Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/Actuators

Azadi, Mohammad; Azadi, Emad; Fazelzadeh, S. Ahmad

doi:10.1590/1679-78252047

Cited by 6 publications

(3 citation statements)

References 21 publications

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“…In this case, piezoelectric layer actuator is turned off and base actuation compensates the amplitude change. When the base is mobile, kinetic energy changes (Azadi et al, 2015):

T = \int_{0}^{L} ρ \overset{y}{true} {(x, t)}^{2} italicdx = \int_{0}^{L} ρ ([], {\dot{y}}_{b} ((), x, t) + \overset{w}{true} ((), x, t)) italicdx

…”

Section: Afm MC Amplitude Controlmentioning

confidence: 99%

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Multilayered non‐uniform atomic force microscope piezoelectric microcantilever control and vibration analysis considering different excitation based on the modified couple stress theory

Korayem

Hashemi

2020

Microscopy Res & Technique

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Atomic force microscope (AFM) is one of the most powerful tools for surface scanning, force measurement, and nano‐manipulation. To improve its performance, vibration and control of AFM micro‐cantilever (MC) should be studied. Hysteresis, as an undesired phenomenon affecting vibration amplitude and phase, is also another important issue to be examined. In this paper, vibration analysis and control of a ZnO non‐uniform multi‐layered piezoelectric MC has been investigated in non‐contact mode. A modified couple stress theory has been used to obtain the strain energy for modeling the MC. In order to control the amplitude, a sliding mode controller (SMC) has been utilized on AFM, due to its application in uncertain and nonlinear systems. For applying the control signal, two methods of piezo and base actuation are studied. The results are compared with proportional integral derivative (PID) control method and it is demonstrated that SMC method reduces the control input close to the surface and increases the accuracy near the surface. In addition to MC control, hysteresis amplitude and phase differences are investigated by applying the Prandtl–Ishlinskii model. Also, surface topography is studied with hysteresis. The simulations show backward phase difference and an increase in amplitude, accordingly.

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“…In this case, piezoelectric layer actuator is turned off and base actuation compensates the amplitude change. When the base is mobile, kinetic energy changes (Azadi et al, 2015):

T = \int_{0}^{L} ρ \overset{y}{true} {(x, t)}^{2} italicdx = \int_{0}^{L} ρ ([], {\dot{y}}_{b} ((), x, t) + \overset{w}{true} ((), x, t)) italicdx

…”

Section: Afm MC Amplitude Controlmentioning

confidence: 99%

“…In addition, base excitation is an important method for controlling the MC amplitude, mostly when nonlinear forces and disturbance are acting on the system. The modeling of a piezoelectric MC with base excitation is studied in (Azadi, Azadi, & Fazelzadeh, 2015). The same method is used in this paper for base excitation.…”

Section: Introductionmentioning

confidence: 99%

Multilayered non‐uniform atomic force microscope piezoelectric microcantilever control and vibration analysis considering different excitation based on the modified couple stress theory

Korayem

Hashemi

2020

Microscopy Res & Technique

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“…Das et al limited the control time with the aid of sliding mode control (SMC) methodology and improved its performance (Das & Mahanta, 2014). Azadi et al inspected the control of support by proposing the base modeling approach and adding the support equations to the dynamic equations of MC (Azadi, Azadi, & Fazelzadeh, 2015). Green and Sader performed their investigations in a viscous liquid and considered the hydrodynamic force as a distributed force acting on the MC (Green & Sader, 2002).…”

Section: Introductionmentioning

confidence: 99%

The effect of liquid medium on vibration and control of the AFM piezoelectric microcantilever

Ghasemi

Korayem

2020

Microscopy Res & Technique

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This article investigates the vibration motion and control of the piezoelectric microcantilever (MC) of the atomic force microscope in the amplitude mode in a liquid environment for both free and forced vibrations. The modeled MC includes two electrode layers, a piezoelectric layer, and the geometric discontinuities as a result of these layers and the change in the MC cross section at the probe-MC contact point is modeled. The equations of motion are derived using Hamilton's principle and then discretized with the aid of the finite element method. The system frequency and time response in the free vibration mode when placed in a liquid medium are compared with experimental results. Also, the sample surface topography in the noncontact mode, when passing through the surface roughness, has been modeled as rectangular and wedge-shaped. Furthermore, the control of piezoelectric MC in two cases of near and far from the sample surface is examined. In the case of far from the surface, the system is controlled using the piezoelectric layer installed on the beam, whereas in the case of near the surface, the piezo is turned off due to the existence of nonlinear forces such as Van der Waals and Derjaguin, Muller, and Toporov contact forces and the control is achieved through the base excitation. For system control modeling, the robust fuzzy sliding mode control (FSMC) approach is utilized and the results are compared with those of the simple sliding mode control (SMC) as well as proportional, integral, and derivative control. The presented FSMC approach can remarkably reduce the chattering phenomenon at the SMC input in the liquid medium and accordingly improve the results compared to the other two methods.

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Vibration Analysis and Control of AFM Microcantilever Based on the MCS Theory Using the FSMC Control in the Air

Korayem

Ghasemi

2019

Arab J Sci Eng

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Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/Actuators

Cited by 6 publications

References 21 publications

Multilayered non‐uniform atomic force microscope piezoelectric microcantilever control and vibration analysis considering different excitation based on the modified couple stress theory

Multilayered non‐uniform atomic force microscope piezoelectric microcantilever control and vibration analysis considering different excitation based on the modified couple stress theory

The effect of liquid medium on vibration and control of the AFM piezoelectric microcantilever

Vibration Analysis and Control of AFM Microcantilever Based on the MCS Theory Using the FSMC Control in the Air

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