Seismic Fragility Assessment of Existing Communication Towers Considering Verticality Overrun and Partial Member Failure
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摘要: 既有通信铁塔地震易损性评估是通信系统地震风险评估工作的重要内容。受环境、人为等因素影响,既有通信铁塔在服役期内可能存在一些结构缺陷,如垂直度超限、部分杆件失效等,这些结构缺陷可能会影响通信铁塔的抗震性能。基于此,以一座高51.05 m的既有通信角钢塔为研究对象,基于OpenSees平台建立数值模型,分别采用移动坐标法和拆除构件法模拟垂直度超限和杆件失效,建立了考虑结构缺陷的通信铁塔数值模型;挑选了20条真实地震动记录,基于条带法进行了考虑垂直度超限和部分杆件失效的既有通信铁塔地震易损性分析。结果表明:垂直度超限和部分杆件失效会导致通信铁塔在地震作用下的失效概率显著增大,在既有通信铁塔抗震性能评估工作和通信系统地震风险评估工作中需考虑结构缺陷的影响。Abstract: Seismic fragility assessment of existing communication towers is an important component in the seismic risk assessment of communication systems. Due to the influence of environmental, human and other factors, there are some structural defects in the service period of existing communication towers, such as verticality overrun and failure of partial members, etc. These structural defects may affect the seismic performance of communication towers. In this paper, a 51.05m high existing communication angle steel tower is taken as the research object, and a numerical model is established based on the OpenSees, and the verticality overrun and failure of partial members are simulated by the moving coordinate method and the dismantling member method respectively, and the numerical model of the communication tower considering the structural defects is developed; Then, 20 real Seismic records are selected, and the seismic fragility analysis of existing communication towers is performed based on the strip method, which takes the verticality overrun and part of the partial members fail into consideration. The results show that: Verticality overrun and failure of partial members can lead to a significant reduction in the seismic performance of communication towers, and therefore the effects of structural defects need to be considered in the seismic performance assessment of existing communication towers and the seismic risk assessment of communication systems.
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表 1 通信铁塔构件规格及材性
Table 1. Communication tower member specifications and material properties
塔段 主材 斜材 横材 横隔 辅材 规格 材性 规格 材性 规格 材性 规格 材性 规格 材性 1 ∟180×14 Q345 ∟90×8 Q345 ∟90×8 Q345 ∟80×6 Q345 ∟80×6 Q235 2 ∟180×14 Q345 ∟80×8 Q345 ∟80×8 Q345 ∟70×6 Q345 ∟60×5 Q235 3 ∟160×12 Q345 ∟80×6 Q345 ∟75×7 Q345 ∟75×7 Q345 ∟50×5 Q235 4 ∟140×12 Q345 ∟70×7 Q345 ∟70×7 Q345 ∟70×7 Q345 ∟50×5 Q235 5 ∟100×10 Q345 ∟60×6 Q235 ∟60×6 Q235 ∟60×6 Q235 — — 6 ∟100×8 Q345 ∟60×6 Q235 ∟60×6 Q235 ∟50×5 Q235 — — 7 ∟100×8 Q345 ∟60×6 Q235 ∟60×6 Q235 ∟50×5 Q235 — — 8 ∟90×8 Q345 ∟60×5 Q235 ∟60×5 Q235 ∟50×5 Q235 — — 9 ∟80×8 Q345 ∟50×5 Q235 ∟50×5 Q235 ∟50×5 Q235 — — 注:∟代表等肢角钢。 表 2 通信铁塔挂载设备信息
Table 2. Mount device information
设备类型 尺寸/mm 数量 挂载高度/m 平台 4200 ×1200 (d×h)1 34.40 平台 4200 ×1200 (d×h)1 41.00 平台 4200 ×1200 (d×h)1 48.00 天线 1650 ×500×2002 34.40 天线 800×400×180 2 34.40 天线 1650 ×450×1802 41.00 RRU 420×300×120 4 34.40 RRU 420×300×120 4 41.00 微波 l=400 2 34.40 表 3 OpenSees和3 D3 S计算周期对比
Table 3. Comparison of OpenSees and 3 D3 S computation periods
周期 3D3S OpenSees 误差/% 第1阶 0.6887 0.6880 0.10 第2阶 0.6884 0.6878 0.09 第3阶 0.1775 0.1774 0.06 第4阶 0.1774 0.1773 0.06 第5阶 0.1634 0.1610 1.49 第6阶 0.1390 0.1385 0.36 第7阶 0.1117 0.1116 0.09 第8阶 0.1028 0.0996 3.21 第9阶 0.1015 0.0988 2.73 第10阶 0.0972 0.0973 0.10 第11阶 0.0962 0.0925 4.00 第12阶 0.0937 0.0921 1.74 表 4 本文算例通信铁塔损伤极限状态限值
