首页|考虑不确定性的钢筋混凝土柱等效塑性铰长度概率模型

考虑不确定性的钢筋混凝土柱等效塑性铰长度概率模型

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为克服传统等效塑性铰长度模型无法综合考虑多种因素及其不确定性影响所存在的缺陷,研究提出了一种模型形式简洁且能够综合考虑各种关键因素及其不确定性影响的钢筋混凝土(RC)柱等效塑性铰长度概率模型.首先基于等效塑性铰理论,综合考虑柱高、轴压比、纵筋配筋率、纵筋强度和纵筋直径的影响,建立了等效塑性铰长度的解析表达式;然后通过引入概率模型参数来描述不确定性的影响,结合贝叶斯理论与马尔科夫链蒙特卡洛法对概率模型参数进行动态更新,建立了等效塑性铰长度的概率模型;最后结合试验数据和概率模型,对传统等效塑性铰长度模型进行概率校准分析.分析表明,所建立的模型具有较高的计算精度,并且能够对等效塑性铰长度的概率分布特征进行合理描述,同时还可以校准传统等效塑性铰长度模型,并依据预定的置信水平确定RC柱等效塑性铰长度的概率特征值.
Probabilistic Model for Equivalent Plastic Hinge Length of Reinforced Concrete Columns Considering Uncertainties
In order to overcome the shortcomings that traditional models of equivalent plastic hinge length do not take into account the influences of multiple factors and their uncertainties,a probabilistic model for equivalent plastic hinge length of reinforced concrete columns considering uncertainties was established.Based on the equivalent plastic hinge theory,an analytical expression was determined first by taking into account the influences of axial compression ratio,column height,longitudinal reinforcement ratio,yield strength and diameter of longitudinal reinforcement.Then a probabilistic model for equivalent plastic hinge length was established by adding the probabilistic model parameters to describe the influence of uncertainties and updating the probabilistic model parameters based on the Bayesian theory and the Markov Chain Monte Carlo method.Finally,probabilistic calibration of traditional equivalent plastic hinge length model is performed based on the experimental data and probabilistic model.Analysis shows that the proposed model exhibits high prediction accuracy,which not only reasonably describes the probabilistic distribution characteristics of equivalent plastic hinge length,but also calibrates the traditional deterministic model and determines the probabilistic characteristic values of equivalent plastic hinge length of RC columns with predefined confidence level.

reinforced concrete columnsequivalent plastic hinge lengthBayesian theoryprobabilistic modelprobability calibrationconfidence levelprobabilistic characteristic values

余波、李劭楠、喻泽成、张强

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广西大学土木建筑工程学院,广西南宁 530004

工程防灾与结构安全教育部重点实验室,广西南宁 530004

广西防灾减灾与工程安全重点实验室,广西南宁 530004

钢筋混凝土柱 等效塑性铰长度 贝叶斯理论 概率模型 概率校准分析 置信水平 概率特征值

国家自然科学基金国家自然科学基金国家自然科学基金广西杰出青年科学基金广西壮族自治区研究生教育创新计划

5166800852278162622660052019GXNSFFA245004YCBZ2022011

2024

10.16058/j.issn.1005-0930.2024.03.015

应用基础与工程科学学报
中国自然资源学会

应用基础与工程科学学报

CSTPCD北大核心
影响因子：0.895
ISSN：1005-0930
年,卷(期)：2024.32(3)
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