Thi Thu-Huong Nguyen, Tran Van Ke, Pham Quoc Hoa
Faculty of Mechanical Engineering, Hanoi University of Industry, Hanoi, Viet Nam.
Faculty of Mechanical Engineering, Le Quy Don Technical University, Hanoi, Viet Nam.
Heliyon. 2024 Feb 14;10(4):e26150. doi: 10.1016/j.heliyon.2024.e26150. eCollection 2024 Feb 29.
The Galerkin-Vlasov approach based on the improved first-order shear deformation theory (i-FSDT) and nonlocal elasticity theory are proposed to investigate the free vibration response of variable-thickness fluid-infiltrated porous metal foam (FPMF) nanoplates with flexoelectricity effect resting on Pasternak elastic foundation in the hygro-thermal environment. The FPMF nanoplate thickness varies according to both the length and width directions. The novelty of the present work is to consider the influence of the nonlocal's spatial variation and flexoelectric coefficients on the free vibration behavior of the nanoplates. Based on Hamilton's principle, the governing equation of FPMF nanoplate is established. The accuracy of the proposed method is checked by comparing the obtained results with those of available work in the literature. The effects of the parameters such as the flexoelectric coefficient, nonlocal coefficient, porosity coefficient, Skempton factor, temperature and moisture, thickness variation, and various boundary conditions on the natural frequency of the nanoplate are examined.
提出了基于改进的一阶剪切变形理论（i-FSDT）和非局部弹性理论的伽辽金-弗拉索夫方法，以研究在湿热环境下，基于Pasternak弹性地基的具有挠电效应的变厚度流体渗透多孔金属泡沫（FPMF）纳米板的自由振动响应。FPMF纳米板的厚度在长度和宽度方向上均变化。本工作的新颖之处在于考虑了非局部空间变化和挠电系数对纳米板自由振动行为的影响。基于哈密顿原理，建立了FPMF纳米板的控制方程。通过将所得结果与文献中的现有工作结果进行比较，检验了所提方法的准确性。研究了挠电系数、非局部系数、孔隙率系数、斯肯普顿因子、温度和湿度、厚度变化以及各种边界条件等参数对纳米板固有频率的影响。
