An analytical method for free vibration analysis of functionally graded beams

被引：361
作者：
Sina, S. A. [1 ]
Navazi, H. M. [1 ]
Haddadpour, H. [1 ]
机构：
[1] Sharif Univ Technol, Dept Aerosp Engn, Tehran, Iran
来源：
MATERIALS & DESIGN | 2009年 / 30卷 / 03期
关键词：
Functionally graded beam; Shear deformation theory; Free vibration; LAMINATED COMPOSITE BEAMS; GALERKIN METHOD; ELASTICITY; STABILITY; STRESSES;
D O I：
10.1016/j.matdes.2008.05.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new beam theory different from the traditional first-order shear deformation beam theory is used to analyze free vibration of functionally graded beams. The beam properties are assumed to be varied through the thickness following a simple power law distribution in terms of volume fraction of material constituents. It is assumed that the lateral normal stress of the beam is zero and the governing equations of motion are derived using Hamilton's principle. Resulting system of ordinary differential equations of free vibration analysis is solved using an analytical method, Different boundary conditions are considered and comparisons are made among different beam theories. Also, the effects of boundary conditions, volume fraction and shear deformation on natural frequencies and mode shapes are investigated. (C) 2008 Elsevier Ltd. All rights reserved.
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收藏
页码：741 / 747
页数：7
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