基于SPH-FEM耦合方法的落石冲击拱形钢筋混凝土棚洞数值模拟

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (13) : 118-125.

论文

柳春1，余志祥1,2，郭立平1，骆丽茹1，赵世春1,2

作者信息 +

Numerical simulation for rock-fall impacting an arch RC hangar tunnel based on SPH-FEM coupled method

LIU Chun1, YU Zhixiang1,2, GUO Liping1, LUO Liru1, ZHAO Shichun1,2

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文章历史 +

摘要

与框架钢筋混凝土棚洞相比，拱形钢筋混凝土棚洞具有自重小、跨度大的优点，其常用砂土垫层来耗散冲击能量。针对有限元法(FEM)模拟拱棚洞砂土材料超大变形问题时所存在的困难，建立了限元（FEM）与光滑粒子流体动力学(SPH)的耦合数值计算方法。利用SPH粒子模拟落石冲击区域的大变形砂土，为提高计算效率和精度，非冲击区域砂土用有限元单元模拟，并将混凝土、钢筋、岩石、冲击锤等划分成Lagrange标准有限元网格；然后基于耦合SPH-FEM方法建立了落石冲击拱形钢筋混凝土棚洞数值模型。研究结果表明：随着冲击能量的增大，冲击力峰值和拱中点位移峰值也逐渐增大；与足尺冲击试验结果对比，冲击力峰值和拱中点位移峰值最大误差均没有超过10%，验证了数值耦合模型的准确性；数值耦合模型形象再现了砂土成坑的物理过程，砂土垫层耗能占初始冲击动能的85%以上，说明砂垫层是一种很好的缓冲耗能材料。SPH-FEM耦合方法显示出了模拟拱形钢筋混凝土棚洞冲击问题的有效性。

Abstract

Compared with frame reinforced concrete (RC) hangar tunnels, arch RC ones have advantages of small self-weight and large span, and sand cushion is commonly used by the latter to dissipate impact energy. Aiming at the existing difficulty of using FEM to simulate arch hangar tunnel’s sand materials with super-large deformation, the smooth particle hydrodynamics-finite element method (SPH-FEM) coupled method was proposed. SPH particles were used to simulate large deformation sand cushion in rock-fall impact area to improve computation efficiency and accuracy, finite elements were used to simulate sand cushion in non-impact area. Concrete, reinforcement, rock and ram hammers, etc. were divided into Lagrange standard finite element meshes. Based on the SPH-FEM coupled method, the numerical model for rock-fall impacting an arch RC hangar tunnel was established. The numerical simulation results showed that with increase in impact energy, impact force peak and displacement peak at arch middle point gradually increase; compared with full-scale impact test results, maximum errors of impact force peak and displacement peak at arch middle point are less than 10%, so the correctness of the numerical coupled model is verified; the numerical coupled model vividly reproduces a physical process of sand pit-forming, sand cushion’s energy-dissipating occupies more than 85% of initial impact kinetic energy, so sand cushion is a very good material for buffering and energy-dissipating; the SPH-FEM coupled method is aneffective means to simulate rock-fall impacting arch RC hangar tunnels.

导出引用

柳春1，余志祥1,2，郭立平1，骆丽茹1，赵世春1,2. 基于SPH-FEM耦合方法的落石冲击拱形钢筋混凝土棚洞数值模拟[J]. 振动与冲击, 2019, 38(13): 118-125

LIU Chun1, YU Zhixiang1,2, GUO Liping1, LUO Liru1, ZHAO Shichun1,2. Numerical simulation for rock-fall impacting an arch RC hangar tunnel based on SPH-FEM coupled method[J]. Journal of Vibration and Shock, 2019, 38(13): 118-125

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