Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High-Order Moment Method
In this paper, the high-order moment method (HOMM) was developed for estimating pile foundation bearing capacity reliability assessment. Firstly, after the performance function was established, the first four moments (viz. mean, variance, skewness, and kurtosis) were suggested to be determined by a...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/2082021 |
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| _version_ | 1850172834910830592 |
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| author | Qiang Fu Xiao Li Zilong Meng Yinuo Liu Xueji Cai Huawei Fu |
| author_facet | Qiang Fu Xiao Li Zilong Meng Yinuo Liu Xueji Cai Huawei Fu |
| author_sort | Qiang Fu |
| collection | DOAJ |
| description | In this paper, the high-order moment method (HOMM) was developed for estimating pile foundation bearing capacity reliability assessment. Firstly, after the performance function was established, the first four moments (viz. mean, variance, skewness, and kurtosis) were suggested to be determined by a point estimate method based on two-dimensional reduction integrations. Then, the probability distribution of the performance function for the pile foundation bearing capacity was then approximated by a four-parameter cubic normal distribution, in which its distribution parameters are the first four moments. Meanwhile, the quantile of the probability distribution for the performance function and its reliability index was capable to be obtained through this distribution. In order to examine the efficiency of this method in engineering application, four pile foundations with different length-diameter radios were investigated in detail. The results demonstrate that the reliability analysis based on HOMM is greatly improved to the computational efficiency without loss precision compared with Monte Carlo simulation (MCS) and does not require complex partial derivative solving, checking point sought, and large numbers of iteration comparing with first-order reliability method (FORM). Moreover, the probability distribution function (PDF) approximated by the four-parameter cubic normal distribution was found to be consistent with that obtained by MCS. Eventually, the effects of parameter sensitivity for relative soil layer of the certain pile on reliability index were illustrated using the above-mentioned method. It indicated that the HOMM is an effective and simple approach for reliability assessment of the pile foundation bearing capacity. |
| format | Article |
| id | doaj-art-d4dbef2c0cbe45ec87a74ed9dc50188b |
| institution | OA Journals |
| issn | 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-d4dbef2c0cbe45ec87a74ed9dc50188b2025-08-20T02:19:58ZengWileyShock and Vibration1875-92032021-01-01202110.1155/2021/2082021Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High-Order Moment MethodQiang Fu0Xiao Li1Zilong Meng2Yinuo Liu3Xueji Cai4Huawei Fu5School of Civil EngineeringSchool of Civil EngineeringSchool of Civil EngineeringSchool of Civil EngineeringSchool of Architectural EngineeringSchool of Civil EngineeringIn this paper, the high-order moment method (HOMM) was developed for estimating pile foundation bearing capacity reliability assessment. Firstly, after the performance function was established, the first four moments (viz. mean, variance, skewness, and kurtosis) were suggested to be determined by a point estimate method based on two-dimensional reduction integrations. Then, the probability distribution of the performance function for the pile foundation bearing capacity was then approximated by a four-parameter cubic normal distribution, in which its distribution parameters are the first four moments. Meanwhile, the quantile of the probability distribution for the performance function and its reliability index was capable to be obtained through this distribution. In order to examine the efficiency of this method in engineering application, four pile foundations with different length-diameter radios were investigated in detail. The results demonstrate that the reliability analysis based on HOMM is greatly improved to the computational efficiency without loss precision compared with Monte Carlo simulation (MCS) and does not require complex partial derivative solving, checking point sought, and large numbers of iteration comparing with first-order reliability method (FORM). Moreover, the probability distribution function (PDF) approximated by the four-parameter cubic normal distribution was found to be consistent with that obtained by MCS. Eventually, the effects of parameter sensitivity for relative soil layer of the certain pile on reliability index were illustrated using the above-mentioned method. It indicated that the HOMM is an effective and simple approach for reliability assessment of the pile foundation bearing capacity.http://dx.doi.org/10.1155/2021/2082021 |
| spellingShingle | Qiang Fu Xiao Li Zilong Meng Yinuo Liu Xueji Cai Huawei Fu Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High-Order Moment Method Shock and Vibration |
| title | Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High-Order Moment Method |
| title_full | Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High-Order Moment Method |
| title_fullStr | Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High-Order Moment Method |
| title_full_unstemmed | Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High-Order Moment Method |
| title_short | Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High-Order Moment Method |
| title_sort | reliability assessment on pile foundation bearing capacity based on the first four moments in high order moment method |
| url | http://dx.doi.org/10.1155/2021/2082021 |
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