A New Higher Order Shear Deformation Model of Functionally Graded Beams Based on Neutral Surface Position

被引：12

作者：

Zoubida, Khelifa ^{[1
,2
]}

Daouadji, Tahar Hassaine ^{[1
,2
]}

Hadji, Lazreg ^{[1
,2
]}

Tounsi, Abdelouahed ^{[1
]}

El Abbes, Adda Bedia ^{[1
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Mat & Hydrol, Sidi Bel Abbes, Algeria

[2] Univ Ibn Khaldoun, BP 78 Zaaroura, Tiaret 14000, Algeria

来源：

TRANSACTIONS OF THE INDIAN INSTITUTE OF METALS | 2016年 / 69卷 / 03期

关键词：

Functionally graded beam; Neutral surface position; Shear deformation theory; Bending; Vibration; VIBRATION ANALYSIS; PLATES;

D O I：

10.1007/s12666-015-0540-x

中图分类号：

TF [冶金工业];

学科分类号：

0806 ;

摘要：

This paper uses a new refined beam theory based on neutral surface position for the static and free vibration analysis of functionally graded material beams. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. The neutral surface position for a functionally graded beam with its material properties varying in the thickness direction is determined. Based on the present refined shear deformation beam theory and the neutral surface concept, the equations of motion are derived from Hamilton's principle. A static and free vibration frequency is given for different material properties. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

引用

页码：683 / 691

页数：9

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