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题名

Free Vibration Analysis of a Nonlinearly Tapered Cone Beam by Adomian Decomposition Method

作者
通讯作者Wu, Nan
发表日期
2018-07
DOI
发表期刊
ISSN
0219-4554
EISSN
1793-6764
卷号18期号:7
摘要
In this paper, the free vibration of a nonlinearly tapered cone beam is analyzed based on the Euler-Bernoulli hypothesis. The characteristic/eigenvalue equation and mode shape functions of the nonlinearly tapered cone beam are derived by the Adomian decomposition method for the first time. Using a modified mathematical procedure, the natural frequencies and mode shape functions of a general nonuniform beam are analytically derived. Several numerical examples for the vibration of uniform and linearly tapered cantilever beams are presented and compared with previous results to validate the accuracy and fast convergence of the present approach. The natural frequencies and mode shapes of vibration of exponentially and trigonometrically tapered cone beams with different taper ratios are presented. The present approach enables engineers to analytically analyze tapered beams of nonuniform configurations used as various structural components in a mathematically efficient way.
关键词
相关链接[来源记录]
收录类别
SCI ; EI
语种
英语
学校署名
其他
资助项目
Natural Sciences and Engineering Research Council of Canada[] ; University of Manitoba[] ; Research Manitoba[]
WOS研究方向
Engineering ; Mechanics
WOS类目
Engineering, Civil ; Engineering, Mechanical ; Mechanics
WOS记录号
WOS:000439097200013
出版者
EI入藏号
20183005596399
EI主题词
Cantilever beams ; Computerized tomography ; Functions ; Natural frequencies
EI分类号
Structural Members and Shapes:408.2 ; Computer Applications:723.5 ; Mathematics:921
来源库
Web of Science
引用统计
被引频次[WOS]:25
成果类型期刊论文
条目标识符http://sustech.caswiz.com/handle/2SGJ60CL/27547
专题工学院_力学与航空航天工程系
作者单位
1.Univ Manitoba, Dept Mech Engn, Winnipeg, MB R3T 5V6, Canada
2.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
推荐引用方式
GB/T 7714
Keshmiri, Alireza,Wu, Nan,Wang, Quan. Free Vibration Analysis of a Nonlinearly Tapered Cone Beam by Adomian Decomposition Method[J]. International Journal of Structural Stability and Dynamics,2018,18(7).
APA
Keshmiri, Alireza,Wu, Nan,&Wang, Quan.(2018).Free Vibration Analysis of a Nonlinearly Tapered Cone Beam by Adomian Decomposition Method.International Journal of Structural Stability and Dynamics,18(7).
MLA
Keshmiri, Alireza,et al."Free Vibration Analysis of a Nonlinearly Tapered Cone Beam by Adomian Decomposition Method".International Journal of Structural Stability and Dynamics 18.7(2018).
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