爆炸荷载在圆截面桥梁墩柱上的分布规律

彭玉林; 吴昊; 方秦

doi:10.11883/bzycj-2018-0317

爆炸荷载在圆截面桥梁墩柱上的分布规律

doi: 10.11883/bzycj-2018-0317

彭玉林^1,,
吴昊^2, ,,
方秦¹

1.
陆军工程大学爆炸冲击防灾减灾国家重点实验室，江苏南京 210007
2.
同济大学结构工程与防灾研究所，上海 200092

基金项目: 国家自然科学基金（51522813）

详细信息

作者简介:
彭玉林（1995－　），男，硕士研究生，happyasam@163.com

通讯作者:
吴　昊（1981－　），男，博士，教授，博导，abrahamhao@126.com

中图分类号: O383
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- 被引次数: 0
出版历程
- 收稿日期: 2018-08-27
- 修回日期: 2018-11-27
- 网络出版日期: 2019-09-25
- 刊出日期: 2019-12-01

Blast loading distributions on the circular sectional bridge columns

PENG Yulin^1
,,
WU Hao^{2
, ,},
FANG Qin¹

1.
State Key Laboratory of Disaster Prevention & Mitigation of Explosion & Impact, Army Engineering University of PLA, Nanjing 210007, Jiangsu, China
2.
Structural Engineering and Disaster Prevention Research Institute, Tongji University, Shanghai 200092, China

摘要

摘要: 墩柱是桥梁结构的主要承载构件，研究爆炸荷载在墩柱上的分布规律是分析爆炸荷载作用下桥梁结构动态响应的前提。以圆截面桥梁墩柱为研究对象，基于LS-DYNA软件建立了桥梁墩柱的有限元模型，综合考虑炸药当量、爆心高度、爆炸距离和墩柱直径等影响因素，基于数值模拟得到爆心高度低于0.3倍墩柱高度，比例距离为0.5～2.1 m/kg^1/3和墩柱直径为0.15～1 m时，爆炸荷载冲量沿墩柱高度和横截面方向上的分布。结果表明：沿墩柱高度方向，地面爆炸或爆心高度为0.1倍柱高时，墩柱前表面冲量近似“单线性”分布，当爆心高度距地面0.2和0.3倍柱高时，墩柱前表面冲量近似“双线性”分布；沿横截面方向的平均净冲量与其前表面冲量之比为常数。基于上述爆炸荷载冲量分布规律，进一步提出了爆炸荷载作用在桥梁墩柱上总净冲量的计算方法，从而为桥梁墩柱抗爆响应分析与设计提供一定的理论基础。
- 桥梁墩柱 /
- 爆炸荷载 /
- 圆形截面 /
- 分布规律 /
- 数值模拟
Abstract: Column is the main bearing member in bridge. It is the premise for analyzing the dynamic response of the bridge under blast loading to study the distribution law of blast load acted on bridge columns. Circular sectional bridge column has been selected as the research object, and the corresponding finite element models have been built by using the LS-DYNA software. When the height of burst is less than 0.3 times of the column height, the scaled distance is 0.5−2.1 m/kg^1/3 and the column diameter is 0.15−1 m, the distributions of the blast loading impulse along column height and cross-section direction are obtained through numerical simulations. The influential parameters, e.g., the explosive equivalent, height of burst, explosion distance and sectional diameter, have been considered. It is derived that, along the column height, when the contact burst and the height of burst is 0.1 times of the column height, the blast loading impulse on the column front surface approximately follows the " Single linear” distribution. When the height of burst is 0.2 and 0.3 times of the column height, the blast loading impulse approximately follows the " Double linear” distribution. Along the cross-section direction, the ratio of the average net blast loading impulse to the blast impulse on the column front surface is a constant. Furthermore, the resultant net blast loading impulse of bridge column has been obtained, which can put some theoretical basis for blast-resistant analysis and design of bridge columns.
- bridge column /
- blast loading /
- circular section /
- distribution law /
- numerical simulation

HTML全文

图 1 爆炸荷载作用下倒塌的桥梁^[2-3]

Figure 1. Collapse of bridges under blast loading^[2-3]

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图 2 SC-1墩柱爆炸试验布置^[20]

Figure 2. SC-1 bridge column blast test setup^[20]

