The effects of nonlocal and surface/interface parameters on nonlinear vibrations of piezoelectric nanoresonator

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

doi:10.1177/1045389x19898756

Cited by 5 publications

(4 citation statements)

References 36 publications

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“…The present work is a continuation of our work in 2019 that mentioned in references Hashemi Kachapi et al. [11–16]. But the subject under study and the results in current work are completely separate from our earlier papers.…”

Section: Introductionsupporting

confidence: 61%

“…For this purpose, different boundary condition such as clamped edge (CC), simply supported edge (SS), clamped‐simply supported edge (CS) and, clamped‐free edge (CF) are presented. The material properties for the different layers of Aluminum (Al) nanoshell and piezoelectric layer (PZT‐4) are shown in Tables 1 and 2, respectively [12–16].…”

Section: Resultsmentioning

confidence: 99%

“…The others geometrical parameters for bulk and surface of FC‐MWPENR in all following results are shown in Table 3 [12–16]. Where the value of the mid‐surface radius for different PENR are presented as following: for SWPENR:

R = R_{o u t}

; for DWPENR:

R_{1} = R_{i n}, R_{2} = R_{o u t}

; and for TWPENR:

R_{1} = R_{i n}, R_{2} = R_{m i d}, R_{3} = R_{o u t}

.…”

Section: Resultsmentioning

confidence: 99%

“…Recently, Hashemi Kachapi et al. presented Gurtin–Murdoch surface/interface theory to investigate linear and nonlinear vibration analysis of piezoelectric nanostructures [11–16]. Hosseini et al.…”

Section: Introductionmentioning

confidence: 99%

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Vibration analysis of multi walled piezoelectric nanoresonator conveying fluid flow: Influences of surface/interface energy and walled number effects

Kachapi

2020

Z Angew Math Mech

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In current work, the surface/interface parameters effects and walled number of fluid‐conveying multi walled piezoelectric nanoresonator (FC‐MWPENR) are investigated on dimensionless natural frequency (DNF) with considering viscous fluid velocity. The mentioned nanostructures (FC‐MWPENR) are subjected to nonlinear electrostatic excitation, nonlinear van der Waals interaction and also viscoelastic foundation. For this aim, Hamilton's approach, the Lagrange–Euler's and the assumed mode methods are used. The influences of FC‐MWPENR walled number are considered for analysis of dimensionless natural frequency respect to the surface/interface effect such as Lame's constants (λI,S,μI,Sfalse), residual stress (τ0I,Sfalse), piezoelectric constants (e31psk,e32psk), and mass density (ρI,Sfalse).

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Section: Introductionsupporting

confidence: 61%

Section: Resultsmentioning

confidence: 99%

R = R_{o u t}

; for DWPENR:

R_{1} = R_{i n}, R_{2} = R_{o u t}

; and for TWPENR:

R_{1} = R_{i n}, R_{2} = R_{m i d}, R_{3} = R_{o u t}

.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vibration analysis of multi walled piezoelectric nanoresonator conveying fluid flow: Influences of surface/interface energy and walled number effects

Kachapi

2020

Z Angew Math Mech

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State-of-the-Art of Vibration Analysis of Small-Sized Structures by using Nonclassical Continuum Theories of Elasticity

Nuhu

Safaei

2022

Arch Computat Methods Eng

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Nonlinear Vibration of Truncated Open Conical Nanoshells Under Harmonic Excitation

Mansouri,

Dardel,

Hasan Ghasemi

2024

Int. J. Str. Stab. Dyn.

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The nonlinear forced vibration behavior of truncated open conical nanoshells is investigated in this paper. Nonlocal elasticity theory has been employed to modify the size-dependent effect of micro/nanostructure. Von Karman nonlinear strains are used to consider the geometric nonlinearity of the nanoshells. Using Hamilton’s principle, the equations of motion and boundary conditions of truncated open conical nanoshells are derived. Galerkin method is used to solve the governing equations. Then, to determine the nonlinear forced vibration behavior of truncated open conical nanoshells, complex averaging and arc-length continuation methods are employed. Finally, the effect of nonlocal parameters, cone apex angle, the amplitude of harmonic excitation, structural damping coefficient, and geometrical parameters on the nonlinear frequency response of the truncated open conical nanoshells are discussed.

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The effects of nonlocal and surface/interface parameters on nonlinear vibrations of piezoelectric nanoresonator

Cited by 5 publications

References 36 publications

Vibration analysis of multi walled piezoelectric nanoresonator conveying fluid flow: Influences of surface/interface energy and walled number effects

Vibration analysis of multi walled piezoelectric nanoresonator conveying fluid flow: Influences of surface/interface energy and walled number effects

State-of-the-Art of Vibration Analysis of Small-Sized Structures by using Nonclassical Continuum Theories of Elasticity

Nonlinear Vibration of Truncated Open Conical Nanoshells Under Harmonic Excitation

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