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温度作用概率分布与可靠指标研究

范重 吴雨璇 贡金鑫 牟在根 刘涛 宋丽莉

范重, 吴雨璇, 贡金鑫, 牟在根, 刘涛, 宋丽莉. 温度作用概率分布与可靠指标研究[J]. 工程力学, 2022, 39(S): 296-311, 319. doi: 10.6052/j.issn.1000-4750.2021.05.S054
引用本文: 范重, 吴雨璇, 贡金鑫, 牟在根, 刘涛, 宋丽莉. 温度作用概率分布与可靠指标研究[J]. 工程力学, 2022, 39(S): 296-311, 319. doi: 10.6052/j.issn.1000-4750.2021.05.S054
FAN Zhong, WU Yu-xuan, GONG Jin-xin, MU Zai-gen, LIU Tao, SONG Li-li. STADY ON PROBABILITY DISTRIBUTION AND RELIABILITY INDEX OF THERMAL ACTION[J]. Engineering Mechanics, 2022, 39(S): 296-311, 319. doi: 10.6052/j.issn.1000-4750.2021.05.S054
Citation: FAN Zhong, WU Yu-xuan, GONG Jin-xin, MU Zai-gen, LIU Tao, SONG Li-li. STADY ON PROBABILITY DISTRIBUTION AND RELIABILITY INDEX OF THERMAL ACTION[J]. Engineering Mechanics, 2022, 39(S): 296-311, 319. doi: 10.6052/j.issn.1000-4750.2021.05.S054

温度作用概率分布与可靠指标研究

doi: 10.6052/j.issn.1000-4750.2021.05.S054
基金项目: 中国建设科技集团中央研究院科技创新基金项目(Z2020C01)
详细信息
    作者简介:

    吴雨璇(1994−),女,河北人,工学硕士,主要从事大跨度结构研究(E-mail: 13241811108@163.com)

    贡金鑫(1964−),男,河北人,教授,博士,主要从事工程结构可靠性研究(E-mail: jinxinggong@163.com)

    牟在根(1960−),男,黑龙江人,教授,博士,主要从事结构工程与钢结构研究(E-mail: zgmu@ces.ustb.edu.cn)

    刘 涛(1991−),男,湖南人,工学硕士,主要从事大跨度结构设计研究(E-mail: 2016130@cadg.cn)

    宋丽莉(1963−),女,山东人,研究员,学士,博导,主要从事气候资源、工程气象研究(E-mail: songll@cma.gov.cn)

    通讯作者:

    范 重(1959−),男,北京人,教授级高工,博士,主要从事建筑结构设计研究(E-mail: fanz@cadg.cn)

  • 中图分类号: TU311.2

STADY ON PROBABILITY DISTRIBUTION AND RELIABILITY INDEX OF THERMAL ACTION

  • 摘要: 选取中国六大区域的代表性城市,对1970年−2019年50年期间的气象温度记录进行统计分析,确定基本气温的概率分布。考察合龙温度的取值规律,确定合龙温度的允许波动区间。根据基本气温与合龙温度的概率分布函数确定正、负温差,通过数理统计方法得到温度作用的分项系数与组合值系数。针对各类结构构件不同受力状态,采用一次二阶矩法计算温度作用分项系数与组合值系数的可靠指标,考察温度作用分项系数与组合值系数取值的合理性。分析结果表明:中国最高温度月的月平均最高气温和最低温度月的月平均最低气温均服从极值I型分布。合龙温度宜接近常年平均气温,在允许的波动区间内近似为均匀分布。温度作用分项系数随着合龙温度区间加大而增大,组合值系数随着合龙温度区间加大而减小。随着温度作用增大,其分项系数的可靠指标先增大、后减小,组合值系数的可靠指标逐渐减小,分项系数取1.5、组合值系数取0.6时,可以满足相应可靠指标的要求。
  • 1  六大城市近50年月平均最值气温情况

