Application of the differential transformation method to vibration analysis of pipes conveying fluid

Application of the differential transformation method to vibration analysis of pipes conveying fluid
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微分变换法在输送流体管道振动分析中的应用

DOI:
10.1016/j.amc.2011.01.116
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发表时间:
2011-04-15
影响因子:
4
通讯作者:
Wang, L.
Wang, L.
中科院分区:
数学2区
文献类型:
--
作者:
Ni, Q.;Zhang, Z. L.;Wang, L.

文献摘要

被引文献

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本文推广了一种相对较新的半解析方法,称为微分变换法(DTM),用于分析具有几种典型边界条件的输送流体的管道的自由振动问题。使用 DTM 获得固有频率和临界流速。将结果与微分求积法 (DQM) 预测的结果以及文献中报告的其他结果进行比较。结果表明,DTM在流体输送管道振动分析中具有较高的精度和计算效率。 (C) 2011 Elsevier Inc. 保留所有权利。
In this paper, a relatively new semi-analytical method, called differential transformation method (DTM), is generalized to analyze the free vibration problem of pipes conveying fluid with several typical boundary conditions. The natural frequencies and critical flow velocities are obtained using DTM. The results are compared with those predicted by the differential quadrature method (DQM) and with other results reported in the literature. It is demonstrated that the DTM has high precision and computational efficiency in the vibration analysis of pipes conveying fluid. (C) 2011 Elsevier Inc. All rights reserved.