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图 3 有限元模型

Figure 3. Finite element model

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图 4 爆炸冲击波传播云图

Figure 4. Blast wave propagation contour

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图 5 各测点反射超压时程曲线的试验和数值模拟结果对比

Figure 5. Comparisons of the experimental and numerical simulated reflected overpressure time-history for each gauge

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图 6 数值模拟中墩柱表面测点分布^{[10, 15]}

Figure 6. Gauging points in numerical simulation^{[10, 15]}

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图 7 不同爆心高度时爆炸荷载冲量沿墩柱高度和横截面方向的分布(Z=1.1 m/kg^1/3)

Figure 7. Blast loading impulse distributions along column height and cross-section directions for different heights of burst (Z=1.1 m/kg^1/3)

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图 8 柱前表面冲量分布的简化模型

Figure 8. Simplified models for blast loading impulse distributions on the column front surface

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图 9 不同比例距离下的柱前表面冲量(h_b/H_m=0)

Figure 9. Blast loading impulses on the column front surface for different scaled distances (h_b/H_m=0)

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图 10 不同比例距离下的柱前表面冲量(h_b/H_m=0.1)

Figure 10. Blast loading impulses on the column front surface for different scaled distances (h_b/H_m=0.1)

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图 11 不同比例距离下的柱前表面冲量(h_b/H_m=0.2)

Figure 11. Blast loading impulses on the column front surface for different scaled distances (h_b/H_m=0.2)

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图 12 不同比例距离下的柱前表面冲量(h_b/H_m=0.3)

Figure 12. Blast loading impulses on the column front surface for different scaled distances (h_b/H_m=0.3)

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图 13 α随Z和D的变化曲线

Figure 13. Variation of α with Z and D

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图 14 净冲量的一般计算流程

Figure 14. General calculation process of the net impulse

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表 1 刚体材料模型参数

Table 1. Parameters for rigid material model

ρ/(kg·m⁻³) E/GPa v

3×10³ 210 0.3

　注：ρ为密度；E为弹性模量；v为泊松比。

下载: 导出CSV

表 2 空气材料模型及状态方程参数

Table 2. Parameters for air material model and equation of state

ρ/(kg·m⁻³) c₀ c₁ c₂ c₃ c₄ c₅ c₆ E₀/(J·m⁻³)

1.29 0 0 0 0 0.4 0.4 0 0.25

　注：ρ 为密度；E 为弹性模量。

下载: 导出CSV

表 3 TNT炸药材料模型及状态方程参数

Table 3. Parameters for TNT material model and equation of state

ρ/(kg·m⁻³) D/(m·s⁻¹) p_CJ/GPa A/GPa B/GPa R₁ R₂ ω E₀ /(MJ·m⁻³) V

1.63×10³ 6.93×10³ 21 371 3.23 4.15 0.95 0.3 7 1

　注：为密度；D 为爆轰速度；p_CJ 为C-J爆压。

下载: 导出CSV

参考文献(24)

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ρ/(kg·m⁻³)	E/GPa	v
3×10³	210	0.3
注：ρ为密度；E为弹性模量；v为泊松比。

ρ/(kg·m⁻³)	c₀	c₁	c₂	c₃	c₄	c₅	c₆	E₀/(J·m⁻³)
1.29	0	0	0	0	0.4	0.4	0	0.25
注：ρ 为密度；E 为弹性模量。

ρ/(kg·m⁻³)	D/(m·s⁻¹)	p_CJ/GPa	A/GPa	B/GPa	R₁	R₂	ω	E₀ /(MJ·m⁻³)	V
1.63×10³	6.93×10³	21	371	3.23	4.15	0.95	0.3	7	1
注：为密度；D 为爆轰速度；p_CJ 为C-J爆压。

爆炸荷载在圆截面桥梁墩柱上的分布规律

doi: 10.11883/bzycj-2018-0317

作者简介: 彭玉林（1995－ ），男，硕士研究生，happyasam@163.com

通讯作者: 吴 昊（1981－ ），男，博士，教授，博导，abrahamhao@126.com

计量

出版历程

Blast loading distributions on the circular sectional bridge columns

计量

出版历程

目录

作者简介:
彭玉林（1995－　），男，硕士研究生，happyasam@163.com

通讯作者:
吴　昊（1981－　），男，博士，教授，博导，abrahamhao@126.com