    1.  Monthly average maximum air temperature in the six major cities in recent 50 years

    2  六大城市月平均最高气温统计分布

    2.  Statistical distribution of monthly average maximum air temperature in the six major cities

    3  六大城市月平均最低温度统计分布

    3.  Statistical distribution of monthly average minimum air temperature in the six major cities

    4  波动系数λT对温度作用概率分布的影响

    4.  Influence of fluctuation coefficient λT on probability distribution of thermal action

    图  5  合龙温度波动系数λT与温度作用分项系数γT的关系

    Figure  5.  Relationship between closure temperature fluctuation coefficient λT and partial factor γT of thermal action

    图  6  钢筋混凝土构件效应比与可靠指标的关系

    Figure  6.  Relationship between effect ratio and reliability index for reinforced concrete members

    表  1  六大城市的纬度、海拔高度和近50年月平均最值气温

    Table  1.   Latitude, altitude and monthly average extreme temperature of the six major cities in recent 50 years

    城市纬度海拔高度/m平均气温/(℃)最高气温
    /(℃)
    最低气温
    /(℃)
    最大温差
    /(℃)
    哈尔滨45°56′118.34.7131.43−30.2061.63
    北京39°48′31.312.7334.51−12.4146.92
    兰州36°30′1517.210.2733.44−12.9846.42
    上海31°12′4.616.8336.85−1.2938.13
    成都30°45′547.716.0633.37−0.0733.44
    广州23°13′70.722.2035.146.5128.63
    下载: 导出CSV

    表  2  月平均最值气温的统计参数

    Table  2.   Statistical parameters of monthly average maximum air temperature /(℃)

    城市 最高气温 最低气温
    μmax σmax umax αmax μmin σmin umin αmin
    哈尔滨 28.336 1.244 27.776 1.031 −23.723 3.463 −22.164 2.700
    北京 31.648 1.558 30.946 0.823 −7.945 1.954 −7.066 1.524
    兰州 30.010 1.472 29.348 0.871 −9.595 1.854 −8.761 1.446
    上海 32.983 1.855 32.148 0.691 1.605 1.876 2.450 1.463
    成都 30.263 1.349 29.656 0.951 2.264 1.000 2.714 0.780
    广州 33.418 0.894 33.015 1.434 9.784 1.560 10.486 1.216
    下载: 导出CSV

    表  3  六大城市基本气温的统计参数

    Table  3.   Statistical parameters of reference air temperature in the six major cities /(℃)

    城市 最高气温 最低气温
    μT,max σT,max uT,max αT,max μT,min σT,min uT,min αT,min
    哈尔滨 32.131 1.244 31.571 1.031 −34.285 3.463 −32.727 2.700
    北京 36.400 1.558 35.699 0.823 −13.906 1.954 −13.026 1.524
    兰州 34.501 1.472 33.838 0.871 −15.251 1.854 −14.416 1.446
    上海 38.643 1.855 37.808 0.691 −4.118 1.876 −3.273 1.463
    成都 34.378 1.349 33.771 0.951 −0.786 1.000 −0.336 0.780
    广州 36.146 0.894 35.744 1.434 5.027 1.560 5.729 1.216
    下载: 导出CSV

    表  4  六大城市温度作用的分项系数

    Table  4.   Partial factors of thermal action in the six major cities

    $合龙温度波动系数 {\lambda }_{ {\rm{T} }} $哈尔滨北京兰州上海成都广州
    $ {\gamma }_{ {\rm{T} }}^{+} $$ {\gamma }_{ {\rm{T} }}^{-} $${\gamma }_{{\rm{T}}}^{+}$${\gamma }_{{\rm{T}}}^{-}$${\gamma }_{{\rm{T}}}^{+}$${\gamma }_{{\rm{T}}}^{-}$${\gamma }_{{\rm{T}}}^{+}$${\gamma }_{{\rm{T}}}^{-}$${\gamma }_{{\rm{T}}}^{+}$${\gamma }_{{\rm{T}}}^{-}$${\gamma }_{{\rm{T}}}^{+}$${\gamma }_{{\rm{T}}}^{-}$
    0.01.1581.3161.2321.2591.2131.2571.3021.3191.2601.2081.2261.323
    0.11.2211.3321.2671.2841.2491.2831.3241.3401.2871.2471.2651.341
    0.21.3511.3841.3641.3571.3441.3611.3901.4081.3661.3471.3681.398
    0.31.5051.4631.4871.4581.4631.4671.4861.5071.4731.4711.4981.483
    0.41.6741.5581.6261.5731.5971.5871.5981.6231.5961.6101.6441.585
    0.51.8591.6641.7791.6991.7441.7191.7231.7521.7311.7611.8051.699
    注:$\gamma_{\rm T}^+$为正温差分项系数;$\gamma_{\rm T}^-$为负温差分项系数。
    下载: 导出CSV

