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作者:

Cao, Dongxing (Cao, Dongxing.) (学者:曹东兴) | Gao, Yanhui (Gao, Yanhui.) | Yao, Minghui (Yao, Minghui.) | Zhang, Wei (Zhang, Wei.)

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EI Scopus SCIE

摘要:

Axially functionally graded (AFG) beams, with variable coefficients in the governing equation, are a novel class of composites structures that have continuous variations in material properties from one component to another. In this paper, the asymptotic development method (ADM) is utilized to investigate the free vibration of uniform AFG beams with different boundary conditions. By decomposing the variable flexural stiffness and mass per unit length into reference invariant parts and variant parts, perturbation theory is introduced to obtain an approximate formula of the natural frequencies of the uniform AFG beams. The numerical results of the proposed method are confirmed by comparing the obtained results with those obtained via finite element analysis and the published literature results, the comparison reveals the proposed method yields an accurate estimate of the first three order natural frequencies of the AFG beam. Moreover, the influences of the gradient parameter and support conditions on the first three natural frequencies are discussed. The proposed analytical method is simple and efficient and can be used to conveniently analyze uniform AFG beams with arbitrary changes in the material properties along the axial direction.

关键词:

Finite segment model Asymptotic development method Natural frequencies Axially functionally graded beams Finite element analysis

作者机构:

  • [ 1 ] [Cao, Dongxing]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Cao, Dongxing]Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

通讯作者信息:

  • 曹东兴

    [Cao, Dongxing]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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来源 :

ENGINEERING STRUCTURES

ISSN: 0141-0296

年份: 2018

卷: 173

页码: 442-448

5 . 5 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:156

JCR分区:1

被引次数:

WoS核心集被引频次: 57

SCOPUS被引频次: 64

ESI高被引论文在榜: 0 展开所有

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