CLOSED-FORM SOLUTIONS FOR FREE VIBRATION FREQUENCIES OF FUNCTIONALLY GRADED EULERBERNOULLI BEAMS

被引：21
|
作者：
Chen, W. R. [1 ]
Chang, H. [1 ]
机构：
[1] Chinese Culture Univ, Dept Mech Engn, Taipei, Taiwan
来源：
MECHANICS OF COMPOSITE MATERIALS | 2017年 / 53卷 / 01期
关键词：
bending vibration; Euler-Bernoulli beam; transformed-section method; functionally graded beam; natural frequency; MODAL-ANALYSIS; FGM-BEAMS; AXIAL FORCE; TIMOSHENKO; FOUNDATION; EULER;
D O I：
10.1007/s11029-017-9642-3
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The bending vibration of a functionally graded Euler-Bernoulli beam is investigated by the transformed-section method. The material properties of the functionally graded beam (FGB) are assumed to vary across its thickness according to a simple power law. Closed-form solutions for free vibration frequencies of FGBs with classical boundary conditions are derived. Some analytical results are compared with numerical results found in the published literature to verify the accuracy of the model presented, and a good agreement between them is observed.
引用
收藏
页码：79 / 98
页数：20
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