    表  5  六大城市温度作用的组合值系数

    Table  5.   Combination value factors of thermal action in the six major cities

    合龙温度波动系数$ {\lambda }_{ {\rm{T} }} $哈尔滨北京兰州上海成都广州
    ${\psi }_{{\rm{T}}}^{+}$${\psi }_{{\rm{T}}}^{-}$${\psi }_{{\rm{T}}}^{+}$${\psi }_{{\rm{T}}}^{-}$${\psi }_{{\rm{T}}}^{+}$${\psi }_{{\rm{T}}}^{-}$${\psi }_{{\rm{T}}}^{+}$${\psi }_{{\rm{T}}}^{-}$${\psi }_{{\rm{T}}}^{+}$${\psi }_{{\rm{T}}}^{-}$${\psi }_{{\rm{T}}}^{+}$${\psi }_{{\rm{T}}}^{-}$
    0.00.7910.6330.7120.6850.7310.6880.6450.6300.6840.7360.7180.626
    0.10.6780.5820.6310.6200.6500.6190.5850.5700.6150.6510.6320.572
    0.20.5450.5110.5260.5320.5460.5280.5030.4860.5230.5430.5220.497
    0.30.4250.4370.4250.4440.4450.4380.4190.4020.4320.4400.4180.420
    0.40.3200.3660.3330.3630.3540.3540.3410.3230.3470.3470.3230.347
    0.50.2270.2990.2500.2880.2710.2770.2680.2510.2700.2640.2390.278
    注:${\psi }_{ {\rm{T} } }^{+}$为正温差组合值系数;${\psi }_{ {\rm{T} } }^{-}$为负温差组合值系数。
    下载: 导出CSV

    表  6  六大城市正、负温差的统计参数

    Table  6.   Statistical parameters of positive and negative temperature difference in the six major cities

    统计参数 正温差 负温差
    ${\mu _{\Delta {{\rm{T}}^ + } } }$/(℃) ${\sigma _{\Delta {{\rm{T}}^ + } } }$/(℃) ${k_{\Delta {{\rm{T}}^ + } } }$ ${\delta _{\Delta {{\rm{T}}^ + } } }$ ${\mu _{\Delta {{\rm{T}}^ - } } }$/(℃) ${\sigma _{\Delta {{\rm{T}}^ - } } }$/(℃) ${k_{\Delta {{\rm{T}}^ - } } }$ ${\delta _{\Delta {{\rm{T}}^ - } } }$
    哈尔滨 27.42 1.24 1.19 0.05 −39.00 3.46 1.45 −0.09
    北京 23.67 1.56 1.30 0.07 −26.64 1.95 1.35 −0.07
    兰州 24.23 1.47 1.27 0.06 −25.52 1.85 1.34 −0.07
    上海 21.81 1.86 1.43 0.09 −20.95 1.88 1.46 −0.09
    成都 18.32 1.35 1.35 0.07 −16.85 1.00 1.26 −0.06
    广州 13.95 0.89 1.29 0.06 −17.17 1.56 1.47 −0.09
    下载: 导出CSV

    表  7  结构构件抗力统计参数与可靠指标

    Table  7.   Statistical parameters and reliability index of resistance of structural members

