluid using piezoelectric actuators

Ardekany, Ali Najafi; Mehrvarz, Amin

doi:10.1109/icrom.2016.7886860

Cited by 4 publications

(2 citation statements)

References 12 publications

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“…The AFM probe is usually operated in air and vacuum environments where the microcantilever resonator has the highest quality factor (QF) (Ardekany and Mehrvarz, 2017; Mehrvarz et al, 2019). Nevertheless, application of AFM in liquid environments has relatively low QF (Xu et al, 2010).…”

Section: Introductionmentioning

confidence: 99%

Designing nonlinear observer for topography estimation in trolling mode atomic force microscopy

Sajjadi

Chahari

Pishkenari

et al. 2021

Journal of Vibration and Control

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In this study, a nonlinear observer for high-speed estimation of the sample surface topography in a small duration of the probe transient motion utilizing a 2DOF model of TR-AFM is proposed. Since the time duration to reach the steady-state periodic motion of the oscillating probe in conventional imaging methods is relatively high, the proposed nonlinear observer in this research is able to address this limitation and estimate the surface topography throughout transient oscillation of the microcantilever. With this aim, topography estimation process utilizing a Thau observer without any linearization of the system dynamics is designed and coupled with the system dynamics to achieve sample topography. The stability of the proposed observer coupled with controller is verified by the Lyapunov stability theorem for the first time, and hence, linearization of the model is not required. Simulation results demonstrate the feasibility of the presented approach to estimate different sample heights with high accuracy and a relatively high scanning speed. Additionally, the effects of measurement noise and horizontal nanoneedle tip displacement on the performance of proposed technique are investigated.

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Section: Introductionmentioning

confidence: 99%

Designing nonlinear observer for topography estimation in trolling mode atomic force microscopy

Sajjadi

Chahari

Pishkenari

et al. 2021

Journal of Vibration and Control

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“…Another group of controllers is boundary control methods that design the controller directly for the infinite dimensional main system and do not change it [22]- [24]. These controllers have many functions such as marine riser [25]- [27] and robotic [28].…”

Section: Introductionmentioning

confidence: 99%

Boundary Vibration Control of Strain Gradient Timoshenko Micro-Cantilevers Using Piezoelectric Actuators

Mehrvarz¹,

Salarieh²,

Alasty³

et al. 2018

Preprint

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In this paper, the problem of boundary control of vibration in a clamped-free strain gradient Timoshenko microcantilever is studied. For getting systems closer to reality, the force/moment exertion conditions should be modeled. To this end, a piezoelectric layer is laminated on one side of the beam and the controlling actuation is applied through the piezoelectric voltage. The beam and piezoelectric layer are coupled and modeled at the same time and the dynamic equations and boundary conditions of the system are achieved using the Hamilton principle. To achieve the purpose of eliminating vibration of the system, the control law is obtained from a Lyapunov function using LaSalle's invariant set theorem. The control law has a form of feedback from the spatial derivatives of boundary states of the beam. The finite element method using the strain gradient Timoshenko beam element has been used and then the simulation is performed to illustrate the impact of the proposed controller on the microbeam.

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Imaging performance of trolling mode atomic force microscopy: investigation of effective parameters

2022

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Vibrations suppression of a Euler-Bernoulli beam in contact with a fluid using piezoelectric actuators

Cited by 4 publications

References 12 publications

Designing nonlinear observer for topography estimation in trolling mode atomic force microscopy

Designing nonlinear observer for topography estimation in trolling mode atomic force microscopy

Boundary Vibration Control of Strain Gradient Timoshenko Micro-Cantilevers Using Piezoelectric Actuators

Imaging performance of trolling mode atomic force microscopy: investigation of effective parameters

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