Table 4. The damage state limits for the communication tower
损伤状态 基本完好 轻微破坏 严重破坏 毁坏 θPRDA θPRDA<0.386% 0.386%≤θPRDA <0.772% 0.772%≤θPRDA<0.987% θPRDA≥0.987% 表 5 20条地震动信息
Table 5. The 20 earthquake records information
序号 地震事件 记录台站 方向 震级(M) GM-1 Managua Nicaragua-01 Managua ESSO 90° 6.24 GM-2 Livermore-01 San Ramon Fire Station 70° 5.8 GM-3 Whittier Narrows-01 Baldwin Park - N Holly 180° 5.99 GM-4 Northridge-01 LA - Baldwin Hills 90° 6.69 GM-5 Northridge-01 LA - Century City CC North 90° 6.69 GM-6 Northridge-01 Malibu - Point Dume Sch 90° 6.69 GM-7 Northridge-01 Arleta - Nordhoff Fire Sta 360° 6.69 GM-8 Northridge-01 N Hollywood - Coldwater Can 270° 6.69 GM-9 Chalfant Valley-01 Bishop - LADWP South St 180° 5.77 GM-10 Chalfant Valley-01 Zack Brothers Ranch 270° 5.77 GM-11 Chalfant Valley-01 Benton 360° 5.77 GM-12 Chalfant Valley-01 Bishop - LADWP South St 270° 5.77 GM-13 Chalfant Valley-01 Lake Crowley - Shehorn Res 90° 5.77 GM-14 Chi-Chi China TCU129 E 7.62 GM-15 Chi-Chi China CHY019 N 7.62 GM-16 Chi-Chi China CHY050 E 7.62 GM-17 Chi-Chi China TCU122 N 7.62 GM-18 Chi-Chi China CHY050 N 7.62 GM-19 Mammoth Lakes-03 Long Valley Dam (Downst) 90° 6.06 GM-20 Mammoth Lakes-03 Long Valley Dam (L Abut) 90° 6.06 表 6 模型工况信息表
Table 6. Model condition information
工况 结构模型 1 完好结构 2 垂直度超限(δ=1/500) 3 部分杆件失效(塔段2处一面斜材) 4 垂直度超限(δ=1/500)且部分杆件失效(塔段2处一面斜材) 表 7 地震需求模型拟合
Table 7. Seismic demand model regression
工况 拟合结果 1 ln(θPRDA) = 0.9910 ln(amax) −5.1576 2 ln(θPRDA) = 0.9799 ln(amax) −4.8992 3 ln(θPRDA) = 0.9964 ln(amax) −4.9903 4 ln(θPRDA) = 0.9787 ln(amax) −4.8853 表 8 通信铁塔在不同强度等级地震作用下的3种极限状态超越概率
Table 8. Probability of exceeding three limit states of communication towers when subject to seismic actions of different intensity measures
工况 损伤极限状态 多遇地震 设防地震 罕遇地震 极罕遇地震1 极罕遇地震2 极罕遇地震3 0.07 g 0.2 g 0.4 g 0.58 g 0.62 g 0.825 g 1 LS1 0.247×10−7 0.177×10−2 0.107 0.366 0.428 0.694 LS2 0.456×10−12 0.206×10−5 0.169×10−2 0.211×10−1 0.310×10−1 0.119 LS3 0.485×10−14 0.967×10−7 0.208×10−3 0.424×10−2 0.674×10−2 0.038 2 LS1 0.1012 ×10−5
(↑3992.48 %)0.125×10−1
(↑603.59%)0.279
(↑159.89%)0.619
(↑69.08%)0.678
(↑58.35%)0.874
(↑25.94%)LS2 0.593×10−10
(↑12920.21 %)0.421×10−4
(↑1950.33 %)0.114×10−1
(↑576.00%)0.827×10−1
(↑292.52%)0.110
(↑257.85%)0.293
(↑146.22%)LS3 0.955×10−12
(↑19591.99 %)0.292×10−5
(↑2924.65 %)0.202×10−2
(↑872.53%)0.235×10−1
(↑452.81%)0.338×10−1
(↑401.53%)0.126
(↑231.58%)3 LS1 0.189×10−6
(↑662.25%)0.572×10−2
(↑222.47%)0.199
(↑85.47%)0.523
(↑42.97%)0.587
(↑37.18%)0.820
(↑18.16%)LS2 0.640×10−11
(↑1310.66 %)0.120×10−4
(↑497.34%)0.563×10−2
(↑232.71%)0.514×10−1
(↑144.04%)0.709×10−1
(↑131.10%)0.219
(↑84.03%)LS3 0.850×10−13
(↑1657.66 %)0.720×10−6
(↑647.07%)0.860×10−3
(↑314.97%)0.128×10−1
(↑202.46%)0.193×10−1
(↑185.91%)0.846×10−1
(↑122.63%)4 LS1 0.124×10−5
(↑4920.24 %)0.138×10−1
(↑679.66%)0.292
(↑172.90%)0.632
(↑72.68%)0.691
(↑61.45%)0.881
(↑26.95%)LS2 0.780×10−10
(↑17005.26 %)0.494×10−4
(↑2298.06 %)0.126×10−1
(↑645.56%)0.882×10−1
(↑318.01%)0.117
(↑277.42%)0.305
(↑156.30%)LS3 0.129×10−11
(↑26497.94 %)0.351×10−5
(↑3529.78 %)0.227×10−2
(↑991.35%)0.255×10−1
(↑501.42%)0.365×10−1
(↑441.54%)0.133
(↑250.00%) -
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