    构件分类受力状态${k}_{{\rm{R}}}$${\delta }_{{\rm{R}}}$${\gamma }_{{\rm{R}}}$${\beta }_{{\rm{T}}}$
    普通钢构件轴心受压1.110.1201.1693.2
    偏心受压1.210.1501.1363.2
    冷弯薄壁型钢构件(Q345)轴心受压1.140.1381.1583.2
    偏心受压1.200.1451.1563.2
    钢筋混凝土构件轴心受拉1.100.1001.1303.2
    轴心受压1.330.1701.2363.7
    受弯1.130.1001.1003.2
    受剪1.240.1901.4153.7
    注:kRδR均为统计参数;γR为抗力分项系数;βT为可靠指标限值。
    下载: 导出CSV

    表  8  普通钢构件温度作用分项系数的可靠指标

    Table  8.   Reliability index of partial factors of thermal action for ordinary steel members

    受力状态温度作用效应比$ \rho $哈尔滨北京兰州上海成都广州
    轴心受拉正温差0.13.5513.5663.5453.5603.5543.551
    0.23.6223.6583.6243.6473.6233.587
    0.33.5943.6633.6273.6553.6183.550
    0.43.5163.6163.5813.6153.5703.479
    0.53.4293.5493.5153.5543.5043.397
    负温差0.13.5513.5513.5523.5693.5523.558
    0.23.6683.6443.6453.6533.6133.631
    0.33.7133.6583.6603.6483.6033.637
    0.43.7033.6213.6253.5933.5543.604
    0.53.6633.5613.5663.5203.4883.551
    偏心受压正温差0.13.2963.3093.2913.3053.3033.305
    0.23.3743.4003.3703.3903.3743.352
    0.33.3883.4323.3963.4213.3923.347
    0.43.3623.4283.3893.4183.3803.315
    0.53.3183.4023.3633.3963.3523.271
    负温差0.13.2923.2953.2963.3143.3023.306
    0.23.3963.3833.3843.3993.3673.379
    0.33.4523.4193.4203.4253.3813.402
    0.43.4733.4203.4223.4133.3663.398
    0.53.4713.4003.4023.3823.3363.378
    下载: 导出CSV

    表  9  冷弯薄壁型钢构件温度作用分项系数的可靠指标

    Table  9.   Reliability index of partial factors of thermal action for cold formed thin-walled steel members

    受力状态温度作用效应比$ \rho $哈尔滨北京兰州上海成都广州
    轴心受压 正温差 0.1 3.275 3.289 3.270 3.285 3.281 3.283
    0.2 3.355 3.383 3.351 3.373 3.354 3.328
    0.3 3.361 3.411 3.374 3.400 3.369 3.317
    0.4 3.325 3.399 3.359 3.390 3.350 3.277
    0.5 3.271 3.364 3.325 3.360 3.314 3.225
    负温差 0.1 3.272 3.274 3.276 3.293 3.280 3.285
    0.2 3.382 3.366 3.367 3.381 3.346 3.359
    0.3 3.438 3.400 3.401 3.402 3.356 3.380
    0.4 3.454 3.394 3.395 3.382 3.334 3.371
    0.5 3.444 3.365 3.368 3.342 3.297 3.344
    偏心受压 正温差 0.1 3.453 3.466 3.447 3.462 3.458 3.459
    0.2 3.528 3.556 3.525 3.546 3.528 3.503
    0.3 3.533 3.582 3.546 3.571 3.541 3.490
    0.4 3.495 3.568 3.530 3.560 3.521 3.449
    0.5 3.438 3.531 3.494 3.528 3.483 3.396
    负温差 0.1 3.450 3.452 3.453 3.470 3.458 3.462
    0.2 3.555 3.540 3.541 3.554 3.520 3.533
    0.3 3.609 3.571 3.572 3.573 3.528 3.552
    0.4 3.623 3.564 3.565 3.551 3.506 3.542
    0.5 3.612 3.534 3.537 3.509 3.467 3.514
    下载: 导出CSV

    表  10  钢筋混凝土结构构件温度作用分项系数的可靠指标

    Table  10.   Reliability index of partial factors of thermal action for reinforced concrete structure members

