Variational Iteration Approach for Flexural Vibration of Rotating Timoshenko Cantilever Beams

被引：4

作者：

Chen, Yanfei ^{[1
,2
]}

Dong, Shaohua ^{[1
]}

Zang, Zhipeng ^{[2
]}

Zhang, Qi ^{[1
]}

Zhang, Juan ^{[3
]}

Liu, Xiaoben ^{[1
]}

Zhang, Hong ^{[1
]}

Lou, Fangyu ^{[1
]}

Ao, Chuan ^{[1
]}

机构：

[1] China Univ Petr, Beijing Key Lab Urban Oil & Gas Distribut Technol, Natl Engn Lab Pipeline Safety, Beijing 102249, Peoples R China

[2] Tianjin Univ, State Key Lab Hydraul Engn Simulat & Safety, Tianjin 300072, Peoples R China

[3] HydroChina Beijing Engn Corp, Beijing 100024, Peoples R China

来源：

INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS | 2018年 / 18卷 / 12期

基金：

国家重点研发计划; 美国国家科学基金会;

关键词：

Variational iteration method; flexural vibration; natural frequencies; rotating Timoshenko beam; DIFFERENTIAL TRANSFORMATION; NATURAL FREQUENCIES; UNIFORM;

D O I：

10.1142/S0219455418501547

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

This paper is concerned with the flexural vibration analysis of rotating Timoshenko beams by using the variational iteration method (VIM). Accurate natural frequencies and mode shapes of rotating Timoshenko beams under various rotation speeds and rotary inertia are obtained. The VIM solutions are verified by comparing with some existing results in the literature as well as validated from a comparison study with experimentally measured ones. High accuracy and efficiency of VIM are demonstrated by the use of only a small number of iteration steps required for convergence of the first to the tenth mode frequencies of rotating Timoshenko beam.

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页数：13

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