Research on Critical Length of Flood Impacting Pipeline Within
Internal Flow Based on Differential Quadrature Method

doi:10. 3863/j. issn. 1674 – 5086. 2013. 04. 025

Abstract

Abstract:

In order to understand the critical length of a pipeline span，we briefly introduce for principles and suitability of
differential quadrature method，and its advantages in Finite Element methods. The method could obtain a high accuracy at
a cost of less computing，while more suitable for programming. Introduce the ways of impacting pipeline by flood and its
hazards，analyzing the excitation and natural frequency，also with resonance conditions，presenting dynamic characteristics
effects of inner fluid flow. Meanwhile，introduce dynamic characteristics of impacted pipeline by flood，as well as effect on the
span within internal fluid. Considering the impact from internal fluid and external flood，the formula is established based on
DQM. The equation can be well applied in stable and instable fluid，while taking internal fluid into account. It can be widely
used when calculating the limited length of an impacted span. Combining with a piece of actual pipeline，we present that when
analyzing the impacted pipe，we should take internal and external fluid as well as velocity，pressure，density into account. It is
guidance for inference of calculating limited span in design or urgent maintenance.

Key words: internal fluid, impacted by flood, DQM, critical length, dynamic characteristic equation

Tan Dongjie1，2, Shi Ning1, Li Liangliang2, Geng Lin1, Zhu Quezhi2. Research on Critical Length of Flood Impacting Pipeline Within
Internal Flow Based on Differential Quadrature Method[J]. 西南石油大学学报(自然科学版), DOI: 10. 3863/j. issn. 1674 – 5086. 2013. 04. 025.

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References

[1] 罗刚. 我国油气管道总长度已达9.3 万km[J]. 焊管，

2012，35（7）：8.

[2] 张俊义，杜景水. 洪水造成管道断裂的事故分析[J]. 油

气储运，2000，19（1）：16–19.

[3] 王晓霖，帅健. 洪水中漂浮管道的应力分析[J]. 工程力

学，2011，28（2）：212–216.

Wang Xiaolin，Shuai Jian. Stress analysis of pipeline floating

in flood[J]. Engineering Mechanics，2011，28（2）：

212–216.

[4] 张乐天，刘扬，魏立新，等. 洪水冲击管道的模拟分

析[J]. 管道技术与设备，2006（2）：11–17.

Zhang Letian，Liu Yang，Wei Lixin，et al. Simulation

and analysis of impacted pipe[J]. Pipeline Technique and

Equipment，2006（2）：11–17.

[5] 马廷霞，吴锦强，唐愚，等. 成品油管道的极限悬空

长度研究[J]. 西南石油大学学报：自然科学版，2012，

34（4）：165–173.

Ma Tingxia，Wu Jinqiang，Tang Yu，et al. Maximum suspended

length of production pipeline[J]. Journal of Southwest

Petroleum University：Science & Technology Edition，

2012，34（4）：165–173.

[6] Bellman R，Casti J. Differential quadrature and longterm

integration[J]. Journal of Mathematical Analysis and

Applications，1971，34（2）：235–238.

[7] Civan F，Sliepcevich C M. Differential quadrature for

multidimensional problems[J]. Journal of Mathematical

Analysis and Applications，1984，101（2）：423–443.

[8] Shu C，Richards B E. Parallel simulation of incompressible

viscous flows by generalized differential

quadrature[J]. Computing System in Engineering，1992，

3（1–4）：271–281.

[9] Malik M，Bert C W. Differential quadrature solutions

for steady-state incompressible and compressible lubrication

problems[J]. Journal of Tribology，1994，116（2）：

296–302.

[10] Bert C W，Jang S K，Striz A G. Two new approximate

methods for analyzing free vibration of structural components[

J]. AIAA Journal，1998，26（5）：612–618.

[11] Bruschi R M，Buresti G，Castaldi A，et al. Vortex shedding

oscillations for submarine pipelines：Comparison between

full-scale experiments and analytical models[C].

OTC 4232，1982.

[12] 方华灿. 油气长输管线的安全可靠性分析[M]. 北京：

石油工业出版社，2002.

[13] 帅健，于桂杰. 管道及储罐强度设计[M]. 北京：石油工

业出版社，2006.

[14] 刘剑. 求解动力学问题的微分求积法研究[D]. 南京：南

京航空航天大学，2007.

[15] Shu C，Richards B E. Application of generalized differential

quadrature to solve two dimensional incompressible

navier-stokes equations[J]. Journal for Numerical Methods

in Fluids，1992，15（7）：791–798.