    受力状态温度作用效应比$ \rho $哈尔滨北京兰州上海成都广州
    轴心受拉正温差0.13.7243.7413.7183.7343.7253.716
    0.23.7783.8273.7933.8183.7873.737
    0.33.6963.7933.7593.7923.7493.661
    0.43.5683.6983.6683.7073.6583.546
    0.53.4483.5953.5663.6093.5573.432
    负温差0.13.7303.7263.7273.7443.7213.729
    0.23.8543.8173.8183.8183.7753.799
    0.33.8743.7973.8013.7703.7333.781
    0.43.8213.7153.7213.6663.6423.710
    0.53.7423.6183.6263.5593.5413.623
    轴心受压正温差0.13.9383.9493.9333.9453.9423.944
    0.24.0044.0284.0014.0194.0033.982
    0.34.0084.0514.0204.0424.0153.970
    0.43.9714.0384.0054.0323.9973.932
    0.53.9164.0033.9714.0013.9613.881
    负温差0.13.9353.9373.9383.9533.9423.946
    0.24.0274.0144.0154.0273.9974.008
    0.34.0744.0424.0424.0434.0044.025
    0.44.0884.0354.0364.0233.9834.016
    0.54.0774.0074.0093.9833.9473.990
    受弯正温差0.13.7243.7413.7183.7343.7253.716
    0.23.7783.8273.7933.8183.7873.737
    0.33.6963.7933.7593.7923.7493.661
    0.43.5683.6983.6683.7073.6583.546
    0.53.4483.5953.5663.6093.5573.432
    负温差0.13.7303.7263.7273.7443.7213.729
    0.23.8543.8173.8183.8183.7753.799
    0.33.8743.7973.8013.7703.7333.781
    0.43.8213.7153.7213.6663.6423.710
    0.53.7423.6183.6263.5593.5413.623
    受剪正温差0.13.8843.8953.8803.8923.8903.893
    0.23.9503.9713.9463.9633.9503.933
    0.33.9654.0003.9703.9913.9673.931
    0.43.9463.9993.9673.9913.9603.906
    0.53.9083.9803.9463.9743.9373.869
    负温差0.13.8803.8833.8843.8993.8903.893
    0.23.9663.9573.9583.9713.9443.954
    0.34.0143.9893.9893.9953.9583.975
    0.44.0353.9923.9933.9883.9473.973
    0.54.0353.9783.9803.9633.9233.958
    下载: 导出CSV

    表  11  普通钢构件轴心受压组合值系数的可靠指标

    Table  11.   Reliability index of combination value factors of thermal action for ordinary steel members under axial tension

    组合值系数
    ψT
    ρ1ρ2
    0.10.20.30.40.5平均值
    0.45 0.2 3.981 3.676 3.351 3.044 2.774 3.365
    0.3 4.274 3.986 3.664 3.348 3.065 3.667
    0.4 4.453 4.212 3.919 3.610 3.321 3.903
    0.5 4.534 4.350 4.110 3.829 3.546 4.074
    0.6 4.560 4.418 4.234 4.001 3.739 4.191
    0.7 4.562 4.449 4.304 4.122 3.898 4.267
    0.8 4.553 4.460 4.343 4.198 4.018 4.314
    0.9 4.539 4.460 4.363 4.245 4.100 4.342
    1.0 4.523 4.455 4.373 4.274 4.155 4.356
    均值 4.442 4.274 4.074 3.852 3.624
    总均值 4.053
    0.60 0.2 4.081 3.862 3.604 3.349 3.120 3.603
    0.3 4.363 4.155 3.897 3.629 3.385 3.886
    0.4 4.530 4.363 4.133 3.870 3.620 4.103
    0.5 4.599 4.481 4.304 4.071 3.825 4.256
    0.6 4.617 4.532 4.405 4.225 4.001 4.356
    0.7 4.612 4.550 4.456 4.324 4.143 4.417
    0.8 4.598 4.550 4.479 4.381 4.245 4.450
    0.9 4.579 4.542 4.487 4.411 4.308 4.465
    1.0 4.560 4.530 4.486 4.426 4.346 4.470
    均值 4.504 4.396 4.250 4.076 3.888
    总均值 4.223
    下载: 导出CSV

