Four-parameter functionally graded cracked plates of arbitrary shape: A GDQFEM solution for free vibrations

被引：101

作者：

Fantuzzi, Nicholas ^{[1
]}

Tornabene, Francesco ^{[1
]}

Viola, Erasmo ^{[1
]}

机构：

[1] Univ Bologna, Dept Civil Chem Environm & Mat DICAM, Viale Risorgimento 2, I-40136 Bologna, Italy

来源：

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2016年 / 23卷 / 01期

关键词：

free vibrations; functionally graded materials; arbitrary shape; cracked flat plates; generalized differential quadrature finite element method; FINITE-ELEMENT-METHOD; LAMINATED COMPOSITE SHELLS; PLANE STATE STRUCTURES; DOUBLY-CURVED SHELLS; A-POSTERIORI SHEAR; RECTANGULAR-PLATES; DEGENERATE SHELLS; ANNULAR PLATES; CONICAL SHELLS; PANELS;

D O I：

10.1080/15376494.2014.933992

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The dynamic behavior of moderately thick FGM plates with geometric discontinuities and arbitrarily curved boundaries is investigated. The Generalized Differential Quadrature Finite Element Method (GDQFEM) is proposed as a numerical approach. The irregular physical domain in Cartesian coordinates is transformed into a regular domain in natural coordinates. Several types of cracked FGM plates are investigated. It appears that GDQFEM is analogous to the well-known Finite Element Method (FEM). With reference to the proposed technique the governing FSDT equations are solved in their strong form and the connections between the elements are imposed with the inter-element compatibility conditions. The results show excellent agreement with other numerical solutions obtained by FEM.

引用

页码：89 / 107

页数：19

共 66 条

[1] Free vibration, buckling, and static deflections of functionally graded plates [J].