A hierarchic high-order Timoshenko beam finite element

被引：16
|
作者：
Tai, C. -Y. [1 ,2 ]
Chan, Y. J. [1 ]
机构：
[1] Natl Chung Hsing Univ, Dept Mech Engn, Kuo Kuang Rd, Taichung 40227, Taiwan
[2] Ind Technol Res Inst, Machine Tools Technol Ctr, Wenxian Rd, Nantou 54041, Taiwan
来源：
COMPUTERS & STRUCTURES | 2016年 / 165卷
关键词：
Timoshenko beam; p-Version finite element method; TRANSVERSE VIBRATIONS; P-VERSION; SHEAR; SPECTRUM; DYNAMICS;
D O I：
10.1016/j.compstruc.2015.12.002
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Timoshenko beam theory (TBT) is suitable for vibration studies as it describes beams with small models. The super-convergent Timoshenko beam element is improved by adding hierarchic high-order shape functions using Legendre polynomials, and correction terms were added where necessary. The proposed element is validated in static, dynamic and rotordynamic analyses. With the same model size, the fractional error of the 2nd cantilever beam natural frequency with the p-version beam element is 1/100th of the h-version counterpart, and error in estimating natural frequency split in rotors is reduced. The proposed element is also applied to estimate natural frequencies in experiments. (C) 2015 Elsevier Ltd. All rights reserved.
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页码：48 / 58
页数：11
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