    表  12  冷弯薄壁型钢构件轴心受压组合值系数的可靠指标

    Table  12.   Reliability index of combination value factors for cold formed thin-walled steel members under axial compression

    组合值系数
    ψT
    ρ1ρ2
    0.10.20.30.40.5平均值
    0.45 0.2 3.659 3.399 3.130 2.873 2.642 3.141
    0.3 3.936 3.684 3.415 3.152 2.911 3.419
    0.4 4.135 3.908 3.653 3.394 3.149 3.648
    0.5 4.258 4.068 3.843 3.599 3.358 3.825
    0.6 4.323 4.170 3.983 3.766 3.539 3.956
    0.7 4.354 4.230 4.078 3.895 3.691 4.050
    0.8 4.368 4.265 4.139 3.988 3.813 4.115
    0.9 4.371 4.284 4.179 4.053 3.905 4.158
    1.0 4.369 4.294 4.204 4.098 3.973 4.188
    均值 4.197 4.034 3.847 3.646 3.442
    总均值 3.833
    0.60 0.2 3.748 3.566 3.361 3.156 2.967 3.360
    0.3 4.016 3.837 3.628 3.414 3.213 3.622
    0.4 4.207 4.046 3.849 3.637 3.431 3.834
    0.5 4.320 4.192 4.022 3.825 3.622 3.996
    0.6 4.378 4.279 4.145 3.976 3.786 4.113
    0.7 4.403 4.327 4.223 4.087 3.922 4.193
    0.8 4.411 4.352 4.270 4.163 4.028 4.245
    0.9 4.410 4.363 4.298 4.212 4.104 4.277
    1.0 4.405 4.366 4.313 4.244 4.156 4.297
    均值 4.255 4.148 4.012 3.857 3.692
    总均值 3.993
    下载: 导出CSV

    表  13  钢筋混凝土构件轴心受拉组合值系数的可靠指标

    Table  13.   Reliability index of combination value factors for reinforced concrete members under axial tension

    组合值系数
    ψT
    ρ1ρ2
    0.10.20.30.40.5平均值
    0.45 0.2 4.217 3.846 3.442 3.073 2.760 3.468
    0.3 4.518 4.186 3.788 3.406 3.075 3.795
    0.4 4.650 4.404 4.065 3.691 3.353 4.033
    0.5 4.678 4.502 4.255 3.928 3.597 4.192
    0.6 4.667 4.534 4.354 4.107 3.805 4.293
    0.7 4.642 4.537 4.399 4.217 3.973 4.354
    0.8 4.614 4.527 4.417 4.276 4.092 4.385
    0.9 4.585 4.513 4.421 4.308 4.165 4.398
    1.0 4.559 4.496 4.419 4.324 4.208 4.401
    均值 4.570 4.394 4.173 3.925 3.670
    总均值 4.146
    0.60 0.2 4.332 4.056 3.720 3.401 3.131 3.728
    0.3 4.618 4.376 4.043 3.707 3.417 4.032
    0.4 4.732 4.568 4.299 3.970 3.670 4.248
    0.5 4.747 4.641 4.463 4.188 3.893 4.386
    0.6 4.726 4.654 4.536 4.346 4.083 4.469
    0.7 4.695 4.642 4.559 4.432 4.234 4.512
    0.8 4.661 4.622 4.560 4.468 4.332 4.529
    0.9 4.628 4.598 4.550 4.481 4.384 4.528
    1.0 4.598 4.574 4.536 4.482 4.408 4.520
    均值 4.637 4.526 4.363 4.164 3.950
    总均值 4.328
    下载: 导出CSV

    表  14  钢筋混凝土构件轴心受压组合值系数的可靠指标

    Table  14.   Reliability index of combination value factors for reinforced concrete members under axial compression

