摘要:
钢筋混凝土(RC)棚洞是山区公路和铁路设施抗落石冲击的有效原位防护手段,利用LS-DYNA商用有限元软件开展了落石冲击无垫层、铺设600mm和1200mm厚砂垫层以及1200mm厚砂-发泡聚乙烯泡沫(EPE)复合缓冲垫层的原型框架T梁式RC棚洞损伤破坏评估的精细化数值模拟分析。首先,建立了落石(质量:1t~30t,速度:10m/s~57m/s)冲击沪昆铁路某原型框架T梁式RC棚洞的精细化有限元模型。其次,通过对比落锤(石)冲击无垫层、带砂和EPE垫层RC板试验中的落石冲击力、加速度和侵入深度时程,以及RC板支座反力和挠度时程,充分验证了数值仿真方法中的材料模型、网格尺寸、接触算法及其参数取值的适用性和可靠性。进一步,对比分析了落石冲击下无垫层、铺设砂和砂-EPE复合垫层原型棚洞的损伤破坏和动态响应。最后,以落石最大侵入深度达到棚洞顶板与垫层总厚度作为棚洞失效破坏阈值,给出了棚洞失效破坏对应的落石质量与临界冲击速度关系式,实现棚洞防护性能的快速评估。/t/n(1)质量15t、速度10m/s和25m/s的落石冲击下,无垫层棚洞的损伤破坏集中于顶板冲击区域,铺设砂垫层以及砂-EPE复合垫层平均可分别降低落石冲击力峰值92.8%和91.6%,棚洞其余受弯构件的最大挠度范围为2mm~20mm,呈现轻微损伤;(2)落石冲击速度为10m/s时,砂-EPE复合垫层的缓冲耗能效果优于砂垫层,冲击速度增大至25m/s时,复合垫层中的EPE被快速压实导致其防护效果不及砂垫层,顶板承受的冲击力和冲击能量较铺设砂垫层分别增大了89.3%和37.8%;(3)棚洞失效破坏对应的落石临界冲击速度随落石质量增大呈幂函数衰减规律,铺设垫层可使临界冲击速度提高52%~155%,显著提升棚洞的防护性能。
Abstract:
Reinforced concrete (RC) shed serves as an effective in-situ solution for rockfall protection along mountainous highways and railways. Using the commercial software LS-DYNA, refined numerical simulations were conducted to investigate the damage and failure assessment of a prototype framed T-beam type RC shed under rockfall impact. The simulations considered scenarios both with and without cushions, including 600 mm and 1200 mm sand cushions, as well as 1200 mm sand-expandable polyethylene (EPE) composite cushion. Firstly, a refined finite element model of a prototype framed T-beam type RC shed located on the Shanghai-Kunming railway under rockfall impact was developed, of which the rockfall masses ranging from 1 t to 30 t and impact velocities ranging from 10 m/s to 57 m/s. Secondly, by comparing with the results of existing impact tests on bare RC slab, as well as RC slabs with sand and EPE cushions, i.e., impact force-time history of the drop hammer, acceleration and penetration depth-time histories of the rockfall, as well as reaction force and deflection-time histories of the RC slabs, the accuracy and reliability of the adopted material constitutive model, mesh size, contact algorithm, and corresponding parameters were validated. Furthermore, the damage patterns and dynamic responses of the prototype shed without cushion, with sand cushion, and with sand-EPE composite cushion were compared and analyzed. Finally, taking the maximum penetration depth of the rockfall reaching the total thickness of the roof slab and cushion as the failure threshold of the shed, the corresponding relationship between the rockfall mass and the critical impact velocity was established, which enabled rapid assessment of protective performance of sheds. It indicates that: (1) Under the impact of a 15 t rockfall at velocities of 10 m/s and 25 m/s, the damage to the shed without cushion is primarily concentrated in the impact area of the roof slab. On average, the use of sand cushion and sand-EPE composite cushion reduces the peak impact force by 92.8% and 91.6%, respectively. The maximum deflections, ranging from 2 mm to 20 mm, indicate only slight damage to other flexural components of the shed; (2) At impact velocity of 10 m/s, the sand-EPE composite cushion exhibits superior buffering and energy dissipation performance compared to the sand cushion. However, with impact velocity increasing to 25 m/s, the EPE in the composite cushion is rapidly compacted, leading to a diminished protective effect. In this scenario, the impact force and energy transferred to the roof slab with the composite cushion are 89.3% and 37.8% higher than those with the sand cushion, respectively; (3) The critical impact velocity of rockfall corresponding to the failure damage of the shed follows an exponential decay trend as the rockfall mass increases. The application of cushions can increase the critical impact velocity by 52% to 155%, significantly improving the protective performance of the shed.