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A Nonlocal IGA Numerical Solution for Free Vibration and Buckling Analysis of Porous Sigmoid Functionally Graded (P-SFGM) Nanoplate
International Journal of Structural Stability and Dynamics Số 16, năm 2022 (Tập 22, trang -)
ISSN: 2194554
ISSN: 2194554
DOI: 10.1142/S0219455422501930
Tài liệu thuộc danh mục:
Article
English
Từ khóa: Aspect ratio; Buckling; Frequency response; Nanostructures; Plates (structural components); Shear deformation; Vibration analysis; Buckling analysis; Free-vibration analysis; Frequency; Functionally graded; Isogeometric analysis; Nanoplates; Nonlocal; Porosity distributions; S-FGM nanoplate; Sigmoids; Porosity
Tóm tắt tiếng anh
The aim of this work is to investigate the free vibration and buckling characteristics of sigmoid functionally graded (FG) nanoplate with the influence of porosity. The modified rule of the mixture is utilized to calculate the effective material properties of porous sigmoid functionally graded (P-SFGM) nanoplate. Three schemes of porosity distribution, including uniform, symmetric and nonsymmetric are investigated. The first-order shear deformation theory is utilized to simulate the displacement fields of P-SFGM nanoplate. Eringen's nonlocal elastic theory and isogeometric analysis (IGA) are used to establish the governing equations for free vibration and buckling analysis of nanoplate structure with small size effect. By using NURBS as a basic function, IGA can fulfill the higher-order derivative requirement of governing equations. The accuracy of the presented solution is verified. By taking the nonlocal parameter into account, the stiffness of the plate is softened. Also, the effects of porosity distribution across the plate's thickness, porosity parameter, material power index, boundary conditions (BCs) and aspect ratio on the frequency response of P-SFGM nanoplate are presented. � 2022 World Scientific Publishing Company.