    组合值系数
    ψT
    ρ1ρ2
    0.10.20.30.40.5平均值
    0.450.24.2604.0423.8113.5853.3753.815
    0.34.4944.2824.0543.8263.6104.053
    0.44.6674.4734.2574.0343.8174.250
    0.54.7804.6144.4204.2103.9994.405
    0.64.8424.7074.5434.3554.1564.520
    0.74.8724.7624.6274.4674.2884.603
    0.84.8844.7934.6814.5484.3944.660
    0.94.8864.8094.7154.6044.4744.698
    1.04.8824.8164.7364.6424.5334.722
    均值4.7304.5894.4274.2524.072
    总均值4.414
    0.600.24.3344.1834.0083.8283.6574.002
    0.34.5624.4114.2364.0513.8714.226
    0.44.7284.5914.4254.2434.0624.410
    0.54.8344.7214.5754.4064.2284.553
    0.64.8914.8024.6844.5374.3724.657
    0.74.9164.8484.7554.6354.4914.729
    0.84.9234.8704.7974.7024.5834.775
    0.94.9214.8804.8224.7464.6504.804
    1.04.9154.8814.8344.7734.6964.820
    均值4.7804.6874.5714.4364.290
    总均值4.553
    下载: 导出CSV
  • [1] 益德清. 建筑结构在温度作用下的计算[J]. 工程力学, 1988, 5(1): 37 − 51.

    Yi Deqing. Calculation of building structure under temperature effect [J]. Engineering Mechanics, 1988, 5(1): 37 − 51. (in Chinese)
    [2] 冯健, 吕志涛, 吴志彬, 等. 超长混凝土结构的研究与应用[J]. 建筑结构学报, 2001, 22(6): 14 − 19. doi: 10.3321/j.issn:1000-6869.2001.06.002

    Feng Jian, Lü Zhitao, Wu Zhibin, et al. Research and application of super length concrete structure [J]. Journal of Building Structures, 2001, 22(6): 14 − 19. (in Chinese) doi: 10.3321/j.issn:1000-6869.2001.06.002
    [3] 范重, 王喆, 唐杰. 国家体育场大跨度钢结构温度场分析与合龙温度研究[J]. 建筑结构学报, 2007, 28(2): 32 − 40. doi: 10.3321/j.issn:1000-6869.2007.02.004

    Fan Zhong, Wang Zhe, Tang Jie. Analysis on temperature field and determination of temperature upon healing of large-span steel structure of the National Stadium [J]. Journal of Building Structures, 2007, 28(2): 32 − 40. (in Chinese) doi: 10.3321/j.issn:1000-6869.2007.02.004
    [4] 傅学怡, 吴兵. 混凝土结构温差收缩效应分析计算[J]. 土木工程学报, 2007, 40(10): 50 − 59.

    Fu Xueyi, Wu Bing. Analysis and calculation of temperature variation and shrinkage effects on RC building structures [J]. China Civil Engineering Journal, 2007, 40(10): 50 − 59. (in Chinese)
    [5] 范重, 李夏, 晁江月, 等. 航站楼使用阶段钢结构温度取值研究[J]. 建筑科学与工程学报, 2017, 34(4): 9 − 18. doi: 10.3969/j.issn.1673-2049.2017.04.002

    Fan Zhong, Li Xia, Chao Jiangyue, et al. Study on temperature of steel structure on Terminal Building in the use phase [J]. Journal of Architecture and Civil Engineering, 2017, 34(4): 9 − 18. (in Chinese) doi: 10.3969/j.issn.1673-2049.2017.04.002
    [6] 范重, 陈巍, 李夏, 等. 超长框架结构温度作用研究[J]. 建筑结构学报, 2018, 39(1): 136 − 145.

    Fan Zhong, Chen Wei, Li Xia, et al. Study on temperature effect of super length frame structures [J]. Journal of Building Structures, 2018, 39(1): 136 − 145. (in Chinese)
    [7] GB 50009−2012, 建筑结构荷载规范[S]. 北京: 中国建筑工业出版社, 2012.

