Reliability assessment of truss structures with natural frequency constraints using metaheuristic algorithms
The failure probability (reliability index) and evaluation of safety of structures is a subject of interest in structural engineering. In order to calculate the reliability index, moment methods require an explicit mathematical form of the limit state function and gradient of this function, and simu...
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Published in | Journal of Building Engineering Vol. 28; p. 101065 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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Elsevier Ltd
01.03.2020
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Abstract | The failure probability (reliability index) and evaluation of safety of structures is a subject of interest in structural engineering. In order to calculate the reliability index, moment methods require an explicit mathematical form of the limit state function and gradient of this function, and simulation methods are dependent on a large number of evaluations of this function. In this study, in order to reduce computational efforts, the optimization problem is formulated so it can calculate the reliability index for structural problems with an implicit limit-state function. For this purpose, the objective function is formulated based on the Hasofer and Lind method, and the limit state function is defined based the first mode frequency. The random variables consist of modulus of elasticity, material density, non-structural mass, and cross-sectional area. To evaluate accuracy of the proposed approach in estimating the reliability index, four truss structures are selected and their reliability index is calculated by using six meta-heuristic algorithms including WEO, AWEO, CBO, ECBO, VPS, and EVPS. Compared with the Monte Carlo simulation method, the proposed approach shows acceptable performance.
•An approach proposed to calculate the reliability index of the structures with population-based meta-heuristic algorithms.•The approach provides an efficient procedure for reliability assessment of structures with implicit limit-state function.•The proposed approach doesn't depend on a large number of evaluations of the limit-state function. |
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AbstractList | The failure probability (reliability index) and evaluation of safety of structures is a subject of interest in structural engineering. In order to calculate the reliability index, moment methods require an explicit mathematical form of the limit state function and gradient of this function, and simulation methods are dependent on a large number of evaluations of this function. In this study, in order to reduce computational efforts, the optimization problem is formulated so it can calculate the reliability index for structural problems with an implicit limit-state function. For this purpose, the objective function is formulated based on the Hasofer and Lind method, and the limit state function is defined based the first mode frequency. The random variables consist of modulus of elasticity, material density, non-structural mass, and cross-sectional area. To evaluate accuracy of the proposed approach in estimating the reliability index, four truss structures are selected and their reliability index is calculated by using six meta-heuristic algorithms including WEO, AWEO, CBO, ECBO, VPS, and EVPS. Compared with the Monte Carlo simulation method, the proposed approach shows acceptable performance.
•An approach proposed to calculate the reliability index of the structures with population-based meta-heuristic algorithms.•The approach provides an efficient procedure for reliability assessment of structures with implicit limit-state function.•The proposed approach doesn't depend on a large number of evaluations of the limit-state function. |
ArticleNumber | 101065 |
Author | Mehanpour, Hashem Hoseini Vaez, Seyed Rohollah Fathali, Mohammad Ali |
Author_xml | – sequence: 1 givenname: Seyed Rohollah surname: Hoseini Vaez fullname: Hoseini Vaez, Seyed Rohollah email: hoseinivaez@qom.ac.ir – sequence: 2 givenname: Hashem surname: Mehanpour fullname: Mehanpour, Hashem – sequence: 3 givenname: Mohammad Ali surname: Fathali fullname: Fathali, Mohammad Ali |
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Keywords | Frequency constraints Reliability index Truss structures Optimization Failure probability Metaheuristic algorithms |
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SubjectTerms | Failure probability Frequency constraints Metaheuristic algorithms Optimization Reliability index Truss structures |
Title | Reliability assessment of truss structures with natural frequency constraints using metaheuristic algorithms |
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