Parametric study on nonlinear vibration of FG-GNPRC dielectric beam with Kelvin–Voigt damping

Qian, Qiangfei; Zhu, Fan; Fan, Yucheng; Hang, Ziyan; Feng, Chun-Bo; Yang, Jie

doi:10.1016/j.tws.2023.110617

Cited by 12 publications

(2 citation statements)

References 38 publications

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“…Many scholars studied the dynamic response of FG graphene nanoplates-reinforced composite structures with dielectric property for damped resonance [53][54][55][56]. Enlightened by this and considering the effect of energy dissipation, the TED analysis of the FG microplate resonators reinforced with GPLs was studied.…”

Section: Validationmentioning

confidence: 99%

Size‐dependent thermoelastic damping analysis in functionally graded graphene nanoplatelets reinforced composite microplate resonators based on Moore–Gibson–Thompson thermoelasticity

Peng,

Zenkour,

Gao

et al. 2024

Z Angew Math Mech

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Graphene nanoplatelets (GPLs) are considered to be a desirable reinforcing nanofillers for nanocomposite materials owing to their superior thermo‐mechanical properties. Meanwhile, thermoelastic damping (TED), as a dominant intrinsic dissipation mechanisms, is a major challenge in optimizing high‐performance micro/nano‐resonators. Nevertheless, the classical TED models fail at the micro/nano‐scale due to without considering the influences of the size‐dependent effect and the thermal lagging effect. The present work focuses on investigating TED analysis of functionally graded (FG) microplate resonators reinforced with GPLs based on the modified coupled stress theory (MCST) and the Moore–Gibson–Thompson (MGT) heat conduction model. Four patterns of GPLs distribution including the UD, FG‐O, FG‐X and FG‐A pattern distributions are taken into account and the effective mechanical properties of the plate‐type nanocomposite are evaluated based on the Halpin–Tsai model. The energy equation and the transverse motion equation in the Kirchhoff microplate model are formulated, and then, the closed‐from analytical solution of TED is solved by complex frequency method. The influences of the various parameters involving the material length‐scale parameter, the thermal phase lag of the heat flux and the total weight fraction of GPLs on the TED are discussed in detail. The obtained results show that the effects of the modified parameter on the TED are pronounced. This results provide a more reasonable theoretical approach to estimate TED in the design of FG microplate resonators reinforced with GPLs with high performance.

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Section: Validationmentioning

confidence: 99%

Size‐dependent thermoelastic damping analysis in functionally graded graphene nanoplatelets reinforced composite microplate resonators based on Moore–Gibson–Thompson thermoelasticity

Peng,

Zenkour,

Gao

et al. 2024

Z Angew Math Mech

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“…Zhao et al [35], used the strain gradient theory to analysis the nonlinear behaviors of the microbeam, the results highlighted the importance of considering the nonlinearity and the size effect in microstructures. Qian et al [36], studied nonlinear vibration of FG graphene platelet-enhanced dielectric beams. They found that the shear proportionality constants of Kelvin-Voigt damping play important roles in vibration.…”

Section: Introductionmentioning

confidence: 99%

Strain gradient theory-based vibration analyses for functionally graded microbeams reinforced by GPL

Zhang,

Yao

2024

Phys. Scr.

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On the basis of modified strain gradient theory (MSGT), the free vibration of graphene nanoplatelets (GPL) reinforced functionally graded (FG) microbeam on elastic foundation is studied. Firstly, material properties of the composites are calculated by Halpin-Tsai model and linear mixed model. Then, the MSGT and Reddy beam theory are adopted to establish the fundamental equations of the microbeam on the elastic foundation. And the governing differential equations related to the size effect are derived by the Hamiltonian principle and solved by the Navier method. Finally, the influences of the graded distribution, mass fraction, geometric shape of GPL and size effect on the vibration behaviors are discussed in detail. Results show that these parameters have significant influence on the natural frequencies. The methods to improve the natural frequencies of the microbeams are proposed considering the influence of internal microstructure on the overall characteristics. The research results are of great significance to design this kind of micro-nano structures.

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Nonlinear static bending and dynamic behaviors of graphene platelets reinforced dielectric porous arches

Yang,

Wu,

Zhao

et al. 2023

Aerospace Science and Technology

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Parametric study on nonlinear vibration of FG-GNPRC dielectric beam with Kelvin–Voigt damping

Cited by 12 publications

References 38 publications

Size‐dependent thermoelastic damping analysis in functionally graded graphene nanoplatelets reinforced composite microplate resonators based on Moore–Gibson–Thompson thermoelasticity

Size‐dependent thermoelastic damping analysis in functionally graded graphene nanoplatelets reinforced composite microplate resonators based on Moore–Gibson–Thompson thermoelasticity

Strain gradient theory-based vibration analyses for functionally graded microbeams reinforced by GPL

Nonlinear static bending and dynamic behaviors of graphene platelets reinforced dielectric porous arches

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