Nonlinear Large-Amplitude Oscillations of PFG Composite Rectangular Microplates Based Upon the Modified Strain Gradient Elasticity Theory

被引:29
作者
Chu, Jiafeng [1 ]
Wang, Yanzhao [1 ]
Sahmani, Saeid [2 ]
Safaei, Babak [3 ]
机构
[1] Henan Inst Econ & Trade, Zhengzhou 450000, Peoples R China
[2] Univ Georgia, Sch Sci & Technol, GE-0171 Tbilisi, Georgia
[3] Eastern Mediterranean Univ, Dept Mech Engn, Via Mersin 10, Famagusta, North Cyprus, Turkey
关键词
Micromechanics; size dependency; isogeometric approach; nonlinear dynamics; geometric approximation; FREE-VIBRATION ANALYSIS; BUCKLING ANALYSIS; SURFACE-ENERGY; STRESS; NANOCOMPOSITE; MODELS; BEAMS; SCAFFOLDS; NANOBEAMS; SHAPES;
D O I
10.1142/S0219455422500687
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
In this research work, the nonlinear large-amplitude free vibration characteristics of composite microplates made of a porous functionally graded (PFG) material are addressed numerically in the presence of different size-dependent strain gradient tensors as microscale. Accordingly, for the first time, the effect of each microstructural tensor is analyzed separately on the nonlinear free oscillations of PFG microplates with and without a central cutout. In order to fulfill this goal, the isogeometric computation approach is engaged to integrate the finite element approach into the nonuniform B-spline-based computer aided design tool. Accordingly, the geometry of the microplate with a central cutout is modeled smoothly to verify C-1 continuity based upon a refined higher-order plate formulations. In this regard, the microstructural-dependent frequency responses associated with the nonlinear free oscillations of microplates are traced. In both the cases of simply supported and clamped boundary conditions, it was revealed that the fundamental frequency is enhanced about 1.20% by considering only the symmetric rotation gradient tensor, about 3.27% by taking only the dilatation gradient tensor, and 9.43% by considering only the deviatoric stretch gradient tensor. On the other hand, the anisotropic character of PFG composite microplates results in an unsymmetrical frequency response curve, as the nonlinear frequencies associated with negative oscillation amplitudes are a bit higher than those of positive ones.
引用
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页数:34
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