Electro-mechanical vibration and stress field of piezoelectric nanobeam with symmetrical FGM core under the low-velocity impact

Li, Lizhi; Ren, Yiru; Jin, Quan

doi:10.1140/epjp/s13360-022-02934-x

Cited by 4 publications

(1 citation statement)

References 51 publications

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“…These studies are very helpful for us to understand their structures and characteristics. The microstructures of nano-reinforced composites have been widely used in the field of nanotechnology in recent years [6,7], such as aerospace, micro-electromechanical systems, and engineering application. However, the research on graphene reinforced FG nanostructures is not enough based on the theory of micromechanics.…”

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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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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Re-examination of nonlinear vibration, nonlinear bending and thermal postbuckling of porous sandwich beams reinforced by graphene platelets

Chen

Shen

2023

Composite Structures

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On Bending of Piezoelectrically Layered Perforated Nanobeams Embedded in an Elastic Foundation with Flexoelectricity

et al. 2023

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Analysis of the electromechanical-size-dependent bending of piezoelectric composite structural components with flexoelectricity has been considered by many researchers because of the developments of nanotechnology and the applicability of piezoelectric composite nanobeam structures in Micro/Nano-Electro-Mechanical Systems (MEMS/NEMS). Therefore, the work investigates the size-dependent electromechanical bending of piezoelectrically layered perforated nanobeams resting on elastic foundations including the flexoelectric effect. Within the framework of the modified nonlocal strain gradient elasticity theory, both the microstructure and nonlocality effects are captured. The governing equilibrium equations including piezoelectric and flexoelectric effects are derived using Hamilton’s principle. Closed forms for the non-classical electromechanical bending profiles are derived. The accuracy of the proposed methodology is verified by comparing the obtained results with the available corresponding results in the literature within a 0.3% maximum deviation. Parametric studies are conducted to explore effects of perforation parameters, elastic foundation parameters, geometric dimensions, nonclassical parameters, flexoelectric parameters, as well as the piezoelectric parameters on the bending behavior of piezoelectrically layered perforated nanobeams. The obtained results demonstrate that incorporation of the nondimensional elastic foundation parameters, Kp = 2 and Kw = 20, results in a reduction in the relative percentage reduction in the maximum nondimensional mechanical transverse deflection due to increasing the perforation filling ratio from 0.2 to 1 from 199.86% to 91.83% for a point load and 89.39% for a uniformly distributed load. On the other hand, with Kp = 5 and Kw = 50, the relative percentage difference of the electromechanical bending deflection due to increasing the piezoelectric coefficient, e311, reaches about 8.7% for a point load and 8.5% for a uniformly distributed load at a beam aspect ratio of 50. Thus, the electromechanical as well as mechanical behaviors could be improved by controlling these parameters. The proposed methodology and the obtained results are supportive in many industrial and engineering applications, i.e., MEMS/NEMS.

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Electro-mechanical vibration and stress field of piezoelectric nanobeam with symmetrical FGM core under the low-velocity impact

Cited by 4 publications

References 51 publications

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

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

Re-examination of nonlinear vibration, nonlinear bending and thermal postbuckling of porous sandwich beams reinforced by graphene platelets

On Bending of Piezoelectrically Layered Perforated Nanobeams Embedded in an Elastic Foundation with Flexoelectricity

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