The size-dependent analysis of multilayer micro-cantilever plate with piezoelectric layer incorporated voltage effect based on a modified couple stress theory

Korayem, Moharam Habibnejad; Homayooni, A.

doi:10.1016/j.euromechsol.2016.08.013

Cited by 41 publications

(9 citation statements)

References 28 publications

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“…U b , U a , U s and U spring denote potential energies for the beam, the piezoelectric actuator, the piezoelectric sensor and the spring, respectively. It should be noted that the modified couple stress formulations can also be used to obtain the strain energy (Korayem and Homayooni, 2017).…”

Section: Strain Energymentioning

confidence: 99%

Active vibration control in human forearm model using paired piezoelectric sensor and actuator

Hosseini

Kalhori

Al-Jumaily

2020

Journal of Vibration and Control

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An active vibration control system to monitor and suppress the human forearm tremor is proposed in this article. The forearm is modelled as a uniform flexible continuous beam supported by a pin joint and a rotational spring at one end, whereas the other end is free. The beam is covered with a layer of piezoelectric sensor on its top surface and a layer of piezoelectric actuator on its bottom surface to form a control system, through which a closed-loop active control paradigm is implemented for tremor suppression. The governing equation of motion is derived using the Hamilton principle as well as the Galerkin procedure, leading to a second-order ordinary differential equation in time. The vibration response of the structure to an external harmonic excitation, analogous to tremor, is obtained analytically, enabling parametric study of the control system for tremor reduction. Using the obtained analytical expression, the effects of various parameters such as the control gain, the piezoelectric coefficient and the dielectric constant on the vibration response are studied. The results indicated that the proposed active vibration control system is an effective tool for active vibration control. Increasing the control gain of the control system as well as the magnitude of the piezoelectric constant decreased the amplitude of vibration, whereas the dielectric constant of the piezoelectric material did not show to have a significant effect on the beam vibration. The obtained results will pave the way for further experimental exploration to take and fabricate the most appropriate piezoelectric material and to design an effective active vibration control system for tremor suppression in people with Parkinson’s disease.

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Section: Strain Energymentioning

confidence: 99%

Active vibration control in human forearm model using paired piezoelectric sensor and actuator

Hosseini

Kalhori

Al-Jumaily

2020

Journal of Vibration and Control

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“…1-5 Most microcantilever-based transducers are multi-layer structures including piezoelectric layers, sensitive layers, microelectrodes and reflectors, 6,7 in which the microcantilevers can be utilized for detecting specific mass, chemical compounds and DNA sequences with special coatings. 8,9 Thin coatings on surface of microcantilevers are essential in any applications, such as biological detection and chemical analysis, improving measurement accuracy by increasing the reflectivity.…”

confidence: 99%

Young’s modulus of multi-layer microcantilevers

Deng

et al. 2017

AIP Advances

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A theoretical model for calculating the Young’s modulus of multi-layer microcantilevers with a coating is proposed, and validated by a three-dimensional (3D) finite element (FE) model using ANSYS parametric design language (APDL) and atomic force microscopy (AFM) characterization. Compared with typical theoretical models (Rayleigh-Ritz model, Euler-Bernoulli (E-B) beam model and spring mass model), the proposed theoretical model can obtain Young’s modulus of multi-layer microcantilevers more precisely. Also, the influences of coating’s geometric dimensions on Young’s modulus and resonant frequency of microcantilevers are discussed. The thickness of coating has a great influence on Young’s modulus and resonant frequency of multi-layer microcantilevers, and the coating should be considered to calculate Young’s modulus more precisely, especially when fairly thicker coating is employed.

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“…Beams are one of the most basic and thus most attracted structural elements in the research studies for the test and validation purpose of newly developed methods (Bailey, 1978; Elishakoff and Johnson, 2005; Korayem et al, 2012; Korayem and Homayooni, 2017; Wei, 2001b, 2001c; Wei et al, 2002a). For example Bailey (1978) developed a direct analytical solution, Elishakoff and Johnson (2005) introduced a closed-form solution procedure and all of them tested their techniques on non-uniform beams.…”

Section: Introductionmentioning

confidence: 99%

Discrete singular convolution–polynomial chaos expansion method for free vibration analysis of non-uniform uncertain beams

Seçgin

Kara

Ferguson

2021

Journal of Vibration and Control

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This article enhances the discrete singular convolution method for free vibration analysis of non-uniform thin beams with variability in their geometrical and material properties such as thickness, specific volume (inverse of density) and Young’s modulus. The discrete singular convolution method solves the differential equation of motion of a structure with a high accuracy using a small number of discretisation points. The method uses polynomial chaos expansion to express these variabilities simulating uncertainty in a closed form. Non-uniformity is locally provided by changing the cross section and Young’s modulus of the beam along its length. In this context, firstly natural frequencies of deterministic uniform and non-uniform beams are predicted via the discrete singular convolution. These results are compared with finite element calculations and analytical solutions (if available) for the purpose of verification. Next, the uncertainty of the beam because of geometrical and material variabilities is modelled in a global manner by polynomial chaos expansion to predict probability distribution functions of the natural frequencies. Monte Carlo simulations are then performed for validation purpose. Results show that the proposed algorithm of the discrete singular convolution with polynomial chaos expansion is very accurate and also efficient, regarding computation cost, in handling non-uniform beams having material and geometrical variabilities. Therefore, it promises that it can be reliably applied to more complex structures having uncertain parameters.

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The size-dependent analysis of multilayer micro-cantilever plate with piezoelectric layer incorporated voltage effect based on a modified couple stress theory

Cited by 41 publications

References 28 publications

Active vibration control in human forearm model using paired piezoelectric sensor and actuator

Active vibration control in human forearm model using paired piezoelectric sensor and actuator

Young’s modulus of multi-layer microcantilevers

Discrete singular convolution–polynomial chaos expansion method for free vibration analysis of non-uniform uncertain beams

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