Transverse Free Vibration Analysis of Buried Pipeline under Simply Supported Restraint

Article Preview

Abstract:

The pipe model is simplified as elastic foundation beam model of Euler-Bernoulli in the paper. Considering the effect of fluid flow in the pipe and outer soil constraint, the transverse vibration differential equation of buried pipeline is derived by using of Hamilton principle. By utilization of the first three-order modal and the orthogoality of main vibration mode, the equation is deduced and transformed into state formulas. The typical numerical example is analyzed by Matlab software. It is found that the natural frequency of pipe conveying fluid usually decreases along with flow velocity improving and the effect of foundation on the pipe stability is apparent.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 446-449)

Pages:

2210-2213

Citation:

Online since:

January 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Jianxiang Jiang and Youling Huang: Journal of Vibration Engineering, Vol.5(1992), p.396

Google Scholar

[2] Feixue Chu: China Mechanical Engineering, Vol.17(2006), p.248

Google Scholar

[3] G. W. Housner: Bulletin of the Seismological Society of American. Vol.37-39(1947), p.17

Google Scholar

[4] Guo dong Zhang and Zhao Wang: Journal of Vibration and Shock, Vol.24(2005), p.30

Google Scholar

[5] Zhongmin Wang, Zhenyu Feng and Fengqun Zhao: Applied Mathematics and Mechanics, Vol.21(2000), p.1060

Google Scholar

[6] Datta S K, in: Dynamic Response of Pipelines to Moving Loads, Proceedings of 8th WCEE,New Delphi(1984)

Google Scholar

[7] Nelson I and Weidlinger P: Journal of Pressure Vessel Technology, Vol.101(1979), p.10

Google Scholar

[8] Takada S and Tanabe: Journal of Pressure Vessel Technology, Vol.109(1987), p.35

Google Scholar

[9] Zhilun Xu: Elasticity(volume 1)(Higher Education Publications, Beijing 1985).

Google Scholar

[10] Youchun Chen: Advanced Programming of Matlab M (Qing Hua Unnivercity Publications, Beijing 2004).

Google Scholar