含重力和不同边界条件下输送流体的Timoshenko管道自由振动分析

IF 1.5 4区 工程技术 Q3 MECHANICS
Bo Shui, Yun-dong Li, Yu-mei Luo, Fei Luo
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引用次数: 0

摘要

摘要本文采用弱形式正交元法,对具有重力和不同边界条件下输送流体的Timoshenko管道的自由振动进行了分析。考虑管液质量比、长细比、重力等参数,计算了无量纲频率和临界流速。对不同离散点数下的数值结果进行了测试,结果表明该方法具有较快的收敛速度。将一些数值结果与已有文献进行了比较,证明了弱形式正交元法具有较高的精度和计算效率。本文表明,弱形式正交单元法是分析具有各种边界条件的流体输送管道的优选方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Free vibration analysis of Timoshenko pipes conveying fluid with gravity and different boundary conditions
Abstract In this paper, the free vibration of Timoshenko pipes conveying fluid with gravity and different boundary conditions is analyzed by using the weak form quadrature element method. The dimensionless frequency and critical flow velocity have been calculated considering various parameters such as the mass ratio of pipe to fluid, slenderness ratio, and gravity. The numerical results with different numbers of discrete points are tested, and the results show that the method has a fast convergence speed. Some numerical results are compared with the existing literature, which proves that the weak form quadrature element method has high accuracy and computational efficiency. This paper shows that the weak form quadrature element method is a preferred method for analyzing fluid-conveying pipes with various boundary conditions.
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来源期刊
Journal of Mechanics
Journal of Mechanics 物理-力学
CiteScore
3.20
自引率
11.80%
发文量
20
审稿时长
6 months
期刊介绍: The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world. The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics. The Journal especially welcomes papers that are related to recent technological advances. The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics. Papers which are merely illustrations of established principles and procedures will generally not be accepted. Reports that are of technical interest are published as short articles. Review articles are published only by invitation.
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