Nonlinear stability analysis of piecewise actuated piezoelectric microstructures

SoltanRezaee, Masoud; Bodaghi, Mahdi; Farrokhabadi, Amin; Hedayati, Reza

doi:10.1016/j.ijmecsci.2019.06.030

Cited by 25 publications

(10 citation statements)

References 56 publications

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“…where n, ϕ r , and q r indicate the number of basic functions, dimensionless mode shapes of the pinned-pinned nanobeam, and dimensionless generalized coordinate, respectively. The normalized mode shapes of a simply supported nanobeam are given by [53] ϕ…”

Section: Numerical Proceduresmentioning

confidence: 99%

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

et al. 2020

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In this article, size-dependent vibrations and the stability of moving viscoelastic axially functionally graded (AFG) nanobeams were investigated numerically and analytically, aiming at the stability enhancement of translating nanosystems. Additionally, a parametric investigation is presented to elucidate the influence of various key factors such as axial gradation of the material, viscosity coefficient, and nonlocal parameter on the stability boundaries of the system. Material characteristics of the system vary smoothly along the axial direction based on a power-law distribution function. Laplace transformation in conjunction with the Galerkin discretization scheme was implemented to obtain the natural frequencies, dynamical configuration, divergence, and flutter instability thresholds of the system. Furthermore, the critical velocity of the system was evaluated analytically. Stability maps of the system were examined, and it can be concluded that the nonlocal effect in the system can be significantly dampened by fine-tuning of axial material distribution. It was demonstrated that AFG materials can profoundly enhance the stability and dynamical response of axially moving nanosystems in comparison to homogeneous materials. The results indicate that for low and high values of the nonlocal parameter, the power index plays an opposite role in the dynamical behavior of the system. Meanwhile, it was shown that the qualitative stability of axially moving nanobeams depends on the effect of viscoelastic properties in the system, while axial grading of material has a significant role in determining the critical velocity and natural frequencies of the system.

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Section: Numerical Proceduresmentioning

confidence: 99%

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

et al. 2020

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“…Piezoelectric materials have electromechanical coupling characteristics-i.e., they may generate mechanical deformation in an electric field and at the same time, electrical polarization under mechanical loads. This important characteristic makes them a good candidate for a variety of electromechanical devices-for example, sensors and actuators used extensively in electromechanical conversion [1][2][3][4]. Piezoelectric sensors are usually a laminated original made by ceramic slice.…”

Section: Introductionmentioning

confidence: 99%

Application of Multi-Parameter Perturbation Method to Functionally-Graded, Thin, Circular Piezoelectric Plates

Yang

et al. 2020

Mathematics

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In this study, a multi-parameter perturbation method is used for the solution of a functionally-graded, thin, circular piezoelectric plate. First, by assuming that elastic, piezoelectric, and dielectric coefficients of the functionally-graded materials vary in the form of the same exponential function, the basic equation expressed in terms of two stress functions and one electrical potential function are established in cylindrical coordinate system. Three piezoelectric coefficients are selected as perturbation parameters, and the established equations are solved by the multi-parameter perturbation method, thus obtaining up to first-order perturbation solutions. The validity of the perturbation solution obtained is verified by numerical simulations, based on layer-wise theory. The perturbation process indicates that adopting three piezoelectric coefficients as perturbation parameters follows the basic idea of perturbation theory—i.e., if the piezoelectricity may be regarded as a kind of introduced disturbance, the zero-order solution of the disturbance system corresponds exactly to the solution of functionally-graded plates without piezoelectricity. The result also indicates that the deformation magnitude of piezoelectric plates is smaller than that of plates without piezoelectricity, due to the well-known piezoelectric stiffening effect.

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“…On the other hand, scientists have made serious attempts to examine the properties of different biological particles, including molecules, biocells, viruses, or bacteria via these tiny instruments, which have opened an important area in the biomedical sciences 9,10 . With the high demand for ultra-sensitive biodetectors, beam-based micro and nanosystems have emerged and developed recently 11–15 . Their fabrication has also attracted much attention due to its difficulties in the ultra-small scale to reach acceptable accuracy in the instrumentation engineering 2,16 .…”

Section: Introductionmentioning

confidence: 99%

A thermosensitive electromechanical model for detecting biological particles

SoltanRezaee

Bodaghi

Farrokhabadi

2019

Sci Rep

Self Cite

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Miniature electromechanical systems form a class of bioMEMS that can provide appropriate sensitivity. In this research, a thermo-electro-mechanical model is presented to detect biological particles in the microscale. Identification in the model is based on analyzing pull-in instability parameters and frequency shifts. Here, governing equations are derived via the extended Hamilton’s principle. The coupled effects of system parameters such as surface layer energy, electric field correction, and material properties are incorporated in this thermosensitive model. Afterward, the accuracy of the present model and obtained results are validated with experimental, analytical, and numerical data for several cases. Performing a parametric study reveals that mechanical properties of biosensors can significantly affect the detection sensitivity of actuated ultra-small detectors and should be taken into account. Furthermore, it is shown that the number or dimension of deposited particles on the sensing zone can be estimated by investigating the changes in the threshold voltage, electrode deflection, and frequency shifts. The present analysis is likely to provide pertinent guidelines to design thermal switches and miniature detectors with the desired performance. The developed biosensor is more appropriate to detect and characterize viruses in samples with different temperatures.

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Nonlinear stability analysis of piecewise actuated piezoelectric microstructures

Abstract: Providing a general nonlinear model of piezoelectric microwires with the ability in adjusting stability conditions to improve the system characteristics. It was implemented by applying the piezo-voltage and/or actuating just a piece of the substrate electrostatically.

Cited by 25 publications

References 56 publications

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

Application of Multi-Parameter Perturbation Method to Functionally-Graded, Thin, Circular Piezoelectric Plates

A thermosensitive electromechanical model for detecting biological particles

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