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

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。

     

    Abstract: Based on the statistical analysis of meteorological temperature records from 1970 to 2019 in six representative cities in China, the probability distribution of reference air temperature was determined. The value law of closure temperature was investigated, and the allowable fluctuation range of closure temperature was determined. According to the probability distribution function of reference air temperature and closure temperature, the positive and negative temperature difference were determined, and then the partial factor and combination value factor of thermal action were calculated by mathematical statistics method. For various structural members under different loading actions, the reliability indices of partial factor and combined value factor of thermal action were calculated by first-order second-moment method, and the rationality of partial factor and combined value factor of thermal action was obtained. The analysis results show that the monthly average maximum temperature of the highest temperature month and the monthly average minimum temperature of the lowest temperature month in China both obey extreme I distribution. The closure temperature should be close to the annual average temperature, and approximately follow uniform distribution within the allowable temperature range. The partial factor of thermal action increases with the increase of closure temperature range, and the combined value factor of thermal action decreases with the increase of closure temperature range. With the increase of thermal action, the reliability index of partial factor first increases and then decreases, and the reliability index of combined value factor gradually decreases. When the partial factor is 1.5 and the combined value factor is 0.6, the requirements on the corresponding reliability index can be satisfied.

     

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