Semi-inverse method for axially functionally graded beams with an anti-symmetric vibration mode

被引:76
作者
Wu, L
Wang, QS
Elishakoff, I [1 ]
机构
[1] Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA
[2] Anqing Teachers Coll, Dept Phys, Anqing 246011, Anhui, Peoples R China
关键词
D O I
10.1016/j.jsv.2004.08.038
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this paper, we use the semi-inverse method to find the solutions to the dynamic equation of inhomogeneous, functionally graded simply supported beams. For the anti-symmetric mode and the material density (or the Young's modulus) that are both polynomial functions and and have been prespecified, we find the Young's modulus (or the density) in polynomial functions and determine the closed from expression for the natural frequency. (c) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1190 / 1202
页数:13
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