Natural frequencies of a functionally graded cracked beam using the differential quadrature method

被引：65
|
作者：
Matbuly, M. S. [1 ]
Ragb, Ola [1 ]
Nassar, M. [2 ]
机构：
[1] Zagazig Univ, Fac Engn, Dept Engn Math & Phys, Zagazig, Egypt
[2] Cairo Univ, Fac Engn, Dept Engn Math & Phys, Giza 12211, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 06期
关键词：
Crack; Vibration; Beam; Pasternak foundation; Line spring model; Differential quadrature method; FREE-VIBRATION ANALYSIS; ARBITRARY NUMBER; FORCED VIBRATION; DYNAMIC-BEHAVIOR; TIMOSHENKO; FRACTURE; PLATES;
D O I：
10.1016/j.amc.2009.08.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present work is concerned with the free vibration analysis of an elastically supported cracked beam. The beam is made of a functionally graded material and rested on a Winkler-Pasternak foundation. The line spring model is employed to formulate the problem. The method of differential quadrature is applied to solve it. The obtained results agreed with the previous similar ones. Further, a parametric study is introduced to investigate the effects of the geometric and elastic characteristics of the problem on the values of natural frequencies and mode shape functions. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：2307 / 2316
页数：10
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