Damage Characteristics of Highway Simply Supported Steel Box Girder Bridges under Near-Field Explosive Loading
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摘要: 为探究近场爆炸作用下公路简支钢箱梁桥的破坏特征,基于LS-DYNA建立了简支钢箱梁桥的有限元模型,通过钢箱梁缩尺模型爆炸实验验证了数值模拟方法的可靠性,探讨了不同爆炸荷载、不同爆炸位置下钢箱梁桥的破坏特征。研究结果表明,简支钢箱梁在近爆荷载作用下的破坏特征主要为局部破坏,包括顶板破坏、底板破坏以及隔板位移与破坏,其中受爆炸直接冲击的顶板破坏最为严重。爆炸位置对桥梁破坏的影响显著,无隔板约束位置的顶板破坏面积分别比单隔板和横、纵隔板共同约束位置增加了50%~70%。另外,纵隔板加劲肋会反射冲击波,进而导致底板裂口偏移,在500 kg当量范围内,最大裂口中心偏移量随着TNT当量的增加偏移0.5~1.5 m。因此,在实际钢箱梁桥设计中,应重视隔板和加劲肋的防护能力。Abstract: To study the damage characteristics of simply supported steel box girder bridges under near-field explosive loading, software LS-DYNA was used to establish the finite element model. Numerical validation was carried out for the steel box girder scale model, and the reliability of the numerical simulation method was verified. Damage simulation was carried out to explore the damage characteristics of the steel box girder bridge with different explosion loading cases and locations. The results show mainly local damage of simply supported steel box girder bridge under near-field explosive loading, and is mainly manifested as top plate failure, bottom plate failure and partitions deformation and failure. The top plate is the most serious failureis, which is affected by the direct impact of the explosion loading. The explosion location exerts a dominant effect on the failure of the bridge, and the failure area of the top plate at the location without diaphragm restraint is increased by 50%−70% compared with that at the location with single or both transverse and longitudinal diaphragm. Moreover, the stiffening ribs on the longitudinal diaphragm will reflect the shock wave, result in shift of the bottom plate crack. The maximum crack center shift is 0.5−1.5 m in 500 kg with the increase of TNT equivalent. Therefore, the protective effect of the diaphragm and the stiffening ribs is criticle for steel box grider bridges design.
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表 1 Q235B钢的力学性能指标和J-C模型参数
Table 1. Mechanical properties of Q235B steel and J-C model parameters
$ \rho $/(kg·m−3) E/GPa G/GPa ν A1/MPa B1/MPa n C M Tm/K Tr/K cp/(J·kg−1·K−1) 7 800 210 80.8 0.3 317 230 0.578 0.065 0.55 1795 293 469 D1 D2 D3 D4 D5 $ {\dot{ \varepsilon }}_{\text{0}} $/s−1 C0/(m·s−1) S1 S2 S3 $ {\gamma}_{\text{0}} $ $ \alpha $ 0.3 0.9 2.8 0 0 2.1×10−3 4 569 1.49 0 0 2.17 0.46 表 2 炸药的JWL状态方程的参数
Table 2. Parameters of the JWL equation of state for explosives
$ \rho $/(kg·m−3) A2/GPa B2/GPa $ {{R}}_{\text{1}} $ $ {{R}}_{{2}} $ $ \omega $ D/(m·s−1) $ {E}_{{0}} $/(J·kg−1) pCJ/GPa 1 630 373.77 3.747 1 4.15 0.9 0.35 6 930 3.681×106 21 表 3 理想气体状态方程参数
Table 3. Parameters of the ideal gas equation of state
$ \rho $/(kg·m−3) $\gamma$ e/(J·kg −1) $ {{p}}_{\text{shift}} $/Pa 1.225 1.4 2.0×105 0 表 4 实验结果与模拟结果对比
Table 4. Comparison of experimental and simulation results
Case l d h Exp./mm Sim./mm Error/% Exp./mm Sim./mm Error/% Exp./mm Sim./mm Error/% A 102 96.0 −5.88 32 34.0 6.25 5 5.6 12.00 B 59 62.0 5.08 47 52.0 10.64 4 3.8 −5.00 表 5 桥梁模型尺寸
Table 5. Dimensions of the bridge model
m Heights Width of top plate Width of bottom plate Width of flange Spacing of horizontal diaphragm Spacing of flange
diaphragm2 12.74 7.07 2.166 3 1.5 Thickness of flange Thickness of diaphragm Thickness of longitudinal septum Thickness of stiffening ribs Thickness of
top plateThickness of base plate Thickness of slant web 0.016 0.016 0.016 0.016 0.02 0.02 0.016 表 6 钢箱梁近场爆炸典型工况
Table 6. Typical cases for near-field explosion of steel box girders
Case Explosion location TNT equivalent/kg Scaled distance/(m·kg−1/3) 1 1 100 0.215 2 1 200 0.171 3 1 500 0.149 4 2 100 0.215 5 2 200 0.171 6 2 500 0.149 7 3 100 0.215 8 3 200 0.171 9 3 500 0.149 表 7 钢箱梁的主要破坏参数
Table 7. Main failure parameters of steel box girder
Case Maximum
deflection of
top plate/mCrack length of
top plate/mCrack length of bottom plate/m Displacement of
transverse
diaphragm/mDisplacement of
longitudinal
diaphragm/mCrosswise Vertically Crosswise Vertically 1 0.032 0.52 1.06 0.12 0.04 2 0.047 0.93 1.24 0.12 0.14 0.23 0.04 3 0.054 1.14 1.45 0.15 0.16 0.46 0.06 4 0.016 0.05 0.03 5 0.041 0.76 1.04 0.12 0.12 0.04 0.04 6 0.056 1.18 1.36 0.13 0.13 0.06 0.06 7 0.049 0.91 1.83 0.15 0.15 0.15 0.10 8 0.057 1.15 2.07 0.16 0.17 0.28 0.24 9 0.063 1.24 2.21 0.18 0.17 0.49 0.45 -
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