Non-local effect of eccentrically simply supported beam on free vibration

被引：1

作者：

Li, Bojin ^{[1
]}

Wen, Diyun ^{[1
]}

Shang, Xin-Chun ^{[2
]}

Zhang, Rui ^{[1
,3
]}

机构：

[1] Tianjin Univ Sci & Technol, Sch Mech Engn, Tianjin 300222, Peoples R China

[2] Univ Sci & Technol Beijing, Dept Math & Mech, Beijing 100083, Peoples R China

[3] Tianjin Key Lab Integrated Design & Online Monitor, Tianjin 300222, Peoples R China

来源：

FORCES IN MECHANICS | 2023年 / 12卷

关键词：

Natural frequency; Eccentric support; Euler-Bernoulli beam; Mode shape coupling; Non-local effect;

D O I：

10.1016/j.finmec.2023.100218

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Based on the Euler-Bernoulli beam theory, the coupling effect between bending vibration mode shape and longitudinal vibration mode shape of the beam is analyzed when the beam is supported by eccentric simply supported. Under the assumption of small deformation, the vibration control equations and the coupling boundary conditions are obtained through Hamilton's principle and the principle of virtual work variation. The numerical results under three different boundary conditions are given. It shows that the natural frequencies of the beam vary with the eccentricity distances are in complete agreement with the results obtained from finite element analysis and literature. The results strongly proved the validity and correctness of the coupling method in this paper. It also indicates that eccentric simply supported constraints have non-local effects.

引用

页数：7

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