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
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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 | |
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).
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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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