Structural Failure Probability Estimation Using HDMR and FFT
This paper presents a new and alternative method based on High Dimensional Model Representation (HDMR) and fast Fourier transform (FFT) to estimate the structural failure probability of structural systems subject to random loads, material properties and geometry. The proposed methodology is based o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Electronic Journals for Science and Engineering - International
2008-06-01
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| Series: | Electronic Journal of Structural Engineering |
| Subjects: | |
| Online Access: | https://ejsei.com/EJSE/article/view/101 |
| _version_ | 1797733579082432512 |
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| author | R. Chowdhury B. N. Rao |
| author_facet | R. Chowdhury B. N. Rao |
| author_sort | R. Chowdhury |
| collection | DOAJ |
| description |
This paper presents a new and alternative method based on High Dimensional Model Representation (HDMR) and fast Fourier transform (FFT) to estimate the structural failure probability of structural systems subject to random loads, material properties and geometry. The proposed methodology is based on the limit state/performance function approximation and the convolution theorem to estimate the structural failure probability. The limit-state function is obtained by linear approximation of the first-order HDMR component functions at the most probable failure point, and the convolution integral is solved efficiently using the FFT technique. The proposed technique estimates the failure probability accurately with significantly less computational effort compared to the direct Monte Carlo simulation. The accuracy and efficiency of the proposed method is demonstrated through numerical examples involving implicit performance functions.
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| first_indexed | 2024-03-12T12:31:05Z |
| format | Article |
| id | doaj.art-decd96c5057d4428a85d5ae31e27a3c1 |
| institution | Directory Open Access Journal |
| issn | 1443-9255 |
| language | English |
| last_indexed | 2024-03-12T12:31:05Z |
| publishDate | 2008-06-01 |
| publisher | Electronic Journals for Science and Engineering - International |
| record_format | Article |
| series | Electronic Journal of Structural Engineering |
| spelling | doaj.art-decd96c5057d4428a85d5ae31e27a3c12023-08-29T10:29:06ZengElectronic Journals for Science and Engineering - InternationalElectronic Journal of Structural Engineering1443-92552008-06-01810.56748/ejse.8101Structural Failure Probability Estimation Using HDMR and FFTR. Chowdhury0B. N. Rao1Indian Institute of Technology Madras Indian Institute of Technology Madras This paper presents a new and alternative method based on High Dimensional Model Representation (HDMR) and fast Fourier transform (FFT) to estimate the structural failure probability of structural systems subject to random loads, material properties and geometry. The proposed methodology is based on the limit state/performance function approximation and the convolution theorem to estimate the structural failure probability. The limit-state function is obtained by linear approximation of the first-order HDMR component functions at the most probable failure point, and the convolution integral is solved efficiently using the FFT technique. The proposed technique estimates the failure probability accurately with significantly less computational effort compared to the direct Monte Carlo simulation. The accuracy and efficiency of the proposed method is demonstrated through numerical examples involving implicit performance functions. https://ejsei.com/EJSE/article/view/101Structural ReliabilityHigh Dimensional Model RepresentationFast Fourier TransformFailure Probability |
| spellingShingle | R. Chowdhury B. N. Rao Structural Failure Probability Estimation Using HDMR and FFT Electronic Journal of Structural Engineering Structural Reliability High Dimensional Model Representation Fast Fourier Transform Failure Probability |
| title | Structural Failure Probability Estimation Using HDMR and FFT |
| title_full | Structural Failure Probability Estimation Using HDMR and FFT |
| title_fullStr | Structural Failure Probability Estimation Using HDMR and FFT |
| title_full_unstemmed | Structural Failure Probability Estimation Using HDMR and FFT |
| title_short | Structural Failure Probability Estimation Using HDMR and FFT |
| title_sort | structural failure probability estimation using hdmr and fft |
| topic | Structural Reliability High Dimensional Model Representation Fast Fourier Transform Failure Probability |
| url | https://ejsei.com/EJSE/article/view/101 |
| work_keys_str_mv | AT rchowdhury structuralfailureprobabilityestimationusinghdmrandfft AT bnrao structuralfailureprobabilityestimationusinghdmrandfft |