Static and free vibration analyses of functionally graded porous variable-thickness plates using an edge-based smoothed finite element method  

作　　者：Trung Thanh Tran Quoc-Hoa Pham Trung Nguyen-Thoi 

机构地区：[1]Department of Mechanics,Le Quy Don Technical University,Hanoi,Viet Nam [2]Division of Computational Mathematics and Engineering,Institute for Computational Science,Ton Duc Thang University,Ho Chi Minh City,Viet Nam [3]Faculty of Civil Engineering,Ton Duc Thang University,Ho Chi Minh City,Viet Nam

出　　处：《Defence Technology（防务技术）》2021年第3期971-986,共16页Defence Technology

基　　金：funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant number 107.02-2019.330。

摘　　要：The main purpose of this paper is to present numerical results of static bending and free vibration of functionally graded porous(FGP) variable-thickness plates by using an edge-based smoothed finite element method(ES-FEM) associate with the mixed interpolation of tensorial components technique for the three-node triangular element(MITC3), so-called ES-MITC3. This ES-MITC3 element is performed to eliminate the shear locking problem and to enhance the accuracy of the existing MITC3 element. In the ES-MITC3 element, the stiffness matrices are obtained by using the strain smoothing technique over the smoothing domains formed by two adjacent MITC3 triangular elements sharing an edge. Materials of the plate are FGP with a power-law index(k) and maximum porosity distributions(U) in the forms of cosine functions. The influences of some geometric parameters, material properties on static bending, and natural frequency of the FGP variable-thickness plates are examined in detail.

关 键 词：Functionally graded porous(FGP)plates Edge-based smoothed finite element method(ES-FEM) Mixed interpolation of tensorial components(MITC) Static bending Free vibration 

分 类 号：TB123[理学—工程力学]