Dynamic response model and equivalent solution method of large-diameter buried energy transportation pipeline under moving load
Section snippets
Credit author statement
Qian (First name) Xu (Family name), Liqiong (First name) Zhong (Family name): Methodology, Software, Writing-Original draft preparation. Mengjie (First name) Shu (Family name), Zhenwei (First name) Zou (Family name): Conceptualization, Supervision, Writing-Review & Editing. Gang (First name) Yang (Family name), Qiang (First name) Zheng (Family name): Visualization, Investigation, Writing-Review & Editing. Xingli (First name) Chen (Family name), Nevzat (First name) AKKURT (Family name): Data
Mathematical description of VSP mechanical action model
The calculation process of pipeline deformation under vehicle load consists of three parts. The first is the calculation of vehicle load, which involves the action area and influence range of the load. The second is the calculation of pipeline-soil interaction, which derives the earth pressure around the pipeline through the basic equations of structural mechanics. The third is to use the Iowa formula (Spangler and Shafer, 1938) to solve the deformation of the flexible pipeline.
Numerical simulation solution of VSP
To solve pipeline deformation under vehicle load, it is necessary to determine the vehicle load action form; the physics, geometry, balance equations of the pipe-soil interaction; and the corresponding boundary conditions. Only after these are determined can pipeline deformation theory be applied. Regarding deformation as a two-dimensional problem, there are 12 equations from Eqs. (7)–(18). Next, the vehicle load stress boundary conditions, pipe soil displacement constraint boundary conditions,
Results and analysis
The VSP model described above was used to simulate the central section of the pipeline under load (z = 0 m) from different vehicle loads and positions. Combined with the pipeline stress distribution and numerical calculation results, the process of vehicle driving was converted into a process of dynamic loading in the central location.
Conclusion
This paper described the mechanics of the VSP and proposed a VSP simulation calculation model to analyze the stress field of the large-diameter energy transportation pipeline under the load of the vehicle. The solution was derived by the FEM, and the corresponding equivalent loading method of moving load was proposed.
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When the vehicle load increased, the pipeline top shown a linear increase, reached 58.6 MPa at 0.35 MPa, which was 3.08 MPa larger than the bottom stress value of the pipeline with
Declaration of competing interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Acknowledgments
The authors gratefully acknowledge the National Environmental and Energy Base for International Science & Technology Cooperation. And this work is supported by the Fundamental Research Funds for the National Natural Science Foundation of China (No.52006008, 62033014, 11801029), Basic and Applied Basic Research Fund of Guangdong (2019A1515110743), and the Central Universities of China (FRF-TP-18-074A1, FRF-BD-20-09 A, FRF-BD-20-02 A), and the Youth Teacher International Exchange & Growth Program
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