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<p>This study examines the impact of arched seabed configurations on the thermal buckling behavior of steel pipelines. Through mathematical calculus and a proposed movement description scheme, the potential energy is derived in explicit form. Equilibrium equations are obtained through differential calculus of the potential energy. Theoretical solutions are developed to predict critical temperature variations by solving these equilibrium equations. The current predictions demonstrate strong correlation with existing practical results. Additionally, parametric analyses evaluate the effects of geometric and material properties on the pipeline’s thermal behavior. The findings indicate that arched seabed geometry significantly influences the critical temperature variations of steel pipelines. The key contributions and conclusions are: (1) An analytical framework is established to guide the design of anchored steel pipelines on arched seabeds; (2) Explicit thermal equilibrium relationships are developed to elucidate the stabilization mechanisms of steel pipelines on arched seabeds; (3) The critical temperature change increases with greater thickness-to-radius ratios and decreasing arch radii. Consequently, thicker pipelines may provide enhanced resistance to thermal buckling in practical applications.</p>

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Pre-Buckling and Post-Buckling Responses of the Heated Circular Steel Pipelines Laid on the Arched Seabed

  • 期刊论文

  • 发表日期：

    2026年2月16日

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  • Zhao-chao Li,
  • Di Hu,
  • Mei-ling Shen,
  • Hao Huang

摘要

This study examines the impact of arched seabed configurations on the thermal buckling behavior of steel pipelines. Through mathematical calculus and a proposed movement description scheme, the potential energy is derived in explicit form. Equilibrium equations are obtained through differential calculus of the potential energy. Theoretical solutions are developed to predict critical temperature variations by solving these equilibrium equations. The current predictions demonstrate strong correlation with existing practical results. Additionally, parametric analyses evaluate the effects of geometric and material properties on the pipeline’s thermal behavior. The findings indicate that arched seabed geometry significantly influences the critical temperature variations of steel pipelines. The key contributions and conclusions are: (1) An analytical framework is established to guide the design of anchored steel pipelines on arched seabeds; (2) Explicit thermal equilibrium relationships are developed to elucidate the stabilization mechanisms of steel pipelines on arched seabeds; (3) The critical temperature change increases with greater thickness-to-radius ratios and decreasing arch radii. Consequently, thicker pipelines may provide enhanced resistance to thermal buckling in practical applications.