Dynamic Response Process of PC Box-Girder Bridge under Implosion Load
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摘要: 采用三阶段连续耦合有限元方法，对预应力钢筋砼（Prestressed reinforced concrete，PC）箱梁桥在内爆荷载作用下的动态响应过程进行了数值模拟，综合考虑了结构自重和预应力的影响，得到了PC箱梁桥局部和整体的破坏模式，并分析了破坏机理。结果表明：三阶段连续耦合有限元方法再现了PC箱梁桥局部破坏导致整体垮塌的物理过程；初始应力阶段，PC箱梁桥应力施加符合工程实际；局部响应阶段，腹板与顶板连接部位产生裂缝，顶板与底板在中央位置形成破口；整体响应阶段，在重力和预应力的作用下，箱梁桥先向上起拱，后向下垮塌，最终发生弯曲破坏。Abstract: In this work, a numerical simulation was performed on the dynamic response process of the prestressed reinforced concrete (PC) box-girder bridge under implosion load via three-stage continuous coupling finite element method. Taking gravity and prestress into account, the damage mode of PC box-girder bridge was obtained. Besides, the failure mechanism was analyzed. It is shown that the PC box-girder bridge’s physical process from partial destruction to overall collapse can be theoretically reproduced by the three-stage continuous coupled finite element method. At initial stress stage, the stress of the PC box-girder bridge meets the requirement of the actual project. At local response stage, cracks occur at the connection between the web and the roof, and a break around the top and bottom flanges comes into being in the center. At overall response stage, influenced by the gravity and prestress, the box-girder bridge first arches up, then collapses and finally makes a bending failure.
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Key words:
- three-stage continuous coupling /
- blasting /
- box-girder bridge /
- dynamic response
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图 1 钢筋混凝土板构件配筋及爆炸工况
Figure 1. Rebar arrangement and blasting conditions of reinforced concrete slab
图 2 试验结果与数值模拟结果的对比
Figure 2. Comparison of experimental and numerical simulation results
图 5 预应力钢筋单元轴力时程曲线
Figure 5. Axial force time history curve of prestressed reinforcement element
图 8 0.80 s时局部响应阶段箱梁桥的损伤破坏
Figure 8. Damage of box-girder bridge at local response stage at 0.80 s
图 9 2.50 s时整体响应阶段PC箱梁的损伤破坏
Figure 9. Damage of PC box girder at overall response stage at 2.50 s
图 12 局部响应阶段底板损伤破坏历程
Figure 12. Damage history of bottom flange at local response stage
图 14 整体响应阶段箱梁桥损伤破坏历程
Figure 14. Damage history of box-girder bridge at overall response stage
表 1 炸药的主要参数
Table 1. Main parameters of explosive
$\,\rho\rm{_e} $/(kg·m−3) D/(m·s−1) pC-J/GPa A/GPa B/GPa R1 R2 $\omega $ 1 630 6 930 21 371 353 4.15 0.95 0.3 
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表 2 空气的主要参数
Table 2. Main parameters of air
ρa/(kg·m−3) E0/(J·m−3) C0 C1 C2 C3 C4 C5 C6 1.293 2.5 × 105 0 0 0 0 0.4 0.4 0
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表 3 混凝土和钢筋材料的基本参数
Table 3. Basic parameters of concrete and rebar
Material $\,\rho $/(kg·m−3) E/MPa $\,\nu$ σbc/MPa $\varepsilon $ σy/MPa $E_{\rm{t} }$/GPa Concrete 2 650 28.3 0.2 34.4 0.01 Rebar 7 800 2.1 × 105 0.3 425 30
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表 4 试验结果与数值模拟结果对比
Table 4. Comparison of experimental and numerical simulation results
r/cm lmax/cm d/cm $\delta $/% Exp. Sim. Exp. Sim. Exp. Sim. r lmax d 30.0 27.0 78.0 71.0 13.6 12.0 10.0 9.0 11.8
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