    GB 50009−2012, Load code for the design of building structures [S]. Beijing: China Architectural and Building Press, 2012. (In Chinese)
    [8] BS EN 1991-1-5, Actions on structures, Part1-5: General actions-thermal loads for buildings [S]. London: British Standards Institution, 2003.
    [9] GB 50068−2018, 建筑结构可靠性设计统一标准[S]. 北京: 中国建筑工业出版社, 2018.

    GB 50068−2018, Unified standard for reliability design of building structures [S]. Beijing: China Architectural and Building Press, 2018. (in Chinese)
    [10] ASCE/SEI 7-10, Minimum design loads for buildings and other structures [S]. Reston: American Society of Civil Engineering, 2010.
    [11] Cornell C A. A probability-based structural code [J]. Journal of the American Concrete Institute, 1969, 66(12): 974 − 985.
    [12] Hasofer A M, Lind N. Exact and invariant second-moment code format [J]. Journal of the Engineering Mechanics, 1974, 100(1): 111 − 121.
    [13] Rackwitz R, Flessler B. Structural reliability under combined random load sequences [J]. Computers and Structures, 1978, 9(5): 489 − 494. doi: 10.1016/0045-7949(78)90046-9
    [14] ISO 2394−2015, General principles on reliability for structures [S]. Switzerland: International Standard Organization, 2015.
    [15] ASHTO LRFD, Bridge design specifications (8th Edition) [S]. American: American Association of State Highway and Transportation Officials, 2017.
    [16] 贡金鑫, 魏巍巍, 赵国藩. 工程结构可靠性设计原理[M]. 北京: 机械工业出版社, 2007: 76 − 81.

    Gong Jinxin, Wei Weiwei, Zhao Guofan. Reliability design principle of engineering structure [M]. Beijing: China Machine Press, 2007: 76 − 81. (in Chinese)
    [17] 施刚, 朱希. 国产高强度结构钢设计指标和可靠度分析[J]. 建筑结构学报, 2016, 37(11): 144 − 159. doi: 10.14006/j.jzjgxb.2016.11.019

    Shi Gang, Zhu Xi. Design indexes and reliability analysis of domestic high-strength structural steels [J]. Journal of Building Structures, 2016, 37(11): 144 − 159. (in Chinese) doi: 10.14006/j.jzjgxb.2016.11.019
    [18] 李慧乐, 夏禾. 基于车桥耦合随机振动分析的钢桥疲劳可靠度评估[J]. 工程力学, 2017, 34(2): 69 − 77. doi: 10.6052/j.issn.1000-4750.2015.04.0334

    Li Huile, Xia He. Fatigue reliability evaluation of steel bridges based on coupling random vibration analysis of train and bridge [J]. Engineering Mechanics, 2017, 34(2): 69 − 77. (in Chinese) doi: 10.6052/j.issn.1000-4750.2015.04.0334
    [19] 刘娇, 刘敬敏, 余波, 等. 工程结构体系可靠度分析的最新研究进展[J]. 工程力学, 2017, 34(增刊): 31 − 37. doi: 10.6052/j.issn.1000-4750.2016.04.S056

    Liu Jiao, Liu Jingmin, Yu Bo, et al. Recent research progress on structural system reliability analysis [J]. Engineering Mechanics, 2017, 34(Suppl): 31 − 37. (in Chinese) doi: 10.6052/j.issn.1000-4750.2016.04.S056
    [20] 李继华, 林忠民, 李明顺, 等. 建筑结构概率极限状态设计[M]. 北京: 中国建筑工业出版社, 1990: 347 − 366.

    Li Jihua, Lin Zhongmin, Li Mingshun, et al. Probabilistic limit state design of building structures [M]. Beijing: China Architecture & Building Press, 1990: 347 − 366. (in Chinese)
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  • 收稿日期:  2021-05-30
  • 修回日期:  2022-03-04
  • 网络出版日期:  2022-04-06
  • 刊出日期:  2022-06-06

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