基于随机分布特性的退化结构可靠度评估方法

TH122; 为了解决在基于随机载荷及强度退化的结构可靠度评估中采用近似算法而存在结果不准确、对模型参数敏感等问题,提出了基于随机分布特性的建模方法.该方法考虑随机载荷出现的分布特性,应用载荷-强度模型和随机过程理论以提高可靠度计算的准确性.以随机载荷计数模型是泊松过程为例,分析证明了随机载荷到达时间的分布特性,基于此推导了第1次载荷作用的可靠度公式,并根据全概率公式对结构可靠度的计算公式进行了理论推导.算例分析表明,该方法与Monte Carlo仿真结果一致,验证了方法的正确性,与其他方法对比提高了可靠度计算的准确性....

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Published in东北大学学报（自然科学版） Vol. 45; no. 10; pp. 1417 - 1424
Main Authors 杨再有, 吕昊, 赵亚平
Format Journal Article
LanguageChinese
Published 东北大学 机械工程与自动化学院,辽宁 沈阳 110819 15.10.2024
Subjects
structural reliability
Monte Carlo
degraded structure
随机分布
random distribution
load-strength model
退化结构
载荷-强度模型
结构可靠度
Online AccessGet full text
ISSN1005-3026
DOI10.12068/j.issn.1005-3026.2024.10.007

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Abstract TH122; 为了解决在基于随机载荷及强度退化的结构可靠度评估中采用近似算法而存在结果不准确、对模型参数敏感等问题,提出了基于随机分布特性的建模方法.该方法考虑随机载荷出现的分布特性,应用载荷-强度模型和随机过程理论以提高可靠度计算的准确性.以随机载荷计数模型是泊松过程为例,分析证明了随机载荷到达时间的分布特性,基于此推导了第1次载荷作用的可靠度公式,并根据全概率公式对结构可靠度的计算公式进行了理论推导.算例分析表明,该方法与Monte Carlo仿真结果一致,验证了方法的正确性,与其他方法对比提高了可靠度计算的准确性.
AbstractList TH122; 为了解决在基于随机载荷及强度退化的结构可靠度评估中采用近似算法而存在结果不准确、对模型参数敏感等问题,提出了基于随机分布特性的建模方法.该方法考虑随机载荷出现的分布特性,应用载荷-强度模型和随机过程理论以提高可靠度计算的准确性.以随机载荷计数模型是泊松过程为例,分析证明了随机载荷到达时间的分布特性,基于此推导了第1次载荷作用的可靠度公式,并根据全概率公式对结构可靠度的计算公式进行了理论推导.算例分析表明,该方法与Monte Carlo仿真结果一致,验证了方法的正确性,与其他方法对比提高了可靠度计算的准确性.
Abstract_FL To solve such problems as inaccurate results and sensitivity to model parameters in structural reliability evaluation based on random load and strength degradation,a modeling method based on random distribution characteristics was proposed.The distribution characteristics of random load were considered,and the load-strength model and stochastic process theory were used to improve the accuracy of reliability calculation.Taking the counting model of random load as the Poisson process for example,the distribution characteristics of random load arrival time were analyzed and proved.Based on this,the reliability formula of the first load was derived,and the calculation formula of structural reliability was derived theoretically according to the total probability formula.An example analysis showed that the proposed method is consistent with Monte Carlo simulation results,which verifies the correctness of the proposed method and improves the accuracy of reliability calculation compared with the other methods.
Author 赵亚平
杨再有
吕昊
AuthorAffiliation 东北大学 机械工程与自动化学院,辽宁 沈阳 110819
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YANG Zai-you
ZHAO Ya-ping
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DocumentTitle_FL Reliability Evaluation Method of Degraded Structures Based on Random Distribution Characteristics
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Keywords structural reliability
Monte Carlo
degraded structure
随机分布
random distribution
load-strength model
退化结构
载荷-强度模型
结构可靠度
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Snippet TH122; 为了解决在基于随机载荷及强度退化的结构可靠度评估中采用近似算法而存在结果不准确、对模型参数敏感等问题,提出了基于随机分布特性的建模方法.该方法考虑随机载荷...
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Title 基于随机分布特性的退化结构可靠度评估方法
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