Nonlinear dynamics and stability analysis of piezo-visco medium nanoshell resonator with electrostatic and harmonic actuation

Kachapi, Sayyid H. Hashemi; Dardel, Morteza; Daniali, Hamidreza Mohamadi; Fathi, Alireza

doi:10.1016/j.apm.2019.05.035

Cited by 19 publications

(8 citation statements)

References 20 publications

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“…To derive the non-dimensional dynamical equation of motion, the following normalized parameters are introduced to derive dimensionless equations [48]:…”

Section: Problem Formulationmentioning

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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“…To derive the non-dimensional dynamical equation of motion, the following normalized parameters are introduced to derive dimensionless equations [48]:…”

Section: Problem Formulationmentioning

confidence: 99%

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

et al. 2020

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“…Within the framework of Gurtin-Murdoch surface/interface elasticity theory, the normal stresses and can be written as [4,[10][11][12][13][14] (1) ( , ) = 11( , )…”

Section: -1: Non-classical Shell Theorymentioning

confidence: 99%

“…(1)-(4) such as nonlinear deflection, displacement fields and curvatures, relations of Gurtin-Murdoch surface/interface elasticity theory and etc. can be expressed in full detail in reference [11][12][13].…”

Section: -1: Non-classical Shell Theorymentioning

confidence: 99%

“…Also, vibration analysis of viscoelastic doublewalled carbon nanotube (DWCNT) unified with ZnO layers and subjected to magnetic and electric fields are studied by Fereidoon et al [9]. Recently, Hashemi Kachapi et al presented Gurtin-Murdoch surface/interface theory to investigate linear and nonlinear vibration analysis of piezoelectric nanostructures [10][11][12][13]. Also, nonlinear buckling and postbuckling behavior of functionally graded piezoelectric cylindrical nanoshells under lateral pressure are studied by Fang et al using surface energy effect [14].…”

Section: : Introductionmentioning

confidence: 99%

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Vibration analysis and pull-in instability behavior in multi walled piezoelectric nano-sensor with fluid flow conveyance: influences of surface/interface energy

Kachapi¹

2019

Preprint

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In this work, surface/interface effects for pull-in voltage and viscous fluid velocity effects on dimensionless natural frequency (DNF) of fluid-conveying multi walled piezoelectric nanoresonator (FC-MWPENS) based on cylindrical nanoshell is investigated using the Gurtin–Murdoch surface/interface theory. The nano-sensor is embedded in viscoelastic foundation, nonlinear van der Waals and electrostatic forces. Hamilton’s principle is used for deriving of the governing equations and boundary conditions and also the assumed mode method is used for changing the partial differential equations into ordinary differential equation. The influences of the surface/interface effect such as Lame’s constants, residual stress, piezoelectric constants and mass density are considered for analysis of dimensionless natural frequency respect to viscous fluid velocity and pull-in voltage of FC-MWPENS.

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“…Kachapi et al [68] examined the nonlinear vibrations and pull-in instability of electrostatically piezoelectric nanoresonators by taking into account surface stress effect. They also studied the nonlinear dynamics of piezo-visco medium nanoshell under harmonic excitation based on Gurtin-Murdoch elasticity theory [69]. Liu et al [70] utilized a computational approach for surface effects on the mechanical behaviors of thin nanoplates.…”

Section: Introductionmentioning

confidence: 99%

On size-dependent large-amplitude free oscillations of FGPM nanoshells incorporating vibrational mode interactions

Sahmani

Safaei

2020

Archiv.Civ.Mech.Eng

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At nanoscale, surface free energies of the atoms located on the free surfaces of structures significantly affect their mechanical characteristics. In this study, nonlinear large-amplitude free vibration response of nanoshells prepared from functionally graded porous materials (FGPM) is investigated by taking into account surface stress size effects and vibrational mode interactions. Non-classical shell model is constructed on the basis of the Gurtin-Murdoch type of the surface theory of elasticity having the capability of capturing surface stress size dependency. The accuracy of nonlinear vibration analysis is improved by incorporating the interaction of the main vibration mode and the first, third and fifth symmetric oscillation modes. Moreover, the closed-cell Gaussian-Random field scheme is put to use to extract the mechanical characteristics of FGPM nanoshell. Multiple timescales technique is then applied to achieve surface stress elastic-based nonlinear frequency of FGPM nanoshell analytically for different interactions between vibrational modes. It is revealed that by incorporating the interactions of the main vibration mode and higher symmetric oscillation modes, the behavior of the backbone curves belongs to the nonlinear free oscillation response of FGPM nanoshells changes from hardening to softening schema. It is found that when only the main vibration mode is taken into account, surface elasticity effects makes an enhancement in the significance of the hardening schema. However, by considering the interactions of higher symmetric oscillation modes, surface elasticity effects makes a reduction in the significance of the softening schema.

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Nonlinear dynamics and stability analysis of piezo-visco medium nanoshell resonator with electrostatic and harmonic actuation

Cited by 19 publications

References 20 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

Vibration analysis and pull-in instability behavior in multi walled piezoelectric nano-sensor with fluid flow conveyance: influences of surface/interface energy

On size-dependent large-amplitude free oscillations of FGPM nanoshells incorporating vibrational mode interactions

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