基于最小势能原理的土钉支护结构位移解析解

Analytical solution on the displacement of soil-nail braced structure based on the minimum potential energy principle

土钉支护是一种经济便捷的基坑支护方式。以往的土钉支护结构的设计中,多以强度为控制指标,而很少考虑支护结构的变形。通过对土钉面层受力分析,建立了其势能方程。基于最小势能原理推求了土钉支护基坑水平位移的闭合形式解。通过工程算例,将结果分别与实测数据和数值解进行了对比。结果表明:此解析解是合理可行的,可以满足工程需要。

Soil nailing is an economical and convenient bracing structure for foundation pits.In previous researches,the strength control is the main standard in the structural design of the soil-nail braced structure,but the deformation control is rarely considered.A closed-form solution for the horizontal displacement of the soil-nail braced structure is presented.An energy equation is established based on the mechanical characteristics of the surface layer.According to the principle of the minimum potential energy,a closed-form solution on the horizontal displacement of the soil-nail braced structure is derived.The results are validated through a comparison with a project case.It shows that this analytical solution is reasonable and feasible and can satisfy the engineering requirements.