Department of Civil Engineering, Indian Institute of Technology Bombay, Powai, Mumbai, 400076, India.
Sci Rep. 2023 Mar 27;13(1):4995. doi: 10.1038/s41598-023-31615-7.
Failure of pipelines below road pavement results to the disruption of both the traffic movement and the consumers of the pipelines. Intermediate safeguard layer can be used to protect the pipeline from heavy traffic loads. The present study proposed analytical solutions to obtain the dynamic response of buried pipe below road pavement with and without considering safeguard based on the concept of triple and double beam system respectively. Pavement layer, safeguard and the pipeline are considered as Euler Bernoulli's beam. Advanced soil model is used (viscoelastic foundation with shear interaction between springs) to model the surrounding soil. Self-weight of soil is also considered in the present study. The obtained governing coupled differential equations are solved adopting finite sine Fourier transform, Laplace transform and their inverse transformation. The proposed formulation is initially verified with the past numerical and analytical studies and then validated with the three-dimensional finite element based numerical analysis. From parametric study it is perceived that the stability of the pipe can be significantly increased by providing intermediate barrier. Further, pipe deformation is increases with increasing traffic loads. At very high-speed range (> 60 m s), pipe deformation is significantly rises with increasing traffic speed. The present study can be useful in preliminary design stage before performing rigorous and expensive numerical or experimental study.
道路路面以下管道的失效会导致交通流量和管道使用者的中断。中间防护层可用于保护管道免受重载交通的影响。本研究基于三梁系统和双梁系统的概念，分别提出了分析解决方案，以获得考虑和不考虑防护时埋地管道在道路路面以下的动力响应。路面层、防护层和管道均被视为欧拉-伯努利梁。采用先进的土模型（带剪切弹簧相互作用的粘弹性基础）来模拟周围土壤。本研究还考虑了土壤的自重。通过采用有限正弦傅里叶变换、拉普拉斯变换及其逆变换，对所得到的控制耦合微分方程进行求解。本文的公式首先通过过去的数值和分析研究进行验证，然后通过基于三维有限元的数值分析进行验证。从参数研究中可以看出，通过提供中间屏障可以显著提高管道的稳定性。此外，随着交通荷载的增加，管道变形也会增加。在非常高的速度范围内（>60 m/s），随着交通速度的增加，管道变形会显著增加。本研究可用于在进行严格和昂贵的数值或实验研究之前的初